Answer: -(x + 3)^2 = 3
Explanation:
-x^2 - 6x + 6 = 0
-x^2 - 6x = -6
-x^2 - 6x + 9 = -6 + 9
-(x + 3)^2 = 3
You multiply top and bottom of the fraction by the conjugate of 5 - √2 which is 5 + √2. This produces a rational denominator:-
= √7 ( 5 + √2) / (5 - √2)(5 + √2)
= √7 ( 5 + √2) / (25 -2)
= (√7 ( 5 + √2)) / 23 answer
Answer:148
Step-by-step explanation:
125g x 8 = 1000g
18.5x8=148
Answer:
x<3
where x does not exist
(-infinity, 3)
Where x exists
[3, infinity]
Step-by-step explanation:
I'm just going to answer the first one.
Treat it like your solving for x, however the only difference is that it's an inequality.
3x-2 <7
3x< 7+2
3x/3x < 9/3
x<3
Now we know where x does and does not exist.
I'm assuming your teacher wants that, (-infinity, 3) (this is where it does not exist)
[3, infinity]
In case you were wondering square brackets is where it exists and curled is where it doesn't.
There are two possible ways for X=1: first light is green and second is red OR first light is red and second is green. The probabilities for these two options are to be summed: 0.6*0.4 + 0.4*0.6 to give the probability of exactly one light being green, namely 0.48.