X^3 - x^2 - 2x = 0
x ( x^2 - x - 2 ) = 0
x (x-2) (x+1) = 0
x = 0
x-2 = 0 --> x = 2
x+1 = 0 --> x = -1
x = 0, x = 2, x = -1
If the original logo is 2 inches wide and the logo has to be 8 inches wide, then the new logo will be 4 times larger. Therefore, we have to multiply 1.5 by 4 to get our new height.
1.5 x 4 = 6 inches tall.
Hope this helped!
Total capacity = sum of the individual production capacities.
Here,
Total capacity = sum of f(m) = (m + 4)^2 + 100 and g(m) = (m + 12)^2 − 50.
Then f(m) + g(m) = (m + 4)^2 + 100 + (m + 12)^2 − 50.
We must expand the binomial squares in order to combine like terms:
m^2 + 8 m + 16 + 100
+m^2 + 24m + 144 - 50
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Then f(m) + g(m) = 2m^2 + 32m + 160 + 50
f(m) + g(m) = 2m^2 + 32m + 210, where m is the number of
minutes during which the two machines operate.
Find the area of the shaded rectangle and then the second. Subtract them from eachither giving you the proper area of the shade grey rectangle
