Analysis:
1) The graph of function f(x) = √x is on the first quadrant, because the domain is x ≥ 0 and the range is y ≥ 0
2) The first transformation, i.e. the reflection of f(x) over the x axis, leaves the function on the fourth quadrant, because the new image is y = - √x.
3) The second transformation, i.e. the reflection of y = - √x over the y-axis, leaves the function on the third quadrant, because the final image is - √(-x). This is, g(x) = - √(-x).
From that you have, for g(x):
* Domain: negative x-axis ( -x ≥ 0 => x ≤ 0)
* Range: negative y-axis ( - √(-x) ≤ 0 or y ≤ 0).
Answers:
Now let's examine the statements:
<span>A)The functions have the same range:FALSE the range changed from y ≥ 0 to y ≤ 0
B)The functions have the same domains. FALSE the doman changed from x ≥ 0 to x ≤ 0
C)The only value that is in the domains of both functions is 0. TRUE: the intersection of x ≥ 0 with x ≤ 0 is 0.
D)There are no values that are in the ranges of both functions. FALSE: 0 is in the ranges of both functions.
E)The domain of g(x) is all values greater than or equal to 0. FALSE: it was proved that the domain of g(x) is all values less than or equal to 0.
F)The range of g(x) is all values less than or equal to 0.
TRUE: it was proved above.</span>
The answer to this question is 17.5. Because i divided 20 by 8 and got 2.5 and times it by 7.
17.5
Answer: 6-liter bucket are need to fill the tank.
Step-by-step explanation:
24/4= 6
Answer:
The expression is not factorable with rational numbers.
Except if you made a typo in your equation and it's x^2-4x-12
calculation:
-6x2=12
-6+2=-4
Then the answer will be (x+2)(x-6)
Answer:
The two equivalent expression are 
and 
.
The Total cost at state fair will be $66.
Step-by-step explanation:
Given:
Number of friends = 6
Cost for admission for each at the fair = $9.50
Cost of each person ride on Ferris wheel = $1.50
We need to find the two equivalent expressions and then find the total cost.
Solution:
Let the Total Cost be denote by 'T'.
So we can say that;
Total Cost will be equal to Number of friends multiplied by sum of Cost for admission for each at the fair and Cost of each person ride on Ferris wheel.
framing in equation form we get;
Now Applying Distributive property we get;
Hence The two equivalent expression are and .
On Solving the above equation we get;
Hence The Total cost to state fair will be $66.
