Question

These are the questions from my Math packet I can't figure out. Could someone help and explain to me how you got the answer? Thank you!

Write an equation to model the situation:  

The surface area A of a rectangular prism is the sum of the perimeter P and twice the area of the base B.

Tell whether the pairing is a function:

                  

Input	Output
-3	4
2	6
-10	8
0	5

Graph the function  with the domain x = 0, 1, 2, 3, 4, and 5.

Graph

Graph:

Solve S = 2B + Ph for B.

               

Graph the line that passes through (–5, 2) and (2, 4). Then write the equation of the line in slope-intercept form.

Write an equation of a line that is perpendicular to y = 3x – 5 and passes through (–6, 0).

Solve and graph the linear inequality: 4x + 2y > 6

                  

Answer 1

Solve and graph the linear inequality 4x+2476 Step? divide by 2 2x+y > 3 Step 2 Solve for y y >3-2x Step3 plot in groph y=3-2x 3% Y 20 O fost y = 3-2x Now depending on inequality we shade the region the best way to shade the coregion to put (0,0) in inequality. If inequality holds then shade tow that region which contains (o,o) otherwise shade another region is Step4 put (oo) in 4x+2y >6 ie 076 Not true

write equation of line that is perpendiculca to through (-6,0) y = 32-5 and passes Note :- two lines are perpendiculas lie means they intersect at night angle 90 angle and their slopes are a negative reciprocal of each other If slope of of line is m, then slope of another line me:- 13 mi slope intercept forn y MX + 9b So OU PA slope of our equation of line -1 3 le y=-| x Ix+ b @ 3 our equation of line passes through (-6,0), put in ① and solve for 6 0=-1 (-6) + 6 3 6-2 equation of line i s 43-12-2 3

take any point graph the line that passes through (-5,2) and (24) then write the slope - intercept ferm equation of the line in (2,4) A Be 2 -5 -3 - 2 2 -3 2 step? slope = m = change in y change in x 4-2 2-(-5) 7 Step2 use point slope formula y Y,= m(x-x) Let 8= (-5,2)=(2,8) y-2: 2 (-(-5)) 7 4-2:2 (x+5 7 Y-2 = 2x 7 y= 2x +24 7 구

Tell me whether the paring is a function input -3 output 4 2 '10 s yes its : every a function every element in input has image

Solve for B

S = 2B + Ph

S -Ph = 2B

$\frac{S-Ph}{2}= B$