I just wrote it out so hope this helps :)
Answer:
fg(2) = 9 means that f(g(2)) = 9
We know that g(2) = 6
So f(6) = 9 which means that
6a - b = 9 (note 1)
And we know that g(f(1/2)) = 2
And we know that f(1/2) = 1/2(a) - b
So g(1/2(a) - b) = 2
Meaning that 1/2(a) - b + 4 = 2
So 1/2(a) - b = - 2 (note 2)
Using note 1 and 2 we can solve the equation
11/2(a) = 11 so a = 2 and b = 3
Answer: The height of the stuffed toy canary is 18 inches so Jesus is right.
Step-by-step explanation:
We can represent the first statement by the equation 22= 2x - 14 where x is the height of the stuffed toy canary so solve for x
22 = 2x -14 Add 14 to both sides
+14 +14
36 = 2x Divide both sides by 2
x = 18
Jesus is right.
The expressions with a product less than 2/3 are:
2/3 × 2/3 and 5/6 × 2/3 ⇒ 2nd and 4th
Step-by-step explanation:
Let us revise some fact about the product of two numbers
- If x is multiplied by y where y > 1, then the product is greater than x (Ex: if x is 3/4 and y is 2, then xy = (3/4)(2) = 3/2 which is greater than 3/4)
- If x is multiplied by y where 0 < y < 1, then the product is less than x (Ex: if x = 2/5 and y = 1/3, then xy = (2/5)(1/3) = 2/15 which is less than 2/5)
We need to select all the expressions with a product less than 2/3
∵ 4 and 1/8 × 2/3
- 4 and 1/8 means mixed number 
∵
> 1
- That means the product of it and 2/3 will be greater than 2/3
as the first fact above
∴
×
> 
∵
× 
∵
is between 0 and 1
- That means the product of it and 2/3 will be less than 2/3
as the second fact above
∴
×
< 
∵
× 2
∵ 2 > 1
- That means the product of it and 2/3 will be greater than 2/3
as the first fact above
∴
× 2 > 
∵
× 
∵
is between 0 and 1
- That means the product of it and 2/3 will be less than 2/3
as the second fact above
∴
×
< 
The expressions with a product less than 2/3 are:
2/3 × 2/3 and 5/6 × 2/3
Learn more:
You can learn more about the fractions in brainly.com/question/1312102
#LearnwithBrainly
Answer:
8x - 1x
Step-by-step explanation:
Just do the stuff in the ()'s first, for this it's is 4x - 3x, then rewrite the problem and it is simplified