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2 years ago

-4x -2 + 3x - 10 How many terms are there? SIMPLIFY. What is the coefficient of x?

Mathematics

1 answer:

Maru [420]2 years ago

6 0

Answer:

Number of coefficients of x: 2 coefficients (-4 and 3)

Number of terms: They're 4 terms. (-4x, -2, + 3x, and -10)

Simplified: - x - 12

Step-by-step explanation:

1) Subtract the numbers.

-4x - 12 + 3x

2) Combine like terms.

- x - 12

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IceJOKER [234]

Answer:

Step-by-step explanation:

c makes the most sense.

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3 years ago

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ellie is learning to play dungeons and dragons. She wants to purchase dice and gaming books. Gaming books cost 40$ each and sets

enyata [817]

Answer: 40G+8D ≤ 80; D must be at least 2 as stated in problem and can be up to 10, and you can have a maximum of 1 game book depending on how many dice sets you get (if you get more than 5 dice sets you cannot have any game books).

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3 years ago

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3 years ago

Why must the value of the sine ratio for an acute angle

Fynjy0 [20]

Answer:

Because of the range of the sine function.

Step-by-step explanation:

The reason why the value of the sine ratio for an acute angle

of a right triangle must always be a positive value less

than 1 has to do with the the range of the sine function.

The range of the sine function is

$- 1 \leqslant y \leqslant 1$

But in the first quadrant all y-values are positive and acute angles are less than 90°.

Therefore the range will now be 0≤y<1 for acute angles.

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3 years ago

(08.06)The following data show the height, in inches, of 11 different garden gnomes:

Elodia [21]

Answer:

The correct statement is:

On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.

Step-by-step explanation:

We are given a data of 11 gardens as:

2 9 1 23 3 7 10 2 10 9 7

Now on removing the outlier i.e. 23 (since it is the very large value as compared to other data points) the entries are as follows:

x |x-x'|

2 4

9 3

1 5

3 3

7 1

10 4

2 4

10 4

9 3

7 1

Now mean of the data is denoted by x' and is calculated as:

$x'=\dfrac{2+9+1+3+7+10+2+10+9+7}{10}\\\\x'=\dfrac{60}{10}\\\\x'=6$

Hence, Mean(x')=6

Now,

∑ |x-x'|=32

Now mean of the absolute deviation is:

$\dfrac{32}{10}=3.2$

This means that , On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.

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3 years ago