Answer:
I would have to go with x = 8 and y = 5, meaning the solution is (8, 5).
Step-by-step explanation:
1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s
2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one.
C(101) = 101² - 10,000
C(101) = 201
C(100) = 100² - 10,000
C(100= 0
C(101) - C(100) = 201
Average rate of change in cost is 201 dollars/ unit between the two points.
Answer:
380d + 530t > 21,000
Step-by-step explanation:
Each DVD costs $380, we can represent that as:
380d
Each TV costs $530, we can represent that as:
530t
We add these together to find the total profit:
380d + 530t
The manager predicts that whatever the total profit is, will be more than $21,000. So, we represent that as this:
380d + 530t > 21,000
And that is the final answer.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Answer:
Step-by-step explanation:
Put in the form of y = Ax + B
x + 2y = 10
2y = -x + 10
y = -½x + 5
has a slope of -½ and a y intercept of 5
-x + 4y = 8
4y = x + 8
y = ¼x + 2
has a slope of ¼ and a y intercept of 2
Answer:
It's B.) 1518
using fraction calculator**
As a positive improper fraction (numerator > denominator):
18/15 = 6/5
As a mixed number
(a whole number and a proper fraction, of the same sign):
18/15 = 1 1/5
As a decimal number:
18/15 = 1.2
As a percentage:
18/15 = 120%
Step-by-step explanation:
