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3 years ago

Rewrite x-3y=6 in slope intercept from

Mathematics

1 answer:

zheka24 [161]3 years ago

6 0

Answer: 1/3x -2

Step-by-step explanation:

X-3y =6 subtract x from both sides first

-3y=6-x. Then divide both sides by -3

Y= 6-x /-3 simplify

Y= -2+x/3 rearrange

Y= 1/3x -2

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FIND THE LENGTH AND WIDTH OF THE RECTANGLE

insens350 [35]

W = width
3w + 7 = length

Equation: 3w + 7 + w = 75
Combine like terms: 4w + 7 = 75
Subtract 7 to the other side: 4w = 68
Divide both sides by 4: w = 17

Width = 17
Length = 3(17) + 7, so 58

7 0

3 years ago

Read 2 more answers

Match solutions and differential equations. Note: Each equation may have more than one solution. Select all that apply. (a) 7y''

Nonamiya [84]

Answer:

a- $e^x,e^{-x}$

b- $x^{-2}$

c- $x^3$

Step-by-step explanation:

a.7 y''-7 y =0

Auxillary equation

$D^2-1=0$

$(D-1)(D+1)=0$

D=1,-1

Then , the solution of given differential equation

$y=e^x,y=e^{-x}$

2. $7x^2y''+14xy'-14 y=0$

Y= $y=x^3$

$y=3x^2$

$y''=6x$

Substitute in the given differential equation

$42x^3+42x^3-14x^3\neq 0$

Hence, $x^3$ is not a solution of given differential equation

$e^x,e^{-x}$ are also not a solution of given differential equation.

y= $x^{-2}$

$y'=-2x^{-3}$

$y''=6x^{-4}$

Substitute the values in the differential equation

$7x^2(6x^{-4})+14x(-2x^{-3})-14 x^{-2}$

= $42x^{-2}-28x^{-2}-14x^{-2}=0$

Hence, $x^{-2}$ is a solution of given differential equation.

c. $7x^2y''-42y=0$

$y=x^3$

$y'=3x^2$

$y''=6x$

Substitute the values in the differential equation

$42x^3-42x^3=0$

Hence, $x^3$ is a solution of given differential equation.

a- $e^x,e^{-x}$

b- $x^{-2}$

c- $x^3$

6 0

3 years ago

Read 2 more answers

Solve for x.

PolarNik [594]

Answer:

there is no value of x that will make this equation true

3 0

2 years ago

Read 2 more answers

When 47 is added to a number the result is 37 less than 7 times the number.

REY [17]

X - the number

The number is <span>14.</span>

3 0

3 years ago

Alex has five rolls of shelf paper that is 800 cm long.She wants to use the to line the 1-meter wide shelves in her pantry. How

jeyben [28]

Answer:

Alex can line eight 1-meter wide with the paper.

Step-by-step explanation:

- Alex has five rolls of shelf paper that is 800cm.

- She wants to use the paper to line the 1-meter wide shelves in her pantry.

- We want to determine how many 1-meter wide she can line with the paper.

- First, we know that

100cm = 1m

- we need to determine how many meters are in 800cm.

100cm = 1m

800cm = xm

100x = 800

x = 800/100

= 8

Therefore, 800cm is equivalent to 8m

Alex can line eight 1-meter wide with the paper.

5 0

3 years ago