Answer:
(A) (5/2)x^3 -(9/4)x^2 +(7/2)x -3/2
(B) No. The factor 1/4x -1/2 is not the same as 1/2x -1/4.
Step-by-step explanation:
(A) With a little practice, you can do these in your head, so there is no "work" to show.
The product of highest-degree terms is (1/2x)(5x^2) = (5/2)x^3.
The x^2 term in the product will be the sum of terms that are one of ...
- x-term × x-term
- constant × x^2
so the x^2 term is ...
(1/2x)(-2x) + (-1/4)(5x^2) = -x^2 -(5/4)x^2 = -(9/4)x^2
The x-term in the product will be the sum of terms of the form
so the x term is ...
(1/2x)(6) + (-1/4)(-2x) = 3x +(1/2)x = (7/2)x
Finally, the constant term in the product is the product of the constants:
(-1/4)(6) = -6/4 = -3/2
This makes the product of the two polynomials be ...
(5/2)x^3 -(9/4)x^2 +(7/2)x -3/2
___
(B) One of the factors is the same, but the other is different. The product will be different.
- 1/2x -1/4 = (2x-1)/4
- 1/4x -1/2 = (x -2)/4 . . . . not the same as above
Answers:
Figure a has been translated only (translated 9 units to the right)
Figure b has been reflected over the x axis
Figure c has been rotated and translated
=======================================
Explanation:
Pick on a point like (-7,4) and note how it moves 9 units to the right to get to (2,4). All points on the upper left figure follow this same translation rule. This rules in figure a.
Figure b is a result of reflecting over the x axis. The rule used is . The x coordinate stays the same while the y coordinate flips from positive to negative. So for example, (-7,4) flips to (-7,-4)
Figure c is a combination of rotating and translating the original figure. It looks like a 90 counterclockwise rotation has been applied followed by a translation. The actual translation and rotation rules used will depend on how you define the center of rotation.
Answer:
The correct option is B.
Step-by-step explanation:
The formula for amount after compound interest is
Where P is principal, r is rate of interest, n is number of times interest compounded in a period, t is number of years.
It is given that Felix took out an unsubsidized student loan of $40,000 at a 3.6% APR, compounded monthly. The amount after 33 month is
The amount after 33 month is $44156.1074. So, the new principle amount is $44156.1074.
The monthly payment of $44156.1074 for 20 years is
Where, P.V. is present value, r is rate of interest and n is number of times interest compounded.
Therefore the correct option is B.
Answer:
y = -2/3x - 1
Step-by-step explanation:
First, find the slope so you can see that when x goes up by 3, y goes down by 2. This means that the slope is -2 divided by 3, or -2/3.
You can see in the picture that the y-intercept is at the point (0, -1).
That means the equation would be y = -2/3x - 1
Answer:
0.625
Step-by-step explanation:
0.625 * 8 = 5