All categories

3 years ago

Work out the m and c fornthe line:

Mathematics

1 answer:

Nana76 [90]3 years ago

8 0

Step-by-step explanation:

Standard form for equation of line:

y = mx + c

where m = slope,

c = y intercept.

now we have to arrange the equation to fit the standard form.

$3y + 2x = 1 \\ 3y = 1 - 2x \\ 3y = - 2x + 1 \\ y = \frac{ - 2x + 1}{3} \\ y = - \frac{2}{3} x + \frac{1}{3}$

From here, you can see the slope, m = -2/3 and the y-intercept, c = 1/3

You might be interested in

The point (-7,6) is in the

san4es73 [151]

Answer:

need a pic to see

Step-by-step explanation:

8 0

3 years ago

The solution to a system of equations is (6-3). Choose two equations that might make up the system. Y= -3x+6 Y=2x-9 y=-5x+27 y=2

MakcuM [25]

Answer: C) y = -5x + 27 and D) y = 2x - 15

<u>Step-by-step explanation:</u>

Substitute x = 6 and y = -3 into each of the given equations to see which result in a TRUE statement.

A) y = -3x + 6

-3 = -3(6) + 6

-3 = -18 + 6

-3 = -12 FALSE

B) y = 2x - 9

-3 = 2(6) - 9

-3 = 12 - 9

-3 = 3 FALSE

C) y = -5x + 27

-3 = -5(6) + 27

-3 = -30 + 27

-3 = -3 TRUE!

D) y = 2x - 15

-3 = 2(6) - 15

-3 = 12 - 15

-3 = -3 TRUE!

E) y = -4x + 27

-3 = -4(6) + 27

-3 = -24 + 27

-3 = 3 FALSE

6 0

4 years ago

8. How many ways can a committee of 5 students be chosen from a student council of 30 students? Is the order in which the member

tankabanditka [31]

Answer: A committee of 5 students can be chosen from a student council of 30 students in 142506 ways.

No , the order in which the members of the committee are chosen is not important.

Step-by-step explanation:

Given : The total number of students in the council = 30

The number of students needed to be chosen = 5

The order in which the members of the committee are chosen does not matter.

So we Combinations (If order matters then we use permutations.)

The number of combinations of to select r things of n things = $^nC_r=\dfrac{n!}{r!(n-r)!}$

So the number of ways a committee of 5 students can be chosen from a student council of 30 students= $^{30}C_5=\dfrac{30!}{5!(30-5)!}$

$=\dfrac{30\times29\times28\times27\times26\times25!}{(120)\times25!}=142506$

Therefore , a committee of 5 students can be chosen from a student council of 30 students in 142506 ways.

4 0

3 years ago

Y = 3x + 4, what is y when x is 1, 2, and 3?

zalisa [80]

Answer:

y(1) = 7

y(2) = 10

y(3) = 13

Step-by-step explanation:

y = 3(1) + 4

y = 3 + 4

y = 7

y = 3(2) + 4

y = 6 + 4

y = 10

y = 3(3) + 4

y = 9 + 4

y = 13

<em>good luck, i hope this helps :)</em>

6 0

3 years ago

Can someone help me with these?

konstantin123 [22]

Answer:

Step-by-step explanation:

4 0

3 years ago

Work out the m and c fornthe line:​

Work out the m and c fornthe line: