Part A: Y=4-x and Y=8-x-1 is just a fancy way of showing the point of intersection, or where both slopes meet, so to figure out x is the point where the x meets.
Part B: Just plug in number between -3-(3) for x
Part C: Solve the equation by drawing the slope of both equations and find where both lines intersect
cylinder
Step-by-step explanation:
the basses is top and bottom so if there circular on top and bottom and curved surface for the body its a cylinder
Answer:
![d \le -3](https://tex.z-dn.net/?f=d%20%5Cle%20-3)
Step-by-step explanation:
The given inequality is;
![\frac{d-3}{10} \ge \frac{2d+3}{5}+\frac{d+3}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bd-3%7D%7B10%7D%20%5Cge%20%5Cfrac%7B2d%2B3%7D%7B5%7D%2B%5Cfrac%7Bd%2B3%7D%7B3%7D)
Clear the fraction by multiply through by 30;
![3(d-3) \ge 6(2d+3)+10(d+3)](https://tex.z-dn.net/?f=3%28d-3%29%20%5Cge%206%282d%2B3%29%2B10%28d%2B3%29)
Expand;
![3d-9\ge 12d+18+10d+30](https://tex.z-dn.net/?f=3d-9%5Cge%2012d%2B18%2B10d%2B30)
Group like terms;
![3d-12d-10d \ge 18+30+9](https://tex.z-dn.net/?f=3d-12d-10d%20%5Cge%2018%2B30%2B9)
![-19d \ge 57](https://tex.z-dn.net/?f=-19d%20%5Cge%2057)
Divide through by -19 and reverse the sign.
![d \le -3](https://tex.z-dn.net/?f=d%20%5Cle%20-3)
Answer:
<em>The equation is linear. Standard form:</em>
<em>7n - 6m - 4 =0</em>
Step-by-step explanation:
<u>Linear Equations</u>
The linear equations are identified because all terms form a polynomial of degree 1 or zero (no variable).
The standard form of a linear equation is:
ax+by+cz+d=0
where x, y, z are the variables, and a,b,c are constants.
The equation:
7n - 8m = 4 - 2m
Is linear, both variables have an exponent of 1 and there is an independent term. Moving all terms to the left side:
7n - 8m - 4 + 2m =0
Simplifying:
7n - 6m - 4 =0