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3 years ago

Please explain how to find the proportional relationship.

Mathematics

1 answer:

zvonat [6]3 years ago

7 0

Answer:

The table A represent a proportional relationship

The table B not represent a proportional relationship

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each table

Table A

Find the value of k

For x=1,y=2 ------> $k=\frac{2}{1}=2$

For x=3,y=6 ------> $k=\frac{6}{3}=2$

For x=4,y=8 ------> $k=\frac{8}{4}=2$

For x=5,y=10 ------> $k=\frac{10}{5}=2$

All the values of k are the same

The table A represent a proportional relationship

The equation of the proportional relationship is equal to

$y=2x$

Table B

Find the value of k

For x=1,y=3 ------> $k=\frac{3}{1}=3$

For x=2,y=4 ------> $k=\frac{4}{2}=2$

The values of k are different

The table B not represent a proportional relationship

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Which is not a solution of the inequality?

Soloha48 [4]

Answer:

Answer= -4 hope it helps

4 0

2 years ago

Can someone please help??? WILL MARK BRAINLIEST

olya-2409 [2.1K]

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

To find the slope, you can use the slope formula and plug in the two points:

(3,63) = (x₁ , y₁)

(5,107) = (x₂, y₂)

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{107-63}{5-3}$

$m=\frac{44}{2}$

m = 22

Now that you know m = 22, plug it into the equation:

y = mx + b

y = 22x + b

To find "b", plug in one of the points into the equation (I will do both points)

(3,63)

y = 22x + b

63 = 22(3) + b

63 = 66 + b Subtract 66 on both sides

-3 = b

(5,107)

y = 22x + b

107 = 22(5) + b

107 = 110 + b Subtract 110 on both sides

-3 = b

y = 22x - 3

8 0

3 years ago

The total cost for g grams of pepperoni if each gram costs $5.65

11Alexandr11 [23.1K]

We are given

g is weight of pepperoni in grams

C is the total cost

if each gram costs $5.65

So, 1 gram cost =$5.65

so, g gram cost is

$=5.65\times g$

we can term it as C

which means total cost

so, total cost is

$=5.65\times g$

or we can write as

$C=5.65\times g$ ................Answer

7 0

3 years ago

Does anyone know how to do this help please

statuscvo [17]

Answer:

$\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}$

Step-by-step explanation:

A quadratic function is given to us . And we need to fill out the table by using the function . The given function is ,

$\rm\implies y = x^2+x - 6$

Here we need to substitute the different values of x , to get the different values of y.

Put x = -3 :-

$\rm\implies y = 3^2-3-6\\$

$\rm\implies y = 9 - 3 - 6 \\$

$\rm\implies y = 0$

Put x = -2 :-

$\rm\implies y = 2^2-2-6\\$

$\rm\implies y = 4 -2-6\\$

$\rm\implies y = -4$

Put x = -1 :-

$\rm\implies y = -1^2-1-6\\$

$\rm\implies y = 1 -1-6 \\$

$\rm\implies y = -6$

Put x = 1 :-

$\rm\implies y = 1^2+1-6\\$

$\rm\implies y = 2 -6$

$\rm\implies y = -4$

Put x = 2 :-

$\rm\implies y = 2^2+2-6\\$

$\rm\implies y = 4 +2-6\\$

$\rm\implies y = 2$

Put x = 3 :-

$\rm\implies y = 3^2+3-6\\$

$\rm\implies y = 9 +3-6\\$

$\rm\implies y = 6$

Final table :-

$\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}$

7 0

2 years ago

Need help fast!! Need steps also

ruslelena [56]

Answer:

arc AB = 3.14 in

Step-by-step explanation:

circumference of full circle = π2r = (3.14)(2)(6) = 37.68 in

arc AB = (30°/360°)(37.68) = 3.14 in

5 0

2 years ago