9514 1404 393
Answer:
- $0.04 per cubic foot
- c(w) = 0.04w +80
- 3400 cubic feet
Step-by-step explanation:
(a, b) We are given two pairs of values:
(w, c) = (1900, 156) and (2600, 184)
so we can write the equation of the relationship using the 2-point form of the equation of a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
c = (184 -156)/(2600 -1900)(w -1900) +156 . . . . . substitute given points
c = 28/700(w -1900) +156
c(w) = 0.04w +80
The charge per cubic foot is $0.04.
__
(c) For a bill of $216, the amount of water used is ...
216 = 0.04w +80
136 = 0.04w
3400 = w
Use of 3400 cubic feet of water would lead to a bill of $216.
Answer:
The graph will show an initial value that is lower on the y-axis
Step-by-step explanation:
The exponential function has the next general form:
where <em>a</em> is the initial amount and <em>b</em> is the base.
If the <em>a</em> value in the function is decreased, but remains greater than 0, the y-intercept of the curve decrease.
Answer: they have to equal 180 degrees?
Step-by-step explanation:
Not entirely sure tho
Answer:
v = 1
u = 2
Step-by-step explanation:
Given is a special right triangle with angle measures as follows:
90-60-30
The side lengths would be :
2x- x
-x
in the image it shows that the second side length (the one that sees angle measure 60) is from this we can conclude x = 1 so:
v = 1 and
u = 2
Answer:
x = 1 or x = -5/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + 3 x - 2 = 3
Divide both sides by 2:
x^2 + (3 x)/2 - 1 = 3/2
Add 1 to both sides:
x^2 + (3 x)/2 = 5/2
Add 9/16 to both sides:
x^2 + (3 x)/2 + 9/16 = 49/16
Write the left hand side as a square:
(x + 3/4)^2 = 49/16
Take the square root of both sides:
x + 3/4 = 7/4 or x + 3/4 = -7/4
Subtract 3/4 from both sides:
x = 1 or x + 3/4 = -7/4
Subtract 3/4 from both sides:
Answer: x = 1 or x = -5/2
