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Alex_Xolod [135]

4 years ago

13

Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?

2 answers:

fomenos4 years ago

5 0

Answer:

A on Edge

Step-by-step explanation:

Andrej [43]4 years ago

3 0

<span>The general equation of a quadratic is expressed as y = ax^2+bx+c. To convert the general equation to vertex form, we need to obtain this form:

(y- k)= a(x - h)^2

This could be done by using completing the square method.

</span><span>y = –3x^2 – 12x – 2
</span><span>y + 2 = –3(x^2 + 4x)
</span>y + 2 -12 <span>= –3(x^2 + 4x + 4)
</span>y - 10 = -3(x+2)^2

Therefore, the answer is the first option.

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Twelve different video games showing drug use were observed. The duration times of drug use were recorded, with the times (sec

Amanda [17]

the answer to the question will be c

4 0

3 years ago

Use f(x) = 1/2 x and f -1(x) = 2x to solve the problems. f(2) = 1 f−1(1) = 2 f−1(f(2)) = 2 f−1(−2) = f(−4) = f(f−1(−2)) =

vampirchik [111]

Answer:

In this problem, we are given the following functions:

$f(x)=\frac{1}{2}x$

and its inverse function:

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

First of all, we want to calculate $f(2)$ . This can be obtained by substituting

x = 2

into f(x). Doing so, we find:

$f(2)=\frac{1}{2}\cdot 2 = 1$

Then we want to calculate $f^{-1}(1)$ . We can do it by substituting

x = 1

into $f^{-1}(x)$ . Doing so,

$f^{-1}(1)=2\cdot 1 = 2$

Then we want to calculate $f^{-1}(f(2))$ , which can be found by calculating f(2) and then using it as input for $f^{-1}(x).$ We know that

f(2) = 1

Therefore,

$f^{-1}(f(2))=f^{-1}(1)=2$

Then we want to calculate $f^{-1}(-2)$ , which can be calculated by plugging

x = -2

into $f^{-1}(x)$ . Doing so,

$f^{-1}(-2)=2\cdot (-2)=-4$

Then we want to calculate $f(-4)$ ; by substituting

x = 4

into f(x), we find

$f(-4)=\frac{1}{2}\cdot (-4)=-2$

Finally, we want to find $f(f^{-1}(-2))$

We know already that

$f^{-1}(-2)=-4$

So we have:

$f(f^{-1}(-2))=f(-4)=-2$

7 0

3 years ago

Read 2 more answers

Expand and Simplify 3(4x + 1 ) -2(3x-4)

pychu [463]

Answer:

<h3> $\boxed{ \bold{ 6x + 11}}$ </h3>

Step-by-step explanation:

$\mathsf{3(4x + 1) - 2(3x - 4)}$

Distribute 3 through the parentheses

$\mathsf{12x + 3 -2(3x - 4)}$

Distribute 2 through the parentheses

⇒ $\mathsf{12x + 3 - 6x + 8}$

Collect like terms

⇒ $\mathsf{6x + 11}$

Hope I helped!

Best regards!!

6 0

3 years ago

Read 2 more answers

If x = 73, what is the value of x ?

ad-work [718]

Answer: 73?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The probability that an archer hits a target when he shoots an arrow is 0.7. The archer shoots two

Sholpan [36]

Answer:

The tree diagram is shown in the tree diagram is shown.

If the probability to hit is 0.7, then the probability to miss is 0.3.

P(hit, hit) = 0.7*0.7 = 0.49

P(hit, miss) = 0.7*0.3 = 0.21

P(miss, hit) = 0.3*0.7 = 0.21

P(miss, miss) = 0.3*0.3 = 0.09

6 0

3 years ago