37(x-5) + 2 = 2(3-2x)...distribute thru the parenthesis
37x - 185 + 2 = 6 - 4x
37x - 183 = 6 - 4x
37x + 4x = 6 + 183
41x = 189
x = 189/41
x = 4.6
The result of multiplying the polynomials is (2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12
<h3>How to multiply the
polynomials?</h3>
The polynomial expression is given as
(2x + 3) (-x + 2y - 4)
Expand the brackets in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = 2x * (-x + 2y - 4) + 3 * (-x + 2y - 4)
Open the brackets in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 8x + -3x + 6y - 12
Evaluate the like terms in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12
Hence, the solution is -2x² + 4xy - 11x + 6y - 12
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Answer:
A traditional economy is a system that relies on customs, history, and time-honored beliefs. Tradition guides economic decisions such as production and distribution. Societies with traditional economies depend on agriculture, fishing, hunting, gathering, or some combination of them. They use barter instead of money.
Answer:
- 112 ft
- 3 - 7 seconds interval
Step-by-step explanation:
<u>Given function:</u>
<u>The height of the platform is the y-intercept, when t = 0:</u>
- f(0) = - 16*0 + 96*0 + 112 = 112 ft
The ball's height is decreasing once it reaches the maximum, which is at vertex.
<u>The vertex is at x = -b/2a:</u>
<u>The ball hits the ground when f(t) = 0:</u>
- - 16t² + 96t + 112 = 0
- t² - 6t - 7 = 0
- (t - 7)(t + 1) = 0
- t = 7 (positive root)
The interval is between 3 seconds and 7 seconds
