Answer:
m^4
Step-by-step explanation:
To solve you combine all the exponents
We can write the function in terms of y rather than h(x)
so that:
y = 3 (5)^x
A. The rate of change is simply calculated as:
r = (y2 – y1) / (x2 – x1) where r stands for rate
Section A:
rA = [3 (5)^1 – 3 (5)^0] / (1 – 0)
rA = 12
Section B:
rB = [3 (5)^3 – 3 (5)^2] / (3 – 2)
rB = 300
B. We take the ratio of rB / rA:
rB/rA = 300 / 12
rB/rA = 25
So we see that the rate of change of section B is 25
times greater than A
Answer:
72 I think
Step-by-step explanation:
I'm not 100% sure but I think its 72
Step-by-step explanation:
We have
First, 125 is a perfect cube because
and
x^3 is a perfect cube because
so we can use the difference of cubes identity
Let say we have two perfect cubes:
64 because 8×8×8=64
and 27 because 3×3×3=27 and let subtract
we know that
but using the difference of cubes identity we should get the same thing.
Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have
So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.
Back on to the topic,
we know that 5 is cube root of 125 and x is the cube root of x^3 so we have
Answer:
Step-by-step explanation:
d = number of dimes
2.80 = 0.1d + 0.25 (d + 8 )
2.80 = 0.1d + 0.25d + 2 Combine like terms
2.80 = 0.35d + 2 Subtract 2 from both sides
0.80 = 0.35d Divide both sides by 0.35
d ≈ 2.29
No, it's not possible to have more quarters than dimes when the total is $2.80 because it's not possible to have part of a dime.
