Answer: 68 degrees
Step-by-step explanation:
Considering balloon to be an spherical object
Volume of sphere = 
, where r is the radius of sphere.
After 19 minutes ,If radius of balloon changes from r to R, the Volume changes from V to V'.
V'= 
,
As given,rate at which the air leaked out of the balloon (in liters of air per minute) was half of the rate at which Vavilen inflated the balloon.
Also, 
Now, again the radius changes from R to r.So, Volume changes from V' to Back to V.
Time taken by the balloon to deflate = 38 minutes
But there is no relation between time and volume of Balloon.
So, we can't predict at which rate balloon is deflating or inflating.Apart from the statement given in Question:
Answer:
m = 2/3
y-intercept: 2
Explanation:
First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.
This equation should be in the form: Ax + By = C (Standard form)
y = -Ax/B + C/B : y = mx + b (Slope intercept form)
2(6y - 4x) = 24 → 12y - 8x = 24
→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>
<u>8</u>x <u>- 12</u>y = <u>-24</u>
| | |
A B C
Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.
8x - 12y = -24
-8x -8x
(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)
-12y = -8x - 24
×-1 ×-1 ×-1
(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)
12y = 8x + 24
(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)
*Hint: When you have two y's, they could equal each other in order to solve for the x value.
|x^2 -3x + 1| = - (x - 1)
x^2 -3x + 1 = -x + 1
x^2 - 2x + 1 = 1
x^2 - 2x = 0
x (x - 2)
x = 2 and x = 0
Once both of them are plugged in, only x = 2 works so that's the value for x. Now we just plug it in order to solve for y.
y = x - 1
y = 2 - 1
y = 1
(2, 1)
The answer would be C.
