we conclude that for 500 miles, both plans will have the same cost.
<h3>
For how many miles both plans have the same cost?</h3>
Plan A charges a fixed amount of $75, plus $0.10 per mile, so if you drive x miles, the cost equation is:
A(x) = $75 + $0.10*x
For plan B we will have the similar equation:
B(x) = $100 + $0.05*x
The cost is the same in both plans when:
A(x) = B(x)
So we need to solve the linear equation:
$75 + $0.10*x = $100 + $0.05*x
$0.10*x - $0.05*x = $100 - $75
$0.05*x = $25
x = $25/$0.05 = 500
So we conclude that for 500 miles, both plans will have the same cost.
If you want to learn more about linear equations:
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The inverse of the given function is y = √5x + 7/2 - 3
<h3>Inverse of a function</h3>
Given the function expressed below;
5y + 4 = (x+3)² +1/2
5y = (x+3)² - 7/2
y = 1/5(x+3)² - 7/10
Replace y as x
x = 1/5(y+3)² - 7/10
Make y the subject of the formula
5x = (y+3)²- 7/2
(y+3)² = 5x + 7/2
y+3 = √5x + 7/2
y = √5x + 7/2 - 3
Hence the inverse of the given function is y = √5x + 7/2 - 3
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Yes a factor is less then the number and the multiple it greater, for example 6 a multiple is 12,24, and so on...
The radius of the circle expressed as a mixed number is: inches.
<h3>What is the Radius of a Circle?</h3>
Radius of a circle = half the measure of the diameter of a circle.
Given:
diameter of a circle = inches
Therefore:
Radius of the circle = 1/2()
= 1/2(47/6)
= (1 × 47)/(2 × 6)
= 47/12
= inches.
Therefore, the radius of the circle expressed as a mixed number is: inches.
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Rounded to the nearest whole number it would be 13