Hello,
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Answer B
(x^3-2^3=(x-2)(x²+2x+4)
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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
Answer:
The correct answer is A. T(c) = (c + 160)/4
Step-by-step explanation:
To solve this, we need to start by using c as a standard term instead of in terms of t. Then we simply solve for t.
C = 4t - 160 ----> Add 160
C + 160 = 4t ----> Divide by 4
(C + 160)/4 = t
It is seventy-eight and six tenths
9514 1404 393
Answer:
- ∠PAO = 90°
- ∠APO = 30°
- ∠AOB = 120°
- PB ≈ 8.7
Step-by-step explanation:
A tangent makes a right angle with the radius to the point of tangency. Hence ∠PAO is 90°. The ratio of the short side (OA) of the right triangle OAP to the hypotenuse (OP) is 5 : 10 = 1 : 2. These are the ratios found in a 30°-60°-90° triangle, so we know that ∠APO = 30°.
OP is a bisector of angle APB, so that angle is 60°. Angle AOB is the supplement to angle APB, so ∠AOB = 120°.
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As we said above, triangle OAP is a 30°-60°-90° triangle, so its side lengths have the ratios 1 : √3 : 2. This means PA = PB = 5√3 ≈ 8.7.