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pychu [463]
2 years ago
8

Write an exponential function in the form y=ab^ x that goes through the points 007 and 5224​

Mathematics
1 answer:
kati45 [8]2 years ago
3 0
Answer:

y = 19 (3)x

Explanation:

y = abx

Plug in the numbers from the 2 given points to find a and b.

19 = ab0 = a
a = 19

171 = 19b2
b = 3

y = 19 (3)x
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Mike took clothes to the cleaners three times last month.​ First, brought 4 shirts and of slacks and paid ​$11.45. Then brought
GenaCL600 [577]

Complete Question:

Mike took clothes to the cleaners three times last month.​ First, brought 4 shirts and 1 pair of slacks and paid ​$11.45. Then brought ​7 shirts, 2 pairs of​ slacks, and 2 sports and paid ​$35.39. ​Finally, brought 5 shirts and 2 sports and paid ​$21.43 . How much was charged for each​ shirt, each pair of​ slacks, and each sports​ coat?

Answer:

The charges

For each Shirt = $1.49

For each pair of slacks = $5.49

For each sports coat = $6.99

Step-by-step explanation:

Let Shirt = a

Let pair of slacks = b

Let sports coat = c

First, brought 4 shirts and 1 pair of slacks and paid ​$11.45

= 4a + b = 11.45 ..........Equation 1

b = 11.45 - 4a

Then brought ​7 shirts, 2 pairs of​ slacks, and 2 sports and paid ​$35.39

= 7a + 2b + 2c = 35.39.........Equation 2

5 shirts and 2 sports and paid ​$21.43

5a + 2c = 21.43............Equation 3

Hence:

4a + b = 11.45 ..........Equation 1

7a + 2b + 2c = 35.39.........Equation 2

Using elimination method

Multiply Equation 2 by the coefficient of b = 1 in Equation 1

Multiply Equation 1 by the coefficient of b = 2 in Equation 2

8a + 2b = 22.9 .......Equation 4

7a + 2b + 2c = 35.39.........Equation 2

Subtracting Equation 2 from Equation 4

= a - 2c = -12.49 ........Equation 5

a = -12.49 + 2c

Subtituting -12.49 + 2c for a in Equation 3

5a + 2c = 21.43............Equation 3

5(-12.49 + 2c) + 2c = 21.43

= -62.45 + 10c + 2c = 21.43

Collecting like terms

10c + 2c = 21.43 + 62.45

12c = 83.88

c = 83.88/12

c = 6.99

5a + 2c = 21.43............Equation 3

Substituting 6.99 for c in Equation 3

5a + 2(6.99) = 21.43

5a + 13.98 = 21.43

5a = 21.43 - 13.98

5a = 7.45

a = 7.45/5

a = 1.49

4a + b = 11.45 ..........Equation 1

Substituting 1.49 for a in Equation 1

4(1.49) + b = 11.45

b = 11.45 - 4(1.49)

b = 11.45 - 5.96

b = 5.49

Therefore, since the charges

For each shirt = a

The charges for each Shirt = $1.49

For each pair of slacks = b

The charges for each pair of slacks = $5.49

For each sports coat = c

The charges for each sports coat = $6.99

3 0
2 years ago
It takes 12 men 5 days to complete a job
Rzqust [24]

It will take 3 men 20 days to complete the job.

6 0
3 years ago
Read 2 more answers
Solve the following equation algebraically: Negative 16 = 16 x squared How many solutions does this equation have? Explain. a. N
Stella [2.4K]

Answer:

The correct answer is b.

Step-by-step explanation:

16 {x}^{2}  =  - 16

{x}^{2}  =  - 1

No real solutions.

5 0
2 years ago
Which of the following expressions has a value of 26.48?
gulaghasi [49]

Answer:

26.48=\dfrac{662}{25}

Step-by-step explanation:

The given expression is 26.48. We need to write the equivalent expression for it. There are two numbers after decimal. It means that we can divide 2648 by 100 i.e.

26.48=\dfrac{2648}{100}

We know that, 2648 = 662 × 4 and 100 = 25 × 4

\dfrac{2648}{100}=\dfrac{662\times 4}{25\times 4}\\\\=\dfrac{662}{25}

Hence, 26.48=\dfrac{662}{25} is the equivalent expression.

3 0
3 years ago
Which linear function shows a direct variation?
alexandr402 [8]

Answer:

I think it is C

Step-by-step explanation:

6 0
2 years ago
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