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german
3 years ago
12

Solve the following. ( leave the answer in radical form) 8x^2 + 5x=-3

Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0
8x^2+5x=-3
8x^2+5x+3=0

after solving this u will get x= (- 5(⁺ ⁻)√-71)/16
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Use distributive property to rewrite expression -8((-2-3/4)-8)
Stells [14]

Answer:

-86

Step-by-step explanation:

-8((-11/4)-8)

((11/4-8)

8x(-43/4)

-2×43=-86

4 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
Answer for immediate brainliest
Goryan [66]

Answer:

some

Step-by-step explanation:

4 0
3 years ago
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Jordan wrote the following description. Three fewer than one fourth of x is 12. Write an equation to represent the description??
VMariaS [17]

Answer:

1/4x - 3 = 12

Step-by-step explanation:

When it says "three fewer," it means subtract three from one fourth of x. "Is" always means the equal sign. Knowing this, we get the equation:

1/4x - 3 = 12

8 0
3 years ago
Ramon paid $3.25 for notepads and $1.80 for markers. what is the total number of items he bought?
alina1380 [7]

Answer:

we need to know how much the notepads and markers cost to answer this question correctly. please repost this question with all the information for someone to answer this correctly

Step-by-step explanation:

3 0
3 years ago
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