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Answer:
– 21x^3 y – 9x^2 y^2 e) is your answer
Step-by-step explanation:
Solve the following system for A and B:
{A = 7 x^2 + 3 x y
B = -3 x y
Express the system in matrix form:
(1 | 0
0 | 1)(A
B) = (7 x^2 + 3 x y
-3 x y)
Write the system in augmented matrix form and use Gaussian elimination:
(1 | 0 | 7 x^2 + 3 x y
0 | 1 | -3 x y)
Collect results:
Answer: {A = 7 x^2 + 3 x y , B = -3 x y
then we multiply the results (7 x^2 + 3 x y) ( -3 x y) = – 21x^3 y – 9x^2 y^2
1km = 1000m
1hr = 3600sec
Do proportions:
1km / 1000m = 15km / x
15000m = x
1hr = 3600sec
15000/3600 = 4.2m per second
Choice 4
Answer:
c) -x^3 + x^2 - 1
Step-by-step explanation:
Given: u (x) = x^5 - x^4 +x^2 and v(x) = -x^2
(u/v)(x) = u(x)/v(x)
Now plug in the given functions in the above formula, we get
= (x^5 - x^4 + x^2) / -x^2
We can factorize the numerator.
In x^5 - x^4 + x^2. the common factor is x^2, so we can take it out and write the remaining terms in the parenthesis.
= x^2 (x^3 - x^2 + 1) / - x^2
Now we gave x^2 both in the numerator and in the denominator, we can cancel it out.
(u/v)(x) = (x^3 - x^2 + 1) / -1
When we dividing the numerator by -1, we get
(u/v)(x) = -x^3 + x^2 - 1
Answer: c) -x^3 + x^2 - 1
Hope you will understand the concept.
Thank you.