Y= f(x)= ax+b
when x= -1, y= -1
-1= -a+b | * ( -1)
when x= -3, y=2
2= -3a+b
-3a+b= 2
a - b= 1
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2a=3
a=3/2 is the slope
Answer:
Answers provided below
Step-by-step explanation:
From the simultaneous linear equation, we have the coefficient matrix as;
(3 4 5)
(2 -1 8)
(5 -2 7)
The x-matrix is Dx is given by;
(18 4 5)
(13 -1 8)
(20 -2 7)
Similarly, the y-matrix Dy is given by;
(3 18 5)
(2 13 8)
(5 -20 7)
Also,the z-matrix Dz is given by;
(3 4 18)
(2 -1 13)
(5 -2 -20)
Determinant of the coefficient matrix from online determinant calculator is;
D = 136
Determinant of the x-matrix from online determinant calculator is; Dx = 92
Determinant of the y-matrix from online determinant calculator is; Dy = 696
Determinant of the z-matrix from online determinant calculator is; Dz = 576
From crammers rule;
x = Dx/D = 92/136
y = Dy/D = 696/136
z = Dz/D = 576/136
Answer:
Andrea is making a sandbox.She has made a wooden frame in her backyard that is 6 feet long, 6 feet wide, and 2 feet deep. She can purchase sand for $30 per cubic meter. How much will it cost for her to purchase sand? Hint: 1 foot equals 0.3048 meters.
Step-by-step explanation:
If the equation is f(x)=2x+5
The domain is 2x+5
If the range is 1, the domain is 7
<u>Direct Variation:</u> 

when y = 7: 
14 = 15x

<u>Inverse variation:</u> y*x = k
15 * 2 = k
30 = k
when y = 7: 7 * x = 30
