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Georgia [21]
3 years ago
12

Please solve for a, b, and c

Mathematics
1 answer:
rusak2 [61]3 years ago
3 0

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

Read more on Brainly.com - brainly.com/question/7171213#readmore
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Answer:

A, B, C, E

Step-by-step explanation:

It can be seen from the figure that the points A, B, C and D, all are lying in the line t.

=> So that it can be concluded that AC and BC and BD have the slopes which are equal to each other and also equal to the slop of line t

So that all answer A, B, C are true.

In addition, as FD is parallel with x - axis, so that slope of the line t is equal to <em>tan angel FDB </em>

As FDB is the right triangle with BFD = 90°

=> tan angel FDB = FB/ FD (tan of an acute angel in the right triangle = opposite side/ adjacent side)

=> Slope of the line t is equal to FB/ FD

=> Answer E is true

6 0
3 years ago
Read 2 more answers
Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = pi over 2 ?
vladimir1956 [14]
tan(4x- \pi )= \frac{sin(4x- \pi )}{cos(4x- \pi )}

The asymptotes are where the graph is undefined. Since: tan(x) =sin(x)/cos(x)
It is where cos(4x-π) = 0

cos(4x-π) = 0 when the inside is -π/2 , π/2 , 3π/2

4x - π = π/2
4x = π/2 + π
4x = 3π/2
x = 3π/8

4x - π = 3π/2
4x = 3π/2 + π
4x = 5π/2
x = 5π/8
This ones outside the interval (5π/8 > π/2) , try -π/2

4x - π = -π/2
4x = -π/2 + π
4x = π/2
x = π/8

Asymptotes are π/8 and 3π/8




4 0
4 years ago
Another Quick Question, True or false: The Intersection of two rays creates two pairs of vertical angles and four pairs of suppl
andrey2020 [161]

Answer:

True

Step-by-step explanation:

3 0
3 years ago
C=5(y-8) solve for y
Sloan [31]

Answer:

The steps to do this :

c = 5(y - 8)

c = 5y - 40

c + 40 = 5y

y =  \frac{c + 40}{5}

7 0
3 years ago
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Given a special license plate tag consists of 5 characters for a small country. The first
tigry1 [53]

Answer:

D

Step-by-step explanation:

Remark

First characters:  6 choices

Second two characters: 25 * 26

Third set of 2: 10 * 10 = 100

6 * 25 * 26 * 100 = 390000

7 0
3 years ago
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