Answer:

Step-by-step explanation:
We have been given that a certain function is an inverse proportion. We are asked to find the formula for the function if it is known that the function is equal to 12 when the independent variable is equal to 2.
We know that two inversely proportional quantities are in form
, where y is inversely proportional to x and k is constant of variation.
Upon substituting
and
in above equation, we will get:

Let us solve for constant of variation.


Now, we will substitute
in inversely proportion equation as:

Therefore, the formula for the given scenario would be
.
5x³ + 8x² - 7x - 6
1)
x + 2 is a factor because when using synthetic division, the remainder is zero.
-2 | 5 8 -7 -6
<u>| ↓ -10 4 6 </u>
5 -2 -3 0 ← remainder is zero
2)
x + 2 is not a factor because when using synthetic division, the remainder is not zero.
-1 | 5 8 -7 -6
<u>| ↓ -5 -3 10 </u>
5 3 -10 4 ← remainder is not zero
Answer:
slope=-1/2
y intercept =-2
Step-by-step explanation:
what u have to do is get y on 1 side and 3x on the other, so take away 3x from both sides which leaves you with 6y = -3x -12. then divide both sides by 6 to get y on it's own so you have y= -1/2x -2. this formula is y=mx+c the m is always the slope and the c is always the y intercept
Y=2x+4
To graph this linear function, put a point on (0,4) since 4 is the y-intercept. From that point, place the next point two units up and one unit over from the y-intercept since the slope is 2 or 2/1.