9514 1404 393
Answer:
- 4
- -2
- 4
- 2
- -2±√2
Step-by-step explanation:
In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.
1. x² +<u> </u><u>4 </u>x +2 = 0
The constant is subtracted from both sides to get the second line.
2. x² +4x = <u> -2 </u>
The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4
3. x² +4x +<u> 4 </u> = -2 +4
On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.
4. √(x +2)² = ±√<u> 2 </u>
Finally, 2 is subtracted from both sides to find the values of x.
5. x = <u> -2 ±√2 </u>
You can really just use a calculator...........
16.
For number 19:
"at least 150" means either 150 ≤ ? or ? ≥ 150
plus 3 so +3x
The answer would be 150 ≤ 100 + 3x
Number 20:
A is at -2.5. The inverse is the opposite so 2.5
10. D. Use inverse operations
D. Reverse
Hopefully this helps!
We can represent the three integers with x, x + 2, and x + 4
This shows that the integers ascend in two units at a time, which are consecutive even integers. Next we can just translate the equation straight through.
5(x+4)=2(x + x + 2 + 42)
5x + 20 = 2(2x + 44)
5x + 20 = 4x + 88
x = 68
The integers are 68, 70, and 72
