Answer:
The domain is
and its range is 
The y-intercept is (0,3).
Step-by-step explanation:
Consider the parent function
Its domain is
and its range is 
The graph of the function
is obtained from the graph of parent function by translation 3 units up (see diagram). This translation doesn't change the domain and will change the range of the function, thus the domain is
and its range is 
To find th y-intercept you have to find y at x=0:

Hence, the y-intercept is (0,3).
B beacuse it’s 173 thanks very much
5x−12=−2+5(x−2)
multiply 5 by all in parentheses first
5x - 12= -2 + (5*x) + (5*-2)
5x - 12= -2 + 5x - 10
5x - 12= 5x - 12
if you subtract 5x from one side and add 12 to the other the solution is:
0= 0
This equation is one that is always true. No matter what number you put in for x, it will always be true.
Example:
5x - 12= 5x - 12
5(4) - 12= 5(4) - 12
20 - 12= 20 - 12
8= 8
Example:
5(-100) - 12= 5(-100) - 12
-500 - 12= -500 - 12
-512= -512
This will happen no matter what number x is.
ANSWER: D) All values of x make the equation true.
Hope this helps! :)
Answer:
13 + 
or
22.43398... (depends on how you round it)
Step-by-step explanation:
1. The question stated that the radius of the circle O is 5, so the length of AO and CO is 5.
2. Since line AB and line CB are both tangent to the circle, they have the same length. CB is 8, so AB will also be 8.
--> Both triangle AOB and COB share one side, and the other side (radius) has the same length, so the third side must be the same length
3. Tangent means having a 90-degree angle with the radius. We know that the triangle AOB is a right triangle since the angle OAB is 90 degrees.
We can use the Pythagorean theorem to find side OB. OB^2 = AO^2 + AB^2.
--> OB^2 = 25 + 64
--> OB^2 = 89
--> OB = 
Now that we know the lengths of all three sides, we can add them up.
--> 5 + 8 + 
--> 13 + 
or
--> 22.43398113....
Answer:
38 Students love math the most
Step-by-step explanation:
<u>Step 1: Find how much math is left</u>
Total: 90
Already said: 32 + 20 -> 52
Total - Already said = Math
90 - 52 = 38
Answer: 38 Students love math the most