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tamaranim1 [39]
2 years ago
5

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ

ate is $600 and the daily rate for each partner is $1200. The law firm assigned a total of 10 lawyers to the case and was able to charge the client $7200 per day for these lawyers' services. Graphically solve a system of equations in order to determine the number of associates assigned to the case, x , x, and the number partners assigned to the case, y y.
Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
6 0
Add the numbers together and se what you get
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The line with equation −a+3b=0 coincides with the terminal side of an angle θ in standard position and sinθ<0 .
Anna11 [10]
If a is the variable of the horizontal axis, then you can solve for b to get the equation of the line in slope-intercept form in the a,b plane:

-a+3b=0\implies b=\dfrac a3

i.e. a line with slope \dfrac13 through the origin, which means it is contained in the first and third quadrants. Since the terminal side of \theta has a negative sine, the angle must lie in the third quadrant.

Because the slope of the line is \dfrac13, you can choose any length along the line to make up the hypotenuse of a right triangle with reference angle \theta. Any such right triangle will have \tan\theta=\dfrac13, regardless of whether the angle is the first or third quadrant. But since \theta is known to lie in the third quadrant, and so \sin\theta and \cos\theta are both negative, you have

\tan\theta=\dfrac{\sin\theta}{\cos\theta}=\dfrac13\implies \dfrac{\sin\theta}{\cos\theta}=\dfrac{-1}{-3}\implies \cos\theta=-3
6 0
4 years ago
Read 2 more answers
What is the relationship between the graphs of y = 2x and y = 2-x?
melomori [17]

Answer:

The relationship between the graphs is the intersection point at (0.667,1.333)

Step-by-step explanation:

we have

y=2x ----> equation A

The slope of the line A is equal to m=2

The line passes through the origin

y=2-x ----> equation B

The slope of the line B is m=-1

The x-intercept is the point (2,0)

The y-intercept is the point (0,2)

Line A and Line B are not parallel (the slopes are not equal)

Line A and Line B are not perpendicular (the product of their slopes is not equal to -1)

so

The relationship between Line A and Line B is the intersection point both graphs

using a graphing tool

The intersection point is (0.667,1.333)

see the attached figure

The intersection point is a common point , therefore belongs to both lines

8 0
3 years ago
Please can someone help me
erik [133]

36=2(x+6)

36=2x+12

-12=2x-12

24=2x

12=x

4 0
4 years ago
3x^2+42x+105=0 Find the solution<br><br>  <br>  <br> 0<br> 0
Nina [5.8K]

Step-by-step explanation:

I think we have to find the factors so

3x2 + 42x + 105

First we will multiply 105 by 3 = 315 then find factors of 315 which may add or subtract = 42

So 45 and 7

3x2 + 45x - 7x + 105

3x( x + 15) - 7(x - 15)

(3x - 7) and ( x - 15) are the factors

There is a problem please recheck the question

6 0
3 years ago
Write the expanded from of h(3k-12.4)
rewona [7]

Answer:

3kh - 12.4h

Step-by-step explanation:

h(3k-12.4)

= h(3k) - h(12.4)

= 3kh - 12.4h

7 0
2 years ago
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