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3 years ago

If f(x) = 8 -3x and g(x) = 4x, solve gf(x) = 80

Mathematics

1 answer:

aev [14]3 years ago

7 0

Answer:

(f-g)(x)= f (x)- g (x) =4^x -1 +6 -(2x-5)

=4^x +5 -2x +5

=4^x -2x +10

Step-by-step explanation:

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Show both decimal places (5.06).

lilavasa [31]

a. the cost of a call for six minutes is 0.70.

b.the cost of a 14-minute call is 2.62.

c.the cost of a 9 ½2-minute call is 1.66.

given that

rate schedule for an m-minute call from any of its pay phones 0.70.

c(m) = 0.70 when m<=6

c(m) = 0.70+ 0.24(m-6) when m>6 & m is an integer

c(m) = 0.70+0.24((m-6)+1) when m>6 & m is not an integer.

a. to find the cost of a call for six minutes.

already given that c(m) =0.70 when m=6.

Therefore, the cost of a call for six minutes is 0.70.

b. to find the cost of a 14-minute call.

according to given information

$c(14) = 0.70 + 0.24(m - 6) \\ c(14) = 0.70 + 0.24(14 \: - 6) \\c(14) = 0.70 + (0.24 \times 14) - (0.24 \times 6) \\c(14) = 0.70 + (3.36 - 1.44) \\ c(14) = 0.70 + 1.92 \\ c(14) = 2.62$

Therefore,the cost of a 14-minute call is 2.62.

c.to find the cost of a 9 ½2-minute call

according to given information

$c(9 \frac{1}{2} 2) = 0.70 + 0.24((9 \frac{1}{2} 2 - 6) + 1) \\ c(9 \frac{1}{2} 2) = 0.70 + 0.24((9 - 6) + 1) \\ c(9 \frac{1}{2} 2) = 0.70 + 0.24(3+ 1) \\ c(9 \frac{1}{2} 2) = 0.70 + 0.24(4) \\ c(9 \frac{1}{2} 2) = 0.70 + 0.96 \\ c(9 \frac{1}{2} 2) = 1.66$

Therefore,the cost of a 9 ½2-minute call is 1.66.

Learn more about problems on cost of call, refer:

brainly.com/question/16584226

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4 0

1 year ago

Two numbers are in the ratio 7:8. Find the numbers if their sum is 45.

Galina-37 [17]

Let us assume the common ratio to be = x
Then
7x + 8x = 45
15x = 45
x = 45/15
= 3
Then the two numbers are
7x :8x
7 * 3:8 * 3
21: 24
Then the two numbers are 21 and 24. I hope the procedure in which the problem is done is clear to you. This is a simple but effective way of solving such problems. In future this method will make you confident about solving these kind of problems.

7 0

3 years ago

Read 2 more answers

You are having a discussion about sequences with your classmate. She insists that the sequence 2,3,5,8,12 must be a Arithmatic o

timofeeve [1]

<span>The arithmetic sequences have a constant difference between two terms. This sequence does not match this criterion, look: 12-8 = 4; 8-5=3; 5-3=2. Then it is not arithmetic. Let's examine whether it is geometric. Geometric sequences have a constant ration between adjacent terms: given that 3/2 is different to 5/3, and both are different to 8/5 and so on, this sequence does not either match this requirement. Then the sequence is not arithmetic or geometric.</span>

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3 years ago

Lindsey is an avid reader and reads 30 pages every 8 days. How many pages per day does Lindsey read?

Romashka [77]

Answer:

You use the total amount divided by the time.

The answer is 30/8, or 15/4

Step-by-step explanation:

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3 years ago

How to calulate the area of a square with a perimeter of 60 inches