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Ket [755]
3 years ago
8

Find the equation of the line in slope intercept form

Mathematics
2 answers:
Ann [662]3 years ago
4 0

Answer:

y = 1/3x - 3

Step-by-step explanation:

First, find the slope

(3, -2)

(0, -3)

-2-(-3) = 1

3 - 0 = 3

Slope = 1/3

Now, find the y intercept

y = mx + b

-2 = 3 * 1/3 + b

-2 = 1 + b

-3 = b

Rewrite the equation

y = 1/3x - 3

Please let me know if I did something wrong!

Jlenok [28]3 years ago
3 0

Answer:

y= 1/3x-3

Step-by-step explanation:

rise /run

-3 is the point you start

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Your friend has a bag of 20 marbles. Seven
Elis [28]

Answer:

20%

Step-by-step explanation:

First, I added them up. From the things we know, blue, red, green, yellow combined equals 16 marbles. 20-16 equals 4. So there are 4 white marbles. 4/20 times 5 equals 20/100. So the percent of the marbles that are white is 20%.

6 0
3 years ago
Read 2 more answers
Find f(x) and g(x) so that the function can be described as y = f(g(x)).<br><br> y = 4/x^2+9
dlinn [17]

I'm assuming all of (x^2+9) is in the denominator. If that assumption is correct, then,

One possible answer is f(x) = \frac{4}{x},  \ \ g(x) = x^2+9

Another possible answer is f(x) = \frac{4}{x+9}, \ \ g(x) = x^2

There are many ways to do this. The idea is that when we have f( g(x) ), we basically replace every x in f(x) with g(x)

So in the first example above, we would have

f(x) = \frac{4}{x}\\\\f( g(x) ) = \frac{4}{g(x)}\\\\f( g(x) ) = \frac{4}{x^2+9}

In that third step, g(x) was replaced with x^2+9 since g(x) = x^2+9.

Similar steps will happen with the second example as well (when g(x) = x^2)

4 0
3 years ago
Can someone help me out with this question?
goblinko [34]

Answer:

The third option

Step-by-step explanation:

The third option represents 65 over 100, meaning 65% of whatever of it would the 65% of 90 be

6 0
3 years ago
What is the value of x ?<br> A. 55 <br> B. 50<br> C. 160<br> D. 20
lakkis [162]
The correct option would be C
6 0
3 years ago
Joe is considering taking out along with the principal of $15,500 From one of two banks. Bank A charges and interest rate of 6%,
ki77a [65]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total cost of the loan at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount taken as loan.

Considering bank A's offer

From the information given,

P = $15500

r = 6% = 6/100 = 0.06

n = 12 because it was compounded 12 times in a year.

t = 8 years

Therefore,

A = 15500(1 + 0.06/12)^12 × 8

A = 15500(1 + 0.005)^96

A = 15500(1.005)^96

A = $25019.2

The interest paid is

25019.2 - 15500 = $9519.2

Considering bank B's offer

From the information given,

P = $15500

r = 6.5% = 6.5/100 = 0.065

n = 12 because it was compounded 12 times in a year.

t = 7 years

Therefore,

A = 15500(1 + 0.065/12)^12 × 7

A = 15500(1 + 0.0054)^84

A = 15500(1.0054)^84

A = $24366

The interest paid is

24366 - 15500 = $8866

The interest that would by paid on bank B's offer is lower than that of bank A and the duration of the loan offer from bank B is shorter than that of bank A.

Therefore,

Bank A gives you more time to pay up the loan and you end up paying more interest

Bank gives you lesser time to pay up the loan and you end up paying lesser interest.

3 0
3 years ago
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