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Scilla [17]
3 years ago
5

Simplify (3n – 2m)2 = ?

Mathematics
2 answers:
VikaD [51]3 years ago
4 0
If there are two values places next to each other (E.g. xy), then the values are multiplied together. In this example, "3n - 2m" is one value as it is in the brackets. The second value is "2".
To simplify, you must open up the brackets. So multiply what is inside the brackets by what is outside. (2 x 3n) - (2 x 2m) = 6n - 4m
lana66690 [7]3 years ago
3 0
(3n - 2m)² = (3n - 2m)<span>(3n - 2m) 
</span>
= 3n(3n - 2m) - 2m(3n - 2m)

= 9n² - 6mn - 6mn + 4m² 

= 9n² - 12mn + 4m²<span> </span>
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James bought a house that needs repairs in the 24 ft by 15 ft back yard. He
son4ous [18]

Answer:

below

Step-by-step explanation:

area to be repaired = 24*15=360ft^2

1 bag = 2ft^2

? 360ft^2

360/2 = 180 bags needed

cost of bags = 180*24.95=4491$

7 0
3 years ago
Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability t
erma4kov [3.2K]
To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is

\dfrac{\dbinom{13}1\cdot\dbinom{39}0}{\dbinom{52}1}=\dfrac{13\cdot1}{52}=\dfrac14

When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same, \dfrac14. In other words, drawing a spade is independent of having drawn the heart first.

So the probability of drawing a heart, replacing it, then drawing a spade is \dfrac14\cdot\dfrac14=\dfrac1{16}.
4 0
3 years ago
Read 2 more answers
30 POINTS!! WILL VOTE BRAINIEST
Alex787 [66]
Part A:

Consider from x = -5 to x = -4, they are 1 unit apart and the difference of their outputs is given by:

-3 - (-11) = -3 + 11 = 8.

Thus, the value of the output increases by 8 units for each one unit increase in the input.



Part B:

Consider from x = -3 to x = -1, they are 2 units apart and the difference of their outputs is given by:

21 - 5 = 16.

Thus, the value of the output increases by 16 units for each two units increase in the input.



Part C:

Consider from x = 0 to x = 3, they are 3 units apart and the difference of their outputs is given by:

53 - 29 = 24.

Thus, the value of the output increases by 24 units for each three units increase in the input.



Part D:

It can be noticed that the ratio difference in the outputs to the input intervals are equal for all the given input intervals.

i.e 8 / 1 = 16 / 2 = 24 / 3.
7 0
3 years ago
The driver of the bus filled the gas tank with gas by putting in 21 gallon. If the gas gauge was at five-eighths before she fill
vazorg [7]

Answer:

56 gallons

Step-by-step explanation:

When her gas tank is full, she has x gallons in the tank.

when she went to the gas station, she had (5/8) of x gallons of gas in her tank. she added 21 gallons into her tank, then she had x gallons in her tank.

(5/8)x + 21 = x

subtract x and 21 from both sides

(5/8)x - x = -21

factor out an x from the left side

x(5/8 - 1) = -21

simplify the parenthesis

x(-3/8) = -21

multiply both sides by -8/3

x= 56 gallons

8 0
4 years ago
What is the coefficient in the expression 10x? -7 ?<br> A 7<br> B. X<br> O c. 10<br> O D. 2
allsm [11]

Answer:

C.) 10

Step-by-step explanation:

8 0
3 years ago
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