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svet-max [94.6K]
3 years ago
13

A system of two equations contains one quadratic equation and one linear equation. the quadratic system of the equation is y=x^2

+5x-9. the solutions of the system are (3,15) and (-1,-13). what is the linear equation in the system?
Help if you don't mind!
Mathematics
1 answer:
ruslelena [56]3 years ago
7 0
Suppose the line is y=mx+b
when x=3, y=15, so 15=3m+b
when x=-1, y=-13, so -13=-m+b
solve the system of these two equation, you get m=7, b=-6
so the linear equation is y=7x-6
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n200080 [17]

Answer:

Midpoint of (-1,-5) and (-5,7) is (-3,1)

Midpoint of (5,-2) and (-4,2) is (0.5,0)

Step-by-step explanation:

Use the midpoint formula

4 0
3 years ago
Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that
Thepotemich [5.8K]

Answer:

$6750 in the bank account and $20,250 in the stock fund

Step-by-step explanation:

If B is the money they put in the bank and S is the amount they put in the stock fund, then:

B + S = 27000

1.024 B + 1.072 S = 1.06 × 27000

Solving the system of equations:

1.024 (27000 − S) + 1.072 S = 28620

27648 − 1.024 S + 1.072 S = 28620

0.048 S = 972

S = 20250

B = 27000 − S

B = 6750

They should put $6750 in the bank account and $20,250 in the stock fund.

6 0
3 years ago
Would anyone know how to do this
butalik [34]
Your answer will be 5xplus10
8 0
3 years ago
Solve the following system of equations using substitution.
ollegr [7]

To solve system of equations by substitution, we are going to use the first equation to substitute into the second equation wherever you see y.

5x - 4y = -3

5x - 4(3x-5) = -3

5x -12x+20=-3

               -20     -20  

_______________

5x-12x=-23

-7x=-23

___    ____

 -7       -7

x=3.29 (rounded)

Next, substitute x = 3.29 into the first equation, or to any equation you'd like, to find y.

y = 3x-5

y = 3(3.29)-5

y = 9.87-5

y = 4.87

So, your final answer would be (3.29, 4.87).

7 0
3 years ago
Brian and Bob visit a ski resort. Bob buys 2 full passes and 3 restricted passes. The total cost of his passes is £130.
Jobisdone [24]

Answer:

2x+3y=130

Step-by-step explanation:

Let x=cost of full pass

Let y=cost of restricted pass

Brian and Bob bought 2 full and 3 restricted passes.

Have a good day!

6 0
2 years ago
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