The ratio of games lost to won would be 6 to 9, or 6:9. This could be simplified by dividing both by dividing both sides by three, giving you 2 to 3 or 2:3
Subtraction of a number from x represents a shift towards right. So this means g(x) has been shifted 4 units to right. Addition of a number to the function value represents a vertical shift. So g(x) has been shifted 3 units up to get f(x).
So, we can write f(x) as:
f(x) = g(x - 4) + 3
So, translate g(x) 4 units to right and 3 units up to get f(x).
Thus, option C is the correct answer
Answer:
Step-by-step explanation:
Given that,
|P| = 2x / 5 + 1
|Q| = x + 1
|P+Q| = 3x + 2
We know that, from Cauchy inequalities
|P| + |Q| > |P+Q|
(2x / 5) + 1 + x + 1 > 3x + 2
(2x / 5) + 2 + x > 3x + 2
Multiply through by 5
2x + 10 + 5x > 15x + 10
Collect like terms
2x + 5x - 15x > 10 -10
-8x > 0
Then,
Divide both side by -8, since we are dividing with a negative number the inequality sign will change
Then,
x < 0 first condition
Note that,
|P| > 0
Then,
2x / 5 + 1 > 0
2x / 5 > -1
2x > -5
x > -5/2
Also,
|Q| > 0
x + 1 > 0
x > -1
Also
|P+Q| > 0
3x + 2 > 0
3x > -2
x > -2 / 3
So, comparing the four conditions
We see that x ranges from -5/2 to 0, this range covers all the other ranges
(-5/2, 0)
The first answer is correct
Answer:
c
Step-by-step explanation:
3 times c which is the number of cousins + 8 which she got from her mom
=
