y = f(x). Replace, in the following order: x with – 1/5x,
x, x with x – 1, and y with
1/3y. Describe the transformation in terms of the function and in terms of its effect on the graph.

Answers

Answer 1

Answer:

y = 3f(-1/5x + 1/5)

The function is

vertical stretched by a factor of 3reflected across y-axishorizontal stretched by a factor of 5horizontal translated to the left 1/5 units

Step-by-step explanation:

Starting with: y = f(x)

Replacing x with -1/5x: y = f(-1/5x)

Replacing x with x - 1: y = f(-1/5(x - 1)) = f(-1/5x + 1/5)

Replacing y with 1/3y: 1/3y = f(-1/5x + 1/5) or y = 3f(-1/5x + 1/5)

The transformation:

kf(x) vertically stretches the function by a factor of k (here k is 3) f(-x) reflects the function across y-axisf(bx) horizontally stretches the function by a factor of 1/b (here b is 1/5)f(x + c) horizontally translates the function left c units (here c is 1/5 units)

Related Questions



Suppose f(x) = x2 and g(x)= (1/4x)2Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) shifted į units right.
B. The graph of g(x) is the graph of f(x) horizontally compressed by a
factor of 4
C. The graph of g(x) is the graph of f(x) vertically stretched by a
factor of 4.
D. The graph of g(x) is the graph of f(x) horizontally stretched by a
factor of 4.

Answers

Answer:

B.

Step-by-step explanation:

Since the variable b is manipulated in f(x) = a(bx - h)² + k, we are dealing with horizontal compression and stretching. Since b < 1, that means the graph is being horizontally compressed.

the number 4,928 will be rounded to the nearest hundred. what is the rounding digit​

Answers

Answer:

4928 rounded to the nearest hundred is:

4900

Step-by-step explanation:

Hope this hepls you!!

The number 4,928 will be rounded to the nearest hundred is 4900.

What is rounding off numbers?

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.

Given to round off 4928 to the nearest 100

steps to round off,

Determine the two consecutive multiples of 100 that bracket 4928

4928 is between 4900 and 5000

4950 is the midpoint between 4900 and 5000

from the number line, 4928 is less than the midpoint 4950,

Therefore, 4928 rounded to the nearest 100 is 4900.

Hence the digit is 4900.

Learn more about rounding off numbers;

brainly.com/question/13391706

#SPJ2

to make it easier to explain you can say. Number 1 box is 57 number 2 box is77 something like that

Answers

Answer:

Box 1=5 Box2=6 Box3=8 Box4=200

Step-by-step explanation:

Answer:

Step-by-step explanation:

No.of balloons each will get = 5

no.of greeting cards = 6

no.of apples in each basket = 8

no. of words = 200words

hope it helps

I honestly don't know how to explain this further

Answers

Answer:

24

Step-by-step explanation:

divide 65/8 and then multiply that by 3 and round to the nearest whole number

It’s b 24 that’s your answer

Parents sold 275 tickets for a fundraiser at the community center. Student tickets cost $3, and adult tickets cost $5. The total value of tickets sold is $1,025. Which system of equations represents the problem? 3x + y = 275 x + 5y = 1025 y = 275 3x + y = 1025 x + y = 275 3x + 5y = 1025 y = x + 275 x + y = 1025

Answers

Answer:

3x+5y=1025

x+y=275

Step-by-step explanation:

We can use system of equations to solve this problem. Let's use x for student tickets and y for adult tickets.

Equation 1

3x+5y=1025

This equation comes from the cost of tickets. Each child ticket costs $3 and each adult ticket costs $5. The total value of tickets sold is $1025.

Equation 2

x+y=275

The total amount of tickets sold was 275.

Help ASAP! Will name brainliest! Questions: Maximize the objective function P = 5x + 7y for the given constraints. x ≥ 0 y ≥ 0 2x + 3y ≤ 18 5x + 2y ≤ 23 Answers: 52, 43, 23, 30

Answers

Answer:

43

Step-by-step explanation:

In a class full of men and women, [tex]\frac{2}{9}[/tex] of the class are women. What is the ratio of men to women in its simplest form?

Answers

Answer:

Hey there!

Let's pretend that there are only 9 people in that class. Thus, if 2/9 were women, then 2 people would be women.

Thus, 7 people would be men.

The ratio of men to women would be 7:2.

Hope this helps :)

HELP ME OUT PLEASE!! -Find the number: 25% of a number is a lb.

Answers

Answer:

I’m going to generalise the answer in the hope of preventing a billion questions with the % changed a little.

If you have a calculator X% just means multiply by X and divide by 100.

If you don’t have a calculator or paper handy, you can split the problem: I’ll do it for 25% but in this case the other answers are simpler.

25%=10%+10%+5%.

Now 10% is easy, just move the decimal one place to the left, for instance 35 becomes 3.5.

5% is half of 10% 3.5/2=1.75

Add it all up: 3.5+3.5+1.75= 8.75. Done.

You don't even need to know multiplication above 5x tables, for instance

37% is 10%+10%+10%+7% but that requires multiplying by 7.

37% is also 10%+10%+10%+10% -3% only requiring 3x table.

I'm not sure if this is what you mean but here ya go

Answer:25%=

25/100

25/100 * 1/1

100 * 1/25*1=

100/25=

4

Step-by-step explanation:

Help help please....Thanks

Answers

Answer:

Turkey - No

Brazillian - 8160 g     and    Kenyan - 2040

Step-by-step explanation:

45 Min  x  4.4 kg = 198 Minutes

198 Min + 65 Min = 263 Min or 4.38 Hours

------------------------------------

120 cups x Total Grams needed ( 85 g )  = 10200

10200 / 5     as this is a 4 : 1 ratio = 2040

2040 x 4 = 8160

2040 x 1 = 2040

The cost of a car is supposed to be no more than 80% of the value for the next year's
model. If a car costs $14,000, what is the cost of the next year's model?

Answers

Answer:

x  ≥ 17,500

Step-by-step explanation:

To solve this problem, we will follow the  steps below:

let x be the cost of the next year's model

Writing the question in a mathematical format yield

$14,000 ≤ 80% of  x

This implies ;

80% of  x   ≥$14,000

80% ×   x  ≥$14,000

[tex]\frac{80X}{100}[/tex]   ≥  $14,000

multiply both-side of the inequality by 100

[tex]\frac{80X}{100}[/tex]  × 100 ≥  $14,000  × 100

at the left hand-side of the inequality 100 will cancel-out 100 leaving us with just 80x

80x  ≥  $1,400,000

Divide both-side of the equation by  80

80x /80 ≥  $1,400,000/80

x  ≥ 17,500

The height of a window is 0.6 feet less than 2.5 times its width. If the height of the window is 4.9 feet, which equation can be used to determine x, the width of the window? 2.5 x + 0.6 = 4.9 2.5 x minus 0.6 = 4.9 0.6 x + 2.5 = 4.9 0.6 x minus 2.5 = 4.9

Answers

answer

2.5 x-0.6=4.9

Step-by-step explanation:

The height of a window is 0.6 feet less than 2.5 times its width.

If the height of the window is 4.9 feet.

Substitute in [1] we have;

2.5x-0.6 = 4.9

Therefore,  an equation can be used to determine x, the width of the window is, 2.5x-0.6 = 4.9

Answer:

Or B

Step-by-step explanation:

for those you look for letters only

If p(x) = x2 - 1 and 4(x) = 5(x-1), which expression is equivalent to (p - 9)(x)?
5(x - 1) - x2-1
(5x-1) -(x2-1)
(x2 - 1) - 5(x - 1)
(x2-1) - 5x-1​

Answers

Answer:

x^2 - 10 = (p - 9)(x)

Step-by-step explanation:

Please indicate exponentiation with the symbol " ^ ":  p(x) = x^2 - 1.

To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:

(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)

One-quarter of the Math Olympiad participants are two-thirds of the Genius Circle students. Eight Genius Circle students did not participate in the Olympiad. What is the total number of students who participated in the Math Olympiad?'

Answers

Answer: First let’s find how many student are in Genius Circle and we assume it’s Y
Then we have the equation:
2/3Y + 8 = Y
8 = 1/3Y
8 x 3 = Y
24=Y
Now that we know what is Y we can substitute: 2/3Y = 2/3 x 24 = 16
If 16 of the Genius Circle participants equal to 1/4 of the participants of the Math Olympiad which mean:
1/4 = 16
4/4 = 16 x 4
4/4 = 64
And so the answer for the total number of the participant in the Math Olympiad is 64.

Answer:

64

Step-by-step explanation:

This question is actually not hard just requires careful calculations.

So we know that 1/4 of MO (Math Olympiad) = 2/3 of GC (Genius Circle)

It also gives that 8 GC Members did not go to MO

So using these statements, we can find that

a. 1/3 of GC = 8 members --> and

b. 2/3 of GC = 16 which makes -->

c. 1/4 of MO = 16

Using these statements we can simply calculate 16 x 4 = 4/4 = 1

1 = Total amt. of participants in the MO => 16(4)

64

Hope this helps!

Evaluate the following expression when x = 6 and y = 2: Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator. 2.25 5.5 17.25 27.5

Answers

Answer:

Option B.

Step-by-step explanation:

The given expression is

[tex]\dfrac{x^2+y^3}{2+x}[/tex]

We need to find the value of given expression when x=6 and y=2.

Substitute x=6 and y=2 in the given expression.

[tex]\dfrac{x^2+y^3}{2+x}=\dfrac{(6)^2+(2)^3}{2+(6)}[/tex]

                   [tex]=\dfrac{36+8}{8}[/tex]

                   [tex]=\dfrac{44}{8}[/tex]

                   [tex]=5.5[/tex]

The value of given expression is 5.5 when x=6 and y=2.

Therefore, the correct option is B.

Answer:

he given expression is

We need to find the value of given expression when x=6 and y=2.

Substitute x=6 and y=2 in the given expression.

                   

                   

                   

The value of given expression is 5.5 when x=6 and y=2.

Therefore, the correct option is B.

Step-by-step explanation:

13/4-1=

2 1/4
1 1/2
2 1/2
1 1/4

Answers

Answer:

2 1/4

Step-by-step explanation:

13/4 is 3 1/4 because 13 divided by 4 is 3 with a remainder of 1. So from there you subtract 1 from the whole number 3 and are left with 2 1/4. I hope that makes sense! :)

Answer:

2 1/4

Step-by-step explanation:

13/4 = 3 1/4

1 = 1

3 - 1 = 2 1/4

A factory can work its employees no more than 6 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve
the inequality to determine the range in hours if the work day is 6.5 hours. Show all of your
work.

Answers

Answer:

Step-by-step explanation:

Answer: A.) 2 <= X <= 6

B.) 13 < = X < = 39

Step-by-step explanation:

Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week

And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.

Let X represent the number of days an employee can work per week.

According to the first statement,

X < = 6

According to the second statement,

X >= 2

An inequality to represent the range of days an employee can work will be

2 < = X <= 6

To represent the range in hours, first convert the number of days to hour. Given that an employee can work

1 day = 6.5 hours

2 days = 2 × 6.5 = 13 hours

5 days = 6 × 6.5 = 39 hours

Therefore, the range will be

13 < = X < = 39

Solve -8x+4 ≤ 36

A. x ≥ -4
B. x ≤ 4
C. x ≥ 4
D. x ≤ -4

Answers

Answer:

x≥-4

Step-by-step explanation:

-8x≤36-4

-8x≤32

x≥32/-8 when divide by minus you flip  from≤ to ≥

x≥-4

Answer:

x ≥-4

Step-by-step explanation:

-8x+4 ≤ 36

Subtract 4 from each side

-8x+4-4 ≤ 36-4

-8x ≤ 32

Divide by -8 remembering to flip the inequality

-8x/-8 ≥ 32/-8

x ≥-4


Write each ratio in its simplest form.
A) 9 feet: 4 yards
B) 5 gallons : 8 quarts
C) 800 centimeters: 2 meters

Answers

Answer:

A. 4 yards = 12 ft

9 ft : 12 ft = 3:4

B. 5 gallons = 20 quarts

20 quarts : 8 quarts = 5:2

C. 2 meters = 200 cm

800 cm : 200 cm = 4:1

Answers:

A) 3:4

B) 5:2

C) 4:1

Step-by-step explanation:

Convert 4 yards to feet.

1 yard = 3 feet

4 yards = 12 feet

9 feet : 12 feet

Simplify the ratio.

9/3 : 12/3

3 feet : 4 feet

3 : 4

Convert 8 quarts to gallons.

1 quart = 0.25 gallons

8 quarts = 2 gallons

5 gallons : 2 gallons

5 : 2

Convert 2 meters into centimeters.

1 meter = 100 centimeters

2 meters = 200 centimeters

800 centimeters : 200 centimeters

Simplify the ratio.

4 : 1

Jessica purchased a 600-minute pre-paid phone card and called her sister at college. After talking to her sister "t" minutes, she had less than 600 minutes on her calling card. (a) Write an equation to determine the number of minutes remaining on the card. (b) Now, suppose she talked to her sister for 65 minutes, determine how many minutes she has left on her card.

Answers

Answer:

1) 600-t

2) 600-t=65

=>t=535

Please help me with this question

Answers

Answer:

E.

Step-by-step explanation:

so first you would add 8 to both sides to get

3w = t + 8

then divide both sides by 3

w = (t + 8) / 3

So the answer is E.

Answer: E) w = (t+8)/3

Step-by-step explanation:

Solve for w in terms of t means you have to isolate w.  Thus, simply do the following:

[tex]3w-8=t\\3w=t+8\\w=\frac{t+8}{3}[/tex]

Hope it helps <3

Factor the expression completely.
8x2 - 18

Answers

Answer:

2 ( 2x-3) (2x+3)

Step-by-step explanation:

8x^2 - 18

Factor out a 2

2(4x^2 -9)

Inside the parentheses is the difference of squares

2 ((2x)^2 - 3^2)

We know the difference of squares is (a^2 -b^2) = (a-b)(a+b)

2 ( 2x-3) (2x+3)

Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form

Answers

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

Rewrite f(x) in vertex form

Solution:

f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

          = x^2 + 10x + 25 - 18

          = (x + 5)^ - 18

          = (x - (-5))^2 + (-18)

=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18

What is the length of segment AD.

Answers

Answer:

AD= 5.82 units (3 s.f.)

Step-by-step explanation:

Please see attached picture for full solution.

*skipped these steps in the beginning:

∠ABC +∠ABD= 180° (adj. ∠s on a str. line)

90° +∠ABD= 180°

NY Newsstand has an annual payroll of $288,000. What is the FICA for NY
Newsstand?
A. $22,032
B. $76,500
C. $25,684
O D. $28,800

Answers

Answer:

It is A $288,000

Step-by-step explanation:

Answer:

  A.  $22,032

Step-by-step explanation:

FICA includes both social security tax (6.2%) and Medicare tax (1.45%), for a total tax rate of 7.65%.

  0.0765 × $288,000 = $22,032 . . . FICA tax

Find the volume of a pyramid with a square base, where the area of the base is
5.5 cm² and the height of the pyramid is 6.4 cm. Round your answer to the nearest
tenth of a cubic centimeter.

Answers

Rounded it is 11.7 cubic cm.

helpppppppppp plsssssss

Answers

Hey there! :)

Answer:

a) Blue.

b) 1/2.

Step-by-step explanation:

Find the probabilities for each color:

Blue: 1/8

Yellow: 3/8

Green: 4/8 or 1/2

a) The color that the spinner is the least likely to land on has the smallest probability, which in this instance, is blue.

b) The probability of the spinner landing on green can be determined by:

# of green sections /total

Therefore:

4 / 8

Simplify the fraction:

4 / 8  = 1 / 2.

Answer:

a) Blue

b) 1/2

Step-by-step explanation:

a) The colors on the spinner are blue (B), green (G), and yellow (Y).

(B) = 1/8

(G) = 4/8

(Y) = 3/8

The spinner is least likely to land on the color blue.

b) The probability that the spinner lands on the color green is 4/8. The spinner has 8 equal sections, 4 of the sections are green.

4/8 can be simplified to 1/2.


Jana has £1500 in her bank account.
She has 270 euros of money left from her last holiday and
she wants to put this into her bank account.

The bank will convert the euros into pounds using £1 =
1.1452 euros.

The bank deducts a fee of £0.89 from her savings account
for this conversion.

How much money does Jana now have in her bank
account?

Answers

£99. semoga membantu maksih

Answer:

The answer is 99 dollars

Step-by-step explanation:

Not showing workout...

Just showing how

1) Multiply 1.1452 * 270

2) Multiply 0.89 * 270

3) Subtract the second step from the first step

Hope this helps....

                           Pls mark my ans as brainliest :)

[tex]\frac{y-95}{4} = 1[/tex]

y = _____

Answers

(Y-95/4) x 4 = (1) x 4

Y - 95 = 4
+95 +95

Y= 99

PLZ HELP!! HURRY!!!30POINTS!!

Answers

Answer:

c. We use tan∅ to solve

d. x ≈ 45.64 ft

Step-by-step explanation:

Step 1: Draw out the picture

When we do so, we should be able to see that we are solving for the horizontal leg.

Step 2: Find the trig

tan78° = 214.7/x

xtan78° = 214.7

x = 214.7/tan78°

x = 45.6359

use the elimination method to solve the system of equations. Choose the correct ordered pair. 5x-y=27 and 5x+4y=42​

Answers

Answer:

(6,3)

Option B is the right option.

please see the attached picture for full solution...

Hope it helps....

Good luck on your assignment...

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