Answer:
a = 11/12
Step-by-step explanation:
1/3 + a =5/4
Subtract 1/3 from each side
1/3-1/3 + a =5/4-1/3
a = 5/4 -1/3
Get a common denominator of 12
a = 15/12 - 4/12
a = 11/12
Answer:
1/5 lawn = 20 min.
? = 1 min
0.05 lawn in 1 minute
rate of 0.05 mowed per minute.
Hey there! :)
Answer:
f(x) = x³ -6x² -16x. (Simplified)
Step-by-step explanation:
Given:
Zeros: -2, 0, 8; degree: 3
To begin, write the polynomial in factored form involving the zeros:
f(x) = x(x + 2)(x - 8).
If you were to convert this to standard form, you would FOIL the factors:
f(x) = x(x + 2)(x - 8)
f(x) = x(x² -6x -16)
f(x) = x³ -6x² -16x. This is your equation in standard form.
The answer is x² + 23x + 49
The area (A) of the shaded region is the difference between the area of the rectangle (A1) and the white square (A2).
A = A1 - A2
A1 = (x + 10)(2x + 5)
= 2x² + 5x + 20x + 50
= 2x² + 25x + 50
A2 = (x +1 )² = x² + 2x + 1
A = A1 - A2
= 2x² + 25x + 50 - (x² + 2x + 1)
= 2x² + 25x + 50 - x² - 2x - 1
= x² + 23x + 49
