45/45/90 triangles have side lengths leg/leg/leg root2
Here the leg is root 7 and the x is in the hypotenuse so x is root 7 * root 2
Simplifies to root 7*2 = root 14
Given that f(x) is a function that represents number of hours required to travel, the domain of the function is: distance travelled in miles (x)
<em><u>Recall:</u></em>
- In a relation that is a function, the domain of the function is the set of input values (x-values).
- The range of the function is the set of output values (y-values or f(x)).
Thus, given that f(x) is a function that represents number of hours required to travel, therefore:
- x = input values (domain) = distance travelled in miles
- f(x) = output values (range) = number of hours.
Learn more about domain of a function on:
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Answer:
-1
Step-by-step explanation:
f(x) = x
g(x) = x +1,
g[f(-2)].
First find f(-2) = -2
Then substitute into g(x)
g(-2) = -2+1
=-1
Answer:
Why are you playing with marbles?
Step-by-step explanation:
Let:
x = the middle integer
Then the 3 consecutive integers are:
x - 1, x, x + 1
The product of the first and the third integer:
(x - 1)*(x + 1) = x^2 - 1
is equal to:
3 more than 3 times the second integer:
3x + 3
So:
x^2 - 1 = 3x + 3
Solve:
x^2 - 3x - 4 = 0
(x-4)(x+1) = 0
x = -1 and 4
Since x is the middle integer, we have two sets of solutions:
3,4,5 and -2,-1,0
