Perimeter is when you add the sides. The top is 4 and so is the bottom. = 8
One side is 11 and so is the other = 22
8+22= 30
{x-(-3/4)}^2=3^2
(x+3/4)^2=9
{(4x+3)/4}^2=9
(4x+3)^2/16=9
(4x+3)^2=9*16
16x^2+2*4x*3+3^2=144
16x^2+24x+9=144
16x^2+24x+9-144=0
16x^2+24x-135=0
Y = -2x^2 + 50x + 300
-2x^2 + 50x + 300 ≥ 300
-2x^2 + 50x ≥ 0
-2x^2 ≥ -50x
x^2 ≤ 25x
x ≤ 25
Therefore, required domain is 0 ≤ x ≤ 25
Let
x = first consecutive number
x + 1 = second consecutive number
x + 2 = third consecutive number
The sum of these numbers are 111.
x + x + 1 + x + 2 = 111
3x = 111 - 1 - 2
3x = 108
x = 36
Therefore, the smallest number is 36 because other numbers are 37 and 38.
Answer:
x=7 x=-5
Step-by-step explanation:
x^2 -2x-35 = 0
Factor
What two numbers multiply to -35 and add to -2
-7*5 = -35
-7+5 = -2
(x-7) (x+5) =0
Using the zero product property
x-7 =0 x+5 =0
x=7 x=-5
