First, take a look at 3 less than twice x. Twice x would be 2x and 3 less than it would become 2x-3.
Next, 2 more than the quantity 3 times x. The quantity of 3 times x is 3x and 2 more than that would be 3x+2.
Now that we have our two equations, we need to multiply them together, which can be shown as (2x-3)(3x+2).
Then, multiply the two equations together using FOIL (multiply the first two terms, then the outside terms, then inside, and lastly, the last two terms): 2x times 3x, 2x times 2, -3x times 3x, and 2 times -3, which equates to 6x^2+4x-9x-6.
Your final answer is 6x^2-5x-6.
Answer: option A
Step-by-step explanation:
The volume of a cylinder can be calculated with the formula:
Where r is the radius and h is the height of the cylinder.
The radius is diameter divided by 2, then:
Substitute the radius into the formula. Then you get the following equation that can be used to find V, the volume of the cylinder:
Answer:
subtract 2 and add 3
Step-by-step explanation:
8-2=6
6+3=9
9-2=7
7+3=10
If Mike is willing to pay no more than an effective rate of 8.000% annually, the loans that meet his criteria are loan X and loan Z. Of those two, the lowest would be loan X. I hope the answer will help you :)
Answer:
Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12. A positive integer greater than 1, or an algebraic expression, that has only two factors (i.e., itself and 1) is termed prime; a positive integer or an algebraic expression that has more than two factors is termed composite. The prime factors of a number or an algebraic expression are those factors which are prime. By the fundamental theorem of arithmetic, except for the order in which the prime factors are written, every whole number larger than 1 can be uniquely expressed as the product of its prime factors; for example, 60 can be written as the product 2·2·3·5.
