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GaryK [48]
2 years ago
10

Write an equation in standard form of the line that passes through the given point and has the given slope (-8,0); m= -4 PLEASE

HELP NEED DONE ASAP WILL GIVE BRAINLIEST
Mathematics
2 answers:
Natasha_Volkova [10]2 years ago
8 0

Using the equation y - y1 = m(x - x1)

y - 0 = -4(x - (-8))

y = -4(x + 8)

y = -4x - 32

PolarNik [594]2 years ago
3 0

Answer:

4x+y=-32

Step-by-step explanation:

given,

slope (m) = -4

point: (-8,0)

as we know the slope intercept form of the line is, y=mx+b, b=y-mx, now we put x=-8, y=0 to find b [because the point is given (-8,0) so it must satisfy the equation]

so,

b = 0-(-4)×(-8) = -32

y=mx+b

or, y=-4x-32

or, 4x+y=-32

(this is the standard form of the line)

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Paladinen [302]

Answer:

no

Step-by-step explanation:

12 squared plus 5 squared=169

5 0
3 years ago
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

M = z\frac{\sigma}{\sqrt{n}}

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

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7 0
3 years ago
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ollegr [7]

Answer:

The lines moves lower.

Step-by-step explanation:

The steepness of a line is related to the slope, m.

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7 0
2 years ago
Which is the better buy, 7 pounds for $8.47 or 9 pounds for $11.07?
wel
Let us take the case of 7 pounds for $8.47 first.
7 pounds of a product costs = 8.47 dollars
Then
1 pound of the same product will cost = (8.47/7) dollars
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Now let us take the case of 9 pounds for $11.07
9 pounds of a product costs = 11.07 dollars
Then
1 pound of the same product will cost = (11.07/9) pounds
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7 0
2 years ago
Read 2 more answers
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il63 [147K]

Answer:

(2,8]

Step-by-step explanation:

Given

The attached piece wise function

Required

The domain

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The inequalities are:

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Combine the first two inequalities:

2 < x < 8    and   x \ge 8

For the inequality to be true, we must have:

2 < x \le 8

In interval notation, the inequality is:

(2,8]

6 0
2 years ago
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