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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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easch cube inside the rectangle prism has a edge length of 3/4 inch what is the volume of the rectangle prism
vfiekz [6]

Volume = (edge)^3

Volume = (3/4)^3

Volume = (27/64) inches^3

Done.

5 0
3 years ago
Which method do you prefer to use to find sums- count by tens and ones, use compatible numbers, or use friendly numbers and adju
elena-s [515]
Count by tens and ones.
5 0
3 years ago
The cost (in dollars) in making b bracelets is represented by 4+5b. The cost (in dollars) of making b necklaces is represented b
ddd [48]
Answer:

P(b)=3b+2

Step-by-step explanation:

The cost (in dollars) in making b bracelets is represented is

B(b)=4+5b

The cost (in dollars) of making b necklaces is

N(b)=8b+6

To find how much more it will cost to make b necklaces than b bracelets, we find the difference,

P(b)=N(b)-B(b)

P(b)=8b+6-(4+5b)

P(b)=8b+6-4-5b

P(b)=3b+2

This is a polynomial in descending powers of b, hence it is in standard form;
8 0
4 years ago
What is the solution to the system of equations below? -4x+6y=-18 and y=-2x+21
Verdich [7]

Answer:

x=9 and y=3

Step-by-step explanation:

Let's solve your system by substitution.

−4x+6y=−18 and y=−2x+21

Rewrite equations:

y=−2x+21;−4x+6y=−18

Step: Solve  y=−2x+21for y:

y=−2x+21

Step: Substitute−2x+21foryin−4x+6y=−18:

−4x+6y=−18

−4x+6(−2x+21)=−18

−16x+126=−18(Simplify both sides of the equation)

−16x+126+−126=−18+−126(Add -126 to both sides)

−16x=−144

−16x

−16

=

−144

−16

(Divide both sides by -16)

x=9

Step: Substitute9forxiny=−2x+21:

y=−2x+21

y=(−2)(9)+21

y=3(Simplify both sides of the equation)

Answer:

x=9 and y=3

3 0
3 years ago
Help me please, its really easy.
notka56 [123]

Hey there. To find the answer solve 8^3=512.

Count the rows and columns of each to get C as your answer.

3 0
3 years ago
Read 2 more answers
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