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Leya [2.2K]
3 years ago
6

10(n^2+n) -6 (n^2 - 2). simplify the following

Mathematics
1 answer:
Setler [38]3 years ago
3 0

Answer:

4n^2 + 22n

Step-by-step explanation:

10(n^2+n) -6 (n^2 - 2)

10n^2 + 10n - 6n^2 + 12

4n^2 + 22n

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The inverse of g(x) is a function
7nadin3 [17]

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Step-by-step explanation:

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740 or 990

Step-by-step explanation:

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3. For the equation-4y = &amp;r, what is the constant of variation? (1 point)<br> ООО<br> 02
alexandr1967 [171]

Answer:

3).

- 4y = 8x \\  \frac{y}{x}  =  \frac{8}{ - 4}  \\  \frac{y}{x} =  - 2 \\ y =  - 2x \\ hence \: constant \: is \:  - 2

4).

y \alpha x \\ y = kx \\ where \: k \: is \: the \: constant \: of \: proportionality \\ when \: y = 24 \: and \: x = 8 \\ substitute \: in \: y = kx \\ 24 = 8k \\ k =  \frac{24}{8}  \\ k = 3 \\ value \: of \: constant = 3

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k = 30

5).

general \: equation \: of \: line  \\ y = mx + c \\ but \: m =  \frac{2}{3}  \: and \: c = 9 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y =  \frac{2}{3} x + 9 \\ alternatively \\ 3y = 2x + 27

7 0
3 years ago
if your bicycle tire has a diameter of 9 inches. how many rotations does each tire make if you travel 300 feet?
Vesnalui [34]
Step One
Calculate the number of feet traveled in 1 rotation.

Formula
C = π*d
P = 3.14
d = 9 inches = 9/12 feet = 3/4 of a foot.

C = 3.14 * 3/4 = 2.355 So that means that every time the tire turns around 1 complete turn, the distance traveled on the ground is 2.355 feet.
 
Step Two
Figure out the number of revolutions.
1 revolution = 2.355 feet
x revolutions = 300 feet.

1/x = 2.355/ 300  Cross multiply
2.355 feet * x = 1 rev * 300 feet
2.355 x = 300 rev Divide by 2.355
x = 300 / 2.355 
x = 127.39 revolutions. <<<< Answer

8 0
3 years ago
Tell whether the given value is a solution of the inequality.<br> x + 1 &gt; 10; x = 9
Oliga [24]

Answer:

given x+1 > 10,

x > 10 - 1

x > 9

which means x MUST BE more than 9 , which also means 9 isnt included in the inequality therefore x = 9 is not a solution.

6 0
3 years ago
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