Answer:
x =1 or -3
Step-by-step explanation:
10 = -x^2 - 2x + 13
when you solve that equation^ you get your answer to be either 1 or -3. Since -3 is a negative number, I would just type in x = 1
Answer:

Step-by-step explanation:
By logarithm rules

The volume of a cuboid is given by length × width × height
We have:
Volume = 7.6 ft³
Height = 3x - 1
Length = x + 5
Width = x
Substituting these into the formula, we have:
7.6 = (3x - 1) (x + 5) (x)
7.6 = [3x² + 15x - x - 5] (x)
7.6 = [3x² + 14x - 5](x)
7.6 = 3x³ + 14x² - 5x
0 = 3x³ + 14x² - 5x - 7.6
Drawing the graph is one way of finding the solution (refer to the graph below):
We have three solutions (where the curve crosses the x-axis):
x = -4.9
x = -0.6
x = 0.8
Putting these solutions back into the context, since we are looking for the value of x which is part of measurement of length, we cannot have negative value, so we will take the value of x = 0.8 ft
Converting 0.8 ft into inches = 0.8 × 12 inches = 9.6 inches
Answer: x = 9.6 inches
Answer:
The product of the original numbers: xy
The product of the altered numbers (.75x)(.5y), or 0.375xy
The product has decreased by 1 - 0.375, or 0.625, or 62.5%