Answer:
y = 0.7(x^2 - 64x - 576)
Average rate of change = -49.
Step-by-step explanation:
As the x intercepts are -8 and 72 we can write the equation
y = a(x + 8)(x - 72) where a is some constant to be found.
As it passes through point (62, -490) we have, substituting:
-490 = a(62+8)(62-72)
-490 = - 700a
a = 0.7
So the equation of the parabola
y = 0.7(x + 8)(x - 72) or
y = 0.7(x^2 - 64x - 576).
Average rate of change between x = -8 and x = 2
= [0.7(2+ 8)(2 - 72) - 0.7(-8+8)(-8-72)] / (2 - -8)
= -490 - 0 /10
= -49
This may look a little confusing but all you have to do is plug the equation given for h(x) which is 2x-5 in to the h(x) area in the equation where it says h(x) + g(x).
So far that’s (2x-5) + g(x)
Then,
Do the same with equation given for g(x) which is now,
(2x-5) + (3x+1)
Then solve,
2x - 5 + 3x + 1
2x + 3x- 5 + 1
5x - 4
Therefore the answer is 5x - 4.
The growth factor for the annual rate of change +100% is 2.
A quantity must vary by a specific percentage each time period in order for growth or decay to be exponential.
With the function displayed to the right, you may represent exponential growth or decay.
A(x) = a( 1 + r)ˣ
Where A is the amount after x time periods, a is the initial amount, x is the number of time periods, and r is the rate of change.
Now, we have the annual rate of change as:
r = + 100% = + 1
From the function A(x) = a( 1 + r)ˣ , the corresponding factor is 1 + r.
So, let B = 1 + r
B = 1 + r
B = 1 + (+1)
B = 2
Now, the value of B is greater than 1 therefore, the corresponding growth factor is 2.
Learn more about growth and decay factor here:
brainly.com/question/167022014
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Answer:
No, the expressions are NOT equivalent.
Step-by-step explanation:
Solve each:
11t - 4t
(11 × 2) - (4 × 2)
22 - 8
= 14
4t - 11t
(4 × 2) - (11 × 2)
8 - 22
= -14
14 is NOT equivalent to -14