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Vilka [71]
2 years ago
8

Need help with solving quadratics using the quadratic equation!

Mathematics
1 answer:
Charra [1.4K]2 years ago
3 0
You need to solve the following equation:
-0.5x^2 +36x -161 = 451

Set right side to 0
-0.5x^2 +36x -612 = 0

Multiply by -2 to get rid of decimal and leading neg coefficient.
x^2 -72x + 1224 = 0

Use quadratic formula:
a = 1, b = -72, c = 1224

x = \frac{-(-72) \pm \sqrt{(-72)^2 -4(1)(1224)}}{2(1)} \\  \\ x = \frac{72 \pm \sqrt{288}}{2} \\  \\ x = 27.51, 44.49

Therefore the min price to have 451 profit is $27.51
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Show how to use substitution or elimination to solve the following system of equations. Write the solution as an ordered pair.
max2010maxim [7]

Answer:

  (4, 6)

Step-by-step explanation:

<u>Substitution</u>

Using the second equation, we can substitute for y in the first equation.

  4x -(2x-2) = 10

  2x +2 = 10 . . . . simplify

  x +1 = 5 . . . . . . .divide by 2

  x = 4 . . . . . . . . . subtract 1

  y = 2(4) -2) = 6 . . . . substitute for x in the equation for y

The solution is (x, y) = (4, 6).

__

<u>Elimination</u>

Often, we like to start with both equations in standard form when we solve by elimination. That is nice, but not completely necessary.

We can eliminate the y-variable by simply adding the two given equations.

  (4x -y) +(y) = (10) +(2x -2)

  4x = 8 + 2x . . . . . collect terms. The y-variable has been eliminated.

  2x = 8 . . . . . . . . . subtract 2x

  x = 4 . . . . . . . . . . divide by 2

Y can be found using the second equation.

  (x, y) = (4, 6)

__

We could have eliminated the x-variable by multiplying the second equation by 2, then adding the two equations.

  (4x -y) +2(y) = (10) +2(2x -2)

  y = 6 . . . . . . . . . subtract 4x from both sides. The x-variable has been eliminated.

Now, x can be found using either equation.

  6 = 2x -2 . . . substitute for y in the second equation

  3 = x - 1 . . . divide by 2

  x = 4 . . . . . add 1

  (x, y) = (4, 6)

3 0
3 years ago
PROBABILITY. Areas of regions: Entire Target=84in^2, Red area=28in^2, Green area=7in^2, Yellow area=9.42in^2, Blue area=39.58in^
abruzzese [7]

Answer:

HIIIIIIIIIIIIIIIIIIIIIIIIII

Step-by-step explanation:

8 0
3 years ago
Which expression do you solve first
hammer [34]

Answer:

The first thing you would solve is 10^2.

Step-by-step explanation:

This is because in the order of operations, parenthesis comes first - which you don't have any of - and then exponents come second.

8 0
3 years ago
Read 2 more answers
las edades de maría y susana suman 56 años si la edad de maría es los 3/5 de la edad de susana ¿ que edad tiene maría?
Murljashka [212]
Susana=s
maria=m

m= 3s/5 

s+m=56
s+(3s/5)=56
(5s+3s)/5=56
8s=56*5
8s=280
s=280/8
s=35

35 --->5/5
x  ---> 3/5

x= (3/5)*35 / (5/5)
x=21 
edad de maria= 21 años
4 0
3 years ago
How do you so this?​
marissa [1.9K]

(1÷2)×(1÷2)×(1÷2)×(1÷2)×(1÷2)

6 0
3 years ago
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