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Komok [63]
3 years ago
8

Help a friend who is horrible at algebra pls :^)

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0
Find the vertex by using the formula -b/2a
To find a and b, we must know that a and b are located at y = ax^2 + bx + c.
We find that b is 4 and a is 1 by looking at the given quadratic function.
The answer is A. -4/2(1) because the question is looking for the correct steps to find the answer.
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The volume of a brick 3 inches wide, 8 inches long, and 4 inches tall is:
Vladimir [108]

96 square inches

Hope it helps

6 0
3 years ago
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol
k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

  • Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

W = 3 + L  ......equation 1

H = 4 + L  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

Volume = length * width * height  .....equation 3.

Substituting the values into equation, we have;

224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}

Rearranging the polynomial, we have;

L^{3} + 7L^{2} +  12L - 224 = 0

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

(x - 3) = 0\\x = 3

P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

We would try with 4;

P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16)  + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224  - 224 = 0

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0
3 years ago
Ursula counted out the gummy bears and found 30 to be red. 4/15 were green and 1/3 were yellow . how many are green?
Brums [2.3K]

Answer:

I D K

Step-by-step explanation:

5 0
3 years ago
Find | P |<br><br> a. 15<br> b. 22<br> c. 24<br> d. 8
ankoles [38]

Answer:

c. 24

Step-by-step explanation:

15+9=24

5 0
3 years ago
Which of the following has a geometric sequence
iren [92.7K]

Answer:

5, -25, 125, -625

Step-by-step explanation:

A geometric sequence is where a number is divided or multiplied by same number continuously

in the third option the number are multiplied by (-5) continuously

8 0
3 years ago
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