Evaluate the expression below for x = 2, y = –3, and z = –1.

A.

–23

B.

–5

C.

13

D.

27

Answers

Answer 1

Correct question:

Evaluate the expression below for x = 2, y = –3, and z = –1.

Given: [tex] x^2 z^2 -y^2(x+z) [/tex]

Options:

A.–23

B.–5

C.13

D.27

Answer:

B. -5

Step-by-step explanation:

In this question we are given the following values:

x = 2

y = -3

z = -1

Given the expression:

[tex] x^2 z^2 -y^2(x+z) [/tex]

To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively

Therefore,

[tex] x^2 z^2 -y^2(x+z) [/tex]

Substituting values, we have:

[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]

Simplifying, we have:

[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]

[tex]= [(4) (1)] - [(9)(1)] [/tex]

[tex]= 4 - 9[/tex]

= -5

The correct answer is option B


Related Questions

PLEASE HELP!!!! attached photo

Answers

Answer:

(-1, -2.5)

Step-by-step explanation:

The midpoint formula is just basicallyadding both  of the x values and then dividing the sum of them by 2, after that you will be adding both y values and then dividing them by 2, then you will get the midpoint x and y coordinate values. You can look up midpoint formula on google to see how it's actually written. You have to make sure to add correctly when you are using the negative numbers, because they can actually turn the equations into subtraction. Keep in mind, it can beconfusing sometimes when you are working with positive and negative numbers together. So make sure to just double check your work and also to make sure you added correctly.

Brainliest please, I need a few more :D

What is the domain of the following parabola? (5 points)
3
-2
-1/
x
1
xs1
All real numbers
ys2

Answers

Answer:

Step-by-step explanation:

The domain of this quadratic is "all real numbers."  The function is defined for all x.  

Point L was plotted at (-4, 1), then L was transformed creating point L’ at (-1, -4).Which transformation rule could have been used to plot L’?
Reflection across the x-axis
a 180 degree rotation about the origin
A 270 degree rotation counterclockwise rotations about the origin
A translation using the rule (x,y) -->(x+3, y -5)

Answers

Answer:

you would go down 2 from the point

Step-by-step explanation:

I'm in quite in a bit of a pickle... so, please? and I never forget to mark brainiest

Answers

The correct answer is a translation.

A rotation would change the direction, a reflection would change the direction, and a dilation would change the size.

I hope this helps :)

Answer:

translation

Step-by-step explanation:

What is the area C in terms of

Answers

Answer: D

Hope this help

A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?

Answers

Answer:

[tex]\frac{7\pi}{4}[/tex].

Step-by-step explanation:

Given information:

Radius of circle = 8 cm

Area of sector = [tex]56\pi\text{ cm}^2[/tex]

Formula for area of sector is

[tex]A=\dfrac{1}{2}\theta r^2[/tex]

where, r is radius and [tex]\theta[/tex] is central angle in radian.

Substitute [tex]A=56\pi[/tex] and r=8 in the above formula.

[tex]56\pi=\dfrac{1}{2}\theta (8)^2[/tex]

[tex]56\pi=\dfrac{64}{2}\theta[/tex]

[tex]56\pi=32\theta[/tex]

[tex]\dfrac{56\pi}{32}=\theta[/tex]

[tex]\dfrac{7\pi}{4}=\theta[/tex]

Therefore, the measure of the sector in radians is [tex]\frac{7\pi}{4}[/tex].

Use the ratio test to determine whether the series is convergent or divergent.2 +4/2^2 + 8/3^2 + 16/4^2 +

Answers

Answer:

The result is 2 > 1. Hence, the series diverges

Step-by-step explanation:

You have the following series:

[tex]2+\frac{4}{2^2}+\frac{8}{3^2}+\frac{16}{4^2}+...+\frac{2^n}{n^2}=\sum_{i=1}^{i=n}a_n[/tex]   (1)

You use the ratio test to determine if the series is convergent or divergent. The ratios test is given by:

[tex]\lim_{n \to \infty} \frac{a_{n+1}}{a_n}[/tex] (2)

Then, you replace the series (1) in (2):

[tex]\lim_{n \to \infty} \frac{\frac{2^{n+1}}{(n+1)^2}}{\frac{2^n}{n^2}}= \lim_{n \to \infty} \frac{(2^n2)(n^2)}{2^n(n+1)^2}\\\\\lim_{n \to \infty} \frac{2n^2}{n^2+2n+1}= \lim_{n \to \infty} \frac{2n^2}{n^2[1+\frac{2}{n}+\frac{1}{n^2}]} \\\\\lim_{n \to \infty} \frac{2}{1+\frac{2}{n}+\frac{1}{n^2}}=\frac{2}{1+0+0}=2[/tex]

In the ratio test you have that if the limit is greater than 1, the series diverges.

The result is 2 > 1. Hence, the series diverges.

What is the sum of these expressions: (-3.5t - 4s + 4.5) + (-7.1 - 0.3s + 4.1t)

Answers

Answer:

0.6t - 4.3s - 2.6.

Step-by-step explanation:

PEMDAS

Answer:

-4.3s+0.6t-2.6

Step-by-step explanation:

Add like terms:

-3.5t+4.1t-4s-0.3s+4.5-7.1

= 0.6t-4.3s-2.6

= -4.3s+0.6t-2.6

Assignment
Health Club Fees You are choosing between two health clubs Club A offers membership for a fee of $7 plus a monthly fee of $23. Club B offers membership for a
tee of $35 plus a monthly fee of $16. After how many months will the total cost of each health club be the same?
in month(s) the total cost of each health club will be the same

Answers

Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.

Step-by-step explanation:

Club A can be represented by the equation    y = 23x + 7  where x is the number of months  and y is the cost.

Club B can be represented by the equation   y = 16x + 35  where x is the number of months and y is the cost.

23x + 7 = 16x + 35     set the equation equal each other to solve for x

        -7               -7

23x  = 16x + 28

-16x     -16x

7x= 28

x= 4   now we know the value of  x is 4 so we will put it into the equation and solve for y

y= 16(4) + 35

y= 99

Find the area of a face of a rectangular prism.

What is the area of the front of the prism?

Area =
cm2

Answers

Answer:

It is L*W*H.

Width times Height

Step-by-step explanation:

I don't know what you are exactly talking about, there are no attached worksheet. But if you are talking about the formula for the rectangular prism.

Formula for rectangle prism: L*W*H

Area of the front of the prism: Width times height

Answer:

12cm2

Step-by-step explanation:

edge 2020 correct on assignment

WILL MARK BRAINLIEST! If you buy 3 pounds of hamburg for $8.97, how much will it cost for 5 pounds of hamburg?

Answers

Answer:

14.95

Step-by-step explanation:

every 1 pound is 2.99 so you would do 2.99 * 5

Answer:

$14.95

Step-by-step explanation:

To find the slope or the cost per pound of hamburger you divide 8.97 by 5 in order to find out it costs 2.99 per hamburger. You then, multiply 2.99 by 5 to gather that to buy 5 pounds of hamburger it would cost $14.95.

need asap! please help!

Answers

Answer:

x = 2

Step-by-step explanation:

7x + 5 = 19

Subtract 5 on both sides

7x = 14

Divide by 7 to isolate x

x = 2

Hope this helps!

How many 9’s are there between 1 and a 100?

Answers

Answer:

20

Step-by-step explanation:

There’s 11 “9’s” between 2 and 100!

From the moment the first car started how many hours will it take the second car to catch up to the first

Answers

Answer:

HELP

Step-by-step explanation:

Draw the shape described below and find its total surface area.
A cylinder 25 ft tall with a diameter of 12 f

Answers

Answer:

hope this helps :)

Step-by-step explanation:

8:07

Cylinder volume & surface area (video)

Subtract.

(5x-1)-(3xy+c)

Answers

Answer:

5 x − 1 − 3 x y − c

The solution to the expression (5x-1)-(3xy+c) would be 5x - 1 - 3xy - c.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

The given expression is (5x-1)-(3xy+c)

The subtraction between them is

5x - 1 - 3xy - c

Thus, the subtraction would be 5x - 1 - 3xy - c.

Learn more about linear equations;

https://brainly.com/question/11897796

In a group of 30 people, 10 drink milk but not tea 5 drink tea
but not milk and 13 drink neither tea nor milk. find how many people drink both tea and milk.​

Answers

Answer:

2

Step-by-step explanation:

10 + 13 + 5 = 28 who drink either, or, or neither

30 - 28 = 2

Answer:

2 drink both tea and milk

Step-by-step explanation:

30 people - 13 drink neither = 17 - 10 drink milk but not tea = 7 - 5 drink tea but not milk = 2 drink both tea and milk.

Complete the equation of the line whose slope is -2 and y-intercept is (0,-8)

y=

Answers

Answer:

y = -2x - 8

Step-by-step explanation:

We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.

We already know that the slope is -2, so that means m = -2.

We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.

Thus, our equation is: y = -2x - 8.

~ an aesthetics lover

y=-2x-8 this should be right i had this same problem before :)

An aquarium in the shape of a rectangular prism has a bottom, no top, two square sides, and two sides
the same height as the square sides but twice their length. The total area of the five sides 15 2,592 in?.
Find the volume of the aquarium. Complete the explanation of your reasoning.
Let x represent the length and height of the square sides. Then the longer sides and the bottom measure
2x by x. The total area of the five sides, in terms of x, is A =____
So, the total area of the five sides,
A, is 2,592 in2. Solving for x we get x =____
The tank's volume is ____
in squared?

Answers

Answer:

volume = 11,664 units cubed

Step-by-step explanation:

2[tex]x^{2}[/tex] times 3 = bottom and sides

[tex]x^{2}[/tex] times 2 = ends

A = 6[tex]x^{2}[/tex] + 2[tex]x^{2}[/tex] = 8[tex]x^{2}[/tex]

2592 = A

2592/8 = 8[tex]x^{2}[/tex]/8

324 = [tex]x^{2}[/tex]

take square root of both sides

18 = x

so volume = length times width times height

2(18) times 18 times 18 = 11664

11664 units cubed

Which polynomials are in standard form?

Answers

Answer:

Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.

Step-by-step explanation:

what is the answer to -12= -2x-4x

Answers

Answer:

x = 2

Step-by-step explanation:

-12 = -2x - 4x

-12 = - 6x

x = -12/(-6) = 2

Answer:

Step-by-step explanation:

A 10-foot ladder is to be placed Against the side of the building. The base of the latter must be placed in an angle of 72° With the level ground for a secure footing. Find, to the nearest inch, how far the base of the latter should be from the side of the building and how far up the side of the building the latter will reach.

Answers

Answer:

Distance of foot of ladder from building: 37.2 inches

Distance of top of ladder from building's base: 114 inches

Step-by-step explanation:

Please refer to the figure attached in the answer area.

A right angled triangle [tex]\triangle ABC[/tex] is formed by the ladder with the building where hypotenuse is the length of ladder.

Hypotenuse, AC = 10 foot

Also, we are given that angle made by the base of ladder with the ground is [tex]72^\circ[/tex].

We have to find AB and BC.

[tex]\angle BAC = 72^\circ[/tex]

Using trigonometric functions:

[tex]cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches[/tex]

[tex]sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow 0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches[/tex]

Distance of foot of ladder from building: 37.2 inches

Distance of top of ladder from building's base: 114 inches

please help im having trouble with these problems​

Answers

Answer:

B I think

Step-by-step explanation:

Which description of the graph of the linear inequality y ≥ 7x – 4 is correct????The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.
The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.
The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.

Answers

Answer:

It's the second description

Step-by-step explanation:

It's one of the inequality symbols for greater/less than or equal to, which means the line is solid. Then, y is greater than or equal to 7x-4 which means it will be shaded above the line.

Answer:

The correct answer is the 2nd option

Step-by-step explanation:

A survey will ask people if they want
more stop signs near a school. Which
group would be probably be biased
against this idea?
A students
B teachers
C driver

Answers

driver because it slows them down

Answer:

I believe the answer is C. Driver.

Step-by-step explanation:

The driver is the person who has to pass by the school everyday. This means they would have to take out extra time because of the stop signs, so they would be against this.

30 points
In two or more complete sentences, discuss the advantages and disadvantages of investing in a CD versus investing in a basic savings account.

Answers

A savings account helps you save for retirement and college while a CD isn’t typically used for that. A savings account is much more beneficial because it is also an emergency fund when you need it.

find the missing angle in the triangle

Answers

Answer:

60

Step-by-step explanation:

Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!

Answer:

60

Step-by-step explanation:

If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.

PLEASE HELP! Drag each tile to the correct box.

The height of an object launched upward from ground level is given by the function s(t) = -4.9t2 + 78.4t, where s(t) is the height in meters and t is the time in seconds. Arrange the time intervals in ascending order of the object's magnitude of average velocity over the interval.

Answers

Answer:

the distance of  the object before it  hits the ground after launch is t = 1.592 seconds

Step-by-step explanation:

The height of an object launched upward from ground level is given by the function s(t) = -4.9t² +7.8t

when the object reach the ground then s(t) = 0

So;  -4.9t² +7.8t = 0

-4.9t² +7.8t + 0 = 0

By using the quadratic equation

[tex]\mathbf{\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}}[/tex]

where; a = -4.9 ; b = 7.8 and c = 0

[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(7.8)^2-4(-4.9)(0)} }{2(-4.9)}}[/tex]

[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(60.84} }{-9.8}}[/tex]

[tex]\mathbf{=\dfrac{-(7.8) + \sqrt{(60.84} }{-9.8} \ \ \ \ OR \ \ \ \ \mathbf{\dfrac{-(7.8) - \sqrt{(60.84} }{-9.8}}}[/tex]

[tex]\mathbf{=0 \ \ \ OR \ \ \ 1.592 }}[/tex]

Hence;  the distance of  the object before it  hits the ground after launch is t = 1.592 seconds

What is the y-coordinate of the solution of the system of equations? {y=3x−26 2x−y=19 Enter your answer in the box.

Answers

Answer:

The y-coordinate of the solution is -5.

Step-by-step explanation:

I graphed the equations on the graph below to find the solution of the system.

If this answer is correct, please make me Brainliest!

Data was collected for the number of births per 10,000 people in the United States of America for 20 consecutive years. Below is the data for those 20 consecutive years. Construct a p chart and answer the question below.

157 160 164 167 167 162 158 154 150 146 144 142 143 142 144 141 139 141 140 140
Select the correct lower control limit.

Answers

Answer:

Option A is correct.

Step-by-step explanation:

Unit 6: Statistical Process Control POSTTEST Answers (STANDARD NOT HONORS STATISTICS)

1. p bar = 0.0061

2. x bar = 6.992

3. UCL = 0.019

4. Process mean is not within statistical control. There are points above and below the control limits. There is an upward trend.

5. UCL = 58.90; LCL = 40.24

6. Process appears to be out of statistical control. There is a point that lies above the upper control limit.

7. Process mean is not within statistical control. One of the points lies above the upper control limit.

8. UCL = 0.133

9. Process is out of statistical control. There is a downward trend.

10. Process mean is not within statistical control. There are points above and below the control limits. There is a cyclical pattern.

PEARSON CONNEXUS STUDENTS: 100% correct if you put these answers.

Other Questions
Medallion Cooling Systems, Inc., has total assets of $9,800,000, EBIT of $2,050,000, and preferred dividends of $201,000 and is taxed at a rate of 40%. In an effort to determine the optimal capital structure, the firm has assembled data on the cost of debt, the number of shares of common stock for various levels of indebtedness, and the overall required return on investment: Capital structure/debt Cost of debt Number of stock shares Rate of return0% 0% 200,000 12.3% 15 7.8 175,000 13.1 30 9.1 140,000 14.2 45 12.1 111,000 16.3 60 15.2 75,000 20.1Calculate earnings per share for each level of indebtedness. Punctuation used to separate written fractions: _____. apostrophe comma hyphen parentheses quotation marksPLZ HELP ASAP DVD players are going out of fashion in the modern era. If 400,000 DVD players were sold this year and sales are declining at a rate of 31% per year, how many will be sold 3 years from now?130,000131,404128,000399,876 PLEASE HELP WITH THIS EASY QUESTION!! EXPLANATION NEEDED!! What is the solution to Negative 1 minus 7? A number line going from negative 10 to positive 10. 8 6 6 8 True or False: Too much carbon in seawater prevents clams, snails, and othersea animals from growing their shells. The only thing that makes one kind of light different from another is its ____? A) frequency B) colorC) wavelength D) temperature I am thinking of two unique whole numbersTheir sum is 12The larger number is evenTwice the smaller number less than the larger number equals 6 When people are ruled with or without their consent?a) democracyb) governancec) legitimated) monarchy Which of these expressions is equivalent to log (9^2)?A. log (2) - log (9)B. 2 * log (9)C. log (2) + log (9)D. log (2) * log (9) HURRY PLEASE!! WILL MARK THE BRAINLIEST Which of the following are factors of thepolynomial? evaluate the following function is f(x)=3x-2 and g(x)=5x+1 what is -2f(4)+3g(1) 3 hazards that occur in teaching and learning of science Which resource is a renewable resource?A. CoalB. GemstonesC. MetalD. Trees It is currently 0 degrees outside, and the temperature is dropping 4 degrees every hour. The temperature after h hours is -4h. It can be described with the equation -4h=-14. What value of h makes the equation true? Which of the following countries has the largest population? A. Colombia B. Brazil C. Argentina D. Mexico Please select the best answer from the choices provided A B C D A tire manufacturer has 1000 units of raw rubber to use in producing radial tires for passenger cars and tractor tires. Each radial tire requires 5 units of rubber; each tractor tire requires 20 units. Labor costs are $80 for a radial tire and $120 for a tractor tire. Suppose the manufacturer does not wish to pay more than $15,000 in labor costs and wishes to make a profit of $100 per radial tire and $250 per tractor tire. How many of each kind of tire should be made in order to maximize profit Which statement best describes a characteristic of the Renaissance in Europe What number should be added to x^224x in order to complete the square?-144-2412144 Please help me find MAD for this