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abruzzese [7]
3 years ago
12

Evaluate. Write your answer as a fraction or whole number without exponents. 3^–2 =

Mathematics
1 answer:
Ad libitum [116K]3 years ago
4 0

Answer:

The answer is 1/9

Step-by-step explanation:

3^-2 can be written as 1/3²

And

1/3² = 1/9

Hope this helps you

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Kelli and Karl each have a job. Kelli earns $20 an hour. She also receives a $100 weekly bonus. 
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Equation for Kelli's earning = 20x + 100
Equation for Karl's earning = 25x + 50

Now, 20x +100 = 25x +50
25x-20x = 100-50
5x = 50
x = 10

So, your answer is 10 hours.

Hope this helps!
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The point (- 3, 2) is on the line given by which equation below?
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Answer:

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Step-by-step explanation:

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In triangle ABC, what is the measure of angle Cif A = 85°, a = 35, and c = 25?
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What two number multiply to 7 and adds to 8
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2x2 + 14x- 4 = - x2 + 3x
Firlakuza [10]

first, lets solve by factoring:

Let's solve your equation step-by-step.

2x2+14x−4=−x2+3x

Step 1: Subtract -x^2+3x from both sides.

2x2+14x−4−(−x2+3x)=−x2+3x−(−x2+3x)

3x2+11x−4=0

Step 2: Factor left side of equation.

(3x−1)(x+4)=0

Step 3: Set factors equal to 0.

3x−1=0 or x+4=0

x=

1

3

or x=−4

we can also solve using the quadratic formula:

2x2+14x−4=−x2+3x

Step 1: Subtract -x^2+3x from both sides.

2x2+14x−4−(−x2+3x)=−x2+3x−(−x2+3x)

3x2+11x−4=0

Step 2: Use quadratic formula with a=3, b=11, c=-4.

x=

−b±√b2−4ac

2a

x=

−(11)±√(11)2−4(3)(−4)

2(3)

x=

−11±√169

6

x=

1

3

or x=−4

lastly, we can complete the square.

2x2+14x−4=−x2+3x

Step 1: Add x^2 to both sides.

2x2+14x−4+x2=−x2+3x+x2

3x2+14x−4=3x

Step 2: Subtract 3x from both sides.

3x2+14x−4−3x=3x−3x

3x2+11x−4=0

Step 3: Add 4 to both sides.

3x2+11x−4+4=0+4

3x2+11x=4

Step 4: Since the coefficient of 3x^2 is 3, divide both sides by 3.

3x2+11x

3

=

4

3

x2+

11

3

x=

4

3

Step 5: The coefficient of 11/3x is 11/3. Let b=11/3.

Then we need to add (b/2)^2=121/36 to both sides to complete the square.

Add 121/36 to both sides.

x2+

11

3

x+

121

36

=

4

3

+

121

36

x2+

11

3

x+

121

36

=

169

36

Step 6: Factor left side.

(x+

11

6

)2=

169

36

Step 7: Take square root.

x+

11

6

=±√

169

36

Step 8: Add (-11)/6 to both sides.

x+

11

6

+

−11

6

=

−11

6

±√

169

36

x=

−11

6

±√

169

36

x=

1

3

or x=−4

Answer:

x=

1

3

or x=−4

5 0
3 years ago
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