<u>For this problem, we need to use our integral knowledge to set up the problem</u>:
<u>The bounds will be from 2 to 6, cutting tiny horizontal bars into the graph, to approximate the area</u>
<u />
<u>Now for the function inside the integral</u>:
⇒ it is the <em>top function</em> minus the <em>bottom function</em>
- <em>top function: y= x²</em>
- <em>bottom function: x-axis ⇒ y =0</em>
<em> ⇒</em> <u>function within integral</u> = x² - 0
<u>Let's put it all together and solve</u>:
<u>Answer: 208/3 ≈ 69.333</u>
<u></u>
Hope that helps!
Answer:
Step-by-step explanation:
Given
For the first 3 hours, we have:
At 6 hours, we have:
Required
Express y as a function of x
First, calculate the slope:
This gives:
The equation is then calculated using:
Where:
Open bracket
Hey there! :)
Answer:
y = 10/9x + 8/3
Step-by-step explanation:
A line that is perpendicular to y = -9/10x - 10 has a slope that is the negative reciprocal. Therefore:
-9/10 --> 10/9. This is the slope of line q.
Use the formula y = mx + b where:
m = slope
x = x coordinate of point
y = y coordinate of point.
-4 = 10/9(-6) + b
-4 = -60/9 + b
Create a common denominator:
-36/9 = -60/9 + b
24/9 = b
Simplify:
b = 8/3.
Rewrite the equation:
y = 10/9x + 8/3
It is 5, I hope this answers your question
If altogether they spent a total of $71, and a cap cost $5, then the price of a t-shirt is $8. Option A is correct
From the question, we are told that all caps cost $5 each
Let the cost of each shirt be x:
If Andy bought a t-shirt and a cap for each of his six friends, there will be 6 shirts and 6 caps
If <u>Bob returned two caps and two t-shirts</u>, there will be 4 caps and 4 shirts left
If <u>Carl bought three t-shirts and returned a cap,</u> the number of caps remaining will be 3 caps and the number of shirts remaining will be 7 shirts
If they spent a total of $71, this means;
3(5) + 7x = 71
15 + 7x = 71
7x = 71 - 15
7x = 56
x = 56/7
x = 8
This shows that the price of a t-shirt is $8
Learn more here: brainly.com/question/16510024