Answer:
Step-by-step explanation:
The volume of a cylinder is found using this formula:
Th height is 6 inches, the radius is 2 inches, and we are using 3.14 for pi. Substitute the values into the formula.
Solve the exponent.
- (2 in)²= 2 in * 2 in = 4 in²
Multiply the first two number.
This is already to the hundredth place, so we do not need to round.
The volume of the cylinder is <u>75.36 cubic inches.</u>
Answer:
3(x + 2)(2x - 5)
Step-by-step explanation:
Given
6x² - 3x - 30 ← factor out 3 from each term
= 3(2x² - x - 10) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 10 = - 20 and sum = - 1
The factors are + 4 and - 5
Use these factors to split the x- term
2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )
= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term
= (x + 2)(2x - 5), thus
2x² - x - 10 = (x + 2)(2x - 5) and
6x² - 3x - 30
= 3(x + 2)(2x - 5) ← in factored form
Answer:
The solution set is {-2, 3}.
Step-by-step explanation:
We can do this by elimination after manipulating the 2 equations so that the coefficients of y will disappear after addition:
5x - 2y = -16 Multiply this by -5:
-25x + 10y = 80 ...........(A)
4x - 5y = -23 Multiply this by 2:
8x - 10y = -46..............(B)
Now add A and B:
-17x = 34
x = 34/-17
<u>x = -2</u>.
Now substitute x = -2 into the first original equation:
5(-2) - 2y = -16
-2y = -16 +10 = -6
y = -6/-2
<u>y = 3</u>.
Confirm these results by substitution in the second original equation:
4(-2) - 5(3)
= - 8 - 15 = -23.
Checks OK.
Answer:
f(-2) =8
Step-by-step explanation:
f(x) = 3x^2+x-2
Let x = -2
f(-2) = 3 * (-2)^2 + (-2) -2
= 3(4) -2 -2
=12 -2-2
=10 -2
=8
