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Xelga [282]
3 years ago
7

Write the equation of the line parallel to y=8x-1 that contains the point (-6,2)

Mathematics
1 answer:
Tasya [4]3 years ago
6 0
Equation: y = 8x - 1
Compare it with, y = mx + b
Slope, m = 8
Now, parallel line must have equal slope, = 8

We know, y - y1 = m(x - x1)
y - 2 = 8(x + 6)

Hope this helps!
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Suppose you are the manager of a firm. The accounting department has provided cost​ estimates, and the sales department sales​ e
Katarina [22]

Answer:

<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>

Step-by-step explanation:

Cost, Revenue, and Profit Function

The cost function C(x) is given by

C(x)=75x+3,350

where x is the number of produced products.

The revenue function is

R(x)=100x

With both equations, we can know the profit function as

P(x)=R(x)-C(x)

P(x)=100x-75x-3,350=25x-3,350

P(x)=25x-3,350

For the firm to have positive profits, it has to produce x articles with the condition

P(x)>0

Or, equivalently

P(x)=25x-3,350>0

Solving for x

\displaystyle x>\frac{3,350}{25}

Thus

x>134

This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production

6 0
3 years ago
Simplify the following: 6i^3 +4j^2 -6i<br> Please show work
Vadim26 [7]

Answer:

Concept: Vectors

  1. I think the confusion here might be the usage of i and j
  2. Just to let you know, i=x and j=y
  3. So let's use that fact to conceptualize this
  4. 6x^3+4y^2-6x
  5. We can simplify by applying a common factor
  6. 2(x^3+2y^2-3x)
  7. Thats the most we can simplify this
6 0
2 years ago
a laptop's screen is 8 inches long. if the diagonal measures 10 inches, what is the width of the laptop
Ray Of Light [21]
The width of the laptop is 6 inches long.
5 0
3 years ago
Hellppp meeeee PLEASEEEEE...
bonufazy [111]

Step-by-step explanation:

9.2 < 3x = 21.25

3x = 21.25 - 9.2

3x = 12.05

x = 18.2

3 0
3 years ago
Read 2 more answers
What is the numerical probability of selecting a jury with 10 men and 2 women?
VladimirAG [237]

Answer:

Let E denote the event of choosing a jury with 10 men and 2 women.

The sample space for selecting 12 members from the pool contains 55C12 elements.

The number of ways of selecting 10 men and 2 women is 26C10  29C2.

The probability of event E =  

The probability of selecting a jury with 10 men and 2 women is 0.005 (0.5%).

Step-by-step explanation:

see the image :

3 0
2 years ago
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