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uranmaximum [27]
3 years ago
12

What is the average rate of change of the line whose equation is:

Mathematics
1 answer:
dedylja [7]3 years ago
3 0

Answer:

Rate of change = -12

Step-by-step explanation:

y − 3 = −12(x + 4)

Expanding, we have;

y - 3 = -12x - 48

y = -12x - 48 + 3

y = -12x - 45

Now, formula for rate of change is;

Rate of change = (y(x + h) - y)/h

y(x + h) is; y = -12(x + h) - 45

This gives;

Rate of change = (-12(x + h) - 45 + 12x + 45)/h

Rate of change = (-12x - 12h - 45 + 12x + 45)/h

Rate of change = -12h/h

Rate of change = -12

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erik [133]

Answer:

25 girls

Step-by-step explanation:

Let

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and

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So,

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For solving, We will use the substitution method

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x = 45-y

Putting value of x in eqn 2

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6 0
3 years ago
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 4 inches, and the larger gear has a ra
pychu [463]
Draw a diagram to illustrate the problem as shown below.

When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.

Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°

Answer: 205.7° (nearest tenth)

Part 2
When the larger gear makes one rotation, it sweeps an arc length of 
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If the central angle for the smaller gear is y radians, then
4y = 14π
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Answer:
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7 0
3 years ago
Find in slope standard form 3х – 5y = 10
dexar [7]

Answer:-5y=-3x+10

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Step-by-step explanation:

8 0
2 years ago
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As part of a drug trial, a survey was done to gather information about the participants' experiences with side effects. Here are
Paraphin [41]

The Venn diagram which represents the distribution of the participant in the drug trial is attached below. The Number of participants in the drug trial that has anxiety is 370

We can find the number of participants who has dizziness(D). Fatigue(F) and anxiety(A) can be calculated thus :

n(D) = n(D only) + (DnF only) + (DnA only) + (DnAnF)

271 = 36 + 86 + 23 + x

271 = 145 + x

x = 271 - 145

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<u>Number who has </u><u>atleast one of the three</u><u> side effects can be expressed thus</u> :

n(A only) + n(F only) + n(D only) + (DnF only) + (DnA only) + (DnAnF) + n(FnA only) = 585

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<u>Number of participants</u><u> who has </u><u>anxiety</u><u> can be calculated thus</u> :

n(DnAnF) + (DnA only) + n(FnA only) + n(A only)

126 + 23 + 159 + 62 = 370 participants

Therefore, 370 of the total participants has Anxiety.

Learn more : brainly.com/question/12570490

8 0
2 years ago
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