Y = x^2 + 2x - 1 = x^2 + 2x + 1 - 1 - 1 = (x + 1)^2 - 2
The vertex of a parabola given by y = a(x - h)^2 + k is (h, k).
Therefore, the vertex of y = (x + 1)^2 - 2 is (-1, -2)
Answer:
x = -8
Step-by-step explanation:
x + (8/4) = -6
x × 4 + (8/4) × 4 = -6 × 4
4x + 8 = -24
4x = -24 - 8
4x = -32
x = -8
Answer: 
Step-by-step explanation:
For this exercise it is important to remember the following:
Given the following expression:
You can notice that the radicand (the number inside the square root) is negative. Therefore, in order to simplify the expression, you need to follow these steps:
1. Replace 
with 
and simplify:
2. Descompose 12 into its prime factors:
3. Substitute into the expression:
4. Since ![\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
, you can simplify it:
9514 1404 393
Answer:
50 ft
Step-by-step explanation:
The side lengths in a 30-60-90 triangle have the ratios 1 : √3 : 2. The longest side is 2 times the length of the shortest side.
In this geometry, that means the length of the escalator is 2 times its height, so is ...
x = 2(25 ft)
x = 50 ft . . . . . distance a person travels
Answer:
yes correct
Step-by-step explanation:
given
5x ≥ 3x + 4 ( subtract 3x from both sides )
2x ≥ 4 ( divide both sides by 2 )
x ≥ 2 ← is the solution to the inequality
The only value greater than 2 is 3
