Answer:
B
Step-by-step explanation:
Whenever you are asked to find the number of square feet covered by something, you are finding an area. To find the area of Jason’s circle, you first need to figure out if you have been given the radius or the diameter. By definition, the diameter of a circle is the longest distance across the circle, so we know here that the diameter is 8 feet. This means that the radius is 4 feet. So...
A = π(4)2
= 16π
≈ 50.2 square feet
So, Jason’s circle will cover about 50.2 square feet of his wall (and B is the closest one to that)
Answer:
x ≥ 9 and x < 5
Step-by-step explanation:
See the line graph of a compound inequality shown in the attached photo.
Inequality has two parts. The right-hand part is shown by an arrow that is more than 9 and including 9.
So, the equation of inequality for this part is x ≥ 9.
Again, the left-hand part of the inequality graph shows another arrow which is less than 5 but not including 5.
So, the equation of inequality for this part is x < 5
Therefore, compound inequality is x ≥ 9 and x < 5 (Answer)
Answer:
x = 25
Step-by-step explanation:
Given
4x + 50 = 150 ( subtract 50 from both sides )
4x = 100 ( divide both sides by 4 )
x = 25
Hello!
To find the vertex of f(x), we can simplify this function into standard form.
f(x) = (x - 8)(x - 2)
f(x) = x² + -10x + 16
With the equation in standard form, we use the formula: x = -b/2a. Then, we substitute the value of x into the equation to solve for the y-value.
x = -(-10) / 2(1)
x = 10 / 2
x = 5
Then, we substitute x = 5 into the original equation.
f(x) = (5 - 8)(5 - 2)
f(x) = -3(3)
f(x) = -9
Therefore, the vertex of f(x) is (5, -9).
