Answer:
5) 0 6 ) 1/4
Step-by-step explanation:
So the slope ( gradient ) of line E is 0 because it is straight and it as no slope
The slope of line F is 1/4 because:
Gradient = y^2 - y^1 / x^2 - x^1
Gradient = 2-0 / 6- -2
Gradient= 2 / 8
2/8 in lowest term is 1/4
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286 ÷ 5 1/2 hours = 286 ÷ 5.5 = 52 final answer
<span>t's call P the number of art brushes that Monique has.
Chelsea has 11xP (that is 11 times as many as Monique)
Together they have:
P + 11xP = 12xP
That means 12xP = 60 (60 is the number of art brushes they have together)
In order to find how much is P, we need to divide:
60 Ă· 12 = 5 brushes
P = 5 ; that means has Monique 5 art brushes.
Chelsea has 11 times as many art brushes as Monique:
11 x 5 = 55 brushes</span>
The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.
<h3>What is the average rate of change?</h3>
The average Rate of Change of the function f(x) can be calculated as;
![f(x) = \dfrac{f(b) - f(a)}{b-a}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cdfrac%7Bf%28b%29%20-%20f%28a%29%7D%7Bb-a%7D)
Interval -3 ≤ x ≤-1
a = -3, b = -1
f(a) = f(-3) = -20
f(b) = f(-1) = 0
Step 2: Find Average
![f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cdfrac%7Bf%28b%29%20-%20f%28a%29%7D%7Bb-a%7D%5C%5C%5C%5C%5C%5Cf%28x%29%20%3D%20%5Cdfrac%7Bf%28-1%29%20-%20f%28-3%29%7D%7B-1-%28-3%29%7D%5C%5C%5C%5C%5C%5Cf%28x%29%20%3D%20%5Cdfrac%7B0%20-%20%28-20%29%7D%7B2%7D%5C%5C%5C%5Cf%28x%29%20%3D%2010)
Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.
Learn more about average rate;
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