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2 years ago

What is the equation in slope-intercept form that passes through the points (-3,4) and (3,2).

Mathematics

1 answer:

Shkiper50 [21]2 years ago

8 0

Answer:

y = -1/3x +3

Step-by-step explanation:

the slope, m, is equal to the rise over the run

m = (y2-y1) / (x2-x1)

m = (2-4) / (3+3)

m = -2/6 = -1/3

y-y1 = m (x-x1)

y-4 = -1/3(x+3)

y -4 = -1/3x - 1

y = -1/3x -1 +4

y = -1/3x + 3

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What is standard form in slope

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Answer:

The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers. We can convert a point slope equation into standard form by moving the variables to the left side of the equation.

Step-by-step explanation:

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3 years ago

Michael has $1,036.89 in his checking account. He is going to spend $495.05 on a new television, and he will spend the rest on s

san4es73 [151]

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$495.84

Step-by-step explanation:

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3 years ago

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I WILL GIVE U A CROWN.......

steposvetlana [31]

<h3>Answer: Likely it's choice D) </h3>

See below for the explanation why

========================================================

down payment = 22% of home value

down payment = 22% of $426,000

down payment = 0.22*426,000

down payment = 93,720 dollars

The remaining amount mortgaged (i.e. loaned out) is

home value - (down payment) = 426,000 - 93,720 = 332,280

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The monthly payment formula is

P = (L*i)/(1 - (1+i)^(-n))

where,

P = monthly payment
L = amount loaned
i = monthly interest rate in decimal form
n = number of months

In this case,

L = 332,280 dollars
i = 0.0525/12 = 0.004375 which is exact without any rounding
n = 20*12 = 240 months (equivalent to 20 years)

Plugging those three values into the formula mentioned gets us the following:

P = (L*i)/(1 - (1+i)^(-n))

P = (332,280*0.004375)/(1 - (1+0.004375)^(-240))

P = 2,239.0493959316

P = 2,239.05

Multiply this monthly payment by the 240 months mentioned.

2,239.05*240 = 537,372

This is the total amount paid back (principal + interest)

Add on the down payment to find out how much money total is handed over: 537,372 + 93,720 = 631,092

Unfortunately $631,092 is not listed as one of the answer choices. The closest would be D) $631,057

I'm not sure if I made a rounding error somewhere, or perhaps your teacher is using an amortization table. It's also possible your teacher made a typo somewhere. I'd ask them for clarification.

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2 years ago

Help me llliad plz neeeeeeed help

Lapatulllka [165]

Lets get started :)

Diameter = 2.5 ft
Radius = $\frac{diameter}{2} = \frac{2.5}{2} = 1.25$

a) The Circumference formula of a circle is given in the picture below, we can plug-in the given information

C = 2 $\pi$ (1.25) or 2.5 $\pi$
≈ 7.85 ft
(we can leave the answer in terms of pi { $\pi$ })

b) We divide the total number of distance the tire will travel by the circumference to find how many times the tire will roll

$\frac{5280}{circumference} = \frac{5280}{2.5 \pi }$
(I have used the value in feet because we found the circumference in feet units and notice that I took the value of circumference to be 2.5 $\pi$ instead of 7.85, to increase accuracy)

672.2

The tire will rotate 672 times (a tire cannot roll a decimal times, so we take to the nearest whole number) to travel 1 mile

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3 years ago