Answer:
its correct youre good
Step-by-step explanation:
graph says it all
Answer:
Step-by-step explanation:
a) 4x¹⁰ = 2² * x¹⁰
64x² = 2⁶ *x²
GCF = 2² * x² = 4x²
b) 4x¹⁰ - 64x² = 4x²*(x⁸ - 16)
=4x² *[ (x⁴)² - 4²]
= 4x² * (x⁴ + 4) (x⁴ - 4)
= 4x² * (x⁴ + 4)* [(x²)²- 2²]
=4x² * (x⁴ + 4) * (x² + 2)(x² - 2)
Answer:
x= 3, 1
Step-by-step explanation:
Here we will explain how to calculate two thirds of 864.
Two thirds of 864 is simply two thirds times 864, which can be written as follows:
Two/thirds x 864
Furthermore, you can convert "two" to "2" and "thirds" to "3" and then the equation and answer is:
2/3 x 864 = 576.00
Two thirds written as a fraction is 2/3. You can also write it as a decimal by simply dividing 2 by 3 which is 0.67.<span>If you multiply 0.67 with 864 you will see that you will end up with the same answer as above. </span>
<span>You may also find it useful to know that if you multiply 0.67 with 100 you get 66.67. Which means that our answer of 576.00 is 66.67 percent of 864. </span>
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].
