Answer:
<h3>
A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>
Step-by-step explanation:
H = 2x+6 - the hight
3H = 3(2x+6) - triple the hight
3H-5 = 3(2x+6) - 5 - five less than triple the height
Area of triangle: A = 0.5BH
B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13
H = 2x+6
So:
A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78
A = 6x² + 49x + 78
Answer:
its your first option.
Step-by-step explanation:
Brainliest?
Answer:
a) 46.98%
b) increasing rate of change
Step-by-step explanation:
In year 1987, investment worth $29800
In year 1997, investment worth $43800
Rate of change = 1997investment - 1987investment / 1987investment × 100
Rate of change = 43800 - 29800/29800 × 100
= 14000/29800 × 100
= 0.46979 × 100
= 46.98%
Therefore, the rate of change of the investment during the time period is 46.98%.
b) The rate of change of the investment is increasing. This is as a result of the following reasons. First, the value of rate of change is positive. Second, there is no value for rate of change for period before the time period so we cannot compare rate of change.
Answer:
None of the choices are correct.
Step-by-step explanation:
Let x be the width of the frame,
The framed art cannot me more than 320 square inches





By using the quadratic formula








Frame must not be more than 2.5 inches wide.
<span>simplified would be
</span><span>
2(x + 3)+ 8 + 5(x - 2) + 4x + 3
= 2x + 6 + 8 +5x -10 + 4x +3
= (</span>2x + 5x +4x ) + (6 + 8 -10 + 3)
=11x + 7