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Karolina [17]
3 years ago
6

Let f(x) = 6x-5 and g(x) = 2x-1. Find f • g

Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0

Hi

(6x-5) (2x-1) =  12x²-6x-10x+5 =  12x²-16x +5

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A $16,000 robot depreciates linearly to zero in 10 years. (a) find a formula for its value as a function of time, t, in years.
SVETLANKA909090 [29]

We are given, cost of the robot for 0 number of year = $16,000.

0 represents initial time of the robot.

After 10 year cost of the robot is = $0

The problem is about the number of the years and cost of the robot over different number of years.

So, we could take x coordinate by number of hours and y coordinate for y number of hours.

So, from the problem, we could make two coordinates for the given situation.

(x1,y1) = (0, 16000) and (x2,y2) = (10, 0).

In order to find the function of time, we need to find the rate at which robot rate depreciates each year.

Slope is the rate of change.

So, we need to find the slope of the two coordinates we wrote above.

We know, slope formula

Slope (m) = \frac{y2-y1}{x2-x1}

Plugging values in formula, we get

m=\frac{0-16000}{10-0} = \frac{-16000}{-10} = -1600.

Brecasue of depreciation we got a negative number for slope or rate of change.

Therefore, rate of depreciation is $1600 per year.

We already given inital cost, that is $16,000.

So, we can setup an a function

f(x) = -1600x + 16000.

But the problem is asked to take the variable t for time.

Replacing x by t, we get

f(t) = -1600t + 16000.

8 0
3 years ago
Write each equation in slope-intercept form (3,4); and (-6,-2)
Alborosie

Answer:

y = 2/3x + 2

Step-by-step explanation:

Slope intercept form is y=mx+b where m is the slope and b is the y intercept.

Given 2 points you can find the slope using (y-y1)/(x-x1)

m = (-2-4)/(-6-3) = -6/-9 = 2/3

To find b use one of the points and m and plug into the slope intercept form and then solve for b.

y=mx+b

4=2/3(3) + b

4=2 + b

b=2

Now we can write the final equation as : (plug m and b back in)

y = 2/3x + 2

7 0
2 years ago
Read 2 more answers
How do I simplify this expression?
krok68 [10]
The answer is \sqrt{81} ^4
3 0
3 years ago
you are working to save money for a trip you need to save at least 1000 dollars if you already have 350 saved and you make $8 an
4vir4ik [10]
$1000 dollars is how much you need to pay for the trip.
You already have $350.
$1000 - $350 = $650.  So, you need to make $650 more.
$650 <span>÷ 8 = 81.25

So you final answer is:  81.25 hours.

Hope this helped you!  :D





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8 0
3 years ago
Need help on this please
VladimirAG [237]

 Awnser: 1/9

Hope ir helps! :D

1-1 = 0

12-6 = 6

0+1 = 1

6 +3 = 9

1/9!!!

5 0
3 years ago
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