Write a rule for g described by the transformations of the graph of f.
Let g be a horizontal shrink by a factor of 3/7, followed by a translation 5 units left
of the graph of f(x)=(21x)^1/2

Answers

Answer 1

Answer:[tex]g(x)=\frac{3}{7}(21(x+5))^{1/2}[/tex]

Step-by-step explanation:

Transformation rule:

Shifting by k units left : [tex]f(x)\to f(x+5)[/tex]

Dilation by a factor of h units: [tex]f(x)\to hf(x)[/tex]

Let g be a horizontal shrink by a factor of 3/7, followed by a translation 5 units left  of the graph of [tex]f(x)=(21x)^{1/2}[/tex]

The rule for g described by the transformations of the graph of f. : [tex]g(x)=\frac{3}{7}(21(x+5))^{1/2}[/tex]


Related Questions

PLEASEE HELP WITH THIS IMAGE!! WILL GIVE BRAINLIEST!!!!

Answers

Step-by-step explanation:

area of the triangle

1/2xbxh

1/2(12x9)

1/2(108)

area of triangle is 54in²

area of rectangle

2(L+W)

2(15+6)

2(21)

area of rectangle is 42in²

Total area is 96in²

Answer:

323

This link could help u understand:

https://www.you tube.com/watch?v=HtXPpqKud5U

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD

In parallelogram HJKL if m

Answers

Answer:

24

Step-by-step explanation:

if you add all of them together u get 108 divide it by 44 and u get 24

Answer:

70

Step-by-step explanation:

∠J and ∠K are supplementary angles

Supplementary angles have a sum of 180°

Thus, ∠J + ∠K = 180

110 + ∠K = 180

subtract 110 from each side

180 - 110 = 70

110 - 110 cancels out

we're left with ∠K = 70°

A shop has a sale and reduces all its prices at the rate of 15k in naira. Find the sale price of an article marked at 740 naira. ​

Answers

Answer:

Sales price of article = 629 naira

Step-by-step explanation:

Given:

Discounted rate = 15%

Marked price of article = 740 naira

Find:

Sales price of article

Computation:

Sales price of article = Marked price of article [1 - Discounted rate]

Sales price of article = 740[1 - 15%]

Sales price of article = 740[1 - 0.15]

Sales price of article = 740[0.85]

Sales price of article = 629 naira

∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x + 18 ) ∘ ∠A=(2x+18) ∘ and m ∠ B = ( 6 x − 8 ) ∘ ∠B=(6x−8) ∘ , then find the measure of ∠ B ∠B

Answers

Answer:

Step-by-step explanation:

in complementary angles sum of two angles is always 90 degree .

2x+18+6x-8=90

8x+10=90

8x=90-10

x=80/8

x=10

angle B=6x-8

=6*10-8

=60-8

=52 degree

therefore angle B is 52 degree

Consider the diagram below with parallel planes D and N.

Which of the following statements about the figure are true? Select all that apply.

FA is a line, line segment, and a ray.

Lines rands are perpendicular,
Ray RO and Ray CA form an angle.

A FA is a line, line segment and a ray
B lines r and s are perpendicular
C Ray RO and Ray CA form an angle
D M and C are Collin war and coplanar
E F, O, and R are coplanar in D
F Ray MC and Ray CA form a 90 degree angle
G using segment addition postulate, FO + OC = FA

Answers

Answer:A

Step-by-step explanation:line segment

MARKS BRAINLISET
PLEASEE HELPPP

Answers

Answer:

One student has lived in 7 states

Step-by-step explanation:

It’s one student has lived in 7 states

2 1/8 - 1/2


PLEASE TELL ME STEP BY STEP AS FAST AS POSSIBLE

THANK YOU!

Answers

[tex]2\frac{1}{8} - \frac{1}{2} = \frac{8*2+1}{8} - \frac{1}{2} = \frac{17}{8} - \frac{1}{2} = \frac{17}{8} - \frac{1*4}{2*4} = \frac{17}{8} - \frac{4}{8} = \frac{17-4}{8} = \frac{13}{8} = 1\frac{5}{8}[/tex]

You deposit $6000 in an account that earns 3% annual interest. Find the balance after 6 years if this interest is
compounded with the given frequency.

Answers

end amount would be $7,164.31

56. What is the domain and range of the
graph below?

Answers

9514 1404 393

Answer:

domain: x ≥ -5range: y ≥ -1

Step-by-step explanation:

The graph of this square root function extends upward and to the right of the point (-5, -1). The domain is the horizontal extent of the graph, so is ...

  x ≥ -5

The range is the vertical extent of the graph, so is ...

  y ≥ -1

In the diagram, △ABC∼△DEF. The area of △ABC is 12 square inches. Find the area of △DEF

Answers

Answer:

A=3

Step-by-step explanation:

so the scale factor from ABC to DEF is 1/4. so 8*1/4 is 2 which is what they give us. so 12 *1/4 would be 3. The area of DEF is 3.

I NEED HELP ASAP!!! What is the value of a?

Answers

9514 1404 393

Answer:

  C.  17.25

Step-by-step explanation:

The product of distances from the common point to the two circle intersection points is the same for each secant.

  5(5+12) = 4(4+a)

  69 = 4a . . . . . . . . subtract 16, simplify

  17.25 = a . . . . . . . divide by 4

Find w(-5) given the function:
w(t) = 3t - 1

Answers

Answer:

-16

Step-by-step explanation:

Replace all t with -5:

w(t) = 3t - 1

w (-5) = 3(-5) - 1

w(-5) = -16

Answer:

-16

Step-by-step explanation:

The coordinates of the vertices of parallelogram MATH are M(-7,5), A(6,5), T(4,-2), and H(-9,-2). What are the coordinate of G, the point of intersection of diagonals MT and ?

Answers

Answer:

[tex]G = (-1.5,1.5)[/tex]

Step-by-step explanation:

Given

[tex]M = (-7,5)[/tex]

[tex]A = (6,5)[/tex]

[tex]T = (4,-2)[/tex]

[tex]H = (-9,-2)[/tex]

Required

Determine the coordinate of G

From the complete question, G is at the intersection of MT and AH.

So, G is calculated using midpoint formula

[tex]G = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]

For MT:

[tex]M = (-7,5)[/tex]      [tex]T = (4,-2)[/tex]

[tex]G = \frac{1}{2}(-7 + 4, 5 -2)[/tex]

[tex]G = \frac{1}{2}(-3, 3)[/tex]

Open bracket

[tex]G = (-1.5,1.5)[/tex]

To show that [tex]G = (-1.5,1.5)[/tex]

We have:

[tex]A = (6,5)[/tex]       [tex]H = (-9,-2)[/tex]

[tex]G = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]

[tex]G =\frac{1}{2}(6-9,5-2)[/tex]

[tex]G = \frac{1}{2}(-3, 3)[/tex]

Open bracket

[tex]G = (-1.5,1.5)[/tex]

Hence, the coordinates of G is:

[tex]G = (-1.5,1.5)[/tex]

please help version 2

Answers

Answer:

16°

Step-by-step explanation:

2x° + 6° = 38°

x° = (38°- 6°)÷2=16°

Verify that each equation is an identity (1 - sin^(2)((x)/(2)))/(1+sin^(2)((x)/(2)))= (1+cosx)/(3-cosX)

Answers

Answer:

Given that we have;

[tex]sin \left (\dfrac{x}{2} \right ) = \sqrt{\dfrac{1 - cos (x)}{2} }[/tex]

By the application of the law of indices and algebraic process of adding a and subtracting a fraction from a whole number, we have;

[tex]\therefore \dfrac{\left ( 1 - sin^2 \left (\dfrac{x}{2} \right ) \right )}{\left ( 1 + sin^2 \left (\dfrac{x}{2} \right ) \right )} =\dfrac{\left ( \dfrac{1 + cos (x)}{2} \right)}{\left (\dfrac{3 - cos (x)}{2} \right ) } =\dfrac{\left ( 1 + cos (x))}{(3 - cos (x))}[/tex]

Step-by-step explanation:

An identity is a valid or true equation for all variable values

The given equation is presented as follows;

[tex]\dfrac{\left ( 1 - sin^2 \left (\dfrac{x}{2} \right ) \right )}{\left ( 1 + sin^2 \left (\dfrac{x}{2} \right ) \right )} =\dfrac{\left ( 1 + cos (x))}{(3 - cos (x))}[/tex]

From trigonometric identities, we have;

[tex]sin \left (\dfrac{x}{2} \right ) = \sqrt{\dfrac{1 - cos (x)}{2} }[/tex]

[tex]\therefore sin^2 \left (\dfrac{x}{2} \right ) = \dfrac{1 - cos (x)}{2}[/tex]

[tex]1 - sin^2 \left (\dfrac{x}{2} \right ) = 1 - \dfrac{1 - cos (x)}{2} = \dfrac{2 - (1 - cos (x))}{2} = \dfrac{1 + cos (x))}{2}[/tex]

[tex]1 + sin^2 \left (\dfrac{x}{2} \right ) = 1 + \dfrac{1 - cos (x)}{2} = \dfrac{2 + 1 - cos (x))}{2} = \dfrac{3 - cos (x))}{2}[/tex]

[tex]\therefore \dfrac{\left ( 1 - sin^2 \left (\dfrac{x}{2} \right ) \right )}{\left ( 1 + sin^2 \left (\dfrac{x}{2} \right ) \right )} =\dfrac{\left ( \dfrac{1 + cos (x)}{2} \right)}{\left (\dfrac{3 - cos (x)}{2} \right ) } =\dfrac{\left ( 1 + cos (x))}{(3 - cos (x))}[/tex]

[tex]\therefore \dfrac{\left ( 1 - sin^2 \left (\dfrac{x}{2} \right ) \right )}{\left ( 1 + sin^2 \left (\dfrac{x}{2} \right ) \right )} =\dfrac{\left ( 1 + cos (x))}{(3 - cos (x))}[/tex]

A diagram shows a kite and its frame.

Answers

Answer:

indeed it does

Step-by-step explanation:

wheres the diagram exactly?

A TV weather channel reports a 35% chance of rain today.
What is the probability that it will not rain today?​

Answers

Answer:

There is a 65% chance it will not rain

Step-by-step explanation:

The probability must add to 100%.  There are two choices: it will rain or it will not rain

100-35% = 65%

There is a 65% chance it will not rain

Answer:
65%

Explanation:
100%-35%=65%

15 point:Which label on the cone below represents the center of the base?

Answers

Answer:its C because the base is the bottom of the figure and C goes to the middle point at the bottom of the figure

Step-by-step explanation:

A hat's original price was $50. It is on sale for 40%0ff. How much does it cost?

Answers

Answer:

30

Step-by-step explanation:

40/100 x 50= 20

50-20=30

Answer:

30.00

Step-by-step explanation:

What is the value of x in the diagram below??

Answers

Answer:

2.6

Step-by-step explanation:

Just divide 5 by 13 to get 2.6 then times 5 and 2.6 is 13

Triangle EFG is dilated by a scale factor of one half centered at (1, 1) to create triangle E'F'G'. Which statement is true about the dilation?

Answers

Answer:

A triangle is dilated by scale factor of 1/5

Step-by-step explanation:

A triangle has three sides. All the corresponding angles of triangle must be congruent. When the triangle is dilated it is rotated 90 degrees clockwise about its origin. The shape of the triangle will not change due to rotation of dilation.

The diameter of a circle is 22 meters. What is the circle's area?

Answers

Answer:

Step-by-step explanation:

A=3.14 x 22m x 22m

A=69.08m x 22m

A=1519.76m2 (squared po yan)

Find the value of x ​

Answers

Answer:

11

Step-by-step explanation:

[tex]\left(6x+4\right)+10x=180[/tex]

[tex]16x+4-4=180-4[/tex]

[tex]16x=176[/tex]

[tex]\frac{16x}{16}=\frac{176}{16}[/tex]

[tex]x=11[/tex]

Which sentence represents m > 417
A-Mary's points, m totaled

B- Calvin ran no less than 41
more than 41
mm

C-The temperature, m, was

D-The magazines' cost, m.
less than 41

Answers

Answer: F

Step-by-step explanation:

Because it’s F

An suv goes 330 miles on 15 gallons of gas, what is the number of miles per gallon the suv gets?

Answers

Answer:

22

Step-by-step explanation:

330/15 = 22

Write an equation in slope intercept form of the line that passes through the points

Answers

Answer:

B

Step-by-step explanation:

Y=MX+C , where y=slope intercept, m=gradient and C=y-intercept

-5=6(-6)+c

-5=-36+c

-5+36=c

C=31

Hence,

y=MX+c

y=6x+31

Consider the sequence:-2, -10,-50,-250, ...
Find the next term in the sequence

Answers

Answer:

-1,250

Step-by-step explanation:

its multiplying by 5

Answer:

Next term = -1250.

Step-by-step explanation:

Difference = x5

-250 x 5 = -1250.

If five shirts cost $106.25, what is the cost of two shirts?
a
$42.50
b
$63.75
c
$85
d
$40

Answers

Your answer would be 42.5.

Divide 106.25 by 5 (which is 21.25) then multiply 21.25 by 2.

can some help 10 points and brainllest for the first answer

Answers

Answer:

1. 24w+8

2. 4s+28t

3. 150-75b

Select the correct answer.
Which graph represents a function?

Answers

Answer:

B

Step-by-step explanation:

graph A does not appear to pass the 'vertical line test'

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