<span>This question obviously requires fewer than forty words to answer fully, but to fulfil the criteria above I will explain it a bit further. The total volume is the side length to the third power of the first cube, plus the side length to the third power of the second cube: 4p^3+(2q^2)^3</span>
Answer:
q=157 and r=3
Step-by-step explanation:
If your asking for the answer it’d be
x= -1
Answer: 40.13% of the soda bottles will have a volume less than 32 oz.
First, we need to find the z-score. That is the number of standard deviations below the mean.
(32 - 32.3) / 1.2 = -0.25
A bottle of 32 oz is -0.25 standard deviations below the mean. Use a standard normal distribution probability table and you will find the 40.13% of the scores are below a z-score of -0.25.
For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)