Answer:
4
Step-by-step explanation:
If Judge is x years old and Eden is 6 years older, then Eden is x + 6 years old.
The second part tells us that Eden will be twice as old as Judge in two years.
This means that in two years: (Eden's age) = 2 * (Judge's age).
Since we know that Eden's age can be represented as x + 6 and Judge's age can be represented as x, we can write this: x + 6 = 2 * x
Simplify the equation:
x + 6 = 2x
6 = x = Judge's age (in two years)
If Judge is 6 two years later, then he must be 4 now.
To check our work, we can just look at the problem. Judge is 4 years old and Eden is 6 years older than Judge (that means Eden is 10 right now). Two years later, Eden is 12 and Judge is 6, so Eden is twice as old as Judge. The answer is correct.
Answer:
y = - 6 + 2x
Step-by-step explanation:
Given
4x - 2y = 12 ( subtract 4x from both sides )
- 2y = 12 - 4x ( divide all terms by - 2 )
y = - 6 + 2x
The answer is
The diameter is 4 (2) = 8 and height is 10(2) = 20
For the sides, use area of a cylinder = ph
p = 8 pi cm, ht = 20 cm. A = 160 pi sq cm
Base are 2 circles, each with radius 4 pi
Area = pi r^2 = 16 pi (times 2 circles) = 32 pi sq cm
Answer:
B. -6 does not belong to the domain but belongs to the range of f(x).
Step-by-step explanation:
We have the function,
.
So, the domain of the function is obtained when
i.e. 
That is, the domain is {x | x≥ 7}.
Now as we have,
→
→
→
→
.
That is, 
Thus, the range of the function f(x) is {y | y≤ 1}.
Thus, we can see that,
-6 does not belong to the domain but belongs to the range of f(x).
F(x) = (x - 4) (x^2 + 4) would be your answer.