Answer:
The standard form as 
Step-by-step explanation:
Given: A function which is written in vertex form or intercept form.
We have to re-write it in standard form that in terms of
Given 
Squaring using 
, we get,
Multiply 5 inside , we get,
Solving further , we get,
Thus , we have obtained the standard form as
Answer:
Proved below
Step-by-step explanation:
If we assume that n + 1 even when n is even, it means that;
n + 1 = 2x
Where x is an integer
Then;
n = 2x - 1
This means that n is odd because 2x - 1 is odd.
But we know that n is even, thus, our assumption is wrong.
Therefore, n + 1 is odd when n is even.
Answer:
4485
Step-by-step explanation:
60 x 65 is equivalent to 3900, but since he got a raise, it would add 15% more to 3900, which is 4485 chocolates this week
60
x 65
_____
0
3900
Answer:
Slope intercept: y = -3/2x + 1
Point slope: y + 2 = -3/2 * (x - 2) [Forgot to add the work for this, I will add it if you need it, feel free to ask.]
Step-by-step explanation:
m = (change in y)/change in x)
But also
m = y_2 - y_1/x_2 - x_1
So lets substitute
m = 1 - (-2)/0 - (2)
Lets find the slope
m = 3/0 - (2)
m = 3/-2
m = -3/2 (Moved the negative)
Now we find the value of b using the equation of a line.
y = mx + b
y = (-3/2) * x + b
y = (-3/2) * (2) + b
-2 = (-3/2) * (2) + b
Now we find the value of b
Lets rewrite
-3/2 * 2 + b = -2
Cancel the CF of 2
-3 + b = -2
Move the terms without b to the right
b = -2 + 3
b = 1
Now we substitute our values of the slope and y-int into y = mx + b to find the equation.
y = -3/2x + 1
