(4^p*4^1)^3 = 4^15
add the exponents
(4^(p+1))^3 = 4^15
power to the power means multiply
(4^3(p+1)) = 4^15
the bases are the same so the powers have to be the same
3(p+1)) = 15
divide by 3
p+1 =5
subtract 1
p=4
Eric is incorrect. p=4
Answer:
No, the inverse function does not pass the vertical line test.
Step-by-step explanation:
Remember that 
. To find the inverse of our function we are going to invert x and y and solve for y:
Now we can graph our function an perform the vertical line test (check the attached picture).
Remember that the vertical line test is a visual way of determine if a relation is a function. A relation is a function if and only if it only has one value of y for each value of x. In other words, a relation is a function if a vertical line only intercepts the graph of the function once.
As you can see in the picture, the vertical line x = 15 intercepts the function twice, so the inverse function h(x) is not a function.
We can conclude that the correct answer is: No, the inverse function does not pass the vertical line test.
Answer:
1 cup of blue paint required 5 cups of yellow paints
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Step-by-step explanation:
Given
2 cups of blue = 10 cups of yellow
Required
Determine the number of cups of yellow for 1 cup of blue paint
The given parameter shows a linear relationship between paints of blue and paints of yellow
We have:
2 cups of blue = 10 cups of yellow
Multiply both sides by 0.5
0.5* 2 cups of blue = 0.5* 10 cups of yellow
1 cup of blue = 5 cups of yellow
Hence;
<em>1 cup of blue paint required 5 cups of yellow paints</em>
The time for this z-score is 3.28.
The formula for z-scores is
z = (X-μ)/σ
Using our information, we have
-1.2 = (X-4.6)/1.1
Multiply both sides by 1.1:
-1.2(1.1) = X - 4.6
-1.32 = X - 4.6
Add 4.6 to both sides:
-1.32 + 4.6 = X - 4.6 + 4.6
3.28 = X
Answer:
0 because they cancel out :D
