A book store is keeping track of the price of books according to the number of pages. Which scatterplot represents

What transformation takes the graph of g(x) = x2 – 5 to the graph of<br> h (x) = x² – 1

Over [174]

Answer:

We need the following translation: $h(x) = g(x) +4$

Step-by-step explanation:

To transform $g(x)$ into $h(x)$ , we need must apply the following translation:

$h(x) = g(x) +4$ (1)

If we know that $g(x) = x^{2} -5$ , then the expression of $h(x)$ is:

$h(x) = x^{2}-5 +4$

$h(x) = x^{2}-1$ (2)

Which demonstrates the affirmation.

3 0

3 years ago

Let r(t)=⟨t2,1−t,4t⟩. calculate the derivative of r(t)⋅a(t) at t=5, assuming that a(5)=⟨−4,4,−5⟩ and a′(5)=⟨−5,9,3⟩

erastovalidia [21]

$\mathbf r(t)=\langle t^2,1-t,4t\rangle$
$\implies\mathbf r'(t)=\langle 2t,-1,4\rangle$

$\dfrac{\mathrm d(\mathbf r(t)\cdot\mathbf a(t))}{\mathrm dt}\bigg|_{t=5}=\mathbf r'(5)\cdot\mathbf a(5)+\mathbf r(5)\cdot\mathbf a'(5)$
$=\langle10,-1,4\rangle\cdot\langle-4,4,-5\rangle+\langle25,-4,20\rangle\cdot\langle-5,9,3\rangle$
$=(-40-4-20)+(-125-36+60)$
$=-165$

6 0

4 years ago

If I multiplied these binomials (x - 3) + (4x + 2) what would be the final product?

zlopas [31]

Answer: 4x^2 - 10x - 6

Step-by-step explanation:

You can use FOIL to do this. First terms, Outer terms, Inner terms, Last terms.

(x - 3)(4x + 2)

First terms: x * 4x = 4x^2

Outer terms: x * 2 = 2x

Inner terms: -3 * 4x = -12x

Last terms: -3 * 2 = -6

Now add these together:

4x^2 + 2x - 12x - 6 = 4x^2 - 10x - 6

8 0

3 years ago

Read 2 more answers

2) Mr. Riley dove off a cliff that was 30 feet above the surface of the water and descended a total of 100 feet. Which of the eq

MissTica

Answer:

B

Step-by-step explanation:

Mr.Riley was 30 feet above the water, which means he is at +30 above sea level. If he descends 100 feet, that means he goes 100 feet lower then that. 30 - 100 is equal to -70. He is 70 feet under water after he dived. You do not need to know the answer, but it helps to visualize the problem you have, therefore, finding the answer

4 0

3 years ago

Of the 240 sandwiches Joanna makes 20% are tuna sandwiches and 40% are jam sandwiches, and the rest are egg salad sandwiches.How

nikitadnepr [17]

240 = 100%
so 10% = 24 sandwiches
all - (tuna) - (jam) = egg
100% - 20% - 40% = 40%
40% = 10%*4
40% = 24*4 = 96

the answer is 96 egg salad sandwiches

4 0

3 years ago