Given:
The Revenue function R(x):

The cost function C(x) :

Solution
1. Profit is the difference between the revenue and the cost. Hence, the Profit function P(x) is:

2. The vertical intercept of P(x) can be obtained by substituting x =0 into P(x)

Ordered Pair : (0, -1240)
If the company sells no items, they would lose $ 1240
The measures of the angles of the isosceles triangle are 55, 55 and 70.
Explanation:
An isosceles triangle has two congruent base angles and a vertex angle.
Let
b
=the measure of one of the base angles.
Let
v
=
the measure of the the vertex angle.
The vertex angle is 40 degrees less than the sum of the base angles.
v
=
b
+
b
−
40
=
2
b
−
40
The sum of the measures of the angles of a triangle is 180.
b
+
b
+
v
=
180
Substitute
2
b
−
40
for
v
.
b
+
b
+
2
b
−
40
=
180
4
b
−
40
=
180
+40+40
Combine like terms.
Add 40 to both sides.
4b=220
Divide by 4
4
b/4
=
220
/4
b
=
55
v
=
2
b
−
40
v
=
2
(
55
)
−
40
=
70
Answer:
t=1
Step-by-step explanation:
Answer:
365.9 Inches
Step-by-step explanation:
To find the value of Sin A can be found using the sine rule. the rule states that the ratio of the length facing an angle in a triangle to the sine of the angle is constant. As such,
a/Sin A = b/Sin B = c/Sin C
Where is a is the side facing angle A, b is the side facing angle B and c is the side facing angle C.
Hence,
58/Sin 19 = r/Sin 115
r = 58 Sin 115/ Sin 19
= 365.9 Inches
We need to have common denominators, so I will multiply 1 1/2 by 4
15/8 + 12/8 + 7/8 = 34/8
4&1/4 pounds of meat