Mathematics College

f(x) = x^2 is stretched vertically by a factor of 4 and shifted 1 unit down.

equation = ???

F(x) = X^2 Is Stretched Vertically By A Factor Of 4 And Shifted 1 Unit Down.equation = ???

Answers

Answer 1

Answer:

f(x) = 4x² - 1

Step-by-step explanation:

The given function is; f(x) = x²

Now, when stretched vertically by a factor of 4, we have;

f(x) = 4x²

It's now shifted 1 unit down.. Thus, the final function will be;

f(x) = 4x² - 1

Related Questions

sin 0
4. Find tan0 .
A.
B.
C.
D.

Answers

Answer:

A

Step-by-step explanation:

Answer:

D. 9/40 would be the answer.

Step-by-step explanation:

formula

sinQ= opp/hyp (9/41)

TanQ= opp/adj (which mean 9 /40)

2 1/3 x 4 4/5as a fraction

Answers

Answer:

11 1/5

Step-by-step explanation:

2 1/3 × 4 4/5

=7/3 × 24/5

=56/5

=11 1/5

(2, 4) after a reflection over the x-axis?

Answers

(2,-4) is the reflection of the x-axis

to make 20 pancakes you must use 7 eggs. How many eggs are needed to make 54 pancakes?

Answers

Answer:

18.9 eggs

Step-by-step explanation:

54÷20= 2.7

2.7 ×7=18.9

The answer is 18.9 Hope this helped Sorry but it was really easy.

A school had decided to hire a new vice principal. A recent issue 4 of the NEA magazine stated that the average vice principal salary s for a school of similar size is $60,000. At the request of the Board of Education, the principal conducts his own survey of vice principal's salaries. His survey of 25 schools revealed an average salary or $72,000 and a standard deviation of $9,000. Perform a hypothesis test at a 5% significance level to test the magazine's claim.

Required:
a. What is the appropriate sampling distribution to use?
b. State the null and alternative hypotheses.
c. State the decision rule at a significance level of 5% show all calculations
d. Illustrate all key numbers and areas on a graph.
e. What decision should the school principal make?
f. What type of error can possibly be made with the decision in part (e)?
g. What is the value of the Maximum Tolerable Error for this problem?

Answers

Answer:

1.) t - distribution

2.) H0 : μ = 60000 ; H1 : μ > 60000

3.) P < α (Reject Null) ; P > α (fail to reject Null)

4.) Reject H0

Type 1 error

Step-by-step explanation:

Null hypothesis, H0 : μ = 60000

Alternative hypothesis, H1 : μ > 60000

Decison rule at 5% significance ;

P < α (Reject Null)

P > α (fail to reject Null)

Xbar = 72000 ; std = 9000

Test statistic :

(Xbar - μ) ÷ (std / sqrt(n))

(72000 - 60000) ÷ (9000 / sqrt(25))

12000 ÷ 1800

Test statistic = 6.667

Using the Pvalue calculator from test statistic :

Test statistic = 6.667 ; df = 24 - 1 = 24

Pvalue = 0.00001

Pvalue < α ; Hence, we reject the Null

Type 2 error : This means accepting a Null hypothesis that should be rejected.

solve the equation -3(w+12)=-16

Answers

Exact form: -20/3
Decimal form: -6.6
Mixed number form: -6 2/3

A restaurant bill is $21. You leave a 15% tip. Which of the following represents the amount a customer pays including the tip of 15% if the bill was dollars?

a. 0.15b
b. 15b
c. b + 0.15b
d. 1.15b
e. 1.015b
f. b + 15/100b
g. b + 0.15

Answers

The answer is C hope this helps :)

64th term of arithmetic sequence 29,38,47

Answers

Answer:

596

Step-by-step explanation:

Each term of the arithmetic sequence is 9 greater than the previous term.

Since the first term is 29, then 29+9 = 38, the second term in the sequence.  Likewise, the third term, 47, is 9 greater than the previous term, 38.  47 is also 2(9) greater than the first term, 29.

Therefore, finding the 64th term in the sequence would be the same thing as adding 9 to the first term (29) a total of n-1, or 64-1 times. Instead of adding, one can simply multiply 29 by 63, since 64-1 = 63.

29 + 63(9)

= 29 + 567

= 596

So, the 64th term of the arithmetic sequence is 596.

paul wanted .6 of a candy bar. He cut it into 10 equal piees. how many pieces did he take to get .6 of the candy bar

Answers

Answer:

6 pieces.

Step-by-step explanation:

A candy bar is  a value of 1.

1/10 = 0.1

0.6/0.1 = 6

6 pieces is the answer

A 30°- 60°- 90° triangle is shown below. Find the length of a and b. * leave the answer in simplified radical form*

Answers

Step-by-step explanation:

a = 12√3

b = 24

hope this helps

Find the degree of the monomial (question in image)

Answers

im pretty sure the answer is 13! :)

Answer:

The answer to this question is 13

The circumference of the base of a
5
-foot-high cylinder is
46
inches. What is the volume of the cylinder?

Answers

Answer:

V≈33238.05

Step-by-step explanation:

The circumference of the cylinder base is

= ( 2 )*(pi)*( r ) cm where r = radius of the circular base.

That is ( 2 )(pi)( r ) = ( 44 )cm or

( radius ) = [ (44/((2)(pi)) ] = ( 7.0064 )cm.

I have approximated ( pi ) as ( 3.14 ) for this calculation.

The area of the cylindrical base is ( pi )*( radius )^2

Therefore area of the base

= ( 3.14 )*( 7.0064 )^2 =( 154.1415 )cm squared.

Volume of Cylinder

Volume = Atea of the base multiplied by cylinder height or

= ( 154.1415 ) * ( 7 )

= ( 1079.0 ) cubic centimeters approximately with some slight loss inaccuracy due to rounding of pi.

Lateral Surface Area

The lateral surface area = circumference of the cylindrical base multiplied by the height of the cylinder.

= ( 44 )*( 7 ) = ( 308 ) cm squared

Inherent Assumption

It is assumed that the thickness of the cylinder material is small and the cylinder doesn't overlap the area of the base. If it did, the lateral surface area calculated here might be understated slightly.

What is the solution of the equation 3/4x + 5 = -9 ?

Answers

Answer:

x =  -56/3

And that will be ur answer

HELP PLEASEE no links hellpp
Select all the shapes that do not have perpendicular sides.
A. Square
B. Equilateral triangle
C. Rectangle
D. Right triangle
E. Acute triangle

Answers

Answer:

B and E

Step-by-step explanation:

perpendicular sides mean they will equal 90 degrees... so all rectangles and squares are perpendicular- a 90 degree triangle also is perpendicular. The Equatorial and the Acute triangle do not have 90 degree angles

4x-3=9 what does x equal show work

Answers

Answer:

x = 3

Step-by-step explanation:

4x - 3 = 9

4x = 9 + 3

4x = 12

x = 12/4

x = 3

g(x)=2x-x when x=-5
What is the answer to this please solve

Answers

9514 1404 393

Answer:

  -5

Step-by-step explanation:

The given linear equation simplifies to ...

  g(x) = 2x -x

  g(x) = x

For x = -5, this is ...

  g(-5) = -5

giving brainliest !!!!!

Answers

Answer:

400mm

Step-by-step explanation:

20x20=400

Find the value of x.

Answers

Answer:

x = 63

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 62 + 55 = 180

x + 117 = 180

x = 180 - 117

x = 63

Point Q was rotated about the origin (0,0) by -165​

Answers

Answer:D

Did it on khan academy

.
A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75. If 1,042 total fares were paid, which system of linear equations can be used to find , the number of regular fares paid, and , the number of reduced fares paid?

Answers

Answer:

[tex]x + y = 1042[/tex]

[tex]1.5x + 0.75y = 1140[/tex]

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of regular fares paid.

y is the number of reduced fares paid.

1,042 total fares were paid

This means that [tex]x + y = 1042[/tex]

A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75.

This means that:

[tex]1.5x + 0.75y = 1140[/tex]

System of equations:

The system of equations is:

[tex]x + y = 1042[/tex]

[tex]1.5x + 0.75y = 1140[/tex]

The circumference of a circle is 119.32 in what is the diameter of the circle?

Answers

Answer:

38

Step-by-step explanation:

119.32/3.14 since 3.14 is pi and c=pi*d

Answer:

d≈37.98

Step-by-step explanation:

C=2πr

d=2r

Solving for d

d=C

π=119.32

π≈37.98074

1. Of the 100 fourth-grade students at Patterson Elementary, 57 are girls. What portion of the fourth-grade class at Patterson elementary is female? Express your answer as a decimal.​

Answers

Answer:

girls 57/100 57% 0.57

Step-by-step explanation:

boys 43/100 43% 0.43

all the ways

The portion of girls in the fourth grade class will be 57/ 100 and in the decimal form it will be 0.057.

It is given that there are total 100 students at a school in fourth grade out of which 57 are girls.

We have to find out the portion of girls in the fourth grade class and express it to decimal.

What is the decimal fractions ?

Decimal fractions are the fractions in which the denominator must be 10 or a multiple of 10 i.e., 100, 1000, 10000, and so on.

As per the question ;

57 are girls out of total 100 students in a class at a school.

The number of boys will be ;

= 100 - 57 = 43

The no. of girls in fraction form will be ;

= 57 / 100

and in the decimal form it will be ;

= 0.057

The no. of boys in decimal form will be ;

= 47 / 100

= 0.047

Thus , the portion of girls in the fourth grade class will be 57/ 100 and in the decimal form it will be 0.057.

To learn more about fraction and decimal form click here ;

https://brainly.com/question/2094121

#SPJ2


Find the midpoint of the line segment with end coordinates of:
(-2,-4) and (-1,-5)
Give coordinates as decimals where appropriate.

Answers

Answer:

The midpoint of this line segment is (-1.5, -4.5).

Step-by-step explanation:

In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:

                                             -2 -1

x-coordinate of midpoint = --------- = -3/2 = -1.5

                                                 2

                                              -4 -5

y-coordinate of midpoint = ---------- = -4.5

                                                   2

The midpoint of this line segment is (-1.5, -4.5).

In a bag are 3 red, 9 blue, 2 yellow and 3 green marbles. If you draw out a marble at random, what the probability that you will draw a blue marble? P(blue)

Question 2 options:

3/17


9/17


2/17


14/17

Answers

Answer:

9/17

Step-by-step explanation:

there are 17 marbles in total 9 of them are blue therefore, 9/17 is the correct answer

Choose the graph of the following function:
f(x) = 2 cos(3x)
Graph A
-4
Graph B
4
3
MAAILMA

Answers

Answer:

Graph B

Step-by-step explanation:

Let take a look of original graph, cos(x)

The amplitude of that graph is 1.

The ampictude of both graphs is 2 so that means the amplitude transformation, 2 has been applied.

We need to find the x intercept.

[tex] \cos(0 ) = 1[/tex]

so

[tex]2 \cos(3(0)) = 2[/tex]

The graph should intersecting at point

0,2 so the answer is

Graph B

Answer:

B on edge

Step-by-step explanation:

Find the conjugate and product of the following surds

1) i3 + i5
2) i3 + 9
3) - i2 + 1
4) - 3 + iy​

Answers

Answer:

(1) Conjugate = -i8

(2) Conjugate = -i3+9

(3) Conjugate = i2+1

(4) Conjugate = -3-iy

Step-by-step explanation:

From the question,

Conjugate of a surd is formed by changing the sign between a rational number and a surd in an expression.

The conjugate of a surd is obtained by changing the sign of the surd in the expression.

Given

(1) i3+i5 = i8

Conjugate is -i8

(2) i3+9

Conjugate is -i3+9

(3) -i2+1

Conjugate is i2+1

(4) -3+iy

Conjugate is -3-iy

Multiplying Integers

-5(-2)=

Answers

Answer:

10

Step-by-step explanation:

Hope this helps

Answer:

10

Step-by-step explanation:

-5(-2)

negative times negative in multipling and divding the answer is always a positive

What is the volume of the rectangular prism 1.5" by 1" by 3.5"

Answers

Answer:

5.25

Step-by-step explanation:

help me dont put links while answering question

Answers

Answer:

It's A, 3.82

Step-by-step explanation:

the decimal table goes up to left

15
12
П
[Not drawn to scale)
What is the area of the reduced rectangle?

Answers

1.8; multiply 15 and 12 by 0.1. so you will have 1.5 and 1.2 and then multiply those answers together to get 1.8
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