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timurjin [86]
2 years ago
7

The pattern 7, 8, 10, ________, ________ follows the rule multiply by 2, then subtract 6. What are the next two terms?

Mathematics
2 answers:
Alexeev081 [22]2 years ago
7 0
14, 22


10 x 2 = 20 - 6 = 14

14 x 2 = 28 - 6 = 22
Y_Kistochka [10]2 years ago
4 0

Answer:

14 22

Step-by-step explanation:

i think it is

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Derivatives concept:<br> Exercise "position and instantaneous velocity"<br><br> (Full development)
densk [106]

(A) The blue line has a slope of 5/2, red has slope 4/4 = 1, and purple has slope 3/9 = 1/3.

To find the slope, take any two points <em>(a, b)</em> and <em>(c, d)</em> on the line, then

slope = (<em>d</em> - <em>b</em>)/(<em>c</em> - <em>a</em>)

i.e. the ratio between the changes in the <em>y</em> and <em>x</em> coordinates.

(B) Each line has equation

• blue: <em>y</em> = 5/2 <em>x</em>

• red: <em>y</em> = <em>x</em>

• purple: <em>y</em> = 1/3 <em>x</em>

This follows from the general equation for a line with slope <em>m</em> and <em>y</em>-intercept <em>b</em>,

<em>y</em> = <em>mx</em> + <em>b</em>

or from the <em>more</em> general equation for a line with slope <em>m</em> passing through a point <em>(a, b)</em>,

<em>y</em> - <em>b</em> = <em>m</em> (<em>x</em> - <em>a</em>)

(C) Consider the blue line. If you take units into account, its slope is

(5 units of distance)/(2 units of time) = 5/2 (units of distance/time)

which means, per unit time, some object travels a 5/2 units of distance, and this is the definition of speed.

(D) The competitor with the blue line, Mary, would win the race because their speed is the highest (5/2 > 1 > 1/3).

(E) Average velocity is defined as

<em>v</em> (ave) = ∆<em>d</em>/∆<em>t</em> = (change in distance)/(change in time)

At time 0, no one has moved yet. At time 4,

• Mary has covered a distance of 5/2 × 4 = 10, giving her an average velocity of (10 - 0)/(4 - 0) = 5/2

• Mike has covered a distance of 4, so his average velocity is (4 - 0)/(4 - 0) = 1

• Sam has covered a distance of 1/3 × 4 = 4/3, so his average velocity is (4/3 - 0)/(4 - 0) = 1/3

It's not a coincidence that the average velocities are the same as the slopes, because each racer travels at a constant speed.

(F) The racers' instantaneous velocities are the same as their respective average velocities, again because they are each moving at a constant speed.

7 0
3 years ago
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