Answer:
the desired equation is y = -7x + 48
Step-by-step explanation:
As we go from (6, 6) to (8, -8), x (the "run") increases by 2 while y (the "rise") increases by 14. Thus, the slope is m = rise/run = -14/2 = -7.
The slope intercept form of the equation of a straight line is y = mx + b. Here we need to find b.
y = mx + b becomes 6 = -7(6) + b, or 48 = b.
Thus, the desired equation is y = -7x + 48
You have a 3/6 chance of getting even number (there are 3 even nunbers in the 6 die)
You have a 1/16 chance of getting a 16 on the other die
multiply them 1/3 × 1/16 then convert it to decimal form is your answer
Dude where are the triangles
Answer:
The real roots are
and 
The sum of the squares of these roots is 
Step-by-step explanation:
The given quadratic equation is 
has two real roots.
To find the roots .
Dividing the above equation by 2
For quadratic equation 
the solution is 
Where a and b are coefficents of 
and x respectively, c is a constant.
For given quadratic equation
a=4, b=6, c=-7
The real roots are
and
Now to find the sum of the squares of these roots
![\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3+\sqrt{37}-3-\sqrt{37}}{4}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7B-3%2B%5Csqrt%7B37%7D%7D%7B4%7D%2B%5Cfrac%7B%28-3-%5Csqrt%7B37%7D%29%7D%7B4%7D%5Cright%5D%5E2%3D%5Cfrac%7B-3%2B%5Csqrt%7B37%7D-3-%5Csqrt%7B37%7D%7D%7B4%7D)
![\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3}{2}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7B-3%2B%5Csqrt%7B37%7D%7D%7B4%7D%2B%5Cfrac%7B%28-3-%5Csqrt%7B37%7D%29%7D%7B4%7D%5Cright%5D%5E2%3D%5Cfrac%7B-3%7D%7B2%7D)
Therefore the sum of the squares of these roots is
200+0.08x
=200+0.08(3200)
=200+256
=$456. As a result, he earns total $456 last week. Hope it help!
