[tex]f(x)=\sqrt(x) \\ g(x)=\sqrt((4)/(5)x)[/tex]

Identify a horizontal or vertical stretch or compression of the function f(x)=\sqrt(x) by observing the equation of the function g(x)=\sqrt((4)/(5)x)

A. A vertical compression by a factor of 5/4
B. A horizontal compression by a factor of 5/4
C. A horizontal stretch by a factor of 5/4
D. A vertical stretch by a factor of 5/4

Answers

Answer 1

9514 1404 393

Answer:

  C. A horizontal stretch by a factor of 5/4

Step-by-step explanation:

Replacing x in f(x) by kx introduces a horizontal compression by a factor of k, or a stretch by a factor of 1/k. Here, we have k=4/5, so the curve is stretched horizontally by a factor of 5/4.

[tex]f(x)=\sqrt(x) \\ G(x)=\sqrt((4)/(5)x)[/tex]Identify A Horizontal Or Vertical Stretch Or Compression

Related Questions

QUESTION 14 · 1 POINT
Translate the English phrase into an algebraic expression: 6x less than 81xsquared

Answers

Answer:

Step-by-step explanation:

81x² - 6x

Answer:

81x² - 6x

Step-by-step explanation:

81x² - 6x

Which of these random samples represents a representative sample of the number of students who enjoy science class?
A. 30 students in the lunchroom.
B. 30 students who failed science class last year.
C. 30 students who received high grades in their science class last semester.
D. 30 students who participated in the science fair.

Answers

Answer: A. 30 students in the lunchroom.

Step-by-step explanation:

A representative sample simply refers to the sample that has same characteristics just like the population.

A random-based selection is regarded as a representative of the population. In this case, the random sample that represents a representative sample of the number of students who enjoy science class is "30 students in the lunchroom".

When the students in the lunchroom are chosen, then it's a representation of the entire students in the school. This is the best option when compared to other options as they don't represent the students entirely.

Answer:

30 students in the lunchroom

Step-by-step explanation:

Got it right on the test.

using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equation 10.0y-4.55x=581. where x is the number of years after 2000 what is projected population in 2026?

Answers

Answer:

The projected population in 2026 is of 699.3 million.

Step-by-step explanation:

Population:

The population, in x years after 2000, is given by the follwing equation:

[tex]y - 4.55x = 581[/tex]

That is:

[tex]y(x) = 4.55x + 581[/tex]

What is projected population in 2026?

2026 - 2000 = 26, so this is y(26).

[tex]y(26) = 4.55(26) + 581 = 699.3[/tex]

The projected population in 2026 is of 699.3 million.

Find the size of the of angle x.

Answers

X = 80 degrees

Total degrees in any triangle = 180
Angles given = 65 + 35 = 100
X = 180-100 = 80

Answer:

80 degrees

Step-by-step explanation:

Since a triangle is 180 degrees

you then add to 2 degrees given and subtract it from 180

65+35=100

180-100=80 degrees

Help me out plsssssss

Answers

120 the answer is 120

Answer:

125

Step-by-step explanation:

the bearing of b to a is equal to 85+45

Please help it’s a riddle can you find the correct answer

Answers

I tbh think its 9.9
It’s 9.9 because it is the only one with 9 and not a one hind

Triangle D E F is shown. Angle E F D is a right angle. The length of E F is 24 and the length of D F is 7.
Which trigonometric ratios are correct for triangle DEF? Select three options.


sin(D) = StartFraction 24 Over 25 EndFraction
cos(E) = StartFraction 7 Over 25 EndFraction
tan(D) = StartFraction 24 Over 7 EndFraction
sin(E) = StartFraction 7 Over 25 EndFraction
tan(D) = StartFraction 7 Over 24 EndFraction

Answers

Answer:

Sin(E) = 7/25

Sin(D) = 24/25

Tan(D)= 24/7

Step-by-step explanation:

Sin=opp/hyp

Tan=opp/adj

Cos=adj/hyp

The trigonometric ratios that are correct for triangle DEF are sin(E) = 7/25, sin(D) = 24/25 and tan(D)= 24/7

How to determine the trigonometric ratios?

The given parameters are:

EF = 24

DF = 7

Start by calculating the length DE using:

DE²= EF² + DF²

So, we have:

DE²= 24² + 7²

Take the square root of both sides

DE= 25

The sine of the angles is calculated using:

sin(Ф) = opp/hyp

So, we have:

sin(E) = 7/25

sin(D) = 24/25

The tangent of the angles is calculated using:

tan(Ф) = opp/adj

So, we have:

tan(D)= 24/7

Hence, the trigonometric ratios that are correct for triangle DEF are sin(E) = 7/25, sin(D) = 24/25 and tan(D)= 24/7

Read more about trigonometric ratios at:

https://brainly.com/question/11967894

How to solve this?!?!? (5x+24)(9x+12) + (3x+9)(8x+6)(2x+7)

Answers

Answer and Step-by-step explanation:

First, multiply the parentheses, then add everything together.

-- (5x + 24)(9x +  12)

-- 45[tex]x^2\\[/tex] + 60x + 216x + 288 (Simplify)

-- 45[tex]x^2\\[/tex] + 276x + 288

--- (3x + 9)(8x + 6)

--- 24[tex]x^2\\[/tex] + 18x + 72x + 54 (Simplify)

--- 24[tex]x^2\\[/tex] + 90x + 54

---- (2x + 7)(24[tex]x^2\\[/tex] + 90x + 54)

---- 48[tex]x^{3}[/tex] + 180[tex]x^2\\[/tex] + 108x + 168[tex]x^2\\[/tex] + 630x + 378 (Simplify)

---- 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378

----- 45[tex]x^2\\[/tex] + 276x + 288 + 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378

----- 48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666

48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666 is the final answer.

#teamtrees #PAW (Plant And Water)

Answer:

[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]

Step-by-step explanation:

we would like to simplify the following:

[tex] \rm \displaystyle (5x + 24)(9x + 12) + (3x + 9)(8x + 6)(2x + 7)[/tex]

there're two parts the multiplication the whole part to solve the multiplication part we can consider FOIL and for the whole, PEMDAS which can be represented as

[tex] \rm\displaystyle \rm \displaystyle \underbrace{\underbrace{(5x + 24)(9x + 12) } _{ \text{FOIL - 1}}+ \underbrace{ (3x + 9)(8x + 6)(2x + 7)} _{ \text{FOIL - 2}}} _{ \text{PEMDAS}}[/tex]

let's figure out FOIL-1 part

By FOIL we obtain:

[tex] \displaystyle {45x}^{2} + 60x + 216x + 288[/tex]

simplify addition:

[tex] \displaystyle {45x}^{2} + 276x+ 288[/tex]

let's figure out FOIL-2:

By FOIL and PEMDAS we acquire:

[tex] \rm \displaystyle {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]

finally the whole part

[tex] \rm \displaystyle {45x}^{2} + 60x + 216x + 288+ {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]

combine like terms:

[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]

and we are done!

What is the value of X

A. x=20

B. x=15

C. x=10

D. x=5

Answers

The answer is A) x=20.

This is because (x+5) + (7x-5) + x = 180

Choose all of the symbols that make the following sentence true.


4 ^0 ___ 5 ^-1


=

<







>

Answers

Answer:

≠ and >

Step-by-step explanation:

_________________

0.87 written as a fraction

Answers

Answer:

[tex] \frac{87}{100} [/tex]

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction.

Hope it is helpful...

Answer:

87/100

Step-by-step explanation:


Two and three fifths plus one and three fifths

Answers

Answer:

2 3 + 1 3 = 3/5 + 3/5 = 1 1/5 + 2+1 = 3 + 1 !/5 = 4 1/5

5 5

Step-by-step explanation: The Slashes mean The number bellow

Please make this answer Brainlist...

Tamara uses a coupon to save 20% off her purchase at the bookstore. The original cost of Tamara's purchase is d dollars.
Which expressions represent the cost, in dollars, of Tamara's purchase after using the coupon? Choose all that apply.

Answers

Answer:

The equation would be d - (d×0.2)

A recipe calls for 24 ounces of oil and 8 ounces of vinegar. Kim is making dressing with 12 ounces
of vinegar using the same ratio of oil to vinegar

How much oil should kin use?Complete the Table

Answers

Answer:

36 ounces.

Step-by-step explanation:

The ratio being 24:8 can be simplified to 3:1

Multiply the one (the vinegar) by a factor of 12

What happens to one side has to happen to the other

12(3:1)

36 ounces.

Answer:36

Step-by-step explanation:

pls help for both 12 and 13!!

Answers

Answer:

The answer to 12 is 40 cubic units

Step-by-step explanation:

1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.
a.
What equation will calculate the value in x years? y =

Answers

Answer:

[tex]A(x) = 12000(1.04)^x[/tex]

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$12000 cash

This means that [tex]P = 12000[/tex]

Compounded at 4% interest annually.

This means that [tex]r = 0.04, n = 1[/tex]

What equation will calculate the value in x years?

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(x) = P(1 + \frac{r}{n})^{nx}[/tex]

[tex]A(x) = 12000(1 + 0.04)^x[/tex]

[tex]A(x) = 12000(1.04)^x[/tex]

How to solve the inequality 8x + 10 ≤ 60

Answers

Answer:

x ≤ 6.25

Step-by-step explanation:

8x + 10  ≤  60

Subtract 10 from both sides

8x ≤ 50

Divide both side by 8

x ≤ 6.25

If my answer is incorrect, pls correct me!

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

-Chetan K

in a system of equations why is the intersection the solution

Answers

9514 1404 393

Answer:

  It satisfies both equations.

Step-by-step explanation:

The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).

In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.

For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.

Calculating area of rectangle

Your measurments Another student's measurements
Length (cm) 20.70 20.74
Width (cm) 10.44 10.46
Area (cm2)

Required:
Why might two students have different calculated areas when measuring the same rectangle?

Answers

Answer:

[tex]Area = 216.108cm^2[/tex] --- You

[tex]Area = 216.940cm^2[/tex] --- Another student

Reason: Because there is a variation in the given dimensions

Step-by-step explanation:

Given

Your measurement

[tex]Length = 20.70cm; Width =10.44cm[/tex]

Another students'

[tex]Length = 20.74cm; Width =10.46cm[/tex]

Solving (a): The area

Area is calculated as:

[tex]Area = Length * Width[/tex]

For you

[tex]Area = 20.70cm * 10.44cm[/tex]

[tex]Area = 216.108cm^2[/tex]

For the other student

[tex]Area = 20.74cm * 10.46cm[/tex]

[tex]Area = 216.940cm^2[/tex]

Solving (b): Reason for the variation in the areas

The given measurements are estimates of the dimensions of the rectangle.

Since there is a variation in the estimates, there will be some level of variation in the calculated area.

Which ones are correct?

Answers

Answer:

Th answer is D

Step-by-step explanation:

Out of 350 applicants for a job, 158 are female and 66 are female and have a graduate degree. Step 2 of 2 : If 110 of the applicants have graduate degrees, what is the probability that a randomly chosen applicant is female, given that the applicant has a graduate degree

Answers

Answer:

33/55

Step-by-step explanation:

Total applicants, n(T) = 350

Female applicants, n(F) = 158

Female and Graduate applicants, n(FnG) = 66

Graduates, n(G) = 110

Probability of female Given that applicant has graduate degree; this is a conditional probability problem;

Recall :

P(A given B) = P(A|B) = P(AnB) / P(B)

Therefore ;

P(F|G) = P(FnG) / P(G) = 66 / 110 = 33/55

14+6×(9-6)

please answer ​

Answers

Answer:

32

Step-by-step explanation:

14+6(9-6)

[9-6=3]

14+6x3

[6x3=18]

14+18

32

---

hope it helps

Answer:

14+6×(9-6)=32

if jane give £2 pounds to charlotte they will have equal amount of money. instead
charlotte give £4 to jane the ratio of jane's money to charlotte will be 2:1. how much
do jane and charlotte each have to start with​

Answers

Jane has 20 pounds and Charlotte has 16 pounds

Let j = amount Jane has and c = amount Charlotte has

j - 2 = c + 2 if Jane gives Charlotte 2 pounds
j + 4 = 2(c - 4) if Charlotte gives Jane 4 pounds
j + 4 = 2c - 8
Subtract equation 1 from equation 3
6 = c - 10
c = 16
j = c + 4 = 20

Which of the following is an example of quantitative data?
A person's Zip Code

The color of your car

A Person's Height

A person's city of residence

Answers

Answer:

a person's height

Step-by-step explanation:

thing that you can count

Answer:

a person's height helpful answer

- ⅘ x = 8.....................
im actually in middle school btw dunno why it says college

Answers

Answer:

-10

Step-by-step explanation:

See image below:)

Answer:

x = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

-4/5x = 8

Step 2: Solve for x

[Division Property of Equality] Divide -4/5 on both sides:                             x = 8 / -4/5Divide:                                                                                                               x = -10

the product of 2 numbers, p and q, decreased by 3 times their sum. (as an algebraic expression)

Answers

Answer:

3 - (p*q) im not sure lol

Step-by-step explanation:

Which expression is equivalent to:1/m6

Answers

Answer:

A

Step-by-step explanation:

6 is a power. So both C and D are wrong because 6 is being treated as an ordinary integer.

So the answer must be either A or B.

B is not correct because to move an expression from the denominator to the numerator changes the sign in the base (which is m in this  question).

A is correct. the power is changed from 6 in the denominator to -6 in the numerator. m is shifted to the numerator as well.

10) -2(n - 6) = 20
please help!

Answers

Answer:

n = 1

Step-by-step explanation:

Answer:

n = -4

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(n − 6) = 20

Step 1: Simplify both sides of the equation.

−2(n − 6) = 20

(−2)(n) + (−2)(−6) = 20(Distribute)

−2n + 12 = 20

Step 2: Subtract 12 from both sides.

−2n + 12 − 12 = 20 − 12

−2n = 8

Step 3: Divide both sides by -2.

[tex]\frac{-2n}{-2} = \frac{8}{-2}[/tex]

n = -4

Hope this helps, please mark brainliest if possible. Have a great day.

explanation please will give brainliest.​

Answers

Answer:

[tex]AC = 28[/tex]

Step-by-step explanation:

Given

[tex]AB = 16[/tex]

[tex]BC = 12[/tex]

Required

Determine AC

Since A, B and C are collinear, then:

[tex]AC = AB + BC[/tex]

So, we have:

[tex]AC = 16 + 12[/tex]

[tex]AC = 28[/tex]

What is the result of subtracting the second equation from the first

Answers

I didn’t undertand the question... mayb ur attachment isnt added! Plz check!

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