Complete Question:
Dustin is buying carpet for the living room. If the length of the room is 21 ft and the width
is 11 ft, how many square feet of carpet does he need to buy?
Answer:
231 ft²
Step-by-step explanation:
==>GIVEN:
Length of room (L) = 21 ft
Width of room (W) = 11 ft
==>REQUIRED:
Square feet of carpet to be bought = area of the rectangular room
==>SOLUTION:
The room to be covered with carpet is rectangular in shape. In order to ascertain the square feet of carpet to be bought, we need to calculate the area of the room by using the formula for area of rectangle.
Thus, area of rectangle (A) = Length (L) × Width (W)
A = 21 × 11
A = 231 ft²
Square feet of carpet to be bought = 231 ft²
Hi there!
First, let's create an equation for the table: m = 2n + 40. Using this equation, we can find the values of x, y, and z.
WORK:
x = 2(4) + 40
x = 8 + 40
x = 48
y = 2(5) + 40
y = 10 + 40
y = 50
z = 2(6) + 40
z = 12 + 40
z = 52
Next, using the equation, we know that the initial investment would be 40, since that is the y-intercept of the equation. To express M in terms of N, that would be our equation m = 2n + 40. To find 10 years, we'll plug in 10 for n.
WORK:
m = 2(10) + 40
m = 20 + 40
m = 60 after 10 years
To figure out when his investment would double, we'll need to use 80 (double his initial investment of 40) in place of m.
WORK:
80 = 2n + 40
40 = 2n
n = 20 years
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
The function f(x) when x=x-4 is
or 
Step-by-step explanation:
Given function f is defined by 
Now to find the function f(x-4):

Put x=x-4 in the above function we get

(using the formula
)

(adding the like terms)


Therefore
or 
The function f(x) when x=x-4 is
or 
Answer:
Equation: x/-9=-16
Solution: x=144
Step-by-step explanation:
Answer:
- domain: x ≥ 7
- range: f(x) ≥ 9
Step-by-step explanation:
The domain is the set of values of x for which the function is defined. Those are the values of x that make the square root argument non-negative:
x -7 ≥ 0
x ≥ 7
__
Since the square root cannot be negative, the sum of it and 9 cannot be less than 9. The range is ...
f(x) ≥ 9