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2 years ago

Algebra 1 Word Problem

Mathematics

2 answers:

Ierofanga [76]2 years ago

8 0

Answer:

otterbox costs $95; beats costs $210

Step-by-step explanation:

x = otterbox y = beats

4x + 2y = 800 y = 2x + 20

4x + 2(2x + 20) = 800

4x + 4x +40 = 800

8x + 40 = 800

8x = 800 - 40

8x = 760

x = 760 / 8

x = 95 Otterbox costs $95 each

4x + 2y = 800

4(95) + 2y = 800

380 + 2y = 800

2y = 800 - 380

2y = 420

y = 420 / 2

y = 210 Beats costs $210

4(95) + 2(210) = 800

380 + 420 = 800

tatyana61 [14]2 years ago

6 0

Answer:

Otterbox = $95

Beats = $210

Step-by-step explanation:

Let's take o for Otterbox and b for Beats.

4 o + 2 b = $800

b = 2 o +$20

So, 4 o + 2 b = $800 => 8 o + $40 = $800

Therefore,

Otterbox = $95

Beats = $210

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Answer:

Proof below.

Step-by-step explanation:

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Given quadratic equation:

$5x^2-6x-2=0$

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Substitute the defined variables into the quadratic formula and solve for x:

$\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}$

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Learn more about the quadratic formula here:

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Read 2 more answers

Please help. Is algebra.

Dvinal [7]

Answers:

Blank 1: 4
Blank 2: -1

So the solution is (x,y) = (4, -1)

=============================================================

Work Shown:

6x + 7y = 17

6x + 7( y ) = 17

6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11

6x - 21x + 77 = 17

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-15x = -60

x = -60/(-15)

x = 4

We'll use this x value to find y

y = -3x+11

y = -3(4)+11 ... replace x with 4

y = -12+11

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We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)

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

To check the solution, we plug x = 4 and y = -1 into each equation

Plugging the values into the first equation leads to...

y = -3x+11

-1 = -3(4)+11

-1 = -1

This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.

We'll need to verify the second equation as well.

6x + 7y = 17

6(4) + 7(-1) = 17

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We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.

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Answer:

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