Assuming that the cost per minute is the same for both months and the plan fee is the same, you can use y=mx+b for this
y is the cost of the phone plan, x is the cost per minute and b is the start cost.
so 19.41=25x+b for the first month
and 45.65=380x+b for the second month
solve both for b you get:
19.41-25x=b and 45.65-380x=b. from this we get
19.41-25x=45.65-380x
solve for x
328x=26.24 and x=0.08
this means the cost per minute is 0.08c/min (answer A)
rewrite the equation to calculate b, and where this time, the x is the number of minutes talked.
y=0.08x+b and plug in one of the two months
45.65=0.08 * 380 + b
Solve for b and b is 15.25
so the final equation is
y=0.08x+15.25 (answer B)
Answer:
The graph of a quadratic equation, or a parabola, looks like a U, an upside down U, a C, or a backwards C. We can use the following rules to determine what the graph of a given quadratic equation looks like. If y = ax2 + bx + c, and a is positive, then the graph of the equation is the shape of a U.
Step-by-step explanation:
bc
Answer:
The line would be y = 2x + 5
Step-by-step explanation:
To find a parallel line, we first need to note that the slope of the original line is 2. This means the slope of our new line will also be 2 because parallel lines have the same slope.
So we use the slope we found along with the point given in point-slope form. Then we solve for y.
y - y1 = m(x - x1)
y - 11 = 2(x - 3)
y - 11 = 2x - 6
y = 2x + 5
The approximate length of rail that needs to be replaced is 7.1 ft
<h3>Length of arc</h3>
Since the pool is circular, the approximate length that needs to be replaced is an arc of length, L = Ф/360° × πD where
- Ф = central angle of rail section = 27° and
- D = diameter of circular pool = 30 ft
<h3>Approximate length of rail</h3>
So, substituting the values of the variables into the equation, we have
L = Ф/360° × πD
L = 27°/360° × π × 30 ft
L = 3/40 × π × 30 ft
L = 3/4 × π × 3 ft
L = 9/4 × π ft
L = 2.25 × π ft
L = 7.07 ft
L ≅ 7.1 ft
So, the approximate length of rail that needs to be replaced is 7.1 ft
Learn more about length of an arc here:
brainly.com/question/8402454
