First, substitute y in 3x-2y=9 for what it says y equals (2x-7). You now have: 3x-2(2x-7)=9. Breakdown:
3x-2(2x-7)=9
3x-4x+14=9
-1x=-5
x=5
next solve for y
y=2x-7
y=2(5)-7
y=10-7
y=3
<span>So Now We Have x=5, and y=3.
</span>Hope That Helped =D
Answer: A = 58
Step-by-step explanation: The sketched region enclosed by the curves and the approximating rectangle are shown in the attachment.
From the sketches, the area will be integrated with respect to y.
To calculate the integral, first determine the limits, which will be the points where both curves meet.
In respect to y:



Finding limits:


Multiply by 2 to facilitate calculations:

Resolving quadratic equation:

y = 6 and y = -8
Then, integral to calculate area will be with limits -8<y<6:


![A = 24.6 - \frac{6^{3}}{6}-\frac{6^{2}}{2}-[24.(-8) - \frac{(-8)^{3}}{6}-\frac{(-8)^{2}}{2}]](https://tex.z-dn.net/?f=A%20%3D%2024.6%20-%20%5Cfrac%7B6%5E%7B3%7D%7D%7B6%7D-%5Cfrac%7B6%5E%7B2%7D%7D%7B2%7D-%5B24.%28-8%29%20-%20%5Cfrac%7B%28-8%29%5E%7B3%7D%7D%7B6%7D-%5Cfrac%7B%28-8%29%5E%7B2%7D%7D%7B2%7D%5D)
A = 58
<u>The area of the enclosed region is 58 square units.</u>
To calculate for the y-intercept, simply solve for an equation where x=0
9(0)-6y=-36
-6y=-36
divide both sides by -6
y=6
The y-intercept is 6
Answer:
Step-by-step explanation:
1.put your percent over a 100 so
125%/100 then put 60 over x
2.then cross multiply 100x60=6000
3.then divide 6000 by 125 which is percent
4.your answer is-48