The expression that represent the profit is given by P(r) = r⁴ - 3r³ - r² - 4
<h3>What is an
equation? </h3>
An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Profit is the difference between revenue and cost. Given that:
R(r) = 2r⁴ - 3r³ + 2r - 1 and C(r) = r⁴ - r² + 2r + 3
P(r) = R(r) - C(r)
P(r) = (2r⁴ - 3r³ + 2r - 1) - (r⁴ - r² + 2r + 3) = r⁴ - 3r³ - r² - 4
The expression that represent the profit is given by P(r) = r⁴ - 3r³ - r² - 4
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f(x) = log2 x
f(40) = log2 40
40 = 2^y
2^5 = 32 and 2^6 = 64
so f(40) lies between integers 5 and 6.
Answer:
P = 48 feet
A = 84 square feet
Step-by-step explanation:
use the Pythagorean Theorem 2 times to find the bases of the two triangles created by the height of eight
1st Δ : one leg is 8 and the hypotenuse is 10
a² + 8² = 10²
a² + 64 = 100
a² = 36
a = 6
2nd Δ : one leg is 8 and the hypotenuse is 17
b² + 8² = 17²
b² + 64 = 289
b² = 225
b = 15
Perimeter = 10 + 17 + 6 + 15 = 48 ft
Area = 1/2(8)(6 + 15) = 4(21) = 84 sq ft
If the puppy weighs 3 pounds every month for five months, (5 x 3), that means he will gain 15 pounds in 5 months. Ad when you add that the original weight, (23 + 15), the puppy will weigh 38 pounds five months from now.
Answer:
x = 120
Step-by-step explanation:
Assuming you require to find the value of x
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
Sum the interior angles and equate to 720
140 + 150 + 90 + x + 130 + 90 = 720 , that is
x + 600 = 720 ( subtract 600 from both sides )
x = 120