Answer: q³⁰
Explanation:
First just solve the first part using the exponent rules
p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.
Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.
Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰
1570.29 Is what I came up with, though I'm not entirely certain. I just figured I'd give it a shot
The function is y = 1/2 x² - 2 x and the base of the triangle cannot be 3 cm.
let the base of the triangle be x
Height of the triangle = x - 4
Area of triangle = 1/2 × base × height
Area = 1/2 × x × (x-4)
Area = 1/2 (x² - 4x)
Area = 1/2 x² - 2 x
We can also write it as a function:
y = 1/2 x² - 2 x
Domain = (3 , ∞)
Range = [0, ∞)
Since 3 is not included in the domain, base of the triangle cannot be 3 cm.
Therefore, the function is y = 1/2 x² - 2 x and the base of the triangle cannot be 3 cm.
Learn more about function here:
brainly.com/question/2456547
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Answer:
24.
Step-by-step explanation:
With composition of functions (as with the order of operations) we perform what is inside of the parentheses first. So, g(3)=2(3)+2=8 and then f(8)=24.
