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marissa [1.9K]
3 years ago
6

Solve for x.6x^2=4x+10

Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0

Answer:

x=-1,\displaystyle \frac{5}{3}

Step-by-step explanation:

Hi there!

6x^2=4x+10

Move 6x^2 to the other side of the equation:

0=-6x^2+4x+10

Divide both sides by -2:

0=3x^2-2x-5

Factor by grouping:

0=3x^2+3x-5x-5\\0=3x(x+1)-5(x+1)\\0=(3x-5)(x+1)

Apply the zero product property:

3x-5 = 0\\3x=5\\\\x=\displaystyle \frac{5}{3}

x+1=0\\x=-1

Therefore, x = -1, 5/3.

I hope this helps!

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The painting shown at the right has an area of 220. What is the value of x?
tangare [24]

Answer:

9.76

Step-by-step explanation:

area of a rectangle = length * breadth

length = (2x + 3)

breadth = x

given area is 220 sq. inches.

thus,

220 = x * (2x+3)

220 = 2x² +3x

2x² + 3x -220 = 0

x = (-b + √ ( b²-4ac) ) ÷ 2a

x = ( -3 + √ ( 3² - 4*2*220) ) ÷ 2*2

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5 0
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What does 7526.442 round to the nerest hundredth
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Horizontal pieces can be produced at a rate of 200 per labor hour. a carpenter uses 500 horizontal pieces and 22 vertical pieces
ira [324]
  1. The number of vertical pieces will be 28. Then the correct option is A.
  2. The number of horizontal pieces will be 600. Then the correct option is B.
<h3>What is decision-making?</h3>

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

Horizontal pieces can be produced at a rate of 200 per labor hour.

A carpenter uses 500 horizontal pieces and 22 vertical pieces while making racks for an hour.

You have 900 horizontal pieces and 50 vertical pieces in stock right now.

For the next hour, you assign Juan to rack making, Debbie to trim making, and both mike and stan to horizontal piece production.

1.  Then at the end of the next hour, the number of vertical pieces available in stock will be

→ 50 - 22

→ 28

Thus, the number of verticle pieces will be 28.

2.  Then at the end of the next hour, then the number of horizontal pieces available in stock will be

→ 900 + 200 - 500

→ 600

More about the decision-making link is given below.

brainly.com/question/3369578

#SPJ1

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2 years ago
How many time can 9 go into 11
Murljashka [212]

Answer:

1.2

11 \div 9 = 1  remainder 2\\2 \div 9 = .2

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3 years ago
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Delvig [45]
A,C,E and F are poylgons
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