The value of x such that f(x) = g(x) is x = 3
<h3>Quadratic equation</h3>
Given the following expressions as shown
f(x) = x^3-3x^2+2 and;
g(x) = x^2 -6x+11
Equate the expressions
x^3-3x^2+2 = x^2 -6x+11
Equate to zero
x^3-3x^2-x^2+2-11 = 0
x^3-3x^2-x^2 + 6x - 9 = 0
x^3-4x^2+6x-9 = 0
Factorize
On factorizing the value of x = 3
Hence the value of x such that f(x) = g(x) is x = 3
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90÷5=18 which means she makes $18 every hour.
Answer= $18
Answer: -21, -33, -45
Step-by-step explanation:
each next number is being subtracted by 12 so
Answer:
The equation of the line y= 5x+1. Line that is parallel to the function given should have the same slope as the equation which is 5. We use the point-slope form in order to find the second equation that contains the point (4,5).
y - 5 = 5(x-4)
y = 5x - 20 +5
y≈ 5x -15
Answer: 31, 932.74
Step-by-step explanation:
The population of the small town = 39,668
Yearly rate of decline = 1.5%
Therefore, to calculate 1.5% of 39,668 = 1.5 x 39,668
------------------
100
= 595.02
So, the population is declining by 595.02 on yearly basis.
To ascertain what will the population would have declined to in the next 13 years,
We multiply , = 595.02 x 13
=7,735.26
Now population in 13 years = 39,668 - 7,735.26
= 31,932.74
