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FrozenT [24]
3 years ago
11

According to avogadro's what is the mathematical expression denoting this relationship

Mathematics
1 answer:
tatyana61 [14]3 years ago
3 0
Both will get 22.4L 

hope this helps
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For all values of x
Yuliya22 [10]

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

5 0
3 years ago
Find the solutions to the system
Musya8 [376]
<span>y=x^2+5x+6
y=4x+12
Solution = (-3,0) and (2,20)

</span><span>y=x^2-3x-1
 y=8x-1
Solution = (0,-1) and (11,87)</span>
3 0
3 years ago
What is the value for x
Sloan [31]
Because this is a right angle triangle, we can use the Pythagorean theorem to find the missing leg.

The Pythagorean theorem is this: a^{2} + b^{2} = c^{2}

The Pythagorean theorem tells us if you square both the legs then add them up together, you will get the length of the hypotenuse squared.

We know one leg is 24 and the hypotenuse is 26. Plug them into the equation.

24^2 + b^2 = 26^2

Solve for b.

24^2 + b^2 = 26^2
576 + b^2 = 26^2
576 + b^2 = 676
b^2 = 100

Take the square root of both sides.

b = 10

So, the other leg of the triangle is 10 units long.
8 0
3 years ago
Read 2 more answers
A seamstress needs to cut 15-inch pieces of ribbon from a roll of ribbon that is 9 feet length. What is the greatest number of 1
yan [13]
STEP 1:
Divide the length of the ribbon by the size of the pieces.

12 inches= 1 foot

= 9 ft ÷ 15 inch pieces
convert ft to inches
= (12)(9) ÷ 15
= 108 ÷ 15
= 7.2 pieces from one roll

STEP 2:
multiply the number of pieces that can be cut from one roll by the number of rolls

= 7.2 pieces * 5 rolls
= 36 pieces total from 5 rolls

ANSWER: The greatest number of 15-inch pieces that can be cut from five 9-foot rolls is 36.

Hope this helps! :)
4 0
3 years ago
Pls help test is due soon!!!! <br> Y+8=15<br> Y=
dimaraw [331]

Answer:

y = 7

Step-by-step explanation:

15 - 8 =7

6 0
3 years ago
Read 2 more answers
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