Answer:
Range is [1, ∞)
Step-by-step explanation:
The values of x can be 1 up to infinity (the domain).
When x = 1 , f(x) = 1^2 = 1
when x = ∞, x^2 = ∞
So the range is [1, ∞)
A) The answer is $38.95
Two walls have dimensions: 14 ft x 8 ft, each with area A1 = 14 · 8 = 112 ft²
Two walls have dimensions: 18 ft x 8 ft each with area A2 = 18 · 8 = 144 ft²
The area that needs to be painted is:
A = 2A1 + 2A2 = 2*112 + 2*144 = 224 + 288 = 512 ft²
Since you need two coats of paint, total area that needs to be painted is
512 × 2 = 1024 ft²
Now, make a proportion:
If 1 gallon covers 250 ft², how many gallons will cover 1024 ft²
1 : 250 = x : 1024
x = 1024/250 = 4.096 gallons ≈ 4,1 gallons
Since 1 gallon costs $9.50, 4.1 gallons will cost $38.95:
$9.50 × 4.1 gallons = $38.95
b) The answer is $1,260.
The dimensions of the floor are: 18 ft × 14 ft
Therefore, the area that needs to be covered with carpet is:
A = 18 · 14 = 252 ft²
Since 1 ft² costs $5, that means that 252 ft² will cost $1,260:
252 ft² × $5 = $1,260
c) The answer is $1,890.
The ceiling will have the same dimensions and the same area as the floor.
The dimensions of the ceiling are: 18 ft × 14 ft
Therefore, the area that needs to be covered is:
A = 18 · 14 = 252 ft²
Since 1 ft² costs $7.50, that means that 252 ft² will cost $1,890:
252 ft² × $7.5 = $1,890
d) The answer is $3,188.95.
We now know that:
- the cost of painting the four walls with two coats of paint is: $38.95
- the cost of carpeting the floor with carpet is: $1,260
- the cost of ceiling with acoustic tile is: $1,890
All we have to do is to sum it up to find the total cost of renovating the walls,floor, and ceiling:
$38.95 + $1,260 + $1,890 = $3,188.95
Answer:
4 y = -4 x + 8 or y = -x + 2
y - x = -2 or y = x - 2
using the standard form for a line y = m x + b
We see that in one equation m = -1 and in the other m' = +1
this is the condition for perpendicular lines
Answer: 2/5
Step-by-step explanation:
There are 15 total marbles in the bag. 12 are blue, with only 6 made from plastic. 6/15 reduced is 2/5
Answer:
"X"= 2
Step-by-step explanation:
1. combain like terms in the equation.
2. then divide both sides by what you get after combining which could be "82".
3. then 82 divide by 82 is 0, then "x"will remain.
4. then 243 ÷ 82=2.
5. then X =2.
