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Pavlova-9 [17]
1 year ago
6

use the point-slope equation to identify the slope and the coordinates of a point on the line y – 4 = 1/2 (x – 1). the slope of

the line is . a point on the line is

Mathematics
2 answers:
mihalych1998 [28]1 year ago
7 0

Answer:

The slope of the line is \dfrac{1}{2} and a point on the line is (1, 4)  

Step-by-step explanation:

The general point slope of line passing through (x_1,y_1) and having slope as m.

y-y_1=m(x-x_1)

The given equation of the straight line,

y-4=\dfrac{1}{2}(x-1)

Comparing this to the general equation we get the point as (1, 4) and slope as \dfrac{1}{2}

Elden [556K]1 year ago
7 0

we know that

The equation of the line into point-slope form is equal to

y-y1=m(x-x1)

where

m is the slope

(x1,y1) is the point

In this problem we have

y-4=\frac{1}{2}(x-1)

therefore

<u>The slope is equal to</u>

m=\frac{1}{2}

<u>The point is equal to</u>

(1,4)

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Luisa and Connor had $360 altogether . After Connor gave Luisa 2/5 of his money, she had the same amount of money has he did. Ho
Liula [17]

Answer:

$300

Step-by-step explanation:

Let's say that L is the amount of money Luisa had in the beginning, and C is the amount of money Connor had in the beginning.

C + L = 360

C - 2/5 C = L + 2/5 C

Simplifying the second equation:

3/5 C = L + 2/5 C

1/5 C = L

Substituting into the first equation:

C + 1/5 C = 360

6/5 C = 360

C = 300

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2 years ago
If g(x) = 2x + 2 and h(x) = 4x2 + 8x + 8, find a function f such that f ∘ g = h. (Think about what operations you would have to
agasfer [191]

Answer:

Step-by-step explanation:

Hello,

(\forall x \in \mathbb{R}) (fog)(x)=f(g(x))=f(2x+2)=h(x)=4x^2+8x+8\\\\=(2x+2)^2-2^2+4(2x+2)\\\\=(2x+2)^2+4(2x+2)-4\\\\\text{So, we conclude by.}\\\\\large \boxed{\sf \bf f(x)=x^2+4x-4}

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Which expression is equivalent to 12r + 8p –34r – 2p?
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Answer:

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Step-by-step explanation:

If you want the explanation just tell me

3 0
1 year ago
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In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6, what would be the standard dev
tresset_1 [31]

Answer:

The standard deviation of that data set is 3.8

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

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95% of the data fall between 47.4 and 62.6. This means that 47.4 is 2 standard deviations below the mean and 62.6 is two standard deviations above the mean.

Using one of these points.

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2sd = 7.6

sd = 7.6/2

sd = 3.8

The standard deviation of that data set is 3.8

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