You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.
Also, you made a little (but important) typo.
The right equation for the annual income is: I = - 425x^2 + 45500 - 650000
1) Determine <span>the youngest age for which the average income of
a lawyer is $450,000
=> I = 450,000 = - 425x^2 + 45,500x - 650,000
=> 425x^2 - 45,000x + 650,000 + 450,000 = 0
=> 425x^2 - 45,000x + 1,100,000 = 0
You can use the quatratic equation to solve that equation:
x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)
x = 38.29 and x = 67.59
So, the youngest age is 38.29 years
2) Other question is what is the maximum average annual income a layer</span> can earn.
That means you have to find the maximum for the function - 425x^2 + 45500x - 650000
As you are in college you can use derivatives to find maxima or minima.
+> - 425*2 x + 45500 = 0
=> x = 45500 / 900 = 50.55
=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
Remark
Please number your pairs of equations going from left to right. The pair on the extreme left is (1) and the pair on the extreme right is (5).
(1)
If you multiply to top member of the pair by 2, you will get the bottom equation of the pair. What that tells you is that there are many (infinite) numbers of solutions.
(y = 3x + 4) * 2 remove the brackets.
2y = 6x + 8 Exactly the same equation as the bottom one = infinite solutions.
(2)
If the slopes are the same (both are -1) and the y intercepts are different (0,-2) and (0,-6) then the lines are parallel (they never meet) and have no solutions.
(3)
If the slopes are different, there is one solution. (9 and 1) There is one solution.
(4)
Four gives 1 solution as well at 0,0. That is because the slopes are different.
(5)
trick question. the slopes are quite different. one is 0 and the other is undefined. They meet at one point.(-6,-3). I solution.
If the numbers were 50 divided by 12 this is how you would answer it. And I showed the reduced answer too.
Use Picture Math, i cant type in the other cause brainly doesn't accept it but it is Ga_thMath. (u)
Answer:
The slope of parallel line m = -7 is an integer
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the parallel line
-7x-y = 2
we know that the slope of the two parallel lines are equal
m₁ = m₂
The given parallel line equation
- 7 x - y = 2
The slope-intercept form
y = - 7x -2
comparing
y = mx +C
slope of parallel line m = -7 is an integer
y- Intercept c = -2