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
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(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
Answer:
B. 4
Step-by-step explanation:
cos(45°) = x/4√2
√2/2 = x/4√2
x = 4√2•√2/2
x = 4
Hello!
You can only add variables with the same base and exponent
8u^3 + 4u^3 = 12u^3
8u^2 + 0 = 8u^2
0 + -6u = -6u
6 + 3 = 9
Put the sums together
12u^3 + 8u^2 - 6u + 9
The answer is

Hope this helps!
Answer:
5.5193237 times 10 to the power of -10
Step-by-step explanation:
To solve you just need to divided the area by the length or width the question has provided. Please note I am in 7th grade.
The time take for the cyclist to travel from Fort Worth to Fresno is 
Explanation:
It is given that the distance from Fort Worth to Fresno is 1,530 miles.
The average speed of the cyclist is 17 miles per hour.
The time travelled by the cyclist can be determined using the formula,

Substituting the value of distance and speed, we get,

Dividing both sides by 17, we get,

Thus, the time take for the cyclist to travel from Fort Worth to Fresno is 