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ololo11 [35]
3 years ago
15

Graph the line that passes through the points (-1,7) and (-3,5) and determine

Mathematics
1 answer:
kari74 [83]3 years ago
5 0

Answer:

y = x + 8

Step-by-step explanation:

find slope first:

m = 7-5 / -1-(-3)

m = 2 / 2

m = 1

now find the y-intercept using either ordered pair; plug 'y', 'x', and 'm' into

y = mx + b  to solve for 'b'

7 = 1(-1) + b

7 = -1 + b

8 = b

put 'm' and 'b' into slope-intercept equation of a line, y = mx + b to get:

y = x + 8

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Marrrta [24]

Answer:

Part A: She borrowed: 3700

Part B: She would pay 555 in interest.

Step-by-step explanation:

Since, simple interest is,

Where, P is the principal amount,

r is the annual rate of interest,

t is time ( in years ),

Part A :  Here, S.I. = $ 444,

t = 3 years,

r = 4 %,

Thus,

Hence, She borrowed $ 3700.

Part B :

Here, r = 5 %, t = 3 years, P = $ 3,700,

Hence, She would pay $ 555 interest.

6 0
3 years ago
Read 2 more answers
Use f(x)=5x+2 and g(x)=3-x. what is the value of f(g(-1)) and g(f(-1))?
Leya [2.2K]

Answer:

f(g(-1)) = 22

g(f(-1))=6

Step-by-step explanation:

We are given

f(x)=5x+2 \\g(x)=3-x

We need to find f(g(-1)) and g(f(-1))

Finding f(g(-1))

First we will find f(g(x)) i.e

f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17

Now finding f(g(-1)) by putting x=-1

f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22

So, f(g(-1)) = 22

Finding g(f(-1))

First we will find g(f(x)) i.e

g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1

Now finding g(f(-1)) by putting x=-1

g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6

So, g(f(-1))=6

4 0
3 years ago
USING FORMULAR METHOD SOLVE<br>4x²+9x-9=0​
emmasim [6.3K]

Answer:

Exact form: x = 3, -3/4 or Decimal form: x = .75, -3

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact form:

x = 3/4, -3

Decimal form:

x = .75, -3

7 0
4 years ago
Write -1/6, 5/3, -5/6 in order from least to greatest
mash [69]
The easiest way to compare fraction is to make them all have the same denominator and then you can just compare the numerators...

-1/6, (5/3)(2/2), -5/6

-1/6, 10/6, -5/6  so from least to greatest

-5/6, -1/6, 10/6

-5/6, -1/6, 5/3
5 0
3 years ago
How far apart are the foci of an ellipse with a major axis of 34 feet and a minor axis of 16 feet?
My name is Ann [436]

The foci of an ellipse are (c,0) & (-c,0)

Where c² = a² - b²

The major axis is 34 feet

So 2a = 34

Dividing by 2 on both sides

a = 17

Also minor axis is 16 feet

So 2b = 16

Dividing by 2 on both sides

b = 8

Now we know

c² = a² - b²

c² = 17² - 8² = 289 - 64 = 225

Taking square root on both sides

c = 15 feet

Now the two foci are (15,0) & (-15,0)

Distance between these points is 15 - (-15) = 15 + 15 = 30

The distance between the two foci is 30 feet.

4 0
4 years ago
Read 2 more answers
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