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Marrrta [24]
3 years ago
12

Find the equation of the line that contains the point (3,9) and is parallel to the line y=4x+1. Write the line in slope-intercep

t form. Graph the lines
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
5 0
Y = 4x + 1....slope here is 4. A parallel line will have the same slope

y = mx + b
slope(m) = 4
(3,9)...x = 3 and y = 9
now we sub and find b, the y int
9 = 4(3) + b
9 = 12 + b
9 - 12 = b
-3 = b

so ur parallel equation is : y = 4x - 3
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Answer:

The average rate of change is equal to \frac{3}{4}\frac{homeruns}{game}

Step-by-step explanation:

we have

n(x)=\frac{3}{4}x -----> this is a linear direct variation

we know that

The rate of change of a linear variation is a constant

The rate of change of a linear variation is equal to the slope of the line

In this problem the slope of the line is equal to m=\frac{3}{4}\frac{homeruns}{game}

therefore

The average rate of change is equal to \frac{3}{4}\frac{homeruns}{game}

<u>Verify</u>

the average rate of change is equal to

\frac{n(b)-n(a)}{b-a}

In this problem we have

n(a)=n(12)=\frac{3}{4}(12)=9\ homeruns  

n(b)=n(60)=\frac{3}{4}(60)=45\ homeruns  

a=12\ games

b=60\ games

Substitute

\frac{45-9}{60-12}=\frac{3}{4}\frac{homeruns}{game}

4 0
3 years ago
Aaron is standing at point C, watching his friends on a Ferris wheel. He knows that he is looking up at a 57° angle and the meas
Afina-wow [57]

Answer: the answer is 194

Step-by-step explanation:

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3 years ago
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Ron has 24 coins with a total value of $3.00. The coins are nickels (5 cents) and quarters (25 cents). How many of each coin doe
Vesna [10]

Answer:

Ron has 15 nickels and 9 quarters

Step-by-step explanation:

Create a system of equations where n is the number of nickels and q is the number of quarters he has:

n + q = 24

0.05n + 0.25q = 3

Solve by elimination by multiplying the top equation by -0.25

-0.25n - 0.25q = -6

0.05n + 0.25q = 3

Add them together and solve for n:

-0.2n = -3

n = 15

So, Ron has 15 nickels. Find how many quarters he has by subtracting 15 from 24:

24 - 15

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So, Ron has 15 nickels and 9 quarters.

3 0
3 years ago
Please help me with this problem! If anybody answers first in this, i will give brainliest to you! Be the first one to answer th
MA_775_DIABLO [31]

Answer:

32 remainder 2

Step-by-step explanation:

To divide 162 by 5, we simply do the following:

5 goes into 16 => 3

Multiply 5 by 3 => 3 × 5 = 15

Subtract 15 from 16 => 16 – 15 = 1

Put the 1 before 2 => 12

5 goes into 12 => 2

Multiply 5 by 2 => 5 × 2 = 10

Subtract 10 from 12 => 12 – 10 => 2

In summary,

162 divided by 5 => 32 remainder 2

Please see attached photo for further details.

4 0
2 years ago
How do you factor these three trinomials?
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Answer:

here this should help you understand.

Step-by-step explanation:

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:completing-square-quadratics/v/completing-the-square-to-solve-quadratic-equations

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