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JulsSmile [24]
2 years ago
6

How do the constant of proportionality and slope relate to the unit rate

Mathematics
1 answer:
Pepsi [2]2 years ago
7 0

Answer:

When a relationship is proportional, all y over x ratios simplify to the slope of the line which is the constant of proportionality or the unit rate, with one as a denominator. Example: Consider the equation y = 60x. The slope is 60. The rate of change is 60 units for every one unit.

Step-by-step explanation:

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Solve the system of linear equations using matrices.<br> x+6y=7<br> x + 5y=4
Rzqust [24]

Answer:

1+6y= "7y=7"

1+5y= "6y=4"

Step-by-step explanation:

X represents "1" so you replace your "X" with "1" and solve the equation.

3 0
3 years ago
It's the 11th day of autumn and the first leaf has fallen! If the number of leaves on the ground is tripling with each passing d
AlekseyPX

Answer: 1,594,323

Step-by-step explanation:

No of leaves which falls daily on the first day = 1

No of days leaves falls = 14 days.

Solution:

No of leaves of day 1

= 1.

No of leaves on day 2

= 1*3

= 3

No of leaves of day 3

= 3*3

= 9

No of leaves of day 4

= 9*3

= 27

No of leaves on day 5

= 27*3

= 81

No of leaves on day 6.

= 81*3

= 243.

No of leaves of day 7

= 243*3

= 729

No of leaves on day 8

= 729 * 3

= 2187

No of leaves on day 9

= 2187 *3

= 6561

No of leaves on day 10

= 6561 * 3

= 19683

No of leaves on day 11

= 19683 * 3

= 59049

No of leaves on day 12

= 59049 *3

= 177147

No of leaves on day 13

= 531441

No of leaves on day 14

= 531441 * 3

= 1,594,323.

The number of leaves that would be on the ground on the 24th day of autumn would be 1,594,323

8 0
2 years ago
What is the volume of the cylinder below?
yulyashka [42]

Answer:

A

Step-by-step explanation:

v=πr2h

r=(3)²* 5

45π unit³

4 0
2 years ago
What is the greatest common factor of the terms in the polynomial 4x^4-32x^3-60x^2?
jonny [76]

Answer:

\mathrm{Factor}\:4x^4-32x^3-60x^2:\quad 4x^2\left(x^2-8x-15\right)\\

\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\x^4=x^2x^2\\=4x^2x^2-32xx^2-60x^2\\\mathrm{Rewrite\:}60\mathrm{\:as\:}4\cdot \:15\\\mathrm{Rewrite\:}32\mathrm{\:as\:}4\cdot \:8\\=4x^2x^2-4\cdot \:8xx^2-4\cdot \:15x^2\\\mathrm{Factor\:out\:common\:term\:}4x^2\\=4x^2\left(x^2-8x-15\right)

<em>Hope this helps and have a great day!!!</em>

<em>Sofia</em>

4 0
2 years ago
If you have never seen 2 pretty best-friends, how many best-friends are ugly?
Natalka [10]

Answer:

1

Step-by-step explanation:

one gotta be ugly

6 0
2 years ago
Read 2 more answers
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