How would the graph of the function y=|x|-4 be affected if the function were changed to y=|x|-1?

Answers

Answer 1

Answer:

[tex]y =|x| - 4[/tex] is translated 3 units up

Step-by-step explanation:

Given

[tex]y =|x| - 4[/tex]

Required

The changes that makes it to: [tex]y =|x| - 1[/tex]

By observation, we can see that [tex]y =|x| - 4[/tex] was translated up to [tex]y =|x| - 1[/tex]

Next, is to calculate the units of translation (c)

Represent the old function as:

[tex]y=\left|x\right|-4 + c[/tex]

Equate y and y

[tex]\left|x\right|-4 + c =\left|x\right|-1[/tex]

Cancel out |x|

[tex]-4 + c=-1[/tex]

Solve for c

[tex]c = 4 - 1[/tex]

[tex]c = 3[/tex]


Related Questions

What is the surface area of the solid shown below?

Answers

Answer:

[tex]\text{C. }156\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The surface area of the triangular prism consists of three rectangles and two triangles.

Rectangle One - 5 x 12 = 60 cm^2

Rectangle Two - 4 x 12 = 48 cm^2

Rectangle Three - 3 x 12 = 36 cm^2

Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2

Thus, the total surface area of the solid is [tex]60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}[/tex]

125 ft to yd what is the answer

Answers

Answer:

your answer is 41.6667

Answer:

41 2/3 yards

Step-by-step explanation:

Divide by 3 because 3ft in one yard

125 / 3 = 41 2/3 yards

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the measure of angle QZT.

Answers

Answer:    112

========================================================

Explanation:

Minor arc QV is 80 degrees because it adds to minor arc VU = 100 to get 80+100 = 180. Note how angle QPU = 180, since it's a straight line and QU is a diameter of the circle.

Add up the minor arcs

TUUVVQ

to get:  44+100+80 = 224

This means arc TUQ is 224 degrees. Inscribed angle QZT subtends arc TUQ. Use the inscribed angle theorem to say that the inscribed angle is half of the arc it cuts off.

angle QZT = (arc TUQ)/2

angle QZT = 224/2

angle QZT = 112 degrees


Jffkdjdjdjdkskkskskskskakskkdkdkskdk

Answers

Answer:

the anser is d

Step-by-step explanation:

Answer:

b) 7x² - 12x√14 + 72

Step-by-step explanation:

Let's solve the problem,

→ (x√7 - 3√8)(x√7 - 3√8)

→ (x√7 - 3√8)²

→ 7x² - 12x√14 + 72

Hence, option (b) is correct.

In the figure below, EC || AB. Find the length of EC.

Select the best choice from the answers provided.
A.) 12.5
B.) 18
C.) 25
D.) 39.6

Answers

Answer:

Letter a)

Step-by-step explanation:

quizlet

guys please help its my final either i pass or not

Answers

Answer:

Step-by-step explanation:

1 yes 2 no 3 no 4 yes 5 no

Answer:

1. yes

2. yes

3. no

4. yes

5. no

Step-by-step explanation:

go to mathwa* and type in the same equation and click to see if function or not.

gl on the final

this guy above me is wrong for #2

Why did the farmer open a bakery?

Answers

Answer:

yes

Step-by-step explanation:

yes

Answer:

Step-by-step explanation:

Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...

A sample of 300 subscribers to a particular magazine is selected from a population frame of 9,000 subscribers. If, upon examining the data, it is determined that no subscriber had been selected in the sample more than once:________.
A. the sample could not have been random
B. the sample may have been selected without replacement or with replacement
C. the sample had to have been selected without replacement
D. the sample had to have been selected with replacement

Answers

Answer:

C

Step-by-step explanation:

It is determined that no subscriber had been selected in the sample more than once the sample had to have been selected without replacement.

What is the sample?

A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.

If it is determined that no subscriber had been selected in the sample more than once, this means that each subscriber was only included once in the sample. This can only occur if the sample was selected without replacement, meaning that each subscriber was selected once and only once from the population frame.

Therefore, the correct answer is C. the sample had to have been selected without replacement.

Learn more about the sample here:

https://brainly.com/question/11045407

#SPJ6

4(x+2) help please.

Answers

Answer:

4x + 8

Step-by-step explanation:

4(x+2)

4*x + 4*2

4x + 8

[tex] \large\sf \leadsto 4(x + 2)[/tex]

[tex] \large\sf \leadsto 4 \times (x + 2)[/tex]

[tex] \huge\sf \leadsto \pmb {4x + 8}[/tex]

Q8. How many solutions does the system of equations have?

Answers

Answer:

it would be the first answer

Step-by-step explanation:

a solution is where the lines meet, and the coorinate is (1,4)

the answer would b A !

Find the length of the missing side

Answers

Answer:

it should be 40 in.

Step-by-step explanation:

because you have to use pythagorean theorem which is A square plus B square equals C square

Hope it helps.

How do I solve this?

Answers

Answer:

find all numbers, stick together o make an uqaion and solve . simplifi if needed

Step-by-step explanation:

Que sucede cuando dividimos un numero entre si mismo

Answers

Answer:

no pasa nada

Step-by-step explanation:

espero que eso te ayude:)

Answer:

Cualquier número dividido entre si mismo da como resultado 1

In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.

Answers

Answer:

[tex]f(x) = x^3 +5x^2-4x-20[/tex]

Step-by-step explanation:

Given

[tex]Zeros: -5,-2,2[/tex]

Required

The polynomial function

If a function has a, b and c as its zeros, the function is:

[tex]f(x) = (x - a)(x - b)(x - c)[/tex]

So, we have:

[tex]Zeros: -5,-2,2[/tex]

[tex]f(x) = (x - (-5))(x - (-2))(x - 2)[/tex]

Open the inner brackets

[tex]f(x) = (x +5)(x +2)(x - 2)[/tex]

Expand the difference of two squares

[tex]f(x) = (x +5)(x^2 - 4)[/tex]

Expand

[tex]f(x) = x^3 +5x^2-4x-20[/tex]

can someone help me please​

Answers

Answer:

perimeter: 36

area: i dont know sorry

Step-by-step explanation:

A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?

A. 30-35

B. 65-70

C. 130-135

D. 265-270

Answers

Answer:

Step-by-step explanation:

B?

You roll 2 dice and flip a coin. What's the probability of getting two 4's and a tails?

Answers

Answer:

2/4

Step-by-step explanation:

There were 3 chihuahuas at the dog park last Saturday, along with 9 other dogs. Considering this data, how many of the next 20 dogs to arrive at the park next Saturday should you expect to be chihuahuas?

Answers

Answer:

5

Step-by-step explanation:

Since there are 3 chihuahuas out of 12 dogs IN TOTAL (which includes the 9 other dogs), the ratio is 1:4, or 1/4.

Assuming this ratio is consistent, (1/4)*20 is 5.

In conclusion, you can expect there to be 5 chihuahuas out of the next 20 dogs to arrive at the park.

Hope it helped, and have a beautiful day/night! <3

When oil is spilled in water, it creates a thin film of water approximately 1 micron thick. A barrel of oil is approximately 42 gallons of oil. If we spill a barrel of oil on the water, what is the area covered by the oil slick

Draw a sketch showing the relevant dimensions.
State your answer in square meters.
State your answer in square kilometers.

Answers

9514 1404 393

Answer:

158,987 m²0.158986 km²

Step-by-step explanation:

42 gallons is about 0.158987 cubic meters. 1 micron is 1 micro-meter, or 10^-6 meters. The volume is the product of the area and thickness. For some area A, we have ...

  0.158987 m³ = (10^-6 m)A

  A = (10^6)(0.158987 m² = 158,987 m²

The area in square meters is 158,987.

__

A square km is (1000 m)² = 10^6 m². So, the area in square kilometers is about ...

  (158,987 m²)/(10^6 m²/km²) = 0.158987 km²

The area in square km is about 0.1590.

A gallon of gas costs $3.05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the

highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0.5 hours to get to work. The highway has one $1.25 toll.

Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.

Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0.5 hours B. 1 hour C. $1.25 per car D. $3.05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour

Answers

Answer:

The quantities that would be used to determine the total cost for Joey to derive to work using the highway are:

A. 0.5 hours

C. $1.25 per car

D. $3.05 per gallon

F. 35 miles per gallon

H. 54 miles per hour

Step-by-step explanation:

Cost of a gallon of gas = $3.05

Distance travelled per gallon on the highway = 35 miles

Distance travelled per gallon in the city = 27 miles

Joey's average speed using the highway = 54 miles per hour

Number of hours to get to work using the highway = 0.5 hours

Toll on the highway = $1.25

Joey's average speed using the city street route = 36 miles per hour

Number of hours to get to work using the city street route = 1 hour

Relevant data for highway driving total costs:

Cost of a gallon of gas = $3.05

Distance travelled per gallon on the highway = 35 miles

Joey's average speed using the highway = 54 miles per hour

Number of hours to get to work using the highway = 0.5 hours

Toll on the highway = $1.25

Total costs for using the highway = $1.25 + ($3.05/35 * 54 * 0.5) = $3.60

Answer:

A, B, D, F, H

Step-by-step explanation:

The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees based on the region of the country the warehouse is located. She randomly selects 35 employees who work in warehouses on the East Coast (Group 1) and 35 employees who work in warehouses in the Midwest (Group 2) and records the number of parts shipped out from each for a week.
She finds that East Coast group ships an average of 1276 parts and knows the population standard deviation to be 347.
The Midwest group ships an average of 1439 parts and knows the population standard deviation to be 298.
Using a 0.01 level of significance, test if there is a difference in productivity level. What is the test statistic?
(Round to 4 decimal places)
z =
please use excel to solve

Answers

Answer:

The test statistic is z = -2.11.

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Group 1: Sample of 35, mean of 1276, standard deviation of 347.

This means that:

[tex]\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537[/tex]

Group 2: Sample of 35, mean of 1439, standard deviation of 298.

This means that:

[tex]\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712[/tex]

Test if there is a difference in productivity level.

At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So

[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the two samples:

[tex]X = \mu_1 - \mu_2 = 1276 - 1439 = -163[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-163 - 0}{77.3144}[/tex]

[tex]z = -2.11[/tex]

The test statistic is z = -2.11.

Find the surface area of the hemisphere 6cm

Answers

Answer:

452.4 cm^2

Step-by-step explanation:

[tex]a = 4\pi {r}^{2} \\ a = 4 \pi \times (6)^{2} \\ a = 452.4 \: cm^{2} [/tex]

I hope that is useful for you :)

!!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the solution to the equation 7.5 minus X =2.8?
Image above

Answers

Answer: A

Step-by-step explanation:

4.7+2.8 = 7.5

And

7.5 -4.7 = 2.8

Determine the volume if the figures below round to the nearest hundredth

Answers

Answer:

48 m³

4,186.67 km³

Step-by-step explanation:

volume of pyramid =

⅓×6×6×4 = 48 m³

volume of ball =

4/3 × 3.14 × 10³ = 4,186.67 km³

In a psychology class, 60 students have a mean score of 96.9 on a test. Then 19 more students take the test and their mean score is 71.3.

What is the mean score of all of these students together? Round to one decimal place.
Help please, and thank you! C:

Answers

Answer:83.3

Step-by-step explanation:

Which statement is true for the values of Pand Q on this number line? + Q + -2 1 -4 -3 0 1 A 응 4 B. PxQ5 C P+Q> -4 D P - Qo​

Answers

The correct answer is C hope this helps :)

50 points!!!!! need answer ASAP

Answers

Answer:

the first option

Step-by-step explanation:

i believe

Write the algebraic expression: 4p times the sum of 7 and 5p​

Answers

Answer:

4p(7 + 5p)

Step-by-step explanation:

4p times the sum of 7 and 5p​

4p(7 + 5p)


Which graph represents the equation y=-
--*x+3?
B)
t

Answers

Answer:

The correct answer would be the 3rd graph!

Hope this helps!

what is the volume of a bow with a width of 3/2 inches a length of 5/2 inches and a height of 4 inches

Answers

Answer:

v=LxWxH

v= 3/2x5/3x4

v=15/6x4

v=10in³

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