2/5 + 3/5 = 5/5= 1
Which means 3+1=4
The ? Is 3/5
Given:
$ 1.50 / gallon
1 gallon = 28 miles;
Solution:
$ 24.00 / $ 1.50 = 16 gallons
16 gallons x 28 miles = 448 miles
have a nice day:)
9514 1404 393
Answer:
c = -3; d = 5
Step-by-step explanation:
The function is differentiable if it is continuous and the derivative is continuous.
This function will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...
5(3^2) +c = 45 +c
From the right, the limit is ...
d(3^2) -3 = 9d -3
__
The derivative will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...
f'(x) = 10x
= 10(3) = 30
From the right, the limit is ...
f'(x) = 2dx
= 2d(3) = 6d
__
This gives us a pair of simultaneous equations in 'c' and 'd':
45 +c = 9d -3
6d = 30
The latter tells us d = 5. Then the former tells us ...
45 +c = 9(5) -3 ⇒ c = -3
The function is differentiable if c = -3 and d = 5.
_____
<em>Additional comment</em>
With these values, the function becomes ...
9514 1404 393
Answer:
10
Step-by-step explanation:
If there is a constant rate of change, its value will be ...
k = y/x
k = 250/25 = 10
The constant rate of change is 10.
y = 10x