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BigorU [14]
3 years ago
9

he first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically

are shown in the table. Which represents the solution(s) of this system of equations?
Mathematics
2 answers:
frutty [35]3 years ago
8 0

Question:

Which represents the solution(s) of this system of equations?

Answer:

(-3,-1)

ivann1987 [24]3 years ago
5 0

Answer:

The solutions are -3 and -1

Step-by-step explanation:

∵ y = -x² - 2x + 8

∵ y = 2x + 11

∴ -x² - 2x + 8 = 2x + 11

∴ -x² - 2x - 2x + 8 - 11 = 0

∴ -x² - 4x - 3 = 0 ⇒ divide both sides by -1

∴ x² + 4x + 3 = 0

∴ (x + 3)(x + 1) = 0

∴ x + 3 = 0 ⇒ x = -3

∴ x + 1 = 0 ⇒ x = -1

∴ The solutions are -3 and -1

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23.

a. 15 student speeches will last 1 1/2 minutes each. In this case, we just simply multiply the fractions by multiply straight across. Multiply the top numbers together and the bottom numbers together. 1 1/2 is 3/2 a an improper fraction. Make 15 have a denominator of 1. 15/1 * 3/2 is 45/2 or 22 1/2 as a mixed number. It will take 22 1/2 minutes to give the speeches.

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3 years ago
50r − 6 = 82r − 70.<br> a. r=64<br> b. r= -64<br> c.r=2<br> d.r=-2
lisabon 2012 [21]

Answer:

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Step-by-step explanation:

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3 years ago
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Novay_Z [31]

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jeyben [28]

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (√2)π/(√5) is 2.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the expression (√2)π/(√5) can be written as,

\dfrac{\sqrt2 \pi}{\sqrt5}\\\\= \sqrt{\dfrac25}\pi\\\\=\sqrt{0.4} \times \pi\\\\

= 0.6324 × π

= 1.9869 ≈ 2

Hence, The value of the expression (√2)π/(√5) is 2.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

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2 years ago
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Kaylis [27]

Answer:

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Step-by-step explanation:

For this problem you are given the vertical and horizontal sides of the triangle. The flagpole (6.5 meters) is the up-and-down triangle side and the distance from the hook to the flagpole is the base (5.2 meters) of the triangle.

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