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Oksi-84 [34.3K]
2 years ago
12

What is the solution of the linear-quadratic system of equations? y=x^2+5x−3 y−x=2

Mathematics
2 answers:
vovangra [49]2 years ago
5 0

y = x²+5x−3

y−x = 2     =    y = x+2

----------------------------------

x+2 = x²+5x-3

x² + 4x -5 =0

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

x ₁= -5

x₂ = 1

-----------------------------------

y₁ = -5+2

y₁ = -3

y₂ = 1+2

y₂ = 3

Vsevolod [243]2 years ago
4 0

Answer:

x =  1, y = 3

x = -5, y = -3

Step-by-step explanation:

Point Form:

(1,3) , (-5, -3)

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The roosevelt middle school band is having a fundraiser. They sold a total of 300 hotdogs and hamburgers. Hot dogs were sold for
STALIN [3.7K]

Answer:

180 hamburgers

120 hotdogs

Step-by-step explanation:

In this question, we are asked to calculate the number of hamburgers and hotdogs sold by a company given the amount made by them and the total number of these snacks sold

We proceed as follows;

Let the amount of hotdogs sold be x and the amount of hamburgers sold be y.

We have a total of 300 snacks sold, mathematically;

x + y = 300 ..........(I)

Now let’s look at the prices.

x number of hotdogs sold at $2, this give a total of $2x hotdogs

y number of hamburgers sold at $3, this give a total of $3y.

Adding both to give total, we have ;

2x + 3y = 780.......(ii)

This means we have two equations to solve simultaneously. From equation 1, we can say x = 300 -y

Now let’s insert this in the second equation;

2(300-y) + 3y = 780

600-2y + 3y = 780

y = 780-600 = 180

Recall; x + y = 300

x = 300 -y

x = 300-180 = 120

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2 years ago
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Can you guys help me with this?? 11 points and brainly. pleaseee and thank uuu!!
Slav-nsk [51]

Answer:

Graph A fails the vertical line test

Step-by-step explanation:

The vertical line test will fail when a vertical line touches two or more points on the graph

Graph A will fail the vertical line test.  The y axis touches two points on the graph.

6 0
3 years ago
Please help, photo attached.
steposvetlana [31]

The zeroes of the polynomial functions are as follows:

  • For the polynomial, f(x) = 2x(x - 3)(2 - x), the zeroes are 3, 2
  • For the polynomial, f(x) = 2(x - 3)²(x + 3)(x + 1), the zeroes are 3, - 3, and -1
  • For the polynomial, f(x) = x³(x + 2)(x - 1), the zeroes are -2, and 1

<h3>What are the zeroes of a polynomial?</h3>

The zeroes of a polynomial are the vales of the variable which makes the value of the polynomial to be zero.

The polynomials are given as follows:

f(x) = 2x(x - 3)(2 - x)

f(x) = 2(x - 3)²(x + 3)(x + 1)

f(x) = x³(x + 2)(x - 1)

For the polynomial, f(x) = 2x(x - 3)(2 - x), the zeroes are 3, 2

For the polynomial, f(x) = 2(x - 3)²(x + 3)(x + 1), the zeroes are 3, - 3, and -1

For the polynomial, f(x) = x³(x + 2)(x - 1), the zeroes are -2, and 1

In conclusion, the zeroes of a polynomial will make the value of the polynomial function to be zero.

Learn more about polynomials at: brainly.com/question/2833285

#SPJ1

5 0
1 year ago
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