Let's solve your equation step-by-step.
−2(4k−7)=22−8k
Step 1: Simplify both sides of the equation.
−2(4k−7)=22−8k
(−2)(4k)+(−2)(−7)=22+−8k(Distribute)
−8k+14=22+−8k
−8k+14=−8k+22
Step 2: Add 8k to both sides.
−8k+14+8k=−8k+22+8k
14=22
Step 3: Subtract 14 from both sides.
14−14=22−14
0=8
So, the answer is 0=8.
The average rate of change obtained from the ratio of change in y to the change in x is 27
The average rate of change can be obtained using the relation :
Rate of change = (y2 - y1) ÷ (x2 - x1)
at; x1 = -3
y1 can be calculated from the function ;
y1= 3(-3³)-1
y1=-82
At ; x2 = 3
y2 can be calculated from the function ;
y2 = 3(3³)-1
y2=80
The rate of change can be calculated thus : (y2 - y1) ÷ (x2 - x1)
[80-(-82)]/[3-(-6])
162/6
27
Learn more about the average rate of change here:
brainly.com/question/18550782
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Chef Rita can feed 20 people.
Explanation:
If 22 pancakes can feed 8 people, then 11 pancakes can feed 4 people (divide both by 2). Since 55 is 11x5, you multiply 4 times 5 to get 20.
Hope this helps!
The empty jug weighs 0.75 lb
With the 3c, the total weighs 2.25 lb. That means:
3c + empty jug = 3c + 0.75 = 2.25
3c = 2.25 - 0.75
3c = 1.5
and 1c = 0.5 (so c is a constant -or the slope-)
Then the equation is:
y = 0.5x + 0.75
Yes they are equivalent because when you multiply by 10, you move the decimal place one spot to the right.