Use synthetic division to solve the following: 2x^4 + 11x^3 + 13x^2 + 2x

Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

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<em>Jaces songs were played on 6 more commercials than movies.</em>

$\boxed{C = 6 + M}$ → <em>Equation 1</em>

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<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

$\boxed{50C + 140M = 680}$ → <em>Equation 2</em>

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<em>Equation 1 ↔ Equation 2 :</em>

$50C + 140M = 680$

$50 ( 6 + M ) + 140M = 680$

$300 + 50M + 140M = 680$

$190M = 680 - 300$

$190M = 380$

$M = 380 \div 190$

$M = 2$

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$C = 6 + M$

$C = 6 + 2$

$C = 8$

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<h2>Conclusion:</h2>

The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2

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<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

5 0

3 years ago

If a and B are the zeros of the quadratic polynomial f(x) = x2- 5x + 4 find the value of 1/a+1/b-2ab

bearhunter [10]

Answer:

Step-by-step explanation:

Given the quadratic polynomial given as g(x) = x²- 5x + 4, the zeros of the quadratic polynomial occurs at g(x) = 0 such that x²- 5x + 4 = 0.

Factorizing the resulting equation to get the roots

x²- 5x + 4 = 0

(x²- x)-(4 x + 4) = 0

x(x-1)-4(x-1) = 0

(x-1)(x-4) = 0

x-1 = 0 and x-4 = 0

x = 1 and x = 4

Since a and b are known to be the root then we can say a = 1 and b =4

Substituting the given values into the equation 1/a+1/b-2 ab , we will have;

= 1/1 + 1/4 - 2*1*4

= 1 + 1/4 - 8

= 5/4 - 8

Find the Lowest common multiple

= (5-32)/4

= -27/4

<em>Hence the required value is -27/4</em>

5 0

4 years ago

If would be great if someone answered this I'm sorry if its blurry the set of numbers are (4,4) (5'5)

Morgarella [4.7K]

Answer:

I think its 3752 but i might be wrong not sure

Step-by-step explanation:

or its 15008

5 0

3 years ago

Why is it I paid for this app but i am not beneiting from it? will have to get rid! useless

Leona [35]

You paid ..I’m broke so I can’t lol ..in my opinion it can be helpful sometimes because some of the questions don’t get answered or it’s someone just saying “I don’t know

7 0

3 years ago

Solve system by elimination <br> 8x-8y=-16<br> -8x-7y=-29

Gnesinka [82]

Add these together.
You get -15y=-45
So y=3

Now plug in to first equation.
8x-8(3)=-16
8x-24=-16
8x=8 so x=1

Check both values in second equation.
-8(1)-7(3)=
-8-21=-29

It works...so x=1, y=3

6 0

3 years ago

Use synthetic division to solve the following: 2x^4 + 11x^3 + 13x^2 + 2x – 8 ÷ x +4​

Use synthetic division to solve the following: 2x^4 + 11x^3 + 13x^2 + 2x – 8 ÷ x +4