Answer: 6 yards.
Step-by-step explanation:
First, multiply the length and the height to get 800. You know now that 800 times the width will be your volume, 4800. To find the width, divide the volume by 800, which is the length times the height. Check your work by doing 40 times 20 times 6. You get 4800, which is your volume, which means your correct!
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.
Answer:
its a combination problem, so in your calculator put 9 nCr 4 and you'll get 126. i hope this helps. :)
Step-by-step explanation:
Answer:
Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.
Step-by-step explanation:
First of all we know that the total surface are that Calvin is painting is 115 square feet.
The rate at which Calvin is painting refers to the surface area he covers every 2 minutes. This is 2.5 square feet every 2 minutes.
we can set up a relation to solve this problem
If Calvin paints 
in 2 minutes
He will paint 
in 
minutes
By cross multiplying, we have 
Hence Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.
Answer:
x = 2.8
Step-by-step explanation:
17x+1+20x-14 = 90
Combine like terms.
37x-13 = 90
Add 13 on both sides.
37x-13 = 90
<u>+13 +13</u>
37x = 103
Divide both sides by 37.
37x = 103
<u>/37 /37</u>
x = 2.8
(I rounded up, but if you need a more specific number, just search up 103 divided by 37.)
Hopefully this helps you!! Have an amazing day c:
