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bonufazy [111]
3 years ago
13

The equations of two functions are y=-21x+9 and y=24x+8 which function is changing more quickly? Explain

Mathematics
1 answer:
antoniya [11.8K]3 years ago
3 0

Given:

The equations are

y=-21x+9

y=24x+8

To find:

Which function is changing more quickly.

Solution:

The slope intercept form of a line is

y=mx+b

Where m is slope and b is y-intercept.

On comparing y=-21x+9 with the slope intercept form, we get

m_1=-21

|m_1|=|-21|

|m_1|=21

On comparing y=24x+8 with the slope intercept form, we get

m_2=24

|m_2|=24

Since, |m_1|, it means the absolute rate of change of second function is greater than the first function.

Therefore, the second function is changing more quickly.

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Answer: The equation that has a graph which is a parabola with a vertex at (5, 3) would be y = (x – 5)^2 + 3. The general form of a parabola which the vertex is not in the origin is expressed as y = a(x - h)^2 + k where (h,k) represents the vertex.

8 0
3 years ago
Find a particular solution to<br> y′′+6y′+5y=18te^(2t).
Andreas93 [3]

Answer:

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Step-by-step explanation:

1. google it

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3 years ago
What is 23.826 correct to two decimal places
inessss [21]

Answer:

23.83

Step-by-step explanation:

If the number next to it is above 5 then you round it up.

So the 2 becomes a 3 because the 6 to the right of it is above 5.

Hope this helps

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4 0
3 years ago
When three times the sum of a number and seven is increased by ten, the result is four. What is the number ?
densk [106]

Answer:

x=9   :))

Step-by-step explanation:

First set up your equation.

"3 times" is multiplication

"THE SUM of A NUMBER and seven" that is parenthesis because of the multiplication before it

"is increased by ten" that is an addition at the end

Now we have 3(x+7)+10=4

Solve your equation!

Distribute the 3 now we have 3x+21+10=4

Add like terms

now it should look like this... 3x+31=4

Subtract 31 from both sides and it looks like...

3x=27

Divide by the x-value

x=9

4 0
3 years ago
Figure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below:
LenKa [72]

Answer:

  (a)  Reflection across the y-axis, followed by translation 10 units down

Step-by-step explanation:

Figure 2 is not a reflection across the origin of Figure 1, so neither of the double reflections will map one to the other.

Reflection across the y-axis will put the bottom point at (5, 3). The bottom point on Figure 2 is at (5, -7), so has been translated down by 3-(-7) = 10 units.

Figure 1 is mapped to Figure 2 by reflection over the y-axis and translation down 10 units.

7 0
2 years ago
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