Answer:
f(x) = -5x-3
Step-by-step explanation:
f(x) = ax + b
f(2)=-13 & f(-3) =12
2a + b = -13
-3a+ b = 12
_________-
5a = -25
a = -5
b= -13+10= -3
so the formula of f(x) = -5x -3
Answers:
- <u>24000 dollars</u> invested at 4%
- <u>18000 dollars</u> was invested at 7%
======================================================
Work Shown:
x = amount invested at 4%
If she invests x dollars at 4%, then the rest (42000-x) must be invested at the other rate of 7%
She earns 0.04x dollars from that first account and 0.07(42000-x) dollars from the second account
This means we have
0.04x+0.07(42000-x)
0.04x+0.07*42000-0.07x
0.04x+2940-0.07x
-0.03x+2940
This represents the total amount of money earned after 1 year.
We're told the amount earned in interest is $2220, so we can say,
-0.03x+2940 = 2220
-0.03x = 2220-2940
-0.03x = -720
x = -720/(-0.03)
x = 24000 dollars is the amount invested at 4%
42000-x = 42000-24000 = 18000 dollars was invested at 7%
----------------------
As a check, we can see that
18000+24000 = 42000
and also
0.04x = 0.04*24000 = 960 earned from the first account
0.07*18000 = 1260 earned from the second account
1260+960 = 2220 is the total interest earned from both accounts combined
This confirms our answers.
Greetings :)
To find slope of two points we will need to use this equation: 
( 6 , -12 ) ( 15 , -3 )
Now let's replace the equation with the numbers. (it will be a fraction).
= 
The equation equals 9 over 9, which also equals 1.
The slope of the line is 1.
Answer:
Step-by-step explanation:
Verifying pairs:
(1,0)
- 0 = 6*1 - 2
- 0 = 4 - incorrect
(5, 28)
- 28 = 6*5 - 2
- 28 = 30 -2
- 28 = 28 - correct
(6, 20)
- 20 = 6*6 - 2
- 20 = 36 - 2
- 20 = 34 - incorrect
(3, 19)
- 19 = 6*3 - 2
- 19 = 18 - 2
- 19 = 16 - incorrect
