Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (3, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 2x - 1 ← equation of line
Remark
Yesterday and today make it very dangerous to answer any math question. I'm going to see if I can answer this without the editor throwing up. The method is worked out now that I can see that the bug might have been fixed.
The final answer is y = -(x - 24)^2 + 144
The first thing to do is to complete the square.
y = -(x^2 - 48x ) - 432
y = -(x^2 - 48x + (48/2)^2 ) - 432 + 24^2
y = -(x - 24)^2 + 576 - 432
y = -(x - 24)^2 + 144
The vertex is (24,144)
Explanation
It means that when 24 games are sold, the profit is a maximum 144 dollars. You can convince yourself of that by trying a couple of numbers. Try x = 28. If you sell 28 games the following will happen.
y = -(28 - 24)^2 + 144
y = - 4^2 + 144
y = -16 + 144
y = 128 which is less that 144.
You could also try 20 which will give you the same answer 128
Problem B
What are the x intercepts?
y = -x^2 + 48x - 432
You do not need the quadratic equation for this. It factors.
y = -(x - 12)(x - 36)
when y = 0 then either
x - 12 = 0
x = 12
When x = 12 the profit is 0. He starts to make money at x = 13
or
x - 36 = 0
x = 36
also he his making nothing when x = 36 which seems odd because you would think that the more you sell the more you make, but the quadratic makes this a limiting consideration.
So x<12 loses money
x>36 looses money
12<x<36 is where he makes some money.
Answer:
(x, y) = (5, 3)
Step-by-step explanation:
We don't know what your matrix tool looks like. Here's a solution using a tool on the web. The correct ordered pair is ...
(x, y) = (5, 3)
_____
An augmented matrix for these equations is ...
![\left[\begin{array}{cc|c}7&2&41\\8&8&64\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D7%262%2641%5C%5C8%268%2664%5Cend%7Barray%7D%5Cright%5D)
Answer:
3p^3 + qp^2 - pq^2 + 3q^3
Step-by-step explanation:
(p²-pq + q²) ( 3p+ 3q)
3p^3 + 3qp^2 - 3qp^2 - 3pq^2 + 3pq^2 + 3q^3
3p^3 + qp^2 - pq^2 + 3q^3
Here, scale factor = 1 : 20
On scale, Tree's height = 6 3/4 = 27/4
Height of Actual Tree = 27/4 * 20 = 27 * 5 = 135
In short, Your Answer would be 135
Hope this helps!