Answer:
The answer is x = −10.6237864
Answer:
Part 1) Slope-intercept form
Part 2) The slope of 2.20 tells me the rate per mile and the y-intercept of 2.50 tells me the flat fee
Step-by-step explanation:
Part 1) we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
This is a linear equation in slope intercept form
where
Part 2) we have that
x -----> represent the number of miles
y ----> represent the total charge in dollars
The slope is
---> unit rate
The y-intercept is
----> initial value or flat fee
therefore
The slope of 2.20 tells me the rate per mile and the y-intercept of 2.50 tells me the flat fee
Answer:
The volume of the crystal is .
Step-by-step explanation:
The volume enclosed by a cube is the number of cubic units that will exactly fill a cube.
To find the volume of a cube recall that a cube has all edges the same length. The volume of a cube is found by multiplying the length of any edge by itself three times. Or as a formula
where:
<em>s</em> is the length of any edge of the cube.
From the information given we know that the crystal has edge lengths of 5 centimeters. Therefore, the volume of the crystal is
.
x^2 + 10x = - 5
To complete the square, we need to add a constant on the
left side that makes the expression on the right a perfect square trinomial. We
need to add the same value on the right side to keep the equation equal. So,
x^2 + 10x + a = -5 + a
where a is the square of one-half the coefficient of x, therefore:
a = (10 / 2)^2 = 25
x^2 + 10x + 25 = -5 + 25
(x + 5)^2 = 20
Taking the square root of both sides:
x + 5 = ± 4.47
x = -5 ± 4.47
<span>x = -9.47, -0.53</span>