For this case, the first thing we are going to do is define the following variable:
x = unknown number
We now write the following inequality:
5-3x <= 11
We clear x:
5-11 <= 3x
-6 <= 3x
-6/3 <= x
-2 <= x
The solution set is:
[-2, inf)
Answer:
the solution set is:
[-2, inf)
Answer:
40°
Step-by-step explanation:
Angle 1 and Angle 2 are corresponding angles.
Corresponding angles are congruent, so 3x + 4 = 5x - 20
Solving 3x + 4 = 5x - 20
3x = 5x - 24
2x = 24
x = 12
Substitute angle 1
3x + 4 = 36 + 4 = 40
Answer:
x = 5
Step-by-step explanation:
The difference between consecutive terms will be equal , then
a₂ - a₁ = a₃ - a₂ , that is
x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides
x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides
- 2x + 11 = x - 4 ( subtract x from both sides )
- 3x + 11 = - 4 ( subtract 11 from both sides )
- 3x = - 15 ( divide both sides by - 3 )
x = 5
Answer:
1) the factored form is y= ( x-5 ) ( x+4 )
2) the vertex is (4.5, -0.25)
3) the y intercept is when x equals 0 so it is at (0,20)
4) it opens upward and the vertex is (4.5, -0.25) the x intercepts are (4,0) and (5,0) and the y intercept is (0,20)
5)
a. it dips between 4 seconds and 5 seconds so the x intercepts are (4,0) and (5,0)
b. it is taken at the vertex aka the lowest point so the height is -0.25
