Answer:
C(x) = 7x + 10
Step-by-step explanation:
If the delivery charge is $10 for any number of board feet ordered.
If the delivery charge is $10 for each board feet ordered, the function would
be C(x) = (7 + 10)x = 17x
Answer:
11.25
Step-by-step explanation:
The equation for a parabola is:
y − k = 1/(4p) (x − h)²
where (h, k) is the vertex and p is the distance from the focus to the vertex.
1/(4p) = 1/45
4p = 45
p = 11.25
The distance from the vertex to the focus is 11.25 inches.
Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m = 
= 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m = 
= 
, then
= 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
9514 1404 393
Answer:
c = 150p + 1000
Step-by-step explanation:
We know the variable cost is 150 per phone, so the total cost will be ...
c = 150p +b . . . . for some value b
We also know the value of c for 8 phones, so we can find b:
2200 = 150(8) + b
2200 -1200 = b = 1000
Then the desired equation is ...
c = 150p + 1000
Answer:
135 cm
Step-by-step explanation:
Let Jose's height = x
The mean of their heights = 150
Given the Heights:
150cm, 170cm, 140cm, 155cm
The mean is the sum if the heights divided by the number of people
Here :
(150 + 170 + 140 + 155 + x) / 5 = 150
(615 + x) / 5 = 150
615 + x = 750
x = 750 - 615
x = 135 cm
