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Fed [463]
3 years ago
15

What are the solutions of x ^ 2 + 6x - 6 = 10 ? x = - 11 x = 1 x = - 11 x = - 1 x = - 8x = - 2 x = - 8x = 2

Mathematics
1 answer:
zmey [24]3 years ago
8 0

Answer:

x=-8 ,2

Step-by-step explanation:

x ^ 2 + 6x - 6 = 10

Add 6 to each side

x ^ 2 + 6x - 6+6 = 10+6

x ^ 2 + 6x  = 16

Complete the square  take the coefficient of the x terms, divide by 2 and square it.  Then add it to each side

6/2 =3  , 3^2 =9  

x ^ 2 + 6x +9 = 16+9

(x+3)^2 = 25

Take the square root of each side

sqrt((x+3)^2) = ±sqrt(25)

x+3= ±5

Make 2 equations

x+3 = 5    x+3 = -5

Subtract 3 from each side

x+3-3 =5-3             x+3-3 = -5-3

x =2                           x=-8

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What is the length of each side of a square room if the area is 400 ft²?
kifflom [539]
The area of a square is 

A = s²

s² = 400

s = √400

s = 20

each side of a square room is 20. 

hope this helped, God bless!
5 0
3 years ago
Seventy weather balloons were sent up. Twenty-eight were found. What percent wer ound? 17​
In-s [12.5K]

Step-by-step explanation:

let the percent of found balloons be x

given,

total number of balloons= 70

number of found balloons= 28

according to the question,

x% of 70= 28

x/100 × 70 = 28

x=40

hence 40% of the balloons were found

5 0
3 years ago
The produce market is having a sale on grapes and oranges. A customer found the following two receipts in her cart as she was wa
AleksandrR [38]

Answer:

Step-by-step explanation:

From the first receipt:

2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:

2g + 4o = 10.70

From the second receipt:

3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:

3g + 2o = 9.65

Putting those together into a system and solving using the elimination method:

2g + 4o = 10.7

3g + 2o = 9.65

I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:

2g + 4o = 10.7

-6g - 4o = -19.3

As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:

-4g = -8.6 so

g = 2.15

Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:

2(2.15) + 4o = 10.7 and

4.3 + 4o = 10.7 and

4o = 6.4 so

o = 1.60

Oranges cost $1.60 per pound. That is choice D from your list.

5 0
3 years ago
a milk tank at a a dairy farm has the form of a rectangular prism. The tank is 3.5 feet wide. The width of the tank is 5/7 of it
AURORKA [14]

Answer:

17.5 cubic feet

1163.75 pounds

Step-by-step explanation:

Givens

L = 3.5                                    Given

W = 5/7  *  3.5                        Divide by 7

W = 5 * 0.5                             Combine

W = 2.5

H = 4/5 * w

H = 4/5 * 2.5

H = 4 * 0.5

H = 2

Volume

V = L * w * h

V = 3.5 * 2.5 * 2

V = 17.5

Weight

1  Cubic foot Milk = 66.5 pounds

17.5 cubic feet milk = x

1 / 17.5 = 66.5/ x

x = 17.5 * 66.5

x = 1164.75

7 0
2 years ago
Use the graph to answer F(-3)=
Virty [35]

Answer:

  f(-3) = 1

Step-by-step explanation:

The only point with an x-coordinate of -3 has a y-coordinate of 1. That is the value of the function f(x) for x=-3.

  f(-3) = 1

7 0
3 years ago
Read 2 more answers
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