All categories

3 years ago

What’s the equation from each line from the table?

Mathematics

1 answer:

ziro4ka [17]3 years ago

4 0

Answer:

y=3x+5

Explanation:
Taking two coordinates
(-1,2). (0,5)
Solving for the slope (m) by using its rules
m= y2-y1/x2-x1
m= 5-2/0-(-1)
m= 3/1 =3

Solving for b
y=mx+b
2=3(-1)+b
2=-3+b
+3. +3
5=b

I hope this makes m sense by any chance :)

You might be interested in

From a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper. T

levacccp [35]

Answer:

Max vol = 2 cubic metres

Step-by-step explanation:

Given that from a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper.

Side of the square = 3m

If squares are to be cut from the corners of the cardboard we have the dimensions of the box as

3-2x, 3-2x and x.

Hence x can never be greater than or equal to 1.5

V(x) = Volume = $V(x) = x(3-2x)^2\\= 9x+4x^3-12x^2$

We use derivative test to find the maxima

$V'(x) = 9+12x^2-24x\\V"(x) = 24x-24\\$

Equate I derivative to 0

$9+12x^2-24x=0\\x=1/2,3/2$

If x= 3/2 box will have 0 volume

So this is ignored

V"(1/2) <0

So maximum when x =1/2

Maximum volume

= $9(1/2)+4(1/2)^3-12(1/2)^2\\=2$ cubic metres

6 0

3 years ago

Write 6.04x10^3 as an ordinary number

scoray [572]

Answer:

6040

Step-by-step explanation:

You can find out in two different ways, either use scientific notation or a calculator. If you go 3 steps to the right (since it's a positive power) you will get 6040. Hope this helped. :)

8 0

3 years ago

Read 2 more answers

Mark’s canoes rents canoes for $20 plus $13 per hour. You do not want to spend more than $150. For how many hours can you afford

Evgen [1.6K]

Answer: x ≤ 10

Step-by-step explanation:

20 + 13x ≤ 150

13x ≤ 150 - 20

13x ≤ 130

x ≤ 130 ÷ 13

x ≤ 10

8 0

2 years ago

Solve for x x/6=10 1) x=10 2) x=60 3) x=4 4) x=16

gregori [183]

Answer:

2) x=60

Step-by-step explanation:

x/6=10

multiply both sides by 6

x = 10*6

x=60

hope this helps! :D

have a miraculous day!! <3

6 0

3 years ago

Read 2 more answers

We want to factor the following expression:

S_A_V [24]

Answer:

A. (U+V)^2 or (U-V)^2

Step-by-step explanation:

$9x^6 + 6x^3y + y^2 \\ \\ = {(3 {x}^{3} )}^{2} + 2.(3x^3).y +( y)^2 \\ \\ = \bigg({3 {x}^{3} } + y \bigg)^{2} \\ \\ = \bigg({3 {x}^{3} } + y \bigg) \bigg({3 {x}^{3} } + y \bigg) \\ \\ \\ \\$

4 0

2 years ago