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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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Step-by-step explanation:

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Murrr4er [49]

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11+\frac{2\sqrt{15}}{3}

Step-by-step explanation:

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3 years ago
Find the first term and the common ratio <br>third term =6 and seventh term= 96​
mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: a_n= a_1r^{n-1}

We are given: third term = 6 i,e

a_3=a_1r(3-1)\\6=a_1r^2----eq(1)

Seventh term = 96

a_7=a_1r(7-1)\\96=a_1r^6----eq(2)

Dividing eq(2) and eq(3)

\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}

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3 years ago
Lee has a jar of 100 pennies. She adds groups of 10 pennies to the jar. She adds 5 groups. What numbers does she say?
kherson [118]
If Lee starts with 100 pennies and adds groups of 10, the operation is addition. Since she does this 5 times, there is 5 different numbers Lee said.

100 + 10 = 110
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130 + 10 = 140
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Thus, all of the numbers she said were 110, 120, 130, 140, and 150.


Hope this helps! :)

4 0
3 years ago
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What is the surface area of a sphere with a circumference of 100T? Leave
mixer [17]

Answer:

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Step-by-step explanation:

From the question given above, the following data were obtained:

Circumference (C) = 100π

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SA = 10000π units²

Therefore, the surface area of the sphere is 10000π units²

3 0
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