All categories

4 years ago

What is the y-intercept of this function? f(x) = 2(x - 7)2 – 32

Mathematics

1 answer:

LUCKY_DIMON [66]4 years ago

4 0

We are given the following function and want to find the y-intercept:

$f(x)=2(x-7)^2-32$

Just substitute the value x=0 into the equation to find the value of the y-intercept:

$y=2(0-7)^2-32$

Simplify

$=2(49)-32$

Simplify again

$=66$

Since the value of f(x), or y, when x=0 is 66, the y-intercept of this function is 66.

Let me know if you need any clarifications, thanks!

~ Padoru

You might be interested in

B. Construct Arguments Tom says his friends ate the same amount of vegetable pizza as pepperoni pizza. How could that be true?

Alex_Xolod [135]

Answer:

ummmm sorry idgi

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the points (-4,1) and (4,4)?

Ray Of Light [21]

Answer:

y = $\frac{3}{8} x + \frac{5}{2}$

Step-by-step explanation:

☆Remember: $m = \frac{y_2 - y_1}{x_2 - x_1}$

☆Remember: Slope-intercept form -> y = mx + b

☆Now. We first need to find the slope.

$m = \frac{4 - 1}{4 - (- 4)} = \frac{3}{8}$

☆Now the y-intercept.

$y = mx + b \\ \\ 4 = \frac{3}{8} (4) + b \\ \\ 4 = \frac{3}{2} + b \\ \frac{ - \frac{ 3}{ 2} = - \frac{ 3}{ 2} \: \: \: \: \: \: \: \: \: \: }{ \frac{5}{2} = b }$

8 0

3 years ago

Given the diagram below, what is cos(45*)? <br><br> A.<br><br><br> B.<br><br><br> C.<br><br><br> D.

alina1380 [7]

Answer:

The answer is option B

Step-by-step explanation:

To find cos 45° we must first find the adjacent and the hypotenuse

Let the adjacent be x

Let the hypotenuse be h

To find the adjacent we use tan

tan ∅ = opposite / adjacent

From the question

the opposite is 9

So we have

tan 45 = 9 / x

x tan 45 = 9

but tan 45 = 1

x = 9

Since we have the adjacent we use Pythagoras theorem to find the hypotenuse

That's

h² = 9² + 9²

h² = 81 + 81

h² = 162

h = √162

h = 9√2

Now use the formula for cosine

cos∅ = adjacent / hypotenuse

The adjacent is 9

The hypotenuse is 9√2

So we have

cos 45 = 9/9√2

We have the final answer as

Hope this helps you

3 0

3 years ago

Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the tabl

AURORKA [14]

Answer:

yellow

Step-by-step explanation:

bc blue

5 0

2 years ago

If you only have a

cestrela7 [59]

Hi! I'm happy to help!

To solve this problem, we need to divide the recipe amount in 1/6 amounts. So, we will do a fraction division problem like this:

15 $\frac{1}{6}$ ÷ $\frac{1}{6}$

This problem is hard to do with mixed numbers, so we need to turn 15 $\frac{1}{6}$ into an improper fraction. To do that we need to multiply 15 by 6, because that is our denominator, then add the extra $\frac{1}{6}$ .

(15×6)+1

90+1

So, our improper fraction would be $\frac{91}{6}$ , now, let's solve.

$\frac{91}{6}$ ÷ $\frac{1}{6}$

It is difficult to do division problems on their own, so we can change this into an easier problem. We can do the inverse operation and turn this into multiplication. We do this by changing it to multiplication (obviously), then flip the second fraction.

$\frac{91}{6}$ × $\frac{6}{1}$

Now, we just multiply the top by the top, and bottom by the bottom.

$\frac{546}{6}$

We could end it here, but we want a whole number, so, we simplify the number by dividing both the top and bottom by 6.

$\frac{91}{1}$

Anything over 1, is just a whole number

91.

<u>Therefore, the recipe should require 91 uses of the 1/6 cup.</u>

I hope this was helpful, keep learning! :D

3 0

3 years ago