Answer:
The equation that represents the line that passes through (-6,7) and (-3,6) is: y = -1/3x + 5
Step-by-step explanation:
The equation of line for point=slope form is
y-y₁ = m(x-x₁)
Finding Slope m:
m= y₂-y₁/x₂-x₁
here y₂= 6,y₁= 7,x₂= -3,x₁= -6
m = 6-7/-3-(-6)
m = -1/-3+6
m = -1/3
The slope m = -1/3 and considering point (-6,7) the equation is:
y-y₁ = m(x-x₁)
y-7 = (-1/3)(x-(-6))
y-7 = -1/3(x+6)
y-7 = -1/3x -2
y = -1/3x-2+7
y = -1/3x + 5
So, the equation that represents the line that passes through (-6,7) and (-3,6) is: y = -1/3x + 5
To complete this algebra problem, just like any other, we have to complete the proper steps in order; here as follows.
1. <span><span>−<span>3<span>x^2 </span></span></span>+ <span>20x </span></span>− <span>12
-------------
x - 6
2. </span><span><span>(<span><span>−<span>3x </span></span>+ 2</span>) </span><span>(<span>x − 6</span><span>)
</span></span></span> -----------
x - 6
And finally..
You come up with the answer of:
-3x + 2
I hope this cleared up the little confusion you may have been having. If you need more information on the steps, just ask.
Answer:
-216
Step-by-step explanation:
- * - * - = -
6*6*6= 216
The new mixture exists 56.5% peanuts.
<h3>How to estimate the total number of peanuts required for the mixture?</h3>
The first batch of 9 lb of mixed nuts possesses 40% peanuts.
This means the quantity of peanuts exists:
9 
40/100 = 3.6 lb
The second batch of 9 lb of mixed nuts possesses 73% peanuts.
This means the quantity of peanuts exists:
9 73/100 = 6.57 lb
The total quantity of peanuts in the mix exists
3.6 lb + 6.57 lb = 10.17 lb
There exist 9 lb + 9 lb = 18 lb of mix.
Therefore, the percent of peanuts in the mix exists:
10.17 / 18 100 = 56.5%
The new mixture exists 56.5% peanuts.
To learn more about the total quantity refer to:
brainly.com/question/18919760
#SPJ4
Answer:
Your answer would be (x-4)
Step-by-step explanation:
If you follow the steps of factoring, first you need to set it up. I always start with the term with the variable first.
(x+_)(x+_)
And since we already know one of the factors, we can put that in our expression.
(x+6)(x+_)
Now remember the trick FOIL.
You multiply the FIRSTS together, then the OUTSIDES, then the INSIDES, and finally the LASTS.
To figure out our last blank we us this trick, but backwards. To get the 24 at the end of your expression x^2+2x-24 you multiply the LASTS together. So 6*_=-24. (remember the subtraction sign stays as a negative with the 24) That answer is -4
Hope that makes sense, and good luck!
