Answer:
x = - 2
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
Where c is the value of the x- coordinates the line passes through.
The line passes through (- 2, - 3) and (- 2, 2)
Both of these points have an x- coordinate of - 2, thus
x = - 2 ← equation of line
7. You are finding the area of the box. Not the cube, just a surface. Length times width of the surface. Eliminate other numbers and multiply
24.5×19.5
then
26×24.5
8. You are doing the same thing almost. Word problems are scary, but look for the numbers.
4inch ×8inch × 12inch
Find the volume
Multiply the volume by 3, that'd one answer
Devide the ORIGINAL volume by 2. don't divide the volume you multiplied by 3.
R is 4 if I'm wrong sorry
For part A: you will get 3 linear factors (as the degree of the polynomial is 3). perform the division using (x-1) as your known factor and you will get (x-1)(2x²+11x+15). you can then factor the (2x²+11x+15) to get 2x^3 + 9x^2 + 4x - 15 = (x-1)(2x+5)(x+3)
for part B: since 2x+5 will provide the greatest value (assuming x>0) of the 3 factors, then 2x+5=13. solve to get x=4. if x is 4, then the dimensions are 3'x13'x7' [just sub 4 into the x's for each factor]
for part C: as to the graphing calculator, I don't have one. However, if you solve each linear factor for when it is 0, those values will be the x-intercepts. So your graph should cross the x-asix at 1, -5/2, and -3
Answer:
18) 6x^2-7x-5
19) 20x^2+17x-63
20) 18x^2-20x+2
21) 5x^2+42x+16
Step-by-step explanation:
Perimeter=length×breadth
18) (3x-5)(2x+1)
=6x^2+3x-10x-5
=6x^2-7x-5
19) (4x+9)(5x-7)
=20x^2-28x+45x-63
=20x^2+17x-63
20) (18x-2)(x-1)
=18x^2-18x-2x+2
=18x^2-20x+2
21) (5x+2)(x+8)
=5x^2+40x+2x+16
=5x^2+42x+16
