Answer:![x\geq 7](https://tex.z-dn.net/?f=x%5Cgeq%207)
Step-by-step explanation:
Given
![|2x+3|\geq |x-7|](https://tex.z-dn.net/?f=%7C2x%2B3%7C%5Cgeq%20%7Cx-7%7C)
here we will divide x interval in 3 case
case ![x](https://tex.z-dn.net/?f=x%3C%5Cfrac%7B-3%7D%7B2%7D)
let us take x=-2
|-1| is not greater than |-9|
thus
is not possible
Case ![\frac{-3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%7D%7B2%7D%3Cx%3C7)
Take x=0
|3| is less than |-7|
thus for
equality is not satisfied
Case 3 ![x\geq 7](https://tex.z-dn.net/?f=%20x%5Cgeq%207)
take x=7
|17| is greater than |0|
Thus for
is the required region
Answer:
C
Step-by-step explanation:
1×10-1
1×10^4×1×10^-1=1×10^3
In order to check a solution, just plug in the coordinates. The 1 is x, and the -1 is the y. Just plug the numbers in and see if it works out:
y = 3x + 2
(-1) = 3(1) + 2
-1 = 5
-1 is NOT equal to 5, so (1, -1) is NOT a solution of y = 3x + 2.
Let's look at the second equation and try multiplying it by 4:
4 * (3x + ky) = 4 * 27
Which gives us:
12x + 4ky = 108
This looks almost exactly like the first equation except that instead of -20y, there is 4ky. We could try making them equal to each other and solving for k:
-20y = 4ky
-20 = 4k
k = -5
Then, the answer is k = -5.
<span>2√7 - (-8√7) - 3√7 = </span><span>2√7 + 8√7 - 3√7 = (2 + 8 - 3)</span><span>√7 = 7</span><span>√7</span>