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4 years ago

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

Mathematics

2 answers:

fomenos4 years ago

5 0

Answer:

A on Edge

Step-by-step explanation:

Andrej [43]4 years ago

3 0

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.

y = –3x^2 – 12x – 2
y + 2 = –3(x^2 + 4x)
y + 2 -12 = –3(x^2 + 4x + 4)
y - 10 = -3(x+2)^2

Therefore, the answer is the first option.

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A litter of puppies consists of black puppies and white puppies. A

BartSMP [9]

We want to see if the first selection is dependent on the second selection, we will see that no, the first selection can not depend on a selection that did not happen yet.

So the situation is:

We have a group of puppies, some are black, some are white.

Let's say that there are N puppies in total, n₁ are black, n₂ are white, such that:

n₁ + n₂ = N

Now we have that the first selection, event A, is a black puppy. The probability is just the quotient between the number of black puppies and the total number of puppies:

q = n₁/N

Then now we have:

N - 1 puppies in total.
n₁ - 1 black puppies
n₂ white puppies.

Now for the second selection, event B, the probability of selecting a white puppy is:

P = n₂/(N - 1)

Notice that because there are fewer black puppies than before (because we took one) the denominator decreases, thus, the probability of getting a white puppy increases.

So clearly event B depends on event A.

Now the question is:

Is A dependent on B?

No, A can not depend on event B, because event A happens first. The probability of the first event is always q = n₁/N.

If you want to learn more, you can read:

brainly.com/question/12138717

7 0

3 years ago

Identify the terms, coefficients, and constants in the expression 15x+3

VLD [36.1K]

Answer:

coefficients are : 15. constants are: 3

Step-by-step explanation: hope it helps

5 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Lilit [14]

Answer: A & B are the same answer --> 96, max

Step-by-step explanation:

Consider m is the degree of the numerator (top) and n is the degree of the denominator (bottom). Then the horizontal asymptote (H.A.) is based on the relationship between m and n:

If m > n, then there is no H.A.
If m = n, then y = coefficient of numerator ÷ coefficient of denominator
If m < n, then y = 0

In the given problem, m = 1 and n = 1 so the H.A. is:

$y=\dfrac{60}{0.625}\quad \rightarrow \quad y=96$

This is the maximum number of moose that the forest can sustain at one time.

4 0

4 years ago

Read 2 more answers

Bill and jenna are solving the quadratic equation x 2 - x = 12. bill solved this way jenna solved this way x 2 - x = 12 x(x - 1)

goldfiish [28.3K]

Jenna is correct and Billy is wrong because the equation was not converted to a quadratic form.

<h3>Form of quadratic equation</h3>

The form of quadratic equations is given as

ax2 + bx + c = 0

So, for the quadratic equation, we have

x² - x = 12

Let's make it into quadratic form

x² - x - 12 = 0

Bill solved it as

x(x - 1) = 12

This is wrong, because quadratic equations must be written in the form before solving for the variables

Jenna solved it as

x 2 - x - 12 = 0

Jenna is correct because she converted the equation to a quadratic form before solving for the variables.

Thus, Jenna is correct and Billy is wrong because the equation was not converted to a quadratic form.

Learn more about quadratic equations here:

brainly.com/question/7784687

#SPJ1

6 0

2 years ago

#7 HELP ! WILL GIVE BRANLIEST

likoan [24]

Answer:

x = 8, y = 4√3, z = 8√3

Step-by-step explanation:

Assuming that y is the altitude of the triangle (perpendicular to the hypotenuse), the triangles are similar. So we can write proportions:

x / 4 = 16 / x

x² = 64

x = 8

4 / y = y / 12

y² = 48

y = 4√3

z / 12 = 16 / z

z² = 192

z = 8√3

Note: after finding one side, you can also use Pythagorean theorem to find the other two sides.

3 0

3 years ago