Answer:
Step-by-step explanation:
The standard form of a quadratic is 
We will use the x and y values from each of our 3 points to find a, b, and c. Filling in the x and y values from each point:
First point (-5, 0):
and
0 = 25a - 5b + c
Second point (9, 0):
and
0 = 81a + 9b + c
Third point (8, -39):
and
-39 = 64a + 8b + c
Use the elimination method of solving systems on the first 2 equations to eliminate the c. Multiply the first equation by -1 to get:
-25a + 5b - c = 0
81a + 9b + c = 0
When the c's cancel out you're left with
56a + 14b = 0
Now use the second and third equations and elimination to get rid of the c's. Multiply the second equation by -1 to get:
-81a - 9b - c = 0
64a + 8b + c = -39
When the c's cancel out you're left with
-17a - 1b = -39
Between those 2 bolded equations, eliminate the b's. Do this by multiplying the second of the 2 by 14 to get:
56a + 14b = 0
-238a - 14b = -546
When the b's cancel out you're left with
-182a = -546 and
a = 3
Use this value of a to back substitute to find b:
56a + 14b = 0 so 56(3) + 14b = 0 gives you
168 + 14b = 0 and 14b = -168 so
b = -12
Now back sub in a and b to find c:
0 = 25a - 5b + c gives you
0 = 75+ 60 + c so
0 = 135 + c and
c = -135
Put that all together into the standard form equation to get
Answer:
9
Step-by-step explanation:
PEMDAS IS
parentheses
Exponents
Multiply and divide
Addition and subtraction
First you start with the parentheses so
1 + 2 = 3
Now you have 6/2 x 3
Multiply and divide means you either divide or multiply what ever comes first going left to right
So
6/2 = 3
3 x 3 = 9
If it was reversed we’d have
2 x 3/6 which would be
6/6 = 1
Choices A and B have typos in them, so its not clear what you're trying to say for those parts. However, the domain of 
is 
meaning that x can be 0 or larger. In other words, we can't have x be negative. Similarly, y is the same story because has the inverse 
, but only when , so therefore 
as well. In short you can say both x and y are nonnegative.
To summarize so far, the domain is and the range is
Since x = 0 and y = 0 are the smallest x and y values possible, this means (x,y) = (0,0) is the left-most point or where the graph starts. This is the origin. Choice C is a true statement.
Choice D on the other hand is <u>not</u> a true statement. Graph out and you'll see that a straight line does not form, but instead a nonlinear curve that grows forever. That growth gradually diminishes as x gets larger. Algebraically you can pick three points from the function and show that the slopes are different. Say the three points are P, Q and R. If you can show that slope of PQ does not equal slope of QR, then the function is not linear.
6 x 2 minus 20 because 6 x 2 is in parenthesis so it comes first
9.75-3.50=2.50x
6.25=2.50x
6.25÷2.5=2.50x÷2.5
2.5=x
