Math Statement

Problem 1001

36. Solve: $(-3)(-8)+(24) \div(-2)=$

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Problem 1002

$6 \frac{5}{8}-2 \frac{1}{4}=$

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Problem 1003

46. Write $156 \%$ as a decimal. $156 \%=$ $\qquad$

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Problem 1004

$\frac{x}{x+1}+\frac{5}{x}=\frac{1}{x^{2}+x}$

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Problem 1005

47. Find $35 \%$ of 260.

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Problem 1006

52. Divide: $3.22 \div 0.5=$

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Problem 1007

Prove that $\frac{\tan x}{1-\tan x}+\frac{\cot x}{1-\cot x}=-1$ If $\cos x=-3 / 4$ and $x$ is in second quadrant find $\frac{3 \sin x-2 \cot x}{\tan ^{2} x}$ Find the sum $3+1+1 / 3+1 / 9+\ldots \ldots$
The number of first-year students enrolled at CBU in 2021 was 1290. If $94 \%$ of the students only proceeded and enrolled in the following academic year, find out how many will be enrolled in the $5^{\text {th }}$ year. Solve the radical equation $\sqrt{x-1}+\sqrt{3 x}=0$ Sketch the graph of $y=2+3 \sin (x)$ for one cycle Find the angle subtended at the centre $O$ , if the sector area is $500 \mathrm{~cm}^{2}$ and radius is 10 cm . Solve the logarithmic equation $\ln x-\ln (x-1)=\ln \left(2 x^{2}\right)$ Solve the equation $3^{x+1}=2^{x-1}$ If $e^{3 x+2}=5$ , find $x$

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Problem 1008

Find the limit. (If the limit is infinite, enter ' $\infty$ ' or ' $-\infty$ ', as appropriate. If the limit does not otherwise exist, enter DNE.) $\lim _{x \rightarrow \infty} \frac{\sqrt{x+6 x^{2}}}{2 x-1}$ $\square$ Need Help? Read II Watch it

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Problem 1009

Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator (or computer) to check your work by graphing the curve and estimating the asymptotes. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) $\begin{array}{l} y=\frac{3 x^{2}+x-1}{x^{2}+x-2} \\ x=\square \\ y=\square \end{array}$ Need Help? Read It

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Problem 1010

2. Write the answer in the form $\frac{P(x)}{D(x)}=Q(x)+\frac{R(x)}{D(x)}$ for $\frac{x^{3}-64}{x-4}$ and hence find $Q(x)$ and $R(x)$ .

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Problem 1011

Factor completely: $11 x^{2}-24 x-x^{3}$

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Problem 1012

2.2 Complete the following: 2.2.1 For exhaustive events: $\mathrm{P}(\mathrm{A}$ or B $)=\ldots$ . 2.2.2 For mutually exclusive events: $\mathrm{P}(\mathrm{A}$ and B $)=\ldots$ .

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Problem 1013

$-5=6 d-7 d+4$

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Problem 1014

10. $11-\frac{1}{2} y=3+6 x$

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Problem 1015

$\frac{m}{4} \rightarrow=-3$

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Problem 1016

$24-(-12)-12+(-5)+18-(-10)$

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Problem 1017

form the operation. $\left(-10 x^{2}+2 x-10\right)-\left(-10 x^{2}+3\right)$
Answer Attempt 1 out of 2

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Problem 1018

7-8. What is the equivalent of $4^{\wedge} 3=64$ ?(in logarithmic form) 9-10. What is the equivalent of $7^{\wedge} 4=2401$ ?(in logarithmic form).

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Problem 1019

Question 7 of 15, Step 1 of 1 6/15 Correct 3
Solve the following linear equation using equivalent equations to isolate the variable. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places. $-12-2=4 u-6 u$ Answer Keypad

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Problem 1020

Save \& Exit Certify Lesson: 2.3b Solving Linear Equations Usin... HAYLEE MARTINSON 7/15 Question 8 of 15, Step 1 of 1 Correct 3
Solve the following linear equation using equivalent equations to isolate the variable. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places. $-5 y=\frac{-2}{7}$ Keypad Answer How to enter your answer (opens in new window) Keyboard Shortcuts

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Problem 1021

$f^{-1}(x)=\sqrt{\frac{x-1}{2}}$ is the inverse of $f(x)=2 x^{2}-1$ . a) True b) False

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Problem 1022

Divide: $1,421 \div 29=$

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Problem 1023

Skill 2: Solving linear equations involving brackets Solve the following equations Show correct working out a. $3(x+1)=18$

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Problem 1024

$x+5=12 \quad 2 x=-48$

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Problem 1025

Solve $6 t^{2}-14 t-12=0$ by factoring. Enter your answers below $t=$ $\square$ or $\square$ Check Answer

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Problem 1026

Save \& Exit certily Lesson: b., the Cartestan coorimate syst... $0 / 16$ Question 1 of 4,5 Step 1 of 2 Correct
Conblef the following equmition: $3 x-4 y=7$ stap 1 of 2: the given ordered pair, $(-1,-3)$ , satisfies the given equation. Answer YES NO

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Problem 1027

Simplify $i^{44}$ 1 $i$ $-i$ $-1$

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Problem 1028

Which sign makes the batement true? $-\sqrt{27} ?-4 . \overline{4}$

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Problem 1029

Exercice 3. Calculer $I=\int_{B} e^{\left(x^{2}+y^{2}+z^{2}\right)^{\frac{3}{2}}} d x d y d y$ oú B est la boule unité de $\mathbb{R}^{3}$ .

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Problem 1030

$5 s+16=s+20$

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Problem 1031

Which sign makes the statement true? $-\frac{\pi}{2} ?-\sqrt{8}$

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Problem 1032

$\frac{3}{8} \div\left(-\frac{7}{4}\right)$

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Problem 1033

Übungsaufgaben
1. Berechnen Sie algebraisch die Nullstellen und kontrollieren Sie Ihre Ergebnisse mit dem Taschenrechner. a) $f(x)=-\frac{1}{2} x^{2}+4 x-5$ b) $f(x)=3 x^{2}+12 x+18$ c) $f(x)=2 x^{2}-4 x$ d) $f(x)=3 x^{2}-12 x+6$ e) $f(x)=\frac{1}{2} x^{2}+3 x+2,5$ f) $f(x)=-x^{2}+8 x-17$ g) $f(x)=\frac{1}{3} x^{2}-2 x+4$ h) $f(x)=-0,5 x^{2}+2 x$

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Problem 1034

(b) $\int\left(x^{2}+1\right) e^{-2 x} d x$

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Problem 1035

$F$ and $H$ are sets of real numbers defined as follows $\begin{array}{l} F=\{z \mid z>3\} \\ H=\{z \mid z \leq 8\} \end{array}$
Write $F \cap H$ and $F \cup H$ using interval notation.

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Problem 1036

corresponding transformations. b) Sketch a graph of $y=\frac{1}{4}[-2(x-1)]^{4}+2$ .

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Problem 1037

(c) $\int \frac{(1-x)}{e^{-x}} d x$

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Problem 1038

Übung 1 Integrationsregeln Berechnen Sie die unbestimmten Integrale unter Angabe der verwendeten Regeln. a) $\int 2 e^{3-2 x} d x$ b) $\int 3 \cdot \sin (3 x) d x$ c) $\int\left(2 e^{2 x}-\frac{4}{x^{2}}\right) d x$ d) $\int \frac{1}{(2 x+1)^{2}} d x$ e) $\int(4 x+5)^{3} d x$ f) $\int e^{a x+b} d x$

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Problem 1039

8. $\frac{(x-5)}{3}+4 x=7$

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Problem 1040

Finding the average rate of change of a function
Find the average rate of change of $f(x)=2 x^{3}-2 x^{2}-3$ from $x=2$ to $x=3$ . Simplify your answer as much as possible.

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Problem 1041

Our equation was $a \frac{d^{2} y}{d x^{2}}+b \frac{d y}{d x}+c y=0$ . If $a=0$ , we get the first order 2 equation of the same family $b \frac{d y}{d x}+c y=0 \text { i.e. } \frac{d y}{d x}+k y=0 \text { where } k=\frac{c}{b}$
Solving this by the method of separating the variables, we have $\frac{d y}{d x}=-k y \quad: \int \frac{d y}{y}=-\int k d x$ which gives $\qquad$ $\qquad$ $\begin{array}{c} \ln y=-k x+c \\ \therefore y=e^{k x+c}=e^{-k x}, e^{c}-\mathrm{A} e^{-k x}\left(\text { since } e^{e}\right. \text { is a constant) } \end{array}$ $\text { i.e. } y=\mathrm{A} e^{-k x}$ 3
If we write the symbol $m$ for $-k$ , the solution is $y=\mathrm{A} e^{m x}$ In the same way, $y=\mathrm{A} \mathrm{e}^{i x}$ will be a solution of the second order equation $a \frac{d^{2} y}{d x^{2}}+b \frac{d y}{d x}+c y=0$ , if it satisfies this equation.
Now, if $\begin{aligned} y & =\mathrm{A} e^{m x} \\ \frac{d y}{d x} & =\mathrm{A} m \mathrm{e}^{m x} \\ \frac{d^{2} y}{d x^{2}} & =\mathrm{A} m^{2} e^{m x} \end{aligned}$ and substituting the exe expressions for the differentual coefficients in the lefthand side of the equation, we get .......

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Problem 1042

$y=-2 x+3$
Step 2 of 2 : Plot the resulting set of ordered pairs using your answers from Step 1.
Answer (are plot one of the ordered pairs on the graph. Then, drag the other dot at the origin to plot the other ordered pair. by dragging or using the arrow keys. Enable Zoom/Pan

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Problem 1043

Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves $y=\sin (x)$ and $y=0$ , with $0 \leq x \leq \pi$ about the line $y=1$ ? A. $\pi \int_{0}^{1}[(1)-(1-\sin (x))]^{2} d x$ B. $\pi \int_{0}^{1}\left[1-\sin ^{2}(x)\right] d x$ C. $\pi \int_{0}^{\pi}\left[1^{2}-(1-\sin (x))^{2}\right] d x$ D. $\pi \int_{0}^{1}\left[1^{2}-(1-\sin (x))^{2}\right] d x$ E. $\pi \int_{0}^{\pi}\left[1-\sin ^{2}(x)\right] d x$ F. $\pi \int_{0}^{\pi}[(1)-(1-\sin (x))]^{2} d x$

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Problem 1044

Find the volume of the solid obtained by rotating the region in the first quadrant bounded by $y=x^{5}, y=1$ , and the $y$ -axis bout the line $y=-2$ . Enter either an exact answer or an approximate value rounded to at least three decimal places. Volume $=$ $\square$

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Problem 1045

2. $x^{3}+3 x^{2}-4 x-12=0$

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Problem 1046

1. $x^{3}-3 x^{2}-13 x+15=0$

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Problem 1047

$[(\sim(p \wedge q)) \Rightarrow r] \equiv[\sim[(p \Rightarrow \sim q) \wedge \sim r]$

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Problem 1048

Evaluate each expression.
1. $26-8 \div 4$ $\qquad$

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Problem 1049

$\frac{3+x}{-7}=0$

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Problem 1050

$x^{4}+2 x^{3}-8 x^{2}-18 x-9=0$

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Problem 1051

$2 x^{3}-3 x^{2}-5 x+6=0$

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Problem 1052

$3 x^{3}-4 x^{2}-17 x+6=0$

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Problem 1053

$P(x)=x^{3}+6 x^{2}+11 x+6 \quad, x_{1}=-3$

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Problem 1054

$\lim _{x \rightarrow c^{+}} 2 \sqrt{x+1}=0$ What is the value of $c$ ?

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Problem 1055

$P(x)=3 x^{4}-16 x^{3}+21 x^{2}+4 x-12 \quad, x_{1}=-2 / 3$

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Problem 1056

$P(x)=2 x^{3}-15 x^{2}+27 x-10 \quad x_{1}=5$

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Problem 1057

me: $\qquad$ plication Date: $\qquad$
1. Determine the inverse of following relation and state the domain and range of $f(x)$ as well as its inverse. Show all work. Is the inverse a function? $f(x)=(x-4)^{2}+6$

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Problem 1058

Solve the following equation $(y-2)(y+1)=-2 y$

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Problem 1059

Find the exact value of the expression. $\sec \left[\sin ^{-1}\left(\frac{2 \sqrt{10}}{7}\right)\right]$
Select the correct choice and fill in any answer boxes in your choice below. A. $\sec \left[\sin ^{-1}\left(\frac{2 \sqrt{10}}{7}\right)\right]=$ $\square$ (Simplify your answer, including any radicals. Use integers or fractions for any number B. There is no solution.

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Problem 1060

Question 1 5 pts
To solve the Bernoulli differential equation $\frac{d y}{d x}+x y=(\ln x) y^{3}$ , you would make the substitution $v=y^{\wedge}$ $\square$ , in which case $\frac{d v}{d x}=\square$ $\square$ $y^{\wedge}$ $\square$ $\frac{d y}{d x}$ (the first box is the coefficient and the second box is the power of $y$ ).

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Problem 1061

$(4 y+5)(5 y-1)=0$

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Problem 1062

[6] 2. Given the equation $\quad f(x)=-3|2(x-1)|+4$ a) State the parent function: $\qquad$ c) Graph the function, showing the original an graph. Label all point final clearly b) Show transformation of 5 points of your choice:

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Problem 1063

$+\infty)^{+\infty}$ therefore, the solution set is PRACTCE: Find the solution set of the following inequalitio (1) $x^{2}+9 x+14>0$ (2) $x^{2}+6 x \geq-5$

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Problem 1064

Thinking/Inquiry
1. Simplify each of the following. State all restrictions on variables. [6] a) $\frac{x-8}{x+7} \times \frac{x+15}{x^{2}+12 x-45}$ b) $\frac{x^{2}+12 x+20}{x+5} \div \frac{x^{2}+7 x-30}{x+10}$ d) $\frac{-10 x}{x^{2}+18 x+32}+\frac{12 x}{x^{2}+6 x-160}$ c) $\frac{3}{x^{2}+7 x+10}-\frac{5 x}{x^{2}-4}$ 4

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Problem 1065

Factor as the product of two binomials. $9-6 x+x^{2}=$

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Problem 1066

fact $\frac{(3 x+2)^{1 / 2}-(x+3)(3 x+2)^{-1 / 2}}{3 x+2}$ $\square$ Submit Answer

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Problem 1067

$\left[\begin{array}{cc}3 & -2 \\ 0 & 1\end{array}\right]\left[\begin{array}{cc}1 & -1 \\ 1 & 1\end{array}\right]$

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Problem 1068

$2|x-9|+10<6$

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Problem 1069

Solve for $p$ . $3.5-p=18$ $-14.5$ $-21.5$ 21.5 14.5

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Problem 1070

[3] 3. Given $f(x)=3 k-2 x$ , find the value of $k$ if $f^{-1}(5)=-2$ .

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Problem 1071

Factor out the greatest common factor.
1. $12 x^{7}+15 x^{5}-6 x^{2}$ $3 x^{2}\left(4 x^{5}+3 x^{3}-2\right)$
2. $2 x^{6}-4 x^{2}$ $2 x^{2}\left(x^{4}-2\right)$
3. $32 x^{6}-24 x^{3}+60 x^{2}$

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Problem 1072

Multiply. Write in scientific notation, and then write the result in standard forn 1.4.1) $\left(-3.4 \times 10^{-7}\right) \times\left(8.4 \times 10^{5}\right)=$ 1.4.2) $\left(70 \times 10^{-4}\right) \times\left(60 \times 10^{6}\right)=$
Divide. Write in scientific notation, and then write the result in standard form. 1.4.3) $\frac{4.10 \times 10^{-2}}{\left(-2.05 \times 10^{4}\right)}=$ 1.4.4) $\frac{1.14 \times 10^{7}}{3.8 \times 10^{-3}}=$

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Problem 1073

27 a. Soient $c=29444684$ , $d=13168063, e=1229015134$ et $h=549632$ 277. A-t-on $\frac{c}{d}=\frac{e}{h}$ ? b. A-t-on $\sqrt{2}=\frac{22619537}{15994428}$ ?

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Problem 1074

$\qquad$
4. Find the constant $a$ that makes $f(x)$ a continuous functions. A. 0 B. 3 $f(x)=\left\{\begin{array}{cc} x^{2}-2 x+3, & x \leq 1 \\ a x^{2}+4 x-2, & x>1 \end{array}\right.$ C. 2 D. -2

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Problem 1075

2. Evaluate (i) $\sum_{r=1}^{\infty}(1 / 2)^{2}$ (ii) $\sum_{k=1}^{50}(3 k+2)$

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Problem 1076

Use the formula for ${ }_{n} C_{T}$ to evaluate the given expression. ${ }_{10} C_{7}$ ${ }_{10} C_{7}=$ $\square$ (Type an integer or a simplified fraction.)

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Problem 1077

Use the formula for ${ }_{n} C_{T}$ to evaluate the given expression. ${ }_{7} \mathrm{C}_{1}$ ${ }_{7} C_{1}=$ $\square$ (Type an integer or a simplified fraction.)

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Problem 1078

Use the square root property to solve the equation. $x^{2}-5=0$

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Problem 1079

1) $\frac{5}{2} \times\left(\frac{2}{3}-\frac{1}{5}\right)-\left(\frac{2}{5} \div \frac{4}{3}\right)$

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Problem 1080

49. $\sum_{n=1}^{\infty} \frac{\sqrt{n}}{4 n+9}$

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Problem 1081

A regression was run to determine whether there is a relationship between the diameter ( $x$ , in inches) of an aspen tree and the tree's age ( $y$ , in years). The results of the regression are given below. Use this to predict the age of an aspen tree with diameter 10 inches. Round your answer to three decimal places. $\begin{array}{l} y=a x+b \\ a=1.075 \\ b=-1.218 \\ r=0.964 \end{array}$

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Problem 1082

1) Find the slope of the line that passes through the following two points: $(-1,3) \quad 3(5,5)$

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Problem 1083

Numeric For the following exercises, evaluate the base $b$ logarithmic expression without using a calculator.
42. $\log _{3}\left(\frac{1}{27}\right)$
43. $\log _{6}(\sqrt{6})$
44. $\log _{2}\left(\frac{1}{8}\right)+4$
45. $6 \log _{8}(4)$

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Problem 1084

(2) 2. 2

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Problem 1085

Simplify the following expression. Assume that each variable is positive. $\frac{3-6 \sqrt{192 y^{3}}}{6}$

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Problem 1086

Find the unit vector that has the same direction as the vector $\mathbf{v}$ . $\mathbf{v}=-24 \mathbf{i}+7 \mathbf{j}$
The unit vector that has the same direction as the vector $\mathbf{v}$ is $\left(\frac{-24}{25}, \frac{7}{25}\right)$ . (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expressio

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Problem 1087

1. $x(x+3)(x-4)$
2. $\left(y^{2}+3 x-4\right)(2 y-3)$
3. $\left(3 x^{2}-4 x+2\right)(4 x-5)$
4. $\left(\frac{1}{2} x^{2}+4 x+8\right)(2 x-6)$
5. $\left(2 x^{2}+3 x+1\right)(5 x-4)$

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Problem 1088

Find the derivative of $f(x)=7 x^{2}+2 x$

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Problem 1089

$(2 \sqrt{3})^{-5}$

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Problem 1090

Solve the system using elimination. $\begin{aligned} 4 x+14 y & =32 \\ x-14 y & =-27 \end{aligned}$

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Problem 1091

ind the product. Simplify your answer. $7\left(-2 w^{2}-2 w-3\right)$

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Problem 1092

0.6 Multiply a polynomar
Find the product. simplify your answer. $-4\left(m^{2}-4 m+3\right)$

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Problem 1093

1. Identify the slope and $y$ -intercept in the linear equation $y=3 x-13$ $Y=M x+b \quad M=3 \quad b=-13$

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Problem 1094

Find the product. Simplify your answ $2 r\left(r^{2}-2 r-2\right)$

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Problem 1095

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $\log _{7}(13-5)$

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Problem 1096

1) $b^{2}+8 \mathrm{~b}+12$ $3 \quad x^{2}+x-6$ $4 \quad a^{2}-6 a+8$ $5 \quad x^{4}-2 x^{2}-3$ $6 \quad y^{2}-5 y-6$ $7 \quad b^{2}-4 b-21$ $8 \quad x^{2}+x-2$ $9 \quad b^{2}+6 b-16$
11 $a^{2}+9 a+20$ $11 \quad b^{2}+7 b+12$ $12 \quad a^{4}-9 a^{2}+18$ $13 \quad b^{2}+2 b-24$ $14 a^{2}+6 a-16$ $(b+6)(b+2)$ $2 y^{2}-8 y-20$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $15 \quad a^{2}+7 a-30$ $16 \quad x^{2}-x-30$ $17 \quad b^{2}+10 b+9$ $18 a^{2}-9 a+14$ $19 \quad b^{2}-2 b+-15$ $20 \quad a^{2}-8 a+16$ $21 \quad y^{2}+2 y-35$ $22 \quad x^{2}-4 x-5$ $23 \quad y^{2}+12 y+36$ $24 \quad a^{2}-14 a+24$ $25 x^{2}-x-12$ $26 \quad b^{2}+b-2$ $27 \quad y^{2}-13 y+42$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$
Name: Date $\qquad$ Clant $\qquad$
Factor each expression. Write the factors on the lines, then hiplight the trexes in the grid containing each factor. When you ars finished, writa the latters that ars formet by the highlighted boxes in order te ereatz a wort.

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Problem 1097

Line 1: $y=\frac{x}{2} x$
Line 2: $-3 x+2 y=0$
This system of equations is: consistent dependent consistent independent inconsistent This means the system has: a unique solution Solution: $\square$ $\square$ infinitely many solutions no solution
Line 1: $y=x$
Line 2: $y=-\frac{1}{2} x-3$
This system of equations is: consistent dependent consistent independent inconsistent This means the system has: a unique solution Solution: $\square$ $\square$ infinitely many solutions no solution
Line 1: $y=1$
Line 2: $y=-4$
This system of equations is: consistent dependent consistent independent inconsistent This means the system has: a unique solution Solution: $\square$ $\square$ infinitely many solutions no solution

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Problem 1098

Find the product Simplify your answer. $2 j^{j}(-4 j-4 j+3)$

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Problem 1099

onsider $\mathrm{C}_{2}, \mathrm{C}_{2}^{+}$ and $\mathrm{C}_{2}^{-}$ . Which has the highest bond energy according to MO theory? $\mathrm{C}_{2}$ $\mathrm{C}_{2}$ $\mathrm{C}_{2}^{+}$

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Problem 1100

Find the equation of the axis of symmetry of the following parabola algebraically. $y=2 x^{2}+20 x+68$

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1 ...8 9 10 11 12 13 14 ...268

Math Statement

Problem 1001

36. Solve: (−3)(−8)+(24)÷(−2)=(-3)(-8)+(24) \div(-2)=(−3)(−8)+(24)÷(−2)=

Problem 1002

658−214=6 \frac{5}{8}-2 \frac{1}{4}=685​−241​=

Problem 1003

46. Write 156%156 \%156% as a decimal. 156%=156 \%=156%= \qquad

Problem 1004

xx+1+5x=1x2+x\frac{x}{x+1}+\frac{5}{x}=\frac{1}{x^{2}+x}x+1x​+x5​=x2+x1​

Problem 1005

47. Find 35%35 \%35% of 260.

Problem 1006

52. Divide: 3.22÷0.5=3.22 \div 0.5=3.22÷0.5=

Problem 1007

Problem 1008

Problem 1009

Problem 1010

2. Write the answer in the form P(x)D(x)=Q(x)+R(x)D(x)\frac{P(x)}{D(x)}=Q(x)+\frac{R(x)}{D(x)}D(x)P(x)​=Q(x)+D(x)R(x)​ for x3−64x−4\frac{x^{3}-64}{x-4}x−4x3−64​ and hence find Q(x)Q(x)Q(x) and R(x)R(x)R(x).

Problem 1011

Factor completely: 11x2−24x−x311 x^{2}-24 x-x^{3}11x2−24x−x3

Problem 1012

2.2 Complete the following: 2.2.1 For exhaustive events: P(A\mathrm{P}(\mathrm{A}P(A or B)=…)=\ldots)=…. 2.2.2 For mutually exclusive events: P(A\mathrm{P}(\mathrm{A}P(A and B)=…)=\ldots)=….

Problem 1013

−5=6d−7d+4-5=6 d-7 d+4−5=6d−7d+4

Problem 1014

10. 11−12y=3+6x11-\frac{1}{2} y=3+6 x11−21​y=3+6x

Problem 1015

m4→=−3\frac{m}{4} \rightarrow=-34m​→=−3

Problem 1016

24−(−12)−12+(−5)+18−(−10)24-(-12)-12+(-5)+18-(-10)24−(−12)−12+(−5)+18−(−10)

Problem 1017

form the operation. (−10x2+2x−10)−(−10x2+3)\left(-10 x^{2}+2 x-10\right)-\left(-10 x^{2}+3\right)(−10x2+2x−10)−(−10x2+3)Answer Attempt 1 out of 2

Problem 1018

7-8. What is the equivalent of 4∧3=644^{\wedge} 3=644∧3=64 ?(in logarithmic form) 9-10. What is the equivalent of 7∧4=24017^{\wedge} 4=24017∧4=2401 ?(in logarithmic form).

Problem 1019

Problem 1020

Problem 1021

f−1(x)=x−12f^{-1}(x)=\sqrt{\frac{x-1}{2}}f−1(x)=2x−1​​ is the inverse of f(x)=2x2−1f(x)=2 x^{2}-1f(x)=2x2−1. a) True b) False

Problem 1022

Divide: 1,421÷29=1,421 \div 29=1,421÷29=

Problem 1023

Skill 2: Solving linear equations involving brackets Solve the following equations Show correct working out a. 3(x+1)=183(x+1)=183(x+1)=18

Problem 1024

x+5=122x=−48x+5=12 \quad 2 x=-48x+5=122x=−48

Problem 1025

Solve 6t2−14t−12=06 t^{2}-14 t-12=06t2−14t−12=0 by factoring. Enter your answers below t=t=t= □\square□ or □\square□ Check Answer

Problem 1026

Save \& Exit certily Lesson: b., the Cartestan coorimate syst... 0/160 / 160/16 Question 1 of 4,5 Step 1 of 2 CorrectConblef the following equmition: 3x−4y=73 x-4 y=73x−4y=7 stap 1 of 2: the given ordered pair, (−1,−3)(-1,-3)(−1,−3), satisfies the given equation. Answer YES NO

Problem 1027

Simplify i44i^{44}i44 1 iii −i-i−i −1-1−1

Problem 1028

Which sign makes the batement true? −27?−4.4‾-\sqrt{27} ?-4 . \overline{4}−27​?−4.4

Problem 1029

Exercice 3. Calculer I=∫Be(x2+y2+z2)32dxdydyI=\int_{B} e^{\left(x^{2}+y^{2}+z^{2}\right)^{\frac{3}{2}}} d x d y d yI=∫B​e(x2+y2+z2)23​dxdydy oú B est la boule unité de R3\mathbb{R}^{3}R3.

Problem 1030

5s+16=s+205 s+16=s+205s+16=s+20

Problem 1031

Which sign makes the statement true? −π2?−8-\frac{\pi}{2} ?-\sqrt{8}−2π​?−8​

Problem 1032

38÷(−74)\frac{3}{8} \div\left(-\frac{7}{4}\right)83​÷(−47​)

Problem 1033

Problem 1034

(b) ∫(x2+1)e−2xdx\int\left(x^{2}+1\right) e^{-2 x} d x∫(x2+1)e−2xdx

Problem 1035

FFF and HHH are sets of real numbers defined as follows F={z∣z>3}H={z∣z≤8}\begin{array}{l} F=\{z \mid z>3\} \\ H=\{z \mid z \leq 8\} \end{array}F={z∣z>3}H={z∣z≤8}​Write F∩HF \cap HF∩H and F∪HF \cup HF∪H using interval notation.

Problem 1036

corresponding transformations. b) Sketch a graph of y=14[−2(x−1)]4+2y=\frac{1}{4}[-2(x-1)]^{4}+2y=41​[−2(x−1)]4+2.

Problem 1037

(c) ∫(1−x)e−xdx\int \frac{(1-x)}{e^{-x}} d x∫e−x(1−x)​dx

Problem 1038

Problem 1039

8. (x−5)3+4x=7\frac{(x-5)}{3}+4 x=73(x−5)​+4x=7

Problem 1040

Finding the average rate of change of a functionFind the average rate of change of f(x)=2x3−2x2−3f(x)=2 x^{3}-2 x^{2}-3f(x)=2x3−2x2−3 from x=2x=2x=2 to x=3x=3x=3. Simplify your answer as much as possible.

Problem 1041

Problem 1042

y=−2x+3y=-2 x+3y=−2x+3Step 2 of 2 : Plot the resulting set of ordered pairs using your answers from Step 1.Answer (are plot one of the ordered pairs on the graph. Then, drag the other dot at the origin to plot the other ordered pair. by dragging or using the arrow keys. Enable Zoom/Pan

Problem 1043

Problem 1044

Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y=x5,y=1y=x^{5}, y=1y=x5,y=1, and the yyy-axis bout the line y=−2y=-2y=−2. Enter either an exact answer or an approximate value rounded to at least three decimal places. Volume === □\square□

36. Solve: $(-3)(-8)+(24) \div(-2)=$

$6 \frac{5}{8}-2 \frac{1}{4}=$

46. Write $156 \%$ as a decimal. $156 \%=$ $\qquad$

$\frac{x}{x+1}+\frac{5}{x}=\frac{1}{x^{2}+x}$

47. Find $35 \%$ of 260.

52. Divide: $3.22 \div 0.5=$

2. Write the answer in the form $\frac{P(x)}{D(x)}=Q(x)+\frac{R(x)}{D(x)}$ for $\frac{x^{3}-64}{x-4}$ and hence find $Q(x)$ and $R(x)$ .

Factor completely: $11 x^{2}-24 x-x^{3}$

2.2 Complete the following: 2.2.1 For exhaustive events: $\mathrm{P}(\mathrm{A}$ or B $)=\ldots$ . 2.2.2 For mutually exclusive events: $\mathrm{P}(\mathrm{A}$ and B $)=\ldots$ .

$-5=6 d-7 d+4$

10. $11-\frac{1}{2} y=3+6 x$

$\frac{m}{4} \rightarrow=-3$

$24-(-12)-12+(-5)+18-(-10)$

form the operation. $\left(-10 x^{2}+2 x-10\right)-\left(-10 x^{2}+3\right)$
Answer Attempt 1 out of 2

7-8. What is the equivalent of $4^{\wedge} 3=64$ ?(in logarithmic form) 9-10. What is the equivalent of $7^{\wedge} 4=2401$ ?(in logarithmic form).

$f^{-1}(x)=\sqrt{\frac{x-1}{2}}$ is the inverse of $f(x)=2 x^{2}-1$ . a) True b) False

Divide: $1,421 \div 29=$

Skill 2: Solving linear equations involving brackets Solve the following equations Show correct working out a. $3(x+1)=18$

$x+5=12 \quad 2 x=-48$

Solve $6 t^{2}-14 t-12=0$ by factoring. Enter your answers below $t=$ $\square$ or $\square$ Check Answer

Save \& Exit certily Lesson: b., the Cartestan coorimate syst... $0 / 16$ Question 1 of 4,5 Step 1 of 2 Correct
Conblef the following equmition: $3 x-4 y=7$ stap 1 of 2: the given ordered pair, $(-1,-3)$ , satisfies the given equation. Answer YES NO

Simplify $i^{44}$ 1 $i$ $-i$ $-1$

Which sign makes the batement true? $-\sqrt{27} ?-4 . \overline{4}$

Exercice 3. Calculer $I=\int_{B} e^{\left(x^{2}+y^{2}+z^{2}\right)^{\frac{3}{2}}} d x d y d y$ oú B est la boule unité de $\mathbb{R}^{3}$ .

$5 s+16=s+20$

Which sign makes the statement true? $-\frac{\pi}{2} ?-\sqrt{8}$

$\frac{3}{8} \div\left(-\frac{7}{4}\right)$

(b) $\int\left(x^{2}+1\right) e^{-2 x} d x$

$F$ and $H$ are sets of real numbers defined as follows $\begin{array}{l} F=\{z \mid z>3\} \\ H=\{z \mid z \leq 8\} \end{array}$
Write $F \cap H$ and $F \cup H$ using interval notation.

corresponding transformations. b) Sketch a graph of $y=\frac{1}{4}[-2(x-1)]^{4}+2$ .

(c) $\int \frac{(1-x)}{e^{-x}} d x$

8. $\frac{(x-5)}{3}+4 x=7$

Finding the average rate of change of a function
Find the average rate of change of $f(x)=2 x^{3}-2 x^{2}-3$ from $x=2$ to $x=3$ . Simplify your answer as much as possible.

$y=-2 x+3$
Step 2 of 2 : Plot the resulting set of ordered pairs using your answers from Step 1.
Answer (are plot one of the ordered pairs on the graph. Then, drag the other dot at the origin to plot the other ordered pair. by dragging or using the arrow keys. Enable Zoom/Pan

Find the volume of the solid obtained by rotating the region in the first quadrant bounded by $y=x^{5}, y=1$ , and the $y$ -axis bout the line $y=-2$ . Enter either an exact answer or an approximate value rounded to at least three decimal places. Volume $=$ $\square$

2. $x^{3}+3 x^{2}-4 x-12=0$

1. $x^{3}-3 x^{2}-13 x+15=0$

$[(\sim(p \wedge q)) \Rightarrow r] \equiv[\sim[(p \Rightarrow \sim q) \wedge \sim r]$

Evaluate each expression.
1. $26-8 \div 4$ $\qquad$

$\frac{3+x}{-7}=0$

$x^{4}+2 x^{3}-8 x^{2}-18 x-9=0$

$2 x^{3}-3 x^{2}-5 x+6=0$

$3 x^{3}-4 x^{2}-17 x+6=0$

$P(x)=x^{3}+6 x^{2}+11 x+6 \quad, x_{1}=-3$

$\lim _{x \rightarrow c^{+}} 2 \sqrt{x+1}=0$ What is the value of $c$ ?

$P(x)=3 x^{4}-16 x^{3}+21 x^{2}+4 x-12 \quad, x_{1}=-2 / 3$

$P(x)=2 x^{3}-15 x^{2}+27 x-10 \quad x_{1}=5$

me: $\qquad$ plication Date: $\qquad$
1. Determine the inverse of following relation and state the domain and range of $f(x)$ as well as its inverse. Show all work. Is the inverse a function? $f(x)=(x-4)^{2}+6$

Solve the following equation $(y-2)(y+1)=-2 y$

$(4 y+5)(5 y-1)=0$

[6] 2. Given the equation $\quad f(x)=-3|2(x-1)|+4$ a) State the parent function: $\qquad$ c) Graph the function, showing the original an graph. Label all point final clearly b) Show transformation of 5 points of your choice:

$+\infty)^{+\infty}$ therefore, the solution set is PRACTCE: Find the solution set of the following inequalitio (1) $x^{2}+9 x+14>0$ (2) $x^{2}+6 x \geq-5$

Factor as the product of two binomials. $9-6 x+x^{2}=$

fact $\frac{(3 x+2)^{1 / 2}-(x+3)(3 x+2)^{-1 / 2}}{3 x+2}$ $\square$ Submit Answer

$\left[\begin{array}{cc}3 & -2 \\ 0 & 1\end{array}\right]\left[\begin{array}{cc}1 & -1 \\ 1 & 1\end{array}\right]$

$2|x-9|+10<6$

Solve for $p$ . $3.5-p=18$ $-14.5$ $-21.5$ 21.5 14.5

[3] 3. Given $f(x)=3 k-2 x$ , find the value of $k$ if $f^{-1}(5)=-2$ .

27 a. Soient $c=29444684$ , $d=13168063, e=1229015134$ et $h=549632$ 277. A-t-on $\frac{c}{d}=\frac{e}{h}$ ? b. A-t-on $\sqrt{2}=\frac{22619537}{15994428}$ ?

$\qquad$
4. Find the constant $a$ that makes $f(x)$ a continuous functions. A. 0 B. 3 $f(x)=\left\{\begin{array}{cc} x^{2}-2 x+3, & x \leq 1 \\ a x^{2}+4 x-2, & x>1 \end{array}\right.$ C. 2 D. -2