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densk [106]
3 years ago
10

What is an explicit formula for "a one-time joining fee of $3.00 and $0.08 per message"?

Mathematics
1 answer:
satela [25.4K]3 years ago
4 0
(3+.08X)=FEES 
X= MASSAGES
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What is the volume of a cone (in cubic inches) with a radius of 2 inches and a height of 3 inches?
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volume of a cone equation 3.14( r^2) h/3

3.14(3^2)6/3

56.52

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Step-by-step explanation:

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Last PreCalc Question, Need help with writing piecewise functions with graphs. Giving brainliest!
LekaFEV [45]

The piece-wise linear functions can be written as follows:

  • f(x) = x, x \leq -2.
  • f(x) = -x - 7, -2 < x \leq 1.
  • f(x) = 2x - 9, x > 1.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:

f(x) = x, x \leq -2.

For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:

f(x) = -x - 7, -2 < x \leq 1.

For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:

m = (-3 - (-5))(3 - 2) = 2.

The rule is:

y = 2x + b.

When x = 2, y = -5, hence:

-5 = 2(2) + b

b = -9.

Hence:

f(x) = 2x - 9, x > 1.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0
2 years ago
Solve for n -8 = 6+n
bezimeni [28]

Answer:

no solution

Step-by-step explanation:

n -8 = 6+n

Subtract n from each side

n-n -8 = 6+n-n

-8 = 6

This is never true so there is no solution

8 0
3 years ago
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A scientist counts 25 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 25
Anvisha [2.4K]
y = 25\cdot~3^x\\ \\ 1170 = 25\cdot~3^x\\ \\ \frac{1170}{25} = 3^x\\ \\ \frac{243}{5} = 3^x\\ \\ log\ \frac{243}{5} = log~3^x\\ \\ log~243-log~5=x~log~3\\ \\ &#10; log~3^5-log~5=x~log~3\\ \\ 5~log~3-log~5 = x~log~3\\ \\ 5(0,48)-0,70= 0,48x\\ \\ 2,4-0,7 = 0,48x\\ \\ 1,7=0,48x\\ \\ x=\frac{1,7}{0,48}\\ \\ \large{\boxed{x=3,54\ h}}
6 0
3 years ago
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