Answer:
C is 27 and d is 16
Step-by-step explanation:
count how many cubes are on the first level and multiple but how many it goes up too
The table is:
Number of washes denoted by x: 0, 8, 12
Amount left on card denoted by y: 30, 18, 12
a. Write an equation that shows the amount of dollars left on the card
Solution:
18 – 30 divided by 8 – 0 = -12/8
On simplest form is -3/2
The equation is y = -3/2x + 30
b. Explain the meaning of the negative slope above.
As the number of car washes increase, the dollars left on the card decreases.
c. What is the maximum value of x?
0 = -3/2x + 30
2/3 x 3/2 x = 30/1 x 2/3
Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2
x = 20
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Completing the square is done as follows:<span>
1. Write
the equation in a way that the constants are in the right side while the terms
with x are on the left.
9x2 +54x = 7
2.
Make sure that the coefficient of the x^2 term is 1.
9(x2 + 6x) = 7
<span>3.
Adding a term to both sides that
will complete the square in the left side. This is done by dividing the
coefficient of the x term by 2 and squaring it. Note: The same amount should be
added to the right side to balance the equation.</span>
9(x2 + 6x + 9) = 7 + 81
<span>9(x+3)^2 = 88</span></span>