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vaieri [72.5K]
3 years ago
12

Given the function g(x) = x^2 + 5x + 14, determine the average rate of change

Mathematics
1 answer:
Bezzdna [24]3 years ago
5 0

Answer:

13

Step-by-step explanation:

The average rate of change is

f(7) - f(1)

---------------

7-1

f(7) = 7^2 + 5*7 +14 = 49 +35 +14=98

f(1) = 1^2 +5(1)+14 = 1+5+14=20

98-20

--------

7-1

78/6

13

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Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?
Marysya12 [62]

Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

y = mx+b

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

y = mx+b

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

7 0
3 years ago
5. What are the zeros of the graph below?<br> A -2 and 0<br> B-1 and 0<br> C 0 and 2
Fed [463]

Answer:

A. -2 and 0

Step-by-step explanation:

The curve hits both mark -2 and 0

4 0
3 years ago
2. John earns a 3% commission for every car he sells. Today he sold a car for $13,600. How much commission did he receive? (To f
OlgaM077 [116]

Answer:

$408

Step-by-step explanation:

Find 3% of $13,600:

3 * 13,600 / 100 = $408

7 0
3 years ago
The Powerball lottery is open to participants across several states. When entering the powerball lottery, a participant selects
mr Goodwill [35]

Answer and Step-by-step explanation:

Number of ways = 59C5 × 35= 59!/(54!*5!)* 35= 175223510

Odds are thus 1 in 175223510

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Odds are thus 1 in 5153632

6 0
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I am Lyosha [343]

Answer:

B. 3.27 x 10^11.

Step-by-step explanation:

There are 11 digits after the first one, so it is

3.27 x 10^11.

5 0
3 years ago
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