Answer:
for this case we have the following functions:
f (x) = x + 8
g (x) = -4x - 3
Subtracting the functions we have:
(f - g) (x) = f (x) - g (x)
(f - g) (x) = (x + 8) - (-4x - 3)
Rewriting:
(f - g) (x) = x + 8 + 4x + 3
(f - g) (x) = 5x + 11
Answer:
D. (f - g) (x) = 5x + 11
The equation that represents profit is $40x - $20.
The profit after 5 days in business is $180.
The profit after 10 days in business is $380.
The profit after 10 days in business if revenue is $45 is $430.
<h3>What is profit? </h3>
Profit is total revenue less total cost.
Profit = total revenue - total cost
Profit = $40x - $20
Where:
x = number of days
<h3>What is the total profit after 5 days and 10 days? </h3>
$40(5) - $20
= $200 - $20
= $180
$40(10) - $20
$400 - $20
$380
<h3>What is total profit if revenue is $45? </h3>
$45(10) - $20
= $450 - $20
= $430
To learn more about profit, please check: brainly.com/question/26181966
It should be eight if I remember correctly
To find the ordered pair, we simply set the x value equal to 6.
We already know the first coordinate will be 6.
f(6) = 3(6) - 4
f(6) = 18 - 4
f(6) = 14
<h3><u>The y value is 14, and so our coordinate pair is (6, 14)</u></h3>
Answer: each guest gets 4.19 cm²
Step-by-step explanation:
The cake is a circle. The area which he cuts for himself is a sector with a central angle of 120 degrees. The formula for determining the area of a sector is expressed as
Area of sector = θ/360 × πr²
Where
θ represents the central angle
π is a constant whose value is 3.14
r represents the radius of the circle.
From the diagram,
r = 4cm
Therefore, area of the cake that he cut for himself is
120/360 × 3.14 × 4²
= 16.75 cm²
The total area of the cake is
3.14 × 4² = 50.24 cm²
Therefore, the rest of the cake is
50.24 - 16.75 = 33.49 cm²
The amount that each guest gets would be
33.49/8 = 4.19 cm²
