Let W = number of wristbands.
Let B = number of belts.
Number equation: W + B = 30
Value equation: 5.50W + 8.75B = 204.00
Multiply the top equation by 5.50 and subtract it from the bottom equation:
5.50W + 8.75B = 204.00 <--- 5.50(W + B = 30)
5.50W + 5.50B = 165.00
---------------------------------
---> 3.25B = 39.00 <--- subtract down the columns
---> B = 12 <--- divide by 3.25
Since W + B = 30 ---> W + 12 = 30 ---? W = 18
There were 12 belts and 18 wristbands.
The answer is 1.
<span>1 is the number raised to both the first power and the second power equal 1.
</span>Any number raised to the second power means it is multiplied by itself 2 times and also any nonzero number that is raised to the power of zero is also equal to 1, x⁰=1 for example 2⁰ = 1, 4⁰ =1
By looking at the graphs we can infer the equation that represents both functions. If we plot the equations in a graphing tool, we can easily find your points.
Please, see the attached image
Linear
f(x) = (-3/2)*x + 3
x = -3 ---------> y = 15/2 = 7.5
x = -2 ---------> y = 6
x = -1 ---------> y = 4.5
x = 0 ---------> y = 3
x = 1 ---------> y = 1.5
x = 2 ---------> y = 0
x = 3 ---------> y = -1.5
Exponential
g(x) = (1/2)^x
x = -3 ---------> y = 8
x = -2 ---------> y = 4
x = -1 ---------> y = 2
x = 0 ---------> y = 1
x = 1 ---------> y = 0.5
x = 2 ---------> y = 0.25
x = 3 ---------> y = 0.125
(1/2)^x = (-3/2)*x + 3
If we solve this equation, we get two values
x = -2.868 and
x = 1.81
(X,Y-4) this is the answer to the question since the y value of the translated image is moved down from the preimage