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3 years ago

I need help, fast! I'll give brainliest whoever answers

Mathematics

1 answer:

MrMuchimi3 years ago

5 0

Answer:

k = -2j+24

Step-by-step explanation:

We have 2 points on the trend line

(4,16) and (6,12)

We can find the slope

m = (y2-y1)/(x2-x1)

= (12-16)/(6-4)

= -4/2

= -2

The slope is -2

The y intercept is 24 (where it crosses the y axis)

Writing the equation in the form y= mx+b

k = -2j+24

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The graph below represents an employee's earnings based on units sold. What can be interpreted from the slope of this graph?

Vesna [10]

Answer:

Step-by-step explanation:

From inspection of the graph, we can see that every time the x-value increases by 10, the y-value increases by 1000.

So, the employee earns an additional $1000 for every 10 units sold.

To calculate how much the employee earns for every 1 unit sold, divide $1000 by 10:

1000 ÷ 10 = 100

Therefore, the employee earns an additional $100 for every one unit sold.

Proof

This can be proved by calculating the slope (gradient) of the graph:

$\sf slope=\dfrac{y_2-y_1}{x_2-x_1}$

where $\sf (x_1,y_1)$ and $\sf (x_2,y_2)$ are two points on the line

When picking the two points, remember that the y-values are in thousands of dollars.

Two points on the line:

(0, 30000) and (20, 32000)

Substituting these into the formula:

$\sf \implies slope=\dfrac{32000-30000}{20-0}=\dfrac{2000}{20}=100$

Therefore, the employee earns an additional $100 for every one unit sold.

7 0

2 years ago

What are the solutions to the quadratic equation (5y + 6)2 = 24?b

Fofino [41]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

When traveling with the current, it takes Kamal 1 hour to travel 12 miles on a boat. It takes the boat 1.5 hours to travel the s

Sergeu [11.5K]

Answer:

the rate / speed of the boat is 10 miles per hour.

the rate / speed of the current is 2 miles per hour.

Step-by-step explanation:

r = rate of boat (speed of boat)

t = time

d = distance.

c = rate of current (speed of current)

with the current, the formula becomes (r + c) * t = d

against the current, the formula becomes (r - c) * t = d

going with the current, the boat takes 1 hour to travel 12 miles.

therefore:

(r + c) * t = d becomes (r + c) * 1 = 12

going against the current, the boat takes 1.5 hour to travel the same 12 miles.

therefore:

(r - c) * t = d becomes (r - c) * 1.5 = 12.

your two equations that need to be solved simultancously are:

(r + c) * 1 = 12

(r - c) * 1.5 = 12

divide both sides of the second equation by 1.5 and leave the first equaion as is to get:

r + c = 12

r - c = 8

add the equations together to get:

2 * r = 20

solve for r to get:

r = 20 / 2 = 10

(r + c) * 1 = 12 becomes (10 + c) * 1 = 12

simplify to get 10 + c = 12

solve for c to get c = 12 - 10 = 2

(r - c) * 1 = 8 becomes (10 - c) * 1 = 8

simplify to get 10 - c = 8

solve for c to get c = 10 - 8 = 2

you have:

r = 10

c = 2

that's your solution.

the rate / speed of the boat is 10 miles per hour.

the rate / speed of the current is 2 miles per hour.

6 0

3 years ago

How is area found in a shape

dimaraw [331]

For what shape? It depends on the shape

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3 years ago

You have an ice cream cone that is 6 inches tall with a radius of 2 inches. The cone is completely filled with ice cream. There

Alborosie

Answer:

V=πr2h

3=π·22·6

3=25.13274

V=25.13

Step-by-step explanation:

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3 years ago