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mario62 [17]
3 years ago
13

Determine the solution to f(x) = g(x) using the following system of equations:

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
8 0
F(x) = g(x)

f(x) = 3x + 12
g(x) = -9.5x -13

Since both are equal. then

3x + 12 = -9.5x - 13
3x + 9.5x = -13 - 12
12.5x = - 25
12.5x/12.5 = -25/12.5
x = -2

to check:
f(-2) = 3(-2) + 12 = -6 + 12 = 6
g(-2) = -9.5x - 13 = -9.5(-2) -13 = 19 - 13 = 6

f(x) = g(x)
f(-2) = g(-2)
<span>6 = 6</span>
Rama09 [41]3 years ago
4 0

Answer:

x= -2

Step-by-step explanation:


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In a sample of 700 gas​ stations, the mean price for regular gasoline at the pump was $2.894 per gallon and the standard deviati
frez [133]

Answer:

P(x < 2.892) = 4.36\%

Step-by-step explanation:

Given

N = 700 --- Population

\mu = 2.894 -- Mean

\sigma = 0.009 --- Standard deviation

n = 55 -- Sample

Required: P(x < 2.892)

This question will be solved using the finite correction factor

First, calculated the z score

z = \frac{x - \mu}{\sqrt{\frac{N -n}{N -1}} * \frac{\sigma}{\sqrt n}}

z = \frac{2.892 - 2.894}{\sqrt{\frac{700 -55}{700 -1}} * \frac{0.009}{\sqrt {55}}}

z = \frac{-0.002}{\sqrt{\frac{645}{699}} * \frac{0.009}{7.42}}

z = \frac{-0.002}{\sqrt{0.92} * \frac{0.009}{7.42}}

z = \frac{-0.002}{0.95917 * 0.0012129}

z = -1.71

So:

P(x < 2.892) = P(z < -1.71)

Using z table

P(x < 2.892) = 0.043633

P(x < 2.892) = 4.36\%

3 0
3 years ago
In which case is it possible to create exactly one triangle with the given measures?
avanturin [10]
Choices "a" and "c" will form triangles

6 0
3 years ago
Write the number in 2 equivalent forms as a fraction, decimal, or percent.<br> 11<br> 16
pashok25 [27]
11.
Fraction - 11/100
Decimal - 0.11
Percent - 11%
16.
Fraction - 16/100
Decimal - 0.16
Percent - 16%
3 0
3 years ago
PLEASE HELP PRE CAL!!
Len [333]

Answer:

Width = 2x²

Length = 7x² + 3

Step-by-step explanation:

∵ The area of a rectangle is 14x^{4}+6x^{2}

∵ Its width is the greatest common monomial factor of 14x^{4} and 6x²

- Let us find the greatest common factor of 14 , 6 and x^{4} , x²

∵ The factors of 14 are 1, 2, 7, 14

∵ The factors of 6 are 1, 2, 3, 6

∵ The common factors of 14 and 6 are 1, 2

∵ The greatest one is 2

∴ The greatest common factor of 14 and 6 is 2

- The greatest common factor of monomials is the variable with

   the smallest power

∴ The greatest common factor of x^{4} and  x² is x²

∴ The greatest common monomial factor of  14x^{4} and 6x² is 2x²

∴ The width of the rectangle is 2x²

To find the length divide the area by the width

∵ The area = 14x^{4}+6x^{2}

∵ The width = 2x²

∴ The length = ( 14x^{4}+6x^{2}) ÷ (2x²)

∵  14x^{4} ÷ 2x² = 7x²

∵ 6x² ÷ 2x² = 3

∴ ( 14x^{4}+6x^{2}) ÷ (2x²) = 7x² + 3

∴ The length of the rectangle is 7x² + 3

8 0
3 years ago
12x +18<br> :)<br> 6<br> what’s the work
slava [35]

Answer:

6(2x+3)

Step-by-step explanation:

12x +18

Factor out 6 from each term

6*2x+ 6*3

6(2x+3)

6 0
3 years ago
Read 2 more answers
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