Easy peasy
slope=(change in rise)/(change in run)
aka
slope between points (x1,y1) and (x2,y2) is
slope=(y2-y1)/(x2-x1) since y is rise/up and x is run/leftright
points
(-7,-9) and (-5,-8)
x1=-7
y1=-9
x2=-5
y2=-8
remember minusing a negative means addin a positive
slope=(-8-(-9))/(-5-(-7))=
(-8+9)/(-5+7)=1/2
slope=1/2
positive slopes go from bottom left to top right
since it is less than 1
it is more horizonal than vertical
y = x^2 -4x
x = -1
y = (-1)^2 - 4×-1=1+4 = 5
x= 0
y = (0)^2 - 4×0 = 0
x = 1
y = 1^2 -4×1 = 1-4 = -3
x = 2
y = 2^2 -4×2 = 4-8 = -4
x=3
y = 3^2 - 4×3 = 9-12 = -3
x = 4
y = 4^2 - 4×4 = 16 - 16 = 0
now 2nd equation
y = 2x^2 + x
x = -2
y = 2 (-2)^2 + (-2)= 8-2 = 6
x = -1
y = 2 (-1)^2+(-1)= 2-1 = 1
x = 0
y = 2(0)^2 +0 = 0
x = 1
y = 2 (1)^2 + 1 = 3
x = 2
y = 2(2)^2+2= 8 + 2 = 10
Answer:
no solution
Step-by-step explanation:
2w + 7 = 2(w + 5) - 8
Distribute
2w+7 = 2w+10-8
Combine like terms
2w+7 = 2w+2
Subtract 2w from each side
7 = 2
This is never true so there is no solution
Answer:
$41.16
Step-by-step explanation:
Length of bricks required = 35 feet, length of brick sold = 10 inches, cost of 10 inches brick = $0.98 per brick
Total number of brick required to build the back yard = Length of bricks required ÷ Length of brick sold
1 ft = 12 inches
Number of brick required = (35 * 12) ÷ 10
Number of bricks required = 42 bricks
Cost of brick required = Per length cost of brick * Number of bricks required
Cost of brick required = 0.98 * 42
Cost of brick required = $41.16
Ms. Fontanges would spend $41.16 on the purchase of bricks
Yes, with exceptions. It is possible to express every decimal as a fraction,
without rounding, unless the decimal is non-terminating AND non-repeating.