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ExtremeBDS [4]
3 years ago
12

What is the solution to the system of equations?

Mathematics
1 answer:
yarga [219]3 years ago
8 0

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

x + 2y = - 6 → (1)

3x + y = 2 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the term in y

- 6x - 2y = - 4 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 10 ( divide both sides by - 5 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

2 + 2y = - 6 ( subtract 2 from both sides )

2y = - 8 ( divide both sides by 2 )

y = - 4

Solution is (2, - 4 )

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What is the final answer?
MakcuM [25]
<h3>Answer:  42</h3>

Explanation:

We have y = -0.9x^2 + 76x - 250 which is in the form y = ax^2+bx+c

where,

  • a = -0.9
  • b = 76
  • c = -250

The vertex (h,k) is when the profit is maxed out.

h = -b/(2a)

h = -76/(2(-0.9))

h = 42.222 approximately

Let's plug in x values around x = 42

Try x = 41

y = -0.9x^2 + 76x - 250

y = -0.9(41)^2 + 76(41) - 250

y = 1353.10

Now try x = 42

y = -0.9x^2 + 76x - 250

y = -0.9(42)^2 + 76(42) - 250

y = 1354.4

Now try x = 43

y = -0.9x^2 + 76x - 250

y = -0.9(43)^2 + 76(43) - 250

y = 1353.9

We see that the largest profit happens when x = 42.

3 0
2 years ago
100 points t who answers first and if answered right u will get brainiest ok
Grace [21]

Answer:

side c = 150 feet of flowers

Area = 5400 feet squared

concert question:

The converse of the Pythagorean theorem can help you determine whether the roped off area is in the shape of a right triangle because you use the side lengths of each square and enter them into the equation, and if the equation is true, then it is a right triangle

Concession stand question:

The school banner can fit across the length of the concession stand

the following information is missing

The length if the sides: c is 50 feet long, b is 40 foot long, and a is 30-foot long.

The distance between the two red stars of the picture makes the hypotenuse of a right triangle, where two sides of length a (30 ft) are the legs. From Pythagorean theorem, diagonal of square A is:

diagonal² = 30² + 30²

diagonal = √1800  = 42.43 ft

which is longer than the banner.

Blueprint question:

No, diagonal of square C is 70.71ft

2nd blueprint question:

50 square root 2

Gardening group:

50.24 yards

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2 years ago
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Answer:the first one for miles is d and the second one for minutes is b

Step-by-step explanation:

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2 years ago
Cody and Jordan were selling Flamin' Hot Cheetos to raise money for the Tornados. Cody sold 5 bags of Cheetos for every 3 bags J
andrew11 [14]

They sold 160 and for each 5 bags sold by one 3 bags are sold by another 3+5=8.

160/8=20.

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