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4 years ago

13

How can you get the constant of proportonality

1 answer:

kolbaska11 [484]4 years ago

6 0

The constant of proportionality (k) equals the total price (y) divided by the number of cans (x).

Step-by-step explanation:

You might be interested in

Order the ratios from least to greatest 6:3 13 to 4 19/2 15 to 10 8:2

Alik [6]

6:3 = 6/3 = 2

13 to 4 = 13:4 = 13/4 = 3.25

19/2 = 9.5

15 to 10 = 15:10 = 15/10 = 1.5

8:2 = 8/2 = 4

From the least to the greatest:

15 to 10 , 6:3, 13 to 4, 19/2

I hope this explains it.

8 0

3 years ago

Find all solutions to x³+3x² − 9x − 27 = 0 by factoring the equation.

SCORPION-xisa [38]

Answer:

The solutions are $x=-3,\:x=3$

Step-by-step explanation:

To factor this cubic polynomial $x^3+3x^2-9x-27$ you must:

Group the polynomial into two sections

$x^3+3x^2-9x-27=\left(x^3+3x^2\right)+\left(-9x-27\right)$

Factor out -9 from $(-9x-27)$

$(-9x-27)=-9\left(x+3\right)$

Factor out $x^2$ from $(x^3+3x^2)$

$(x^3+3x^2)=x^2\left(x+3\right)$

$x^3+3x^2-9x-27=-9\left(x+3\right)+x^2\left(x+3\right)$

Factor out common term $x+3$

$-9\left(x+3\right)+x^2\left(x+3\right)=\left(x+3\right)\left(x^2-9\right)$

$x^3+3x^2-9x-27=\left(x+3\right)\left(x^2-9\right)$

Factor $x^2-9$

$x^2-9=\left(x+3\right)\left(x-3\right)$

$x^3+3x^2-9x-27= \left(x+3\right)\left(x+3\right)\left(x-3\right)$

$x^3+3x^2-9x-27=\left(x+3\right)^2\left(x-3\right)=0$

Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

$x+3=0, \quad{x=-3}\\x-3=0, \quad{x=3}$

The solutions are

$x=-3,\:x=3$

3 0

3 years ago

Question is down below thanks

Sidana [21]

Answer:

E

Step-by-step explanation:

A linear equation is in the form of: $y=mx+b$ , where m is the slope and b is the y-intercept.

m is the slope and it's given, which is -6

b is the y-intercept and it's given, which is 9

When we plug in to the form we get:

$y=-6x+9$

8 0

3 years ago

Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.

Oxana [17]

Answer:

6m + n + 2

Step-by-step explanation:

[7m + 3n - 11 - 2m] + [n + 5 - -m - 3n + 8]

[5m + 3n - 11] + [n + 5 + m - 3n + 8]

5m + 3n - 11 + (-2n + 13 + m)

5m + 3n - 11 - 2n + 13 + m

6m + n + 2

3 0

3 years ago

Is this graph increasing or decreasing or is it constant ?

Gwar [14]

Constant because of the fact that it has a zero slope, so it will never decrease nor decrease.

7 0

3 years ago

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