To find the dimensions you can just factor the equation...
x^2+4x-21
x^2-3x+7x-21
x(x-3)+7(x-3)
(x+7)(x-3) and this is equal to LW or WL
And note that x>3 for any possible solution.
Answer: She needed 144 square feet of carpet.
Step-by-step explanation:
Given : Maria is buying new carpet. Her bedroom is in the shape of a square.
The length of each side is 12 feet.
We know that the area of square = 
So , the area of the bedroom =
[which is an exponential expression]
Simplify it
The area of the bedroom = 
Also, the carpet she needed = Area of the bedroom.
Thus , She needed 144 square feet of carpet.
Answer:
1(b) ∀ (A(x) ⇒ B(x) )
2(b) ∀ (B(x) ⇒ C(x) )
3(b) ∀ (B(x) ⇒ E(x) )
Step-by-step explanation:
1) Tofu is healthy
2) Tofu is healthy to eat
3) Tofu eats what taste good
1a) For all x, if x is healthy to eat
2a) For all x, if x is not healthy to eat, then x does not taste good.
3a) For all x, if x is healthy to eat, then x is healthy to eat what tastes good
For all x in order to symbolize the statement
1(a) 2(a) 3(a)
If we use:
A(x): Tofu is healthy
B(x): Tofu is healthy to eat
C(x): Tofu eats what taste good
E(x): Tofu only eat what tastes good
If we symbolize "For all x" by the symbol ∀ then then the propositions 1(a), 2(a) and 3(a) can be written as:
1(b) ∀ (A(x) ⇒ B(x) )
2(b) ∀ (B(x) ⇒ C(x) )
3(b) ∀ (B(x) ⇒ E(x) )
Answer:
C. -0.68427
Step-by-step explanation:
Enter the data into a graphing calculator.
First decide which is the independent and which is the dependent variable. Since the value of the stock depends on the day, value will be dependent and day will be independent.
This means that the days will be entered into the first list and the values will be entered into the second list.
Entering these and running the linear regression, we find the r-value to be -0.68427
.
To find the volume of the prism you are going to use the formula V=WxLxH.
When you plug in your numbers you should get V= 18x6x9 which ends up equaling 972.
Now that you have that you need to find the volume of the pyramid using the formula V= L x W x H /3 and when you plug that in it looks like
V= 18 x 6 x 15 /3
Upon simplifying that you get 540.
Now you have the volume of your rectangular prism and your rectangular pyramid add them together and you should get 1512
I recommend drawing it out... it helps a lot:)