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3 years ago

What is the equation of the line that is parallel to the line y = 1/3x + 4 and passes through the point (6, 5)?

1 answer:

6 0

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Find Slope
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y = -1/3 x + 4
Slope = -1/3
Slope of the parallel line = -1/3

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Insert slope into y = mx + c
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y = -1/3 x + c

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Find y-intercept
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y = -1/3 x + c
at point (6, 5)
5 = -1/3 (6) + c
5 = - 2 + c
c = 5 + 2
c = 7

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Insert y-intercept into y = -1/3x + c
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y = -1/3 x + 7

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Answer: y = -1/3 x + 7 (Answer B)
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2 years ago

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Step-by-step explanation:

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3 years ago

Will wanted to track the growth of various fruits in his garden, so he decided to label them. His garden had APPLES labeled 1,2,

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Answer:

8 in 11 or 0.7272

Step-by-step explanation:

Between 6 apples. 2 lemons and 3 melons, Will has a total of 11 fruits in his garden. There are three apples labeled with even numbers (2,4 and 6), one melon (2) and one lemon (2), for a total of five fruits.

The probability that a randomly selected fruit is an APPLE or has an EVEN number is given by the probability that it is an apple, P(A), added to the probability that it is even, P(E), minus the probability that it is an even apple, P(A and E):

$P(A\ or\ E) = P(A) +P(E) - P(A\ and\ E)\\P(A\ or\ E) = \frac{6}{11}+\frac{5}{11}-\frac{3}{11} \\P(A\ or\ E) = 0.7272$

There is a 8 in 11, or a 0.7272 chance that the fruit is an APPLE or has an EVEN number.

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3 years ago

How can you isolate the term -5m

AleksandrR [38]

Answer:

subtract 9 on both sides.

Step-by-step explanation:

-5m+9=12 --> -5m=7

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2 years ago

In order for the limit of F(X) to exist at x=a, which of the following must hold true

astra-53 [7]

Answer:

Step-by-step explanation:

Given: limit of f(x) exists at x = a

To choose: the correct option

Solution:

A limit is a value that a function approaches as the input approaches some value.

$\lim_{x\rightarrow a}f(x)=L$ means that as x approaches to value a then f(x) approaches to value L.

A limit of a function f(x) exists at x = a if $\lim_{x\rightarrow a^-}f(x)=\lim_{x\rightarrow a^+}f(x)=L$

So, option A. is correct.

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3 years ago