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Roman55 [17]
3 years ago
11

Beyonce is solving a system of equations:

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Answer:

Beyonce will get the same result.

Step-by-step explanation:

The given system is

2x-3y=-2

and 4

x+y=24

This system contains two lines that are not parallel to each other therefore the solution x=5, y=4 is unique.

It doesn't matter which method he used or which variable he eliminated first.

The solution will still be the same.

If the system of two equations with has no solution, the Beyonce will not get a solution in the first place, but the fact that the system has no solution remains the same even if Beyonce uses a different method.

If there are infinite solutions, Beyonce might get different solutions using a different method, but the fact that the system has infinite solution remains the same.

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Write a quadratic equation given the roots -1/3 and 5, show your work
Travka [436]

\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

x =  -  \frac{1}{3}  \\ x = 5

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

Here we can convert the expression x+1/3 to this.

x +  \frac{1}{3}  = 0 \\  3x + 1 = 0

Rewrite the equation.

(3x + 1)(x - 5) = 0

Simplify by multiplying both expressions.

3 {x}^{2}  - 15x + x - 5 = 0 \\ 3 {x}^{2}  - 14x  - 5 = 0

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

8 0
2 years ago
Help please................
Alona [7]
Hey you're using Apex xD

Answer is D. 

Here's an example 

6= 3x2
Just divide. 6/2 = 3 <span />
8 0
3 years ago
Find the derivative of the function. y = √(11x + √(11x + (√11x)))
Degger [83]
Its long man, and complex haha... is this for a class?

4 0
3 years ago
An object is moved at a constant speed of 20m/s for 4s
konstantin123 [22]

Answer:

80 m is distance traveled

Step-by-step explanation:

if object moves at 20m/s, then in 4 seconds the expression 20 x 4 is used to get 80. 80 m traveled

3 0
2 years ago
What is 7(n+4)=21 ?
navik [9.2K]

Answer:

n=-1

Step-by-step explanation:

7n + 28 = 21

subtract 28 on both sides

7n= -7

divide by seven on both sides

n= -1

8 0
3 years ago
Read 2 more answers
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