Answer:x=6
Step-by-step explanation:g o h is a composition function
First we find g o h
g o h is g(h(x))
We plug in h(x) in g(x)
We replace x with 2x-8 in g(x)
To find domain we look at the domain of h(x) first
Domain of h(x) is set of all real numbers
now we look at the domain of g(h(x))
Negative number inside the square root is imaginary. so we ignore negative number inside the square root
So to find domain we set 2x - 12 >=0 and solve for x
2x - 12 >=0
add both sides by 12
2x >= 12
divide both sides by 2
x > = 6
Answer:
A
Step-by-step explanation:
A. because the first point shows her acceleration and you can see her speed increasing when she hits the second point, so we can say that see accelerated up the ramp and after it hits the third point her speed becomes constant all the way when she reached the highway
Answer:
-2c^2 + c
Step-by-step explanation:
Y=2x+25
2x is the notebook price and quantity.
25 is the sharpener price.
Y is total price for everything.
To find out how far Rachel walked round trip, we first need to find out how long the fastest way between her house and the park is. In the picture, we see a common Pythagorean Triple (the possibility for the sides of a right triangle). The triple with 3 and 4 is 3, 4, and 5. That means that the last side is 5. That means that the total distance is 3 + 4 + 5 km or 12 km. But, if you would like to solve this using the Pythagorean Theorem, one can do it as follows. Since the legs of the triangle are 3 and 4, the hypotenuse squared would be 3² + 4² = 9 + 16 = 25. To find the hypotenuse, we have to find the square root of 25 which is 5, which leads us to the same answer as before.
