Answer:
Step-by-step explanation:
<h3>Given</h3>
- f(x) = 3x-2 and g(x) = 2x+1
<h3>To find </h3>
<h3>Solution</h3>
- (f+g)(x) =
- f(x) + g(x) =
- 3x - 2 + 2x + 1 =
- 5x - 1
Answer:
14 cups of flour.
Step-by-step explanation:
Rodney is making three pizzas.
The recipe says that for one pizza he needs flour = 2 cups
Rodney buy a bag of flour containing = 20 cups flour
Rodney needs flour for three pizzas = 3 × 2 = 6 cups
He will have left over flour after making the pizzas = 20 - 6
= 14 cups of flour.
Rodney will have left over 14 cups of flour after making the pizzas.
Answer:
Step-by-step explanation:
Given the approximate demand function of night drink expressed as;
p^2+200q^2=177,
p is the price (in dollars) and;
q is the quantity demanded (in thousands).
Given
p = $7
q = 800
Required
dq/dp
Differentiating the function implicitly with respect to p shown;
2p + 400d dq/dp = 0
400q dq/dp = -2p
200qdq/dp = -p
dq/dp = -p/100q
substitute p and q into the resulting equation;
dq/dp = -7/100(800)
dq/dp = -7/80000
dq/dp = -0.0000875
This means that the rate of change of quantity demanded with respect to the price is -0.0000875
Answer:
74 mph
Step-by-step explanation:
step 1
Find the total time
A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm
so
from 6:30 am to 12:00 pm ----> there are 5 hours + 30 minutes=5.5 hours
from 12:00 pm to 11:45 pm ----> there are 11 hours + 45 minutes=11.75 hours
The total time is
5.5+11.75=17.25 hours
step 2
Find the average speed
we know that
The average speed is equal to divide the total distance by the total time

The answer is C.
Just plug in x = 1 for each of them. The correct one is the one that gives y = 5, which is C.