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Maru [420]
3 years ago
15

find the range of the function f(x) = 4x - 1 for the domain {-1, 0, 1, 2, 3}. {-5, -3, 0, 7, 11} {-5, -4, -3, -2, -1} {-11, -7,

-3, 1, 5} {-5, -1, 3, 7, 11}
Mathematics
1 answer:
Papessa [141]3 years ago
5 0
Range = {4(-1) - 1, 4(0) - 1, 4(1) - 1, 4(2) - 1, 4(3) - 1} = {-4 - 1, 0 - 1, 4 - 1, 8 - 1, 12 - 1} = {-5, -1, 3, 7, 11}
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The Venn diagram shows the results of two events resulting from rolling a number cube.
tankabanditka [31]

Answer:

P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{1}{3}

P(A) =\frac{2}{3}

P(B) =\frac{1}{2}.

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

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Then note that in the region representing the intercept of A and B there are two possible values.

So

P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

So

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In the region that represents event B there are 3 possible outcomes {1, 2, 6}

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P(B) = \frac{3}{6} = \frac{1}{2}.

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P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}

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2. Rate of Change is slope. Your points are (0,10) and (24,6) so slope is (6-10)/(24-0)
= - 1/6 which means that for each 1 unit increase in x, y decreases by 1/6.

3. Standard form is ax + by =c
Notice it is the same line as in the first graph so it's the same equation
y = 1/3x - 3
First, you cannot have fractions, so you have to multiply the equation by 3 to get rid of the 1/3.
3y= x - 9. Now move the x over:
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3 years ago
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Answer:

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