We can use the substitution method to solve this problem.
The second equation is

, so we can plug in 2x for 'y' in the first equation:


Multiply:

Combine like terms:

This is the x-value of our solution, we can plug this into any of the two equations to find the y-value:


Multiply:

This is the y-value of our solution. So our entire solution is (3, 6).
Yes , I agree w them I’m gonna go with the answer D.
Answer: x = 995
Step-by-step explanation:
In this equation our log doesn't have a base so it is given the default base of 10. This makes our equation really.

Now we put every equation as the exponent of our base 10 looks like this:

Now we cancel out the log base 10 and the 10. We are left with:
(x+3) + (2) = 10^3
Lastly solve for x
x + 5 = 1000
x = 995
Ok so for this question, you have to draw a graph to help. I'm doing the numbers by 2. You plot the points (21,32) on the graph then after that plot the points by the slope. What I'm trying to say by that is: 1.5 as a fraction is 3/2. so you count from that point by going 3 numbers up (or squares if on a graph if it makes more sense) then count 2 squares to the right and you continue doing that after every point you make (if there's no space to go up the graph the n you can go down by just counting 3 down then counting 2 to the LEFT)
I don't have graph paper on me so I can't really tell you the y-intercept because it might be not accurate (thats the number after the slope or "b" in the formula y=mx+b) How to find that is: when you follow the steps above you're going to hit the y-axis (vetical line) when you have an exact point hitting the y-axis (it should be right on that line ) then that's your number
Equation: y=1.5x+ (insert y-axis number here)
The coordiantes of another point is on the line (u can pick any)
Answer:
At price 3 and 11, the profit will be $0
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
<em>
A certain companies main source of income is a mobile app. The companies annual profit (in millions of dollars) as a function of the app’s price (in dollars) is modeled by P(x)=-2(x-3)(x-11) which app prices will result in $0 annual profit?</em>
My answer:
Given:
- x is the app price
- P(x) is the profit earned
If we want to find out the app price that will result in $0 annual profit? It means we need to set the function:
P(x)=-2(x-3)(x-11) = 0
<=> (x-3)(x-11)= 0
<=> x - 3 = 0 or x - 11=0
<=> x = 3 or x = 11
So at price 3 and 11, the profit will be $0
Hope it will find you well.