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2 years ago

Evaluate each expression. 3^-2

Mathematics

2 answers:

Rus_ich [418]2 years ago

7 0

9 is the answer negatives cancel out creating positve

Over [174]2 years ago

7 0

$3^2 = \dfrac{1}{3^2} = \dfrac{1}{9}$

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Solve the equation 3x-2 4 - 2x - 5- 1 + x 3 6

Nataly_w [17]

Answer:

$\boxed{\sf x=12}$

Step-by-step explanation:

$\sf \cfrac{3x-2}{4}-\cfrac{2x-5}{3}=\cfrac{1+x}{6}$

First, let's find the LCM of 4, 3, and 6.

How to find the LCM:

→ List multiples of each number.

→ Find the smallest number on each list.

4: 4, 8, 12, 16, 20, 24..

3: 3, 6, 9, 12, 15, 18, 21, 24, 27....

6: 6, 12, 18, 24, 30, 36, 42...

LCM: 12

_________

Now, we'll Multiply by LCM:

$\sf \cfrac{3x-2}{4}\times \:12-\cfrac{2x-5}{3}\times \:12=\cfrac{1+x}{6}\times \:12$

Simplify:

$\sf 3\left(3x-2\right)-4\left(2x-5\right)=2\left(x+1\right)$

Now, expand, Apply the Distributive property:

$\bold{ 3\left(3x-2\right)-4\left(2x-5\right)}$

$\sf 9x-6-8x+20$

Combine like terms:

$\sf x+14$

________

$\bold{ 2\left(x+1\right)}$

$\sf 2x+2$

$\sf x+14=2x+2$

Subtract 14 from both sides:

$\sf x+14-14=2x+2-14$

Simplify:

$\sf x=2x-12$

Subtract 2x from both sides:

$\sf x-2x=2x-12-2x$

Simplify:

$\sf -x=-12$

Divide both sides by -1:

$\sf \cfrac{-x}{-1}=\cfrac{-12}{-1}$

$\sf x=12$

7 0

1 year ago

How do you find the slope of (2, -6) & (-3, -4)

marta [7]

(-4)-(-6)/(-3)-2=

2/-5

4 0

2 years ago

Read 2 more answers

$7.80/hour = ____ cents/minute? a. 4.7 b. 13 c. 8.8 d. 780

g100num [7]

1$ = 100 cents, 1 hour = 60 minutes

$7.80/hour = (7.8*100) cents / (1*60)minutes

= 780 cents/60 minutes

= 13 cents/minute

Option b.

7 0

2 years ago

Read 2 more answers

For f(x) = 2x+31-5, name the type of function and describe each of the three transformations from

MAVERICK [17]

Answer:

x=-13 The solution is in the picture above. if you need more solutions let me know. :)

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2 years ago

A local radio station is having a contest every 12th caller receives a CD then the 20th caller receives 4 tickets to the concert

bonufazy [111]

Neither one of them will when both! Sorry

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2 years ago