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3 years ago

Write the equation for the red part of the piecewise function. Ex: f(x) = mx+b

Mathematics

1 answer:

Akimi4 [234]3 years ago

3 0

The easiest way is to compare two different whole-number points. So, the first one is (0,2) and the other is (3,3), meaning that it's 3 right, 1 up. This means that the slope is ⅓. (⅓x)
Next is the point that intercepts the y-axis. In this case, at x=0 y=2. (+2)

So, the equation for the red part is ⅓x+2

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The equation for the cost in dollars of producing automobile tires is c = 0.000015x2 - 0.03x + 35, where x is the number of tire

statuscvo [17]

The cost function is
c = 0.000015x² - 0.03x + 35
where x = number of tires.

To find the value of x that minimizes cost, the derivative of c with respect to x should be zero. Therefore
0.000015*2x - 0.03 = 0
0.00003x = 0.03
x = 1000

Note:
The second derivative of c with respect to x is positive (= 0.00003), so the value for x will yield the minimum value.

The minimum cost is
Cmin = 0.000015*1000² - 0.03*1000 + 35
= 20

Answer:
Number of tires = 1000
Minimum cost = 20

3 0

3 years ago

Writes 25 x 10 to the power of 6

Serggg [28]

$(25*10)^6$

Sure hope this helps you

And please mark me brianiest if this is correct

3 0

2 years ago

two mechanics worked on a car. the first mechanic charged $45 per hour, and the second mechanic charged $120 per hour. the mecha

BlackZzzverrR [31]

Answer:

First mechanic worked for 20 hours and second mechanic worked for 15 hours.

Solution:

Given, Two mechanics worked on a car.

The first mechanic charged $45 per hour, and the second mechanic charged $120 per hour.

The mechanics worked for a combined total of 35 hours, and together they charged a total of $2700.

We have to find how long did each mechanic work.

Let the time worked by 1st mechanic be t hours then time taken by 2nd mechanic will be 35 – t hours.

Now, according to given information,

45 x t + 120 $\times$ (35 – t) = 2700

45t + 120 $\times$ 35 – 120t = 2700

-75t + 4200 = 2700

75t = 4200 – 2700

75t = 1500

t = 20

hence, 1st mechanic worked for 20 hours and 2nd mechanic worked for 35 – 20 = 15 hours.

4 0

4 years ago

The New York Rangers hockey team won 3/4 Of their games last season. If they lost 21 games, how many games did they play in the

bija089 [108]

We know that the won 3/4. So that means that the remaining 1/4 is the games lost, which is 21.
To find the total games played, we simply multiply 21 by 4 to get 4/4, or the total games.
$21 \times 4 = 84$

3 0

3 years ago

Can you pls solve 2 9 17 20 25

Ganezh [65]

17 . Find the values of g(9) and h(-14) and add them together.

The function equations are given to find their values substitute 9 in g(x) and -14 in h(x)

20. They said f(x) = 2x + 9 and f(x) = 15 , which means they are equal to each other.

So write them as 2x + 9 = 15 , and solve the equation to find the value of x.

25. Here all you have to do is substitute 4 into the f(x) equation to find f(4)and you will have your answer.

Hope this helped!

5 0

3 years ago