One equation is...
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12.99 + (0.6)x = 15.39
Answer:
The solution as an ordered pair is (3,21)
Step-by-step explanation:
<u><em>The complete question is</em></u>
At David's skateboard shop, customers pay an upfront fee of $12 and then pay $3 per hour for each hour they use the skateboard.
How much does a customer at David's skateboard shop pay to rent a skateboard for 3 hours?
Write your answer as an ordered pair (h,C)
we know that
The linear equation in slope intercept form is equal to
where
C is the total cost to rent a skateboard
h is the number of hours
m is the slope or unit rate
b is the initial value (the C-intercept)
In this problem we have
The slope is equal to
The C-intercept or initial value is
substitute
For h=3 hours
substitute in the linear equation
therefore
The solution as an ordered pair is (3,21)
Answer:
x = , x =
Step-by-step explanation:
Given
4x² - 16x = 16x - 39 ( subtract 16x - 39 from both sides )
4x² - 32x + 39 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term, that is
product = 4 × 39 = 156 and sum = - 32
The factors are - 26 and - 6
Use these factors to split the x- term
4x² - 26x - 6x + 39 = 0 ( factor the first/second and third/fourth terms )
2x(2x - 13) - 3(2x - 13) = 0 ← factor out (2x - 13) from each term
(2x - 13)(2x - 3) = 0
Equate each factor to zero and solve for x
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =
2x - 13 = 0 ⇒ 2x = 13 ⇒ x =
Answer:
Step-by-step explanation:
The length of the third side is ( x - 2 )
Step-by-step explanation:
Volume of a box is the product of its length, width and height.
Volume of box = length × width × height.
One side is (x - 4) and another side is (2x + 1).
These given sides can be either length, height or width.
The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.
Product of the two given sides =
( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4
= 2x^2 - 7x - 4
The long division is shown on the attached photo
The length of the third side is ( x - 2 )