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spin [16.1K]
3 years ago
13

What is the equation of the line that passes through the point (-4, 4) and has a slope of -3

Mathematics
1 answer:
AnnZ [28]3 years ago
8 0

Answer:

y=-3x+4

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Answer:

B. 30 cars per hour

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Use the Venn diagram to calculate probabilities
Shkiper50 [21]

From the Venn diagram, we can gather that there are 35 total objects (6 in both A and B; 15 in A but not B; 10 in B but not A; and 4 in neither A nor B), and we have the probabilities

\mathbb P(A\cap B)=\dfrac6{35}

\mathbb P(A)=\dfrac{15+6}{35}=\dfrac{21}{35}=\dfrac35 (this is the answer)

\mathbb P(B)=\dfrac{10+6}{35}=\dfrac{16}{35}

By definition of conditional probability,

P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{\frac6{35}}{\frac{16}{35}}=\dfrac6{16}=\dfrac38

P(B\mid A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{\frac6{35}}{\frac{21}{35}}=\dfrac6{21}=\dfrac27

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3 years ago
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Step-by-step explanation:

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For the function: f(x) = 12 + 10x − 5x2<br> Find f(-6)
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-228

Step-by-step explanation:

I Used the given functions to set up and simplify f(-6)

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