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3 years ago

State the degree and leading coefficient of each polynomial in one variable -12-8x^2+5x-21x^7

Mathematics

1 answer:

leonid [27]3 years ago

4 0

Answer:

The degree is 7 and the leading coefficient is -21.

Step-by-step explanation:

The degree of an equation is found using the highest exponent on the variable in the equation.

-12-8x^2+5x-21x^7 has the term x^7 so its degree is 7

The leading coefficient is the coefficient of the term with the highest degree. The coefficient of x^7 is -21.

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Sholpan [36]

Answer:

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Step-by-step explanation:

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3 years ago

Please Need Help. Thank You :) Please find the Volume of these cylinders:

vladimir2022 [97]

Answer:

the one for the finding the height is 3.3, the one with 7 as the height is 351.86, and the one with 3 as the height is 150.8

Step-by-step explanation:

h=V

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3 years ago

8/x-5 - 9/x-4 = 5/x^2-9x+20

adelina 88 [10]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2752942

_______________

Solve the equation:

$\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}$

Reduce the fractions at the left side so that they have the same denominator:

$\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}$

Numerators must be equal:

$\mathsf{8x-32-(9x-45)=5}\\\\
\mathsf{8x-32-9x+45=5}\\\\
\mathsf{8x-9x=5+32-45}\\\\
\mathsf{-x=-8}\\\\
\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}$

I hope this helps. =)

Tags: rational equation fraction solution algebra

7 0

3 years ago

victor bought a sports car for $30,000, if the state sales tax rate is 8%, how much will victor have to pay after the sales tax?

saul85 [17]

32,400 is your answer, hope this helps

6 0

3 years ago

Read 2 more answers

If 5(x-6y) = 50y,what is the value of x in terms of y? PLS EXPLAIn

inysia [295]

Answer:

E. 16y

Step-by-step explanation:

Given equation:

5(x - 6y) = 50y

Expand the brackets using
Distributive Property for subtraction: a(b - c) = ab - ac

⇒ 5 · x - 5 · 6y = 50y

⇒ 5x - 30y = 50y

Add 30y to both sides:

⇒ 5x - 30y + 30y = 50y + 30y

⇒ 5x = 80y

Divide both sides by 5:

⇒ 5x ÷ 5 = 80y ÷ 5

⇒ x = 16y

5 0

2 years ago