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VladimirAG [237]
3 years ago
15

The probability that an event will occur is 3 over 4. Which of the following best describes the likelihood of the event occurrin

g?
Mathematics
1 answer:
NeX [460]3 years ago
6 0
There is a 75 percent chance the event will occur

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Rodney rented a machine for $70.00 to make popcorn at a school event. In addition to the machine rental cost, the popcorn suppli
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Answer:

100$

Step-by-step explanation:

he profit from 1 popcorn=0.85$

from 200=170$

170$-70$=100

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Can you help me show the work and give me the answer?
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The total distance must be greater than 80.  She has already ridden 18 miles.  And she will continue to ride m miles per day for at least 6 more days, so:

6m+18>80

More "work"...

distance>80

distance=18+6m

6m+18>80
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3 years ago
What is the value of the expression?
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8/15 divided by -0.35 is B. -32/21.
6 0
3 years ago
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Need Help with the composition of two rational functions. screenshot is below
igomit [66]

We just have to write one function inside the other:

(f\circ g)(x) = f(g(x))\\\\(f\circ g)(x) = f\left(\dfrac{13}{x+3}\right)\\\\(f\circ g)(x) = \dfrac{2}{\left(\dfrac{13}{x+3}\right)+3}\\\\(f\circ g)(x) = \dfrac{2}{~~\dfrac{13+3(x+3)}{x+3}~~}\\\\(f\circ g)(x) = \dfrac{2(x+3)}{13+3(x+3)}\\\\\boxed{(f\circ g)(x) = \dfrac{2x+6}{3x+22}}

Since we have a fraction with x in the denominator, we have to remove from the domain the value of  that makes null the denominator. Thus,

3x+22\neq0\Longrightarrow 3x\neq22\Longrightarrow x\neq \dfrac{22}{3}

Furthermore, we also have to remove the value of x that annuls the denominator of g(x), because that's the first function that we use. So:

x+3\neq0\Longrightarrow x\neq-3

Hence, the domain is:

D((f\circ g)(x)) = \left]-\infty,-3\right[\cup \left]-3,\dfrac{22}{3}\right[\cup\left]\dfrac{22}{3},\infty\right[

3 0
4 years ago
Write an equation of the line containing the given point and perpendicular to the given line:
bazaltina [42]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

2x+9y=5

9y = - 2x + 5

y = -2x/9 + 5/9

Comparing with the slope intercept form, slope = -2/9

If the line passing through the given point is perpendicular to the given line, it means its slope is the negative reciprocal of the slope of the given line.

Therefore, the slope of the line passing through (4,-9) is 9/2

To determine the intercept, we would substitute m = 9/2, x = 4 and y = -9 into y = mx + c. It becomes

- 9 = 9/2×4 + c = 18 + c

c = - 9 - 18 = - 27

The equation becomes

y = 9x/2 - 27

4 0
4 years ago
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