Answer:
It's like solving a quadratic, but in reverse, and in this case you'll arrive at x2+x−12=0
Explanation:
We're going to go "backwards" with this problem - normally we're asked to take a quadratic equation and find the roots. So we'll do what we normally do, but in reverse:
Let's start with the roots:
x=3, x=−4
So let's move the constants over with the x terms to have equations equal to 0:
x−3=0, x+4=0
Now we can set up the equation, as:
(x−3)(x+4)=0
We can now distribute out the 2 quantities:
x2+x−12=0
A) For the equation
, the slope is
.
Slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. This means that if
, the slope is
.
B) Since this equation is in the same form, you just find what m is equal to.
Since
, that's the slope.
For the solution, set
equal to
, so it would be put together like this:
![y=[tex]- \frac{1}{2}x+3=2x-4\\ -\frac{1}{2}=2x-7\\ 1\frac{1}{2}x=-7\\ x=-4.66667](https://tex.z-dn.net/?f=y%3D%5Btex%5D-%20%5Cfrac%7B1%7D%7B2%7Dx%2B3%3D2x-4%5C%5C%20-%5Cfrac%7B1%7D%7B2%7D%3D2x-7%5C%5C%201%5Cfrac%7B1%7D%7B2%7Dx%3D-7%5C%5C%20x%3D-4.66667)
So your answer is
-4.667.
Answer:
(1,3)
Step-by-step explanation:
If a point is translated to the left it must be subtracted from the original coordinates because the left is getting closer to the negative side of the graph. If it is being translated up that number should be added, so (6-5,-3+6) which is (1,3).
Answer:
1/18
Step-by-step explanation:
5/6 of an estate is to be divided among relatives
Let the total estate = 1
Remaining estate = 1 - 5/6
= 6-5/6
= 1/6 of the estate
Of the remaining a state 1/3 goes to the American cancer society
what fraction of the estate goes to the American Cancer Society
= 1/3 × 1/6
= 1/18
The fraction of the estate that goes to the American Cancer Society = 1/18
