A. Average rate of change for x=1 to 2: 4(2²)-4(2)=16-8=8; from x=3 to 4: 4(2⁴)-4(2³)=64-32=32.
b. Section b is 32/8=4 times greater. As the exponent of 2 increases, the gaps between consecutive powers of 2 gets wider and therefore the rate of change is greater.
Answer:
x =68
Step-by-step explanation:
We know that x+22 = 90 because the sum of the two angles is a vertical angle to the right angle and vertical angles are equal.
x+22 =90
Subtract 22 from each side
x+22-22 = 90-22
x =68
15x - 10 where x is equal to the number of weeks would respresent the situation above. This is because he gains 15 cards every week and gave ten cards to James once.
If it has only been one week, the expression will be 15 - 10 because 15 × 1 = 15.
I hope this helps!
Answer:
a^2 + b^2 = c^2
3^2 + b^2 = 5^2
9 + b^2 = 25
b = _/16
b = 4
Explanation:
Pythagorean Theorem
Answer:
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Step-by-step explanation: