Browse Math problems in the Studdy Learning Bank!

Problem 2801

Find the $y$ -intercept of the function $f(x) = 3^{x} - 7$ .

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Problem 2802

Simplify the expression $\frac{4 x}{(x-9)(x+3)}-\frac{(x-6)(x+3)}{(x-9)(x+3)}$ by factoring the numerators. What is the next step?

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Problem 2803

Find $\frac{2}{3}$ of 18 and represent the result using a visual set diagram.

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Problem 2804

Find the difference between $\frac{12}{5x}$ and $\frac{7}{6x}$ .

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Problem 2805

Find the limit of the sequence $a_n = n/\sqrt{n^3 + 8}$ or state that it diverges.

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Problem 2806

Identify local/absolute extrema and inflection points of $y=(x-3)^{3}+4$ . Find local max/min points. A. Local max point(s): $(3, 4)$ B. Local min point(s): $(3, 4)$

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Problem 2807

Express the polynomial $g(x) = x^3 + 8x^2 + 19x + 14$ with -2 as a zero, as a product of linear factors.

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Problem 2808

Rewrite expressions in form $2^{kx}$ or $3^{kx}$ . (a) $81^x=\square$ , (b) $(\sqrt[4]{9})^x=\square$ , (c) $(1/8)^x=\square$ .

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Problem 2809

Find the expression to solve for $x$ in the equation $8^{x}=11$ .

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Problem 2810

Solve for the value of $x$ in the proportion $4:8 = x:72$ .

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Problem 2811

Solve the linear equation $3x + 1 = 2x + 9$ for the unknown variable $x$ .

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Problem 2812

Find the exponent of 6 in the expression $6^{3} \times 6^{2} \div 6^{5}$ .

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Problem 2813

Find $\frac{1}{4}$ of 24 using a tape diagram.

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Problem 2814

Determine weekly sales decline after ad campaign using $y=18,000(8^{-0.05x})$ , where $x$ is weeks since end. Find sales at end and 2 weeks later, and whether sales reach $\$ 0$ .

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Problem 2815

Compute the future value of $\$ 970.00$ invested over 4 months at $9.75\%$ p.a. using the formula $S=P(1+r t)$ . The future value is $\$ \square$ .

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Problem 2816

Use long division to find the roots of $x^{3} - 6x^{2} + 11x - 6 = 0$ .

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Problem 2817

Interpret the coefficient of determination $r^2 = 0.8744932359$ and explain its meaning.

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Problem 2818

Differentiate the following expressions, leaving answers in simplified form with positive exponents: a) $g(x)=(x^2+4)^3$ (2 marks) b) $y=x^4(\sqrt{1+4x^2})$ (4 marks)

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Problem 2819

Find the parent function of $g(x) = 2(4)^{x} - 1$ .

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Problem 2820

Find the number of minutes, $m$ , Amy used her phone in a month given the monthly fee of $\$ 21$ , additional $\$ 0.07$ per minute, and a minimum monthly cost of $\$ 103.95$ .

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Problem 2821

Find the sum of $100,000,000$ , $30,000,000$ , $4,000,000$ , $900,000$ , $70,000$ , $1,000$ , $700$ , and $6$ in standard form.

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Problem 2822

Evaluate the integral $\int \frac{x^{3}+x^{15}}{\sqrt{4 x^{4}+x^{16}-1}} d x$ using a substitution, and find the constant of integration.

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Problem 2823

Solve the equation $13d + 8 = -1$ for $d$ .

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Problem 2824

Given dosage strength is $0.2 \mathrm{mg}$ in $1.5 \mathrm{mL}$ . Determine the volume needed to prepare $0.19 \mathrm{mg}$ dosage.
The available dosage strength is $0.2 \mathrm{mg}$ in $\mathrm{mL}$ . The goal is to determine how many $\mathrm{mL}$ will be needed to prepare a dosage of $0.19 \mathrm{mg}$ . The units are conversion ratio $\frac{\mathrm{mg}}{\mathrm{mL}}$ .
$\mathrm{mL}=\frac{\mathrm{mg}}{\frac{\mathrm{mg}}{\mathrm{mL}}} \times 0.19 \mathrm{mg}$

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Problem 2825

Multiply $(540 \times 219)$ , then divide by $160$ . Round the result to 4 decimal places.

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Problem 2826

Solve the equation $\sqrt{1-2 \cdot \sqrt{2 x}+5}=1$ for $x$ .

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Problem 2827

Find solutions for $x=2$ and $x=-2$ , and simplify $(3)(x-4)$ .

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Problem 2828

Solve for $p$ in the equation $14=6-p$ .

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Problem 2829

Find the values of constants $a$ and $b$ such that $(x-a)(x-3) = (x-b)(x-6)+12$ .

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Problem 2830

Find the value of the expression $5 x^3 - 2 x + x^5 - 6$ when $x = 3$ .

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Problem 2831

Find $\Delta T$ in the equation $q = m \times \Delta T \times C$ , where $q$ , $m$ , and $C$ are known.

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Problem 2832

Multiply the given rational numbers $\left(3 \frac{1}{10}\right)(-6)\left(\frac{5}{12}\right)$ to find the product.

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Problem 2833

Find the midpoint $M$ of the line segment with endpoints $Q(7,8)$ and $R(9,6)$ . Coordinates of $M$ are $M=(\frac{7+9}{2}, \frac{8+6}{2})$ .

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Problem 2834

Find domain and range of $g(x) = 2x + 2$ . Evaluate $g(-3)$ and $g(1)$ using formula and graph.

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Problem 2835

Solve the inequality $x^{2} \geq 25$ to find the values of $x$ that satisfy the inequality.

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Problem 2836

Vertically multiply $(3x-2y)(9x^2+6xy+4y^2)$ .

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Problem 2837

Find polynomials that are differences of two squares and write them in factored form. Examples: $A^2 - 100$ , $4C^2 - 49$ , $H^2 - 9E^2$ .

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Problem 2838

Solve the equation $4(1-x)-(3 x+2)=6+8(x-8)$ and express the answer as an integer or simplified fraction.

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Problem 2839

Simplify $2 x^{2}-4 - (2 x^{2}+4)$ by combining similar terms.

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Problem 2840

Find the value of $y$ that satisfies the equation $y + 4.6 = 1.3$ , express the solution as an integer.

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Problem 2841

Find the difference between 27 and 12.

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Problem 2842

Find the sum of 5 and 10.

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Problem 2843

Find the ratio of colored pencils to markers for art supply packages A and B, given the ratios 5:2 and 4:3 respectively.

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Problem 2844

Find the value of $-18.1-5$ . (1 point)

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Problem 2845

Solve for $b$ when $\frac{a b+5}{4}=c \cdot 4$ .

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Problem 2846

Sketch a model to represent $-6+3$ .

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Problem 2847

Find the equation of a parabola given its graph. $y = x^{2} + 6x + 8$ . Select the correct answer.

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Problem 2848

Find the minimum number of prizes that can be distributed from $\$800$ , where the prizes are powers of 2.

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Problem 2849

Find the product of 3 and the sum of $3x$ and 5.

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Problem 2850

Simplify $8 - (-17)$ .

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Problem 2851

Find the time(s) when a ball thrown from 5 ft with 23 ft/s upward velocity reaches 13 ft. $h=5+23t-16t^2$ , round to nearest hundredth.

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Problem 2852

Solve the equation $x(x+17)=0$ . Write the answers as a list of integers or reduced fractions, separated by commas.

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Problem 2853

Given points X and Y, the bearing of Y from X is $102$ degrees. Find the bearing of Y from X.

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Problem 2854

Match points A-D to values 2.38, -41/21, 43/9, -4.006 using number sense.

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Problem 2855

Solve for x in the linear equation $2x + kx = m$ .

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Problem 2856

Tìm giá trị nhỏ nhất của hàm số $y=x+\sqrt{9-x^{2}}$ .

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Problem 2857

What percent is 3 of 40?

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Problem 2858

Simplify $\frac{15}{62}$ . Rearrange $x=3g+2$ to make $g$ the subject.

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Problem 2859

Find the unknown number $n$ when 7 $n$ - 5 = 23. Write the linear equation and solve for $n$ .

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Problem 2860

Solve the linear equation $-18=3n-3+2n$ for the variable $n$ .

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Problem 2861

Solve for $x$ in the equation $\frac{xd}{8}=c$ , where $x$ , $d$ , and $c$ are real numbers.

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Problem 2862

Evaluate the indefinite integral $\int \frac{dx}{\sqrt{9x^2 - 4}}$ .

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Problem 2863

Find the base $b$ of a rectangle with area $A=77$ and height $h=4$ using the formula $A=bh$ .

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Problem 2864

Find the missing number in the equation $x^2 + 12x + 44 = (x + 6)^2 + c$ .

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Problem 2865

Find the number of players the lacrosse team can bring to the tournament given a budget of $\$1581.75$ for bus rental ( $\$968.50$ ) and $\$55.75$ per player for meals.

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Problem 2866

Which statement about a negatively skewed distribution's density curve is true? $A. \text{Right tail is longer than left}$ $B. \text{Left and right tails are equal}$ $C. \text{Left and right sides are mirror images}$ $D. \text{Left tail is longer than right}$

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Problem 2867

Multiply the complex numbers (5-2i) and (5+2i) and express the result in the form a + bi.

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Problem 2868

Find the correct scale ratio for a 2-inch model of an 8-foot shark: $1 \text{ in } : 4 \text{ ft}$ , $1 \text{ in } : 6 \text{ ft}$ , $1 \text{ in } : 7 \text{ ft}$ , or $1 \text{ in } : 5 \text{ ft}$ .

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Problem 2869

Solve the linear equation $102-6x = 150-18x$ for the unknown variable $x$ .

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Problem 2870

Find the equation that represents "When 9 is multiplied by a number, the result is 90". A) $x-9=90$ B) $x \div 9=90$ C) $9+x=90$ D) $9x=90$

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Problem 2871

Solve the equation $5x + 6 = 8$ algebraically. Express the solution as a reduced fraction.

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Problem 2872

Löse die Gleichung $30x + 5(14x - 2) = 14(3x + 2) - 8x$ .

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Problem 2873

Solve the linear equations and functions. Mixed exercises. a) $12x + 25 = 61$ b) $-9y + 18 = 3.5y + 13$ c) $4 - 13x + 8 = 12x - 24 - x$ d) $15 - (6a + 14) = a - (9 - 8a) + 4$ e) $3a + 5 = 7 - 9a$

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Problem 2874

Solve the inequality $x^2 + 5x - 1 \geq 2x + 3$ for real values of $x$ .

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Problem 2875

Identify the expression that is not an equation from the given options: $9+3=1$ , $4+5 x$ , $4 n+5=\frac{n}{3}$ , $3+4=7$ .

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Problem 2876

Find $x$ where $-3x + 1 = 16$ .

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Problem 2877

Evaluate $\log 0.17$ and round the result to five decimal places. Choose the correct answer.

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Problem 2878

Find the increase in y when x increases by 5 for linear equations $y=x, y=3x, y=2x+1$ .

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Problem 2879

Rental car company charges $\$22$ per day and $\$0.08$ per mile. Samuel plans to drive 450 miles and has $\$80$ to spend. Determine the maximum number of days $x$ he can afford to rent the car.

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Problem 2880

Find the height of a candle after 27 hours given its height is a linear function of time, with heights of 12 cm after 15 hours and 1.2 cm after 33 hours.

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Problem 2881

Solve $20=2x^2$ for $x$ . The solutions are $x_1 = \sqrt{10}$ and $x_2 = -\sqrt{10}$ .

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Problem 2882

Is the set $\{(1,3),(5,4),(7,7)\}$ a function? Choose yes or no.

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Problem 2883

Simplify the expression $15 x \div 5 x y$ .

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Problem 2884

Solve the absolute value inequality $|3x + 8| \geq 6$ and express the solution as an interval using whole numbers, proper or improper fractions.

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Problem 2885

Determine if the given expression $x^{2} + 8x + 1$ is an algebraic expression or equation.

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Problem 2886

Find values in the interval $(-\infty, 3)$ from the given set: $x=0, -1, -3, 3, 5, -\frac{4}{3}$ .

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Problem 2887

Solve the inequality $22<-3c+4<14$ for $c$ .

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Problem 2888

Find the value of $u$ in the equation $5(7+2u)=78$ , give the answer as a decimal.

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Problem 2889

Pedro and Ricky had $2680$ total base hits last season. Pedro had $284$ more hits than Ricky. Find the number of hits each player had.

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Problem 2890

Finde die Nullstelle der linearen Funktion $f(x)=2x-6$ .

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Problem 2891

Find the magnitude of the complex number $-7 + 5i$ . Evaluate the square root of the unknown value.

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Problem 2892

Evaluate $xy-y$ when $x=2$ and $y=5$ . Which expression gives the correct result?

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Problem 2893

Solve the inequality $\underline{x} + 2 < 9$ for $\underline{x}$ .

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Problem 2894

Determine the parabola function in vertex form given the vertex $S$ and a point $P$ that the parabola passes through. a) $S(2 \mid 2)$ , $P(1 \mid 1)$ b) $S(-3 \mid 5.5)$ , $P(0 \mid 1)$ c) $S(3 \mid -8)$ , $P(2 \mid -6)$

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Problem 2895

Determine if $y$ varies directly with $x$ for the given data tables. If so, write the direct variation equation.

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Problem 2896

Calculate $z^2 - 7$ when $z = 8$

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Problem 2897

Find the equation of the normal line to the function $f(x)$ at $x=1$ given $f(1)=2$ , $f'(1)=4$ , and $f'(2)=1$ .

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Problem 2898

Order the absolute values of the given numbers from least to greatest. $6, |-7|, |0|, |-5|$

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Problem 2899

Find values of $a$ and $b$ in the equation $a x + b y = 2 x - 3 y + 6$ if the graph is a horizontal line passing through $(0,3)$ .

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Problem 2900

Solve for $w$ in the equation $\frac{4}{9} w = -8$ .

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Math

Problem 2801

Find the yyy-intercept of the function f(x)=3x−7f(x) = 3^{x} - 7f(x)=3x−7.

Problem 2802

Simplify the expression 4x(x−9)(x+3)−(x−6)(x+3)(x−9)(x+3)\frac{4 x}{(x-9)(x+3)}-\frac{(x-6)(x+3)}{(x-9)(x+3)}(x−9)(x+3)4x​−(x−9)(x+3)(x−6)(x+3)​ by factoring the numerators. What is the next step?

Problem 2803

Find 23\frac{2}{3}32​ of 18 and represent the result using a visual set diagram.

Problem 2804

Find the difference between 125x\frac{12}{5x}5x12​ and 76x\frac{7}{6x}6x7​.

Problem 2805

Find the limit of the sequence an=n/n3+8a_n = n/\sqrt{n^3 + 8}an​=n/n3+8​ or state that it diverges.

Problem 2806

Identify local/absolute extrema and inflection points of y=(x−3)3+4y=(x-3)^{3}+4y=(x−3)3+4. Find local max/min points. A. Local max point(s): (3,4)(3, 4)(3,4) B. Local min point(s): (3,4)(3, 4)(3,4)

Problem 2807

Express the polynomial g(x)=x3+8x2+19x+14g(x) = x^3 + 8x^2 + 19x + 14g(x)=x3+8x2+19x+14 with -2 as a zero, as a product of linear factors.

Problem 2808

Rewrite expressions in form 2kx2^{kx}2kx or 3kx3^{kx}3kx. (a) 81x=□81^x=\square81x=□, (b) (94)x=□(\sqrt[4]{9})^x=\square(49​)x=□, (c) (1/8)x=□(1/8)^x=\square(1/8)x=□.

Problem 2809

Find the expression to solve for xxx in the equation 8x=118^{x}=118x=11.

Problem 2810

Solve for the value of xxx in the proportion 4:8=x:724:8 = x:724:8=x:72.

Problem 2811

Solve the linear equation 3x+1=2x+93x + 1 = 2x + 93x+1=2x+9 for the unknown variable xxx.

Problem 2812

Find the exponent of 6 in the expression 63×62÷656^{3} \times 6^{2} \div 6^{5}63×62÷65.

Problem 2813

Find 14\frac{1}{4}41​ of 24 using a tape diagram.

Problem 2814

Determine weekly sales decline after ad campaign using y=18,000(8−0.05x)y=18,000(8^{-0.05x})y=18,000(8−0.05x), where xxx is weeks since end. Find sales at end and 2 weeks later, and whether sales reach $0\$ 0$0.

Problem 2815

Compute the future value of $970.00\$ 970.00$970.00 invested over 4 months at 9.75%9.75\%9.75% p.a. using the formula S=P(1+rt)S=P(1+r t)S=P(1+rt). The future value is $□\$ \square$□.

Problem 2816

Use long division to find the roots of x3−6x2+11x−6=0x^{3} - 6x^{2} + 11x - 6 = 0x3−6x2+11x−6=0.

Problem 2817

Interpret the coefficient of determination r2=0.8744932359r^2 = 0.8744932359r2=0.8744932359 and explain its meaning.

Problem 2818

Differentiate the following expressions, leaving answers in simplified form with positive exponents: a) g(x)=(x2+4)3g(x)=(x^2+4)^3g(x)=(x2+4)3 (2 marks) b) y=x4(1+4x2)y=x^4(\sqrt{1+4x^2})y=x4(1+4x2​) (4 marks)

Problem 2819

Find the parent function of g(x)=2(4)x−1g(x) = 2(4)^{x} - 1g(x)=2(4)x−1.

Problem 2820

Find the number of minutes, mmm, Amy used her phone in a month given the monthly fee of $21\$ 21$21, additional $0.07\$ 0.07$0.07 per minute, and a minimum monthly cost of $103.95\$ 103.95$103.95.

Problem 2821

Find the sum of 100,000,000100,000,000100,000,000, 30,000,00030,000,00030,000,000, 4,000,0004,000,0004,000,000, 900,000900,000900,000, 70,00070,00070,000, 1,0001,0001,000, 700700700, and 666 in standard form.

Problem 2822

Evaluate the integral ∫x3+x154x4+x16−1dx\int \frac{x^{3}+x^{15}}{\sqrt{4 x^{4}+x^{16}-1}} d x∫4x4+x16−1​x3+x15​dx using a substitution, and find the constant of integration.

Problem 2823

Solve the equation 13d+8=−113d + 8 = -113d+8=−1 for ddd.

Problem 2824

Problem 2825

Multiply (540×219)(540 \times 219)(540×219), then divide by 160160160. Round the result to 4 decimal places.

Problem 2826

Solve the equation 1−2⋅2x+5=1\sqrt{1-2 \cdot \sqrt{2 x}+5}=11−2⋅2x​+5​=1 for xxx.

Problem 2827

Find solutions for x=2x=2x=2 and x=−2x=-2x=−2, and simplify (3)(x−4)(3)(x-4)(3)(x−4).

Problem 2828

Solve for ppp in the equation 14=6−p14=6-p14=6−p.

Problem 2829

Find the values of constants aaa and bbb such that (x−a)(x−3)=(x−b)(x−6)+12(x-a)(x-3) = (x-b)(x-6)+12(x−a)(x−3)=(x−b)(x−6)+12.

Problem 2830

Find the value of the expression 5x3−2x+x5−65 x^3 - 2 x + x^5 - 65x3−2x+x5−6 when x=3x = 3x=3.

Problem 2831

Find ΔT\Delta TΔT in the equation q=m×ΔT×Cq = m \times \Delta T \times Cq=m×ΔT×C, where qqq, mmm, and CCC are known.

Problem 2832

Multiply the given rational numbers (3110)(−6)(512)\left(3 \frac{1}{10}\right)(-6)\left(\frac{5}{12}\right)(3101​)(−6)(125​) to find the product.

Problem 2833

Find the midpoint MMM of the line segment with endpoints Q(7,8)Q(7,8)Q(7,8) and R(9,6)R(9,6)R(9,6). Coordinates of MMM are M=(7+92,8+62)M=(\frac{7+9}{2}, \frac{8+6}{2})M=(27+9​,28+6​).

Problem 2834

Find domain and range of g(x)=2x+2g(x) = 2x + 2g(x)=2x+2. Evaluate g(−3)g(-3)g(−3) and g(1)g(1)g(1) using formula and graph.

Problem 2835

Solve the inequality x2≥25x^{2} \geq 25x2≥25 to find the values of xxx that satisfy the inequality.

Problem 2836

Vertically multiply (3x−2y)(9x2+6xy+4y2)(3x-2y)(9x^2+6xy+4y^2)(3x−2y)(9x2+6xy+4y2).

Problem 2837

Find polynomials that are differences of two squares and write them in factored form. Examples: A2−100A^2 - 100A2−100, 4C2−494C^2 - 494C2−49, H2−9E2H^2 - 9E^2H2−9E2.

Problem 2838

Solve the equation 4(1−x)−(3x+2)=6+8(x−8)4(1-x)-(3 x+2)=6+8(x-8)4(1−x)−(3x+2)=6+8(x−8) and express the answer as an integer or simplified fraction.

Problem 2839

Simplify 2x2−4−(2x2+4)2 x^{2}-4 - (2 x^{2}+4)2x2−4−(2x2+4) by combining similar terms.

Problem 2840

Find the value of yyy that satisfies the equation y+4.6=1.3y + 4.6 = 1.3y+4.6=1.3, express the solution as an integer.

Find the $y$ -intercept of the function $f(x) = 3^{x} - 7$ .

Simplify the expression $\frac{4 x}{(x-9)(x+3)}-\frac{(x-6)(x+3)}{(x-9)(x+3)}$ by factoring the numerators. What is the next step?

Find $\frac{2}{3}$ of 18 and represent the result using a visual set diagram.

Find the difference between $\frac{12}{5x}$ and $\frac{7}{6x}$ .

Find the limit of the sequence $a_n = n/\sqrt{n^3 + 8}$ or state that it diverges.

Identify local/absolute extrema and inflection points of $y=(x-3)^{3}+4$ . Find local max/min points. A. Local max point(s): $(3, 4)$ B. Local min point(s): $(3, 4)$

Express the polynomial $g(x) = x^3 + 8x^2 + 19x + 14$ with -2 as a zero, as a product of linear factors.

Rewrite expressions in form $2^{kx}$ or $3^{kx}$ . (a) $81^x=\square$ , (b) $(\sqrt[4]{9})^x=\square$ , (c) $(1/8)^x=\square$ .

Find the expression to solve for $x$ in the equation $8^{x}=11$ .

Solve for the value of $x$ in the proportion $4:8 = x:72$ .

Solve the linear equation $3x + 1 = 2x + 9$ for the unknown variable $x$ .

Find the exponent of 6 in the expression $6^{3} \times 6^{2} \div 6^{5}$ .

Find $\frac{1}{4}$ of 24 using a tape diagram.

Determine weekly sales decline after ad campaign using $y=18,000(8^{-0.05x})$ , where $x$ is weeks since end. Find sales at end and 2 weeks later, and whether sales reach $\$ 0$ .

Compute the future value of $\$ 970.00$ invested over 4 months at $9.75\%$ p.a. using the formula $S=P(1+r t)$ . The future value is $\$ \square$ .

Use long division to find the roots of $x^{3} - 6x^{2} + 11x - 6 = 0$ .

Interpret the coefficient of determination $r^2 = 0.8744932359$ and explain its meaning.

Differentiate the following expressions, leaving answers in simplified form with positive exponents: a) $g(x)=(x^2+4)^3$ (2 marks) b) $y=x^4(\sqrt{1+4x^2})$ (4 marks)

Find the parent function of $g(x) = 2(4)^{x} - 1$ .

Find the number of minutes, $m$ , Amy used her phone in a month given the monthly fee of $\$ 21$ , additional $\$ 0.07$ per minute, and a minimum monthly cost of $\$ 103.95$ .

Find the sum of $100,000,000$ , $30,000,000$ , $4,000,000$ , $900,000$ , $70,000$ , $1,000$ , $700$ , and $6$ in standard form.

Evaluate the integral $\int \frac{x^{3}+x^{15}}{\sqrt{4 x^{4}+x^{16}-1}} d x$ using a substitution, and find the constant of integration.

Solve the equation $13d + 8 = -1$ for $d$ .

Multiply $(540 \times 219)$ , then divide by $160$ . Round the result to 4 decimal places.

Solve the equation $\sqrt{1-2 \cdot \sqrt{2 x}+5}=1$ for $x$ .

Find solutions for $x=2$ and $x=-2$ , and simplify $(3)(x-4)$ .

Solve for $p$ in the equation $14=6-p$ .

Find the values of constants $a$ and $b$ such that $(x-a)(x-3) = (x-b)(x-6)+12$ .

Find the value of the expression $5 x^3 - 2 x + x^5 - 6$ when $x = 3$ .

Find $\Delta T$ in the equation $q = m \times \Delta T \times C$ , where $q$ , $m$ , and $C$ are known.

Multiply the given rational numbers $\left(3 \frac{1}{10}\right)(-6)\left(\frac{5}{12}\right)$ to find the product.

Find the midpoint $M$ of the line segment with endpoints $Q(7,8)$ and $R(9,6)$ . Coordinates of $M$ are $M=(\frac{7+9}{2}, \frac{8+6}{2})$ .

Find domain and range of $g(x) = 2x + 2$ . Evaluate $g(-3)$ and $g(1)$ using formula and graph.

Solve the inequality $x^{2} \geq 25$ to find the values of $x$ that satisfy the inequality.

Vertically multiply $(3x-2y)(9x^2+6xy+4y^2)$ .

Find polynomials that are differences of two squares and write them in factored form. Examples: $A^2 - 100$ , $4C^2 - 49$ , $H^2 - 9E^2$ .

Solve the equation $4(1-x)-(3 x+2)=6+8(x-8)$ and express the answer as an integer or simplified fraction.

Simplify $2 x^{2}-4 - (2 x^{2}+4)$ by combining similar terms.

Find the value of $y$ that satisfies the equation $y + 4.6 = 1.3$ , express the solution as an integer.

Find the value of $-18.1-5$ . (1 point)

Solve for $b$ when $\frac{a b+5}{4}=c \cdot 4$ .

Sketch a model to represent $-6+3$ .

Find the equation of a parabola given its graph. $y = x^{2} + 6x + 8$ . Select the correct answer.

Find the minimum number of prizes that can be distributed from $\$800$ , where the prizes are powers of 2.

Find the product of 3 and the sum of $3x$ and 5.

Simplify $8 - (-17)$ .

Find the time(s) when a ball thrown from 5 ft with 23 ft/s upward velocity reaches 13 ft. $h=5+23t-16t^2$ , round to nearest hundredth.

Solve the equation $x(x+17)=0$ . Write the answers as a list of integers or reduced fractions, separated by commas.

Given points X and Y, the bearing of Y from X is $102$ degrees. Find the bearing of Y from X.

Solve for x in the linear equation $2x + kx = m$ .

Tìm giá trị nhỏ nhất của hàm số $y=x+\sqrt{9-x^{2}}$ .

Simplify $\frac{15}{62}$ . Rearrange $x=3g+2$ to make $g$ the subject.

Find the unknown number $n$ when 7 $n$ - 5 = 23. Write the linear equation and solve for $n$ .

Solve the linear equation $-18=3n-3+2n$ for the variable $n$ .

Solve for $x$ in the equation $\frac{xd}{8}=c$ , where $x$ , $d$ , and $c$ are real numbers.

Evaluate the indefinite integral $\int \frac{dx}{\sqrt{9x^2 - 4}}$ .

Find the base $b$ of a rectangle with area $A=77$ and height $h=4$ using the formula $A=bh$ .

Find the missing number in the equation $x^2 + 12x + 44 = (x + 6)^2 + c$ .

Find the number of players the lacrosse team can bring to the tournament given a budget of $\$1581.75$ for bus rental ( $\$968.50$ ) and $\$55.75$ per player for meals.

Find the correct scale ratio for a 2-inch model of an 8-foot shark: $1 \text{ in } : 4 \text{ ft}$ , $1 \text{ in } : 6 \text{ ft}$ , $1 \text{ in } : 7 \text{ ft}$ , or $1 \text{ in } : 5 \text{ ft}$ .

Solve the linear equation $102-6x = 150-18x$ for the unknown variable $x$ .

Find the equation that represents "When 9 is multiplied by a number, the result is 90". A) $x-9=90$ B) $x \div 9=90$ C) $9+x=90$ D) $9x=90$

Solve the equation $5x + 6 = 8$ algebraically. Express the solution as a reduced fraction.

Löse die Gleichung $30x + 5(14x - 2) = 14(3x + 2) - 8x$ .

Solve the inequality $x^2 + 5x - 1 \geq 2x + 3$ for real values of $x$ .