Answer:
The length would be 31.5ft and the width would be 26.5ft
Step-by-step explanation:
For the purpose of this, we'll set the width as x. We can then define the length as x + 5 since we know it is 5 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.
P = 2l + 2w
116 = 2(x + 5) + 2(x)
116 = 2x + 10 + 2x
116 = 4x + 10
106 = 4x
26.5 = x
Now since we know that the width is 26.5ft, we can add 5ft to it to get the length, which would be 31.5ft.
Simply divide the price by the number of ounces to get the price per oz.
$1.39 ÷ 12 = about $.1158 cents per oz
$2.79 = 24 = about $.11625 cents per oz.
By a very small amount the $1.39 bottle is a better deal.
You could also think that $1.39 for 12 oz is $2.78 for 24 (I doubled both numbers)
$2.78 for 24oz is a drop cheaper than $2.79 for 24 oz so $1.39 is a slightly better buy.
Answer:
4
Step-by-step explanation:
2^2
Take the base, which is the bottom number, and multiply it by itself the top number of times
a^b would be a multiplied by itself b times
a*a*a*a.... b times
2^2
The base is 2. Multiply 2 , two times
=2*2
=4
Answer:
<h2>
12q</h2>
Step-by-step explanation:
Given P = 6q² + 3, we are to find the derivative of the function with respect to q. Generally if y = axⁿ;
dy/dx = naxⁿ⁻¹
Rewriting the given equation as P = 6q² + 3q⁰
Using the formula to find the derivative;
dP/dq = 2(6)q²⁻¹ + 0(3)q⁰⁻¹
dP/dq = 12q¹ + 0
dP/dq = 12q
<em>Hence the derivative of the function P with respect to q is 12q</em>
Answer:
Step-by-step explanation:
<u>Given:</u>
- f(x) = - x² - 1
- g(x) = x + 5
<u>Find f(g(x)):</u>
- f(g(x)) =
- f(x + 5) =
- - (x + 5)² - 1 =
- - x² - 10x - 25 - 1 =
- - x² - 10x - 26