Answer:
x ≥ 4
Step-by-step explanation:
–4(8 – 3x) ≥ 6x – 8
Distribute
-32 +12x ≥ 6x – 8
Subtract 6x from each side
-32 +12x-6x ≥ 6x-6x – 8
-32 +6x ≥ – 8
Add 32 to each side
-32 +32 +6x≥ 32– 8
6x ≥ 24
Divide by 6
6x/6 ≥ 24/6
x ≥ 4
Answer: 13 inches by 2 inches
Step-by-step explanation:
26 can be made by:
1 x 26
2 x 13
There are only 2 possibilities for the dimensions.
2 x 3 + 7 is 13, which fits the requirements.
Which means, the length is 13 and the width is 2.
Answer:
x = 2
Step-by-step explanation:
From the data, we obtain the slope :
-1, 8 ; 3, - 4
Slope = Rise / run
Rise = y2 - y1 = (-4 - 8) = - 12
Run = x2 - x1 = (3 - (-1)) = 4
Slope, m = - 12 / 4 = - 3
Recall:
Equation of line :
y - y1 = m(x - x1)
y - 8 = - 3(x + 1)
y - 8 = - 3x - 3
y = - 3x - 3 + 8
y = - 3x + 5
Substituting y = - 3x + 5 into the equation 2x+4y= 0
2x + 4(-3x + 5) = 0
2x - 12x + 20 = 0
-10x = - 20
x = 2
The best estimate of the solution to this system of equations is about (23,14)