Answer:
x² - 4x + 3
Step-by-step explanation:
When multiplying binomials (two terms in an expression), use FOIL. It stands for the first, outside, inside, and last terms in each bracket.
(x−3)(x−1) Expand with FOIL
= x² - x - 3x + 3 Collect like terms
= x² - 4x + 3
A. would be the correct answer
<h3>Answers:</h3>
- 7. D
- 8. C
- 9. D
- 10. D
- 11. C
- 12. B
=================================
Explanation:
The result of problem 7 is undefined because the matrices are not the same size. Both matrices must have the same number of rows, and they must have the same number of columns. This is so the terms match up when we add them. This applies to question 9 as well because subtraction is a form of addition.
For problem 8, we add the corresponding terms. So for instance, along the top we have -2+(-3) = -5 as the first entry in the top row. So that's why the answer is C for problem 8. Problem 10 and 11 are similar to this. Be careful to distribute the negative through to each term in the second matrix when subtracting matrices.
For problem 12, we multiply the outer 3 by each term inside the matrix. We end up with choice B.
Answer:
3 times.
Step-by-step explanation:
We are told that Gus has a fish tank that holds of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank.
To find the number of times Gus needs to fill the bucket we will divide volume of fish tank by volume of the bucket.
We will use the cylinder volume formula to find the volume of bucket.
, where,
V= Volume of cylinder.
r= Radius of cylinder.
h= Height of cylinder.
Upon substituting our given values in volume formula we will get,
Therefore, the volume of bucket is 1570 cubic inches.
Now let us divide 4710 by 1570.
Therefore, Gus will need to fill the bucket 3 times to completely fill the fish tank.