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Yakvenalex [24]
1 year ago
14

Solve the following system of equations.What is one x-value of a solution? f(x) = x² + 7x- 24 g(x) = -3x - 40 x = 4 x = -3 x = 3

x = 8
Mathematics
1 answer:
oksian1 [2.3K]1 year ago
8 0

For the given set of equations, the values of x = -8 and x = -2.

We have, f(x) = x² + 7x- 24 and g(x) = -3x - 40

An Equation is an algebraic statement that shows that two quantities are equal.

For one x-value of a solution,

We equate both the given functions,

Thus, f(x) = g(x)

x² + 7x- 24 = -3x - 40

x^{2} +7x + 3x -24 + 40 = 0

x^{2} +10x + 16 =0

x^{2} + 8x + 2x +16 =0

x(x+8) + 2(x +8) =0

(x+8) (x+2) = 0

x = -8 and x = -2

Hence, Concluding, we have x = -8 and x = -2

To read more about equations, visit brainly.com/question/14686792

#SPJ9

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3 years ago
Write a system of equations and then solve by the method of your choice. Reserved seat tickets for the football game cost $4.00
amid [387]

Given :

Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.

After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792.

To Find :

The number of each general admission tickets sold.

Solution :

Let, general admission are x.

So, Reserved seat tickets will be 1787 - x.

Now, total amount T = 3x + 4( 1787 - x )

T = $5792

3x + 4( 1787 - x ) = $5792

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x = 1356

Therefore, the number of each general admission tickets sold are 1356.

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7 0
3 years ago
7 less than a number is 20
sesenic [268]

Answer:

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Step-by-step explanation:

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horsena [70]

Answer:

A square

Step-by-step explanation:

A parallel cross section will be the same shape of the base.  Since it's a square base, all parallel cross sections will also be parallel.  Think of it as a different floor of a pyramid shaped building.  

4 0
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What answer is this?
klemol [59]

Answer:

option B

\frac{31}{50}-\frac{4}{25} i

Step-by-step explanation:

Given in the question a complex fraction

<h3>Step1</h3>

To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

\frac{5+4i}{6+8i}(\frac{6-8i}{6-8i})

<h3>Step2</h3>

Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

\frac{30+24i-40i-32i²}{36-64i^{2} }

<h3>Step3</h3>

Simplify the powers of i, specifically remember that i² = –1.

\frac{62-16i}{36+64}

<h3>Step4</h3>

\frac{62}{100}-\frac{16i}{100}

<h3>Step5</h3>

simply

\frac{31}{50}-\frac{4}{25}i

8 0
3 years ago
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