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lys-0071 [83]
2 years ago
11

Given the function f(x) = 5x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Mathematics
1 answer:
Debora [2.8K]2 years ago
3 0
f(x)=5x\\\frac{f(1)-f(0)}{1-0}\\\frac{5-0}{1}\\5\\\\\frac{f(3)-f(2)}{3-2}\\\frac{15-10}{1}\\5

A: 5; 5

B: 1; they are the same
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What is the equation of the line in slope-intercept form?
belka [17]

Answer:

y = 3/5 x+3

Step-by-step explanation:

two points on the graph

(-5,0) (0,3)

the y intercept is 3  (this is where it crosses the y axis)

the slope is

change in y     0 to 3            up 3

------------------  = -------------- =  -------        =   3/5

change in x      -5 to 0             right 5


we can tell the slope is positive because it goes from bottom left to top right

a negative slope goes from top left to bottom right

slope intercept form is

y=mx+b

y = 3/5 x+3


3 0
3 years ago
Read 2 more answers
A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour
natali 33 [55]
We need to calculate a total TIME.  
Let the time required to cover distance d at 20 mph be x.  d is the ONE WAY distance, not the total distance traveled (which would be 2d).

Remember the formula d=rt:  the distance traveled equals the rate times the time.  Here, d = rx, and thus x = d/r  = d/(20mph)

Let's begin by recognizing  that       d(going) = d(returning)
Then                                            (20 mph)x   = 6 + (16 mph)x

                                                      (20 mph)x - (16 mph)x = 6 miles
Then:                                                    (4 mph)x = 6 miles
or:                                                             x = 1.5 hours

It takes the bird 1.5 hours at 20 mph to cover distance d, which is 30 miles.
Thus, the total time spent flying is 1.5 hours (going) and [1.5 hours + (6 miles)/(16 mph) returning:

                            1.5 hours + 1.5 hours + 0.375 hours = 3.375 hours total.

The total distance covered is 2d, or 2(30 miles) = 60 miles.

It took me a while and a lot of experimentation to arrive at these results.  Please, if my arguments here are not clear, ask questions.
5 0
3 years ago
A taxi service has a new fee schedule that charges $1 for the first quarter mile and 50 cents for each additional quarter mile.
vivado [14]
The answer is .50*$1 = 1.50
5 0
2 years ago
Twenty percent of the employees in a company have managerial positions, and 25 percent of the employees in the company have MBA
Sergeu [11.5K]

Answer:

12%

Step-by-step explanation:

We have to find percentage of employee both manager and has MBA degree.

Percentage of employee both manager and has MBA degree=P(MBA and manager)*100

We are given that

P(MBA)=0.25

P(Manager)=0.20

P(MBA/ manager)=0.60

P(MBA and manager)=?

P(MBA/ manager)=P(MBA and manager)/P(Manager)

P(MBA/ manager)*P(Manager)=P(MBA and manager)

P(MBA and manager)=0.6*0.2

P(MBA and manager)=0.12

Percentage of employee both manager and has MBA degree=0.12*100

Percentage of employee both manager and has MBA degree=12%.

Thus, the percentage of the employees is both manager and has MBA degree is 12%

4 0
2 years ago
Read 2 more answers
1 cm<br> 2 cm<br> 2 cm<br> 1 cm<br> 4 cm<br> 3 cm<br> Find the surface area of the above solid.
max2010maxim [7]

Answer:

58

Step-by-step explanation:

That is the surface area hope tht helps

8 0
2 years ago
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