Answer:
The answer is r = 20 - 4d
Step-by-step explanation:
They started out with 20 pounds of food and consume 4 pounds each day which implies after d number of days, they would have consumed 4d pounds.
Hence, the remaining amount of food (r) = 20 - 4d
Answer:
102° and 78°
Step-by-step explanation:
let one angle be x then the other angle is
x + 10 ( 10 more than two-thirds the other angle )
A linear pair of angles sum to 180°, hence
x + x + 10 = 180
x + 10 = 180 ( subtract 10 from both sides )
x = 170
multiply both sides by 3 and divide by 5
5x = 510
x = 102
The 2 angles are x = 102° and
x + 10 = × 102 + 10 = 68 + 10 = 78°
As a check : 102 + 78 = 180 → correct
Answer:
The marginal cost at the given production level is $49.9.
Step-by-step explanation:
The marginal cost function is expressed as the first derivative of the total cost function with respect to quantity (x).
We have that the cost function is given by
So, we need the derivative and then we’ll need to compute the value x = 100 of the derivative.
When x = 100, the marginal cost is
Answer:
<h2>
y = ¹/₂x + 6</h2>
Step-by-step explanation:
The product of slopes of perpendicular lines is -1
y = - 2x + 6 ⇒ m₁ = - 2
m₁m₂ = -1
-2m₂ = -1
m₂ = ⁻¹/₋₂ = ¹/₂
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = ¹/₂
(-2, 5) ⇒ x₁ = -2, y₁ = 5
So the equation in point-slope form:
y - 5 = ¹/₂(x - (-2))
Therefore:
y - 5 = ¹/₂x + 1
y = ¹/₂x + 1 + 5
<h3>
y = ¹/₂x + 6</h3>
First you have to solve the multiplication:
102 + 6*7+8 = 102 + 42 + 8
At last you have to add all:
102 + 42 + 8 = 152
