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2 years ago

Write a function G whose graph represents the indicated transformation of the graph f

Mathematics

1 answer:

klemol [59]2 years ago

7 0

Answer:

$G(x) = 2x^2+6$ .

Step-by-step explanation:

The given function is

$f(x) = \frac 2 3 x^2 +2$

On vertical stretch by a factor of 3, the new function G(x) is

G(x) = 3 f(x)

So, $G(x) = 3 \times ( \frac 2 3 x^2 +2)= 2x^2+6$

Hence, the required function is $G(x) = 2x^2+6$ .

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Robert's dog is 4 years older than Karen's cat. In 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. How

mylen [45]

Answer:

5.5 years old.

Step-by-step explanation:

Let D represent present age of Robert's dog and C represent present age of Karen's cat.

We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

$D=C+4...(1)$

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be $D+3$ and $C+3$ respectively.

We can represent this information in an equation as:

$D+3+C+3=13...(2)$

From equation (1), we will get:

$C=D-4$

Upon substituting this value in equation (2), we will get:

$D+3+D-4+3=13$

Combine like terms:

$2D+2=13$

$2D+2-2=13-2$

$2D=11$

$\frac{2D}{2}=\frac{11}{2}$

$D=5.5$

Therefore, Robert's dog is 5.5 years old right now.

3 0

2 years ago

Michaela is competing in a race and what she felt the runs and rides a bicycle she runs 5 km in 0.5 hours and ride her bicycle 2

Nat2105 [25]

Answer:

Step-by-step explanation:

if she runs 5 km in half an hour, she runs 10 in a whole hour.

7 0

2 years ago

If the equation of a line passes through the points (1, 3) and (0, 0), which form would be used to write the equation of the lin

umka2103 [35]

I'd use the point-slope form, because it'd require the least amount of work.

The slope of this line is 3/1, or just 3.

Thus, y = mx + b becomes 3 = 3(1) + b, and b = 0. Thus, we get y = 3x (ans.)

7 0

2 years ago

Rewrite the expression -2a(a+b-5)+3(-5a+2b)+b(6a+b-8)

Nimfa-mama [501]

First separately:
$-2a(a+b-5) = -2a^{2}-2ab+10a$
$3(-5a+2b) = -15a + 6b$
$b(6a+b+8) = 6ab+b^{2}+8b$

Then you add then all together and get:
$-2a^{2}-2ab+10a-15a + 6b+ 6ab+b^{2}+8b =$
$-2a^{2}-5a+4ab+14b+b^{2}$

5 0

2 years ago

Read 2 more answers

What do you do to get this answer and what is the answer

Amanda [17]

Here is your answer

Convert the mixed fraction into into improper fraction.

$7\frac{1}{5} × 2 \frac{1}{6}$