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2 years ago

12

Let f(x)=−3x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 u

nits right.
What is the equation for g(x)?

2 answers:

Serjik [45]2 years ago

6 0

G(x) = -3x - 4

g(x) = |3x| + 4

I hope I answered the questions right

makkiz [27]2 years ago

6 0

Answer:

$g(x)=-12(x-4)$

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Help me answer the question

Nastasia [14]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Revathi's age is 1/3 of her mother's age. If their difference in age is 24 years, find Revathi's age.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

Given,

Mother's age = x
Revathi's age = 1/3 x = ?
Difference in their age = 24 years ⇨ x - 1/3 x = 24.

Now, let's solve this question using the above equation which we just formed.

$\sf \: x - \frac{1}{3}x = 24 \\$

Combine x and $\sf\:-\frac{1}{3}x$ to get $\sf\frac{2}{3}x$ .

$\sf\frac{2}{3}x=24 \\$

Multiply both sides by $\sf\frac{3}{2}$ , the reciprocal of $\sf\frac{2}{3}$ .

$\sf \: x=24\times \left(\frac{3}{2}\right)$

Express $\sf24\times \left(\frac{3}{2}\right)$ as a single fraction.

$\sf \: x=\frac{24\times 3}{2} \\$

Multiply 24 and 3 to get 72.

$\sf \: x=\frac{72}{2} \\$

Divide 72 by 2 to get 36.

$\boxed{ \bf \: x=36 }$

We now have the age of Revathi's mother (x) = <u>36 years</u>. Now, let's find Revathi's age ⇨ $\sf\:(\frac{1}{3}x)$

$\rightarrow \sf \: \frac{1}{3} x \\ \rightarrow \sf \: \frac{1}{3} \times 36 \\ \rightarrow \sf \: \frac{1}{ \bcancel 3} \times \bcancel{36} \\ \rightarrow \sf \:1 \times 12 \\ = \boxed{\boxed{\bf \: 12}}$

So, Revathi is <em><u>1</u></em><em><u>2</u></em><em><u> </u></em><em><u>years </u></em><em><u>old.</u></em>

6 0

2 years ago

Read 2 more answers

Raj weighs a book and rounds the weights to the nearest tenth. Does this weight round to 1.5 pounds?

mel-nik [20]

Step 1: Locate and underline the tenth place (4) and look to the right (8)

1.48

Step 2: In this case, the digit to the right 8 is 5 or above. So, we add 1 to the tenth place 4. The digit at the right 8 becomes 0, thus we get 1.5 as the answer.

In short: 1.48 rounded to the nearest tenth is 1.5.

Hope that helped

6 0

2 years ago

Read 2 more answers

at the elementary school fun fair,the ratio of the number of adults to the number of kids is 4:7. If there are 159 more kids tha

Oxana [17]

the ratio of the number of kids is 4:7

that means for every 7 kids we have 4 adults

7 kids ---- 4 adults

the difference is 3

we dived the difference of the kids between the difference of the ratio

150/3 = 50

the number we obtained must be multiply by the ratio of each part

7(50) = 350 number of kids

4(50)=200 number of adults

there are 200 adults at the fun fair

4 0

1 year ago

Maria earns $80 per day working at a gas station. Write an algebraic expression to represent the amount of money she will earn i

Simora [160]

Answer:

The algebraic expression is 80d

Step-by-step explanation:

Maria's earnings per day = $80

Number of days= d

Total earnings for d days:

80d

Where,

80 is earnings per day

d is number of days

The algebraic expression is 80d

Algebraic equation is

y= 80d

Where

y= total income earned in d days

The expression is different from am equation because of the equal to sign(=)

3 0

3 years ago

How do I add mixed numbers<br>8 1/2 +1/6<br>

sergij07 [2.7K]

Answer:

<u><em>26/3 is your answer as a improper fraction </em></u>

<u><em>8.6 is your answer as a decimal </em></u>

<u><em>8 2/3 is your answer as a mixed number </em></u>

How to add mixed numbers Step-by-step:

1) find the least common denominator

2) find the equivalent fractions

3) add the the fractions, add the whole numbers

4) write your answer in lowest terms

6 0

2 years ago

Read 2 more answers