Identify which functions are continuous for all real numbers:
I. f(x)=x1/3
II. g(x)=secx
III. h(x)=e−x
(A) I only
(B) I and II only
(C) I and III only
(D) I, II, and III
omial Functions Practice Question 4
iploma Use the following information to answer the next question.
The binomial x+2 is a factor of f(x)=x3+3x2+kx+4 Add-on: State the zeros of f(x)(x+2)3 The value of k is f(−2)=(−2)3+3(−2)2+k(−2)+4=0
9.) Consider the line y=−8x+2.
(a) Find the equation of the line that is perpendicular to this line and passes through the point (−4,5).
(b) Find the equation of the line that is parallel to this line and passes through the point(4,5).
A random sample of 835 births included 426 boys. Use a 0.05 significance level to test the claim that 50.5% of newborn babies are boys. Do the results support the belief that 50.5% of newborn babies are boys? Identify the null and altemative hypotheses for this test. Choose the correct answer below.
A. H0:p=0.505H1:p=0.505
B. H0:p=0.505H1:p<0.505
c.
H0:p=0.505H1:p>0.505
D. H0:p=0.505H1:p=0.505
Quadratic Equations Unit Test Part 2 Jedida solved the quadratic equation x2−96=4x by factoring. Her work is shown below. At which step did Jedida first make a mistake, if at all?
x2−96=4x Step 1: x2+4x−96=0 Add 4x to both sides. Step 2: (x+12)(x−8)=0
Factor.
Step 3: x+12=0 or x−8=0 Use the Zero Product Property.
x=−12 or x=8 Step 1 ; she added 4x to both sides instead of subtracting.
Step 3; she did not apply the Zero Product Property correctly.
Step 2; she did not factor the left side of the equation correctly.
She did not make any mistakes.
4. A teacher is creating a test for his Algebra 1 students. The test is made up of multiple-choice and free response questions. Each mutliple-choice question is worth 7 points and each free response question is worth 8 points. If the test has 48 questions and is worth a total of 374 points, which equations can be used to find x, the number of multiple-choice questions and y, the number of free response questions on the test?
Choose TWO correct answers.
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Next Select all the expressions that can be used to calculate 43% of \26.\frac{26}{100}\frac{26}{100} \cdot 43\frac{26}{43} \cdot 100\frac{43}{100} \cdot 26\frac{100}{43} \cdot 26$
8. Represent and Connect Andre wrote the expression 15(1.5x−3) to represent the relationship shown in the table.
Write two other expressions that represent the relationship shown in the table.
```latex
\text{Greatest Common Factor (GCF) Maze!} \text{Directions: Find the GCF of each set of numbers. Use your solutions to navigate through the maze.} \text{SHOW ALL WORK on a separate sheet of paper and attach it to this page!} \text{Find the GCF of the following set of numbers:} \begin{itemize}
\item 12 and 78
\end{itemize} \text{(c) Gina Wilson (All Things Algebra\textregistered), LLC, 2019}
```
Constant Motion The line representing an object at rest on a speed-time graph is a horizontal line at y=0. The line representing an object moving at constant speed is a horizontal line at that speed. Recognize
7o. What are two motions that are illustrated as a horizontal line on a speed-time Graph?
6
What will happen to the equilibrium price and quantity if the demand curve shifts from D1 to D2 in the market described by the graph above? Equilibrium Price
Equilibrium Quantity
A. Increase Decrease
B. Increase Increase
C. Not change Increase
D. Increase Not change
2 Matching
1 point
Find the slope of the line that passes through the points given in the first column and match them with the appropriate result.
\begin{tabular}{|l|l|l|}
\hline(10,7) and (1,2) \\
\hline(9,9) and (1,16) & \\
\hline \\
\hline(8,3) and (2,1) & \\
\hline
\end{tabular}
The table below shows the time spent watching TV and the time spent doing homework for each of 7 students.
Create a scatter plot for the data.
\begin{tabular}{|c|c|}
\hline \begin{tabular}{c}
Time spent \\
watching TV \\
(in hours)
\end{tabular} & \begin{tabular}{c}
Time spent \\
doing homework \\
(in hours)
\end{tabular} \\
\hline 5 & 12 \\
\hline 8 & 7 \\
\hline 9 & 9 \\
\hline 10 & 6 \\
\hline 11 & 4 \\
\hline 13 & 1 \\
\hline 14 & 2 \\
\hline
\end{tabular}
5. The fence posts around a large pasture are 2.5 m apart. A horse starts running west beside the fence. When the horse passes the fifth fence post, your second hand is on the 9.0 s mark. When the horse passes the fourteenth fence post, the second hand is on 111.5 s . What is the horse's velocity?
Video 部, A parabola opening up or down has vertex (6,−4) and passes through (3,−413).Write its equation in vertex form. Simplify any fractions.
□□
(I)
2
submit
Find the equation for the function that is finally graphed after the following transformations are applied to the graph of y=x2 in the order listed.
a) Reflect about the x-axis
b) Shift up 5 units
c) Shift left 2 units
Finsth grea
Learming
Ansesment
Analytics
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vides (1)
Csan
aspure Last month, Devon and Zachary sold candy to raise money for their debate team. Zachary sold 3 times as much candy as Devon did. If Devon sold 4/5 of a box of candy, how many boxes of candy did Zechary sell? Write your answer as a fraction or as a whole or mixed number.
14
1=
chengent
-
18
8
□ boxes
Submit
Emartsert
meting
64
se the given information to prove that △PQR≅△TSR. Given: QR≅SR
Send To Proof
∠PQR≅∠TSR
Send To Proof Prove: △PQR≅△TSR
Send To Proof
Statement
Reason 1 □ Reason? Validate
4. It has been estimated that the G-car obtains a mean of 35 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds this estimate in highway driving. To support its assertion, the company randomly selects 36 G -cars and records the mileage obtained for each car over a driving course similar to that used to obtain the estimate. The following data resulted: xˉ=36.8 miles per gallon, s=6 miles per gallon. Calculate the value of β if the true value of the mean is 37 miles per gallon. Use α=0.025.
Ryan is cooking a roast. The table below gives the temperature R(t) of the roast (in degrees Celsius), at a few times t (in minutes) after he removed it from the oven.
\begin{tabular}{|c|c|}
\hline \begin{tabular}{c}
Time t \\
(minutes)
\end{tabular} & \begin{tabular}{c}
Temperature R(t) \\
(∘C)
\end{tabular} \\
\hline 0 & 184.3 \\
\hline 20 & 140.3 \\
\hline 30 & 109.3 \\
\hline 50 & 51.3 \\
\hline 60 & 28.3 \\
\hline
\end{tabular}
(a) Find the average rate of change for the temperature from 0 minutes to 30 minutes.
□∘C per minute
(b) Find the average rate of change for the temperature from 50 minutes to 60 minutes.
□∘C per minute
\begin{align*}
\text{A potassium atom } & \square \text{ to form a } \square \text{ ion.} \\
\text{A sulfur atom } & \square \\
& \square \text{ to form a } \square \text{ ion.}
\end{align*} \text{For the first statement, the options for the first blank are: gains 1/2/3 or loses 1/2/3.} \\
\text{The options for the second blank are: neutrons/electrons/protons.} \\
\text{The third blank is a value from 0 to +8.}
An equation in slope-intercept form of a line passes through the point (−3,5) and is perpendicular to the line represented by y=−43x−4. What are the slope and y-intercept that best represents this linear function?
Move the correct answer to each box. Slope: □
y-intercept:
34□
Prag and drop the correct cholce into the blank spaces above
6. Assume a business is deciding whether to invest in a new project that is projected to generate profits of $90,000 each year for the next three years. The project start-up costs are $225,000.
(A) If the business normally earns 11 percent on its investments, should the business invest? Show/explain.
(B) If the business normally earns 5 percent on its investments, should the business invest? Show/explain.
QUESTION 10
A random sample of 15 long distance runners aged 20−25 was selected from a running club. The resting heart rates (in beats per minute) of the runners are shown below. Assuming σ=8.03, give the 95% and 98% confidence intervals for the population mean.
\begin{tabular}{|l|l|l|l|l|}
\hline 62 & 70 & 61 & 64 & 75 \\
\hline 75 & 70 & 62 & 66 & 79 \\
\hline 67 & 62 & 66 & 69 & 70 \\
\hline
\end{tabular} Round answers to one decimal place
Cl95% : Lower Limit =□ :Upper Limit = □
Cl98\%: Lower Limit =□ ; Upper Limit = □
4y−1218−6y 7. Simplify. State any restrictions on the variables.
a) x2+3xy−28y2x2−5xy+4y2×x2−y2x2+2xy+y2
b) a2−7ab+10b22a2−12ab+18b2÷a2−7ab+10b24a2−12ab
c) 9x2−y210x2+3xy−y2÷12x+4y6x2+3xy
d) 2n−14m15m2+mn−2n2×5m2+7mn+2n27m2−8mn+n2
Lagin
Siạn in tel Texas Calleg̣e Erizal
Edready - jassessment/start- Measurement
Progress:
Question ID: 558395 The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your onswer.
Match the metric units on the left with their approximate equivalents on the right. Not all the options on the right will be used. 100 centimeters
500 grams
250 milliliters Clear 1 cup
1 mile
5 pounds
1 pound
1 yard
1 quart
□ Click and hold an item in one column, then drag it to the matching item in the other column. Be sure your cursor is over the target before releasing. The tanget will highlight or the cursor will change. Need help? Watch this video.
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Dec 17
10:
4. La valeur d'une action varie selon la règle:
y=−3∣x−4∣+16
où x représente le nombre de mois écoulés depuis l'émission de l'action et y la valeur de l'action.
Au cours d'une période d'un an, détermine l'intervalle dans lequel la valeur de l'action a été supérieure à 10 \.A)[0,2[\cup] 6,12]B)[0,12](C)] 2,6[D)]-\infty, 2[\cup] 6,+\infty[$