All categories

3 years ago

Which of the following shows the equation y = x2 + 8x + 14 in vertex form?

Mathematics

1 answer:

Svetach [21]3 years ago

5 0

$y = {x}^{2} + 8x + 14$
$y = ({x}^{2} + 2(x)(4) + (4)^{2} ) - 2$
$y = {(x + 4)}^{2} - 2$

You might be interested in

please help! functions and relations. f(x)= square root of x-4. find the inverse of f(x) and it’s domain.

likoan [24]

ANSWER:

$\:D.\text{ }f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge-4$

STEP-BY-STEP EXPLANATION:

We have the following equation:

$f(x)=\sqrt{x}-4$

The inverse is the following (we calculate it by replacing f(x) by x and x by f(x)):

$\begin{gathered} x=\sqrt{f^{-1}(x)}-4 \\ \\ \sqrt{f^{-1}(x)}=x+4 \\ \\ f^{-1}(x)=(x+4)^2 \end{gathered}$

The domain would be the range of the original equation, and it would be the range of values that f(x) could take, which was from -4 to positive infinity, that is, f(x) ≥ -4.

Therefore, the domain is x ≥ -4.

So the correct answer is D.

$\:f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge -4$

4 0

3 months ago

The resting heart rate for an adult horse should average about μ = 43 beats per minute. Let x be a random variable that represen

lara31 [8.8K]

Answer:

451.5

Step-by-step explanation:

I'm rusted on the mathematics

6 0

2 years ago

It’s in the picture if u can help I will be thankful

Delicious77 [7]

Answer:

The length of LM,hypotenuse is 55.866ft

Step-by-step explanation:

Given that LN=39ft and MN=40ft so you can solve it using Pythogoras' Theorem:

side²+side² = hypo²

LN² + MN² = LM²

hypo² = 39²+40²

= 3121

LM = √3121

= 55.866ft (3d.p)

6 0

2 years ago

What is 144 divided by 960?Working out is needed.

Ipatiy [6.2K]

Answer:

The answer is 0.15

Step-by-step explanation:

Hope this helps!

7 0

1 year ago

Read 2 more answers

An instructor who taught two sections of engineering statistics last term, the first with 25 students and the second with 40, de

Pavlova-9 [17]

Answer:

the answer is b

Step-by-step explanation:

8 0

2 years ago