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lisabon 2012 [21]
3 years ago
5

Calculate the average rate of change of the given function over the given interval. Where appropriate, specify the units of meas

urement. f(x)=x2−3f(x)=x 2−3; [1, 3].
Mathematics
1 answer:
Nastasia [14]3 years ago
3 0

Answer:

4

Step-by-step explanation:

Average Rate of Change Formula: \frac{f(b) - f(a)}{b - a}

Simply plug in our interval:

[(3² - 3) - (1² - 3)]/(3 - 1)

[9 - 3 - 1 + 3]/2

8/2

4

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Alex73 [517]

Answer:

1) $350

2) 55°

3) $300

Step-by-step explanation:

1) The total cost is the cost of the appointment plus the cost of the repair work.  The appointment costs $50.  The repair work costs $120 per 2 hours.  So the total cost is:

C = 50 + (120/2) t

C = 50 + 60t

For 5 hours of work, the cost is:

C = 50 + 60(5)

C = 350

It costs $350.

2) The temperature starts at 70°.  It drops 10° in 4 hours.  So the temperature after t hours is:

T = 70 + (-10/4) t

T = 70 − 2.5t

After 6 hours:

T = 70 − 2.5(6)

T = 55

The temperature is 55°.

3) Jennie's total pay is her weekly pay plus her commissions.  If her commission is x% of her sales, then her pay is:

P = 250 + (x/100) S

When her sales is $1000, her pay is $275.

275 = 250 + (x/100) 1000

275 = 250 + 10x

25 = 10x

x = 2.5

So her pay is:

P = 250 + (2.5/100) S

When S = $2000:

P = 250 + (2.5/100) 2000

P = 250 + 50

P = 300

Her total pay is $300.

8 0
3 years ago
If m = 3 and b = 6, what is the correct equation of the line in slope intercept equation?
aksik [14]

Answer:

the equation would be y = 3x +6

4 0
3 years ago
Read 2 more answers
Solve for p -6p+7=3(2p-3)-4(-10+4p
ozzi

p-6p+7=3(2p-3)-4(-10+4p

We move all terms to the left:

p-6p+7-(3(2p-3)-4(-10+4p)=0

We add all the numbers together, and all the variables

p-6p-(3(2p-3)-4(4p-10)+7=0

We add all the numbers together, and all the variables

-5p-(3(2p-3)-4(4p-10)+7=0


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3 years ago
The Latin Club charted a bus to travel to and participate in a state competition. The cost for each adult to ride the bus was $2
Bumek [7]
<span>a+s =17 25a + 15s = 305</span>
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3 years ago
Find the volume of the cone ! HELP
stich3 [128]

Answer:

628

Step-by-step explanation:

So the formula is πr^2h/3

So the height is 6

pie is 3.14

Substitute:

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3.14(200)

628

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