Answer:
question no 1:slope=5
Step-by-step explanation:
let(x=5andy=8)(a=7andb=18)
now
slope=(b-y)/(a-x)=(18-8)/(7-5)=5
We are given with the inequality |2x + 1| ≤ 5 and asked to solve the equation. In this case, we take first the positive side, that is 2x + 1 ≤ 5. this is equal to 2x ≤ 4 or x ≤ 2. For the negative side, the equality is -5 ≤ 2x + 1. This is equal to -6 ≤ 2x or -3 ≤ x. Hence the solution is -3 ≤ x ≤ 2. The answer is B. closed dots on -3 and 2 with shading in between. The equal in <span>≤ means closed dots.</span>
Answer:
x=10
Step-by-step explanation:
(17+x+10+51+17)/5=21
95+x=105
x=10
Answer:
0<x<1
Step-by-step explanation:
(x+3)(x−4)<−12
FOIL
x^2 -4x+3x -12 <-12
x^2 -x -12 <-12
Add 12 to each side
x^2 -x -12+12 <-12+12
x^2 -x <0
Factor out an x
x(x-1) <0
Using the zero product property
x(x-1) =0
x=0 x-1=0
x=0 x=1
Check the ranges
x<0
x(x-1) <0
- * - >0
False
0<x<1
x(x-1) <0
+ * - <0
True
x>1
x(x-1) <0
+ * + >0
False
The area is A. 84 square inches