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defon
3 years ago
8

Graph 3x + 4y = 12. y

Mathematics
1 answer:
Tema [17]3 years ago
3 0

Answer:

  see below

Step-by-step explanation:

To find the x- and y-intercepts, set each of the variables to zero and solve for the other:

  y-intercept: 0 +4y = 12   ⇒   y = 12/4 = 3

  x-intercept: 3x +0 = 12   ⇒   x = 12/3 = 4

Plot these points (0, 3) and (4, 0), and draw a straight line through them.

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Answer:

The probability that he rolls a sum of 9 given the sample space is . 9/36, or 1/4.

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Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

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For f(x) = 4x +1 and g(x) = x2 - 5, find (g/f) (x).
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Answer:

\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}

Step-by-step explanation:

f(x)=4x+1

g\left(x\right)=x^2\:-\:5

As

(g/f)(x) = g(x) / f(x)

            =\:\frac{x^2\:-\:5}{4x+1}\:\:\:\:\:\:

            =\frac{x}{4}+\frac{-\frac{x}{4}-5}{4x+1}

              =\frac{x}{4}-\frac{1}{16}+\frac{-\frac{79}{16}}{4x+1}

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Therefore,

\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}

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