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iVinArrow [24]
3 years ago
14

What is the slope of the line passing through the points (2, −5) and (4, 1)?

Mathematics
1 answer:
Yuri [45]3 years ago
8 0

Slope =change of y over change of x


(2, −5) and (4, 1)


M= 1-(-5)/4-2

M=6/2

M=3


So the slope is 3.


If you need the equation


Y=mx+b


(4, 1)


1= 3(4)+b

1=12+b

1-12=b

-11=b


So equation


Y=3x-11

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Leto [7]

Answer:

$57.50

Step-by-step explanation:

1480 = 100 + 24x

1480 - 100 = 24x

1380 = 24x

x = 1380/24

x = $57.50, where x represents the monthly payments.

3 0
4 years ago
Maria runs 7 miles in 80 minutes. at the same rate, how many miles would she run in 64 minutes​
Alex777 [14]

Answer:

5.6 miles

Step-by-step explanation:

Firstly, we need to find the unit rate (the number of miles in 1 minutes).

To get this, we need to divide total miles ran (7 miles) by the total minutes taken (80 minutes). Thus, we will have MILES PER MINUTE.

7 miles ÷ 80 minutes = 7/80 miles per minute

Now,

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THus,

\frac{7}{80}*64=\frac{56}{10}=5.6

So, in 64 minutes, Maria can run 5.6 miles

6 0
3 years ago
Find the minimum or maximum value of the function g(x)=−3x2−6x+5
polet [3.4K]

Step-by-step explanation:

g(x) = ax²+bx+c

g(x)=−3x²−6x+5

a = -3, b= -6, c = 5

since a <0 , the function has only maximum value.

=> g'(x) = 0

-6x -6 = 0

-6x = 6

x = -1

the maximum value => g(-1) =

-3(-1)²-6(-1)+5 = -3+6+5 = 9

the domain : {x | x € Real numbers}

the range : {y| y ≤ 9, y € Real numbers}

the function is increasing for x < -1

the function is decreasing for x > -1

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3 years ago
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hodyreva [135]

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Step-by-step explanation:

4 0
3 years ago
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What’s the answer to
Roman55 [17]

Hint: the sum of the angles is equal to 180 in a triangle. could you make an equation to use that?

3x+13, 7x+2, and 75 are the three angle values. They will sum up to 180.

Steps:

We set the equation to:

3x+13+7x+2+75=180

We can combine some terms

10x+90=180

Then, we isolate x

10x=90

And we divide by 10

x=9

Great! but we are not done yet. We want the measure of angle A, so we need to plug x back into the equation for angle a

3(9)+13

Multiply

27+13

Add

40

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2 years ago
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