A snowbank that is 6 inches deep is melting at a rate of 0.5 inch per hour. Write a linear function to model the scenario and identify the domain and range of the function.

Answer:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.

For example:

2 = 2 or x = x or 0 = 0

Solving the question above:

Which linear equations have an infinite number of solutions? Check all that apply.

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

x - 3/7 = 6x/6 - 18/42

x - 3/7 = x - 3/7

Collect like terms

x - x = -3/7 + 3/7

0 = 0

The linear equation in option a has an infinite number of solutions

b) 8(x + 2) = 5x – 14

8x + 16 = 5x - 14

Collect like terms

8x - 5x = -14 - 16

3x = -30

x = -30/3

x = -10.

The linear equation in Option b has a true solution.

c) 12.3x – 18 = 3(–6 + 4.1x)

12.3x - 18 = -18 + 12.3x

Collect like terms

12.3x - 12.3x = -18 + 18

0 = 0

The linear equation in Option c has infinite number of solutions

d) 1\2(6x + 10) = 7(3\7x – 2)

6x/2 + 5 = 21/7x - 14

3x + 5 = 3x - 14

Collect like terms

3x - 3x = -14 - 5

0 = -19

The linear equation Option d has no solution

e) 4.2x – 3.5 = 2.1 (5x + 8)

4.2x - 3.5 = 10.5x + 16.8

Collect like terms

4.2x - 10.5x = 16.8 + 3.5

-6.3x = 20.3

x = -20.3/6.3

x = -3.22

Hence, the linear equation in Option e has a true solution

Therefore, the linear equations have an infinite number of solutions are:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Answer(x – 3\7) = 2\3 (3\2x – 9\14 ) and (12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

Answer:

heyyy even though you are not talking to me

BAHBAHA

Step-by-step explanation:

Answer: 7 x 522= 3654

Step-by-step explanation: The answer is esimated to 3653. I don't know if this will help, but hope it does. Thank you  

Answer:

2023

Step-by-step explanation:

Answer: it’s C

Step-by-step explanation:

Answer:

y = 2x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (0, - 3)

m = [tex]\frac{-3-5}{0-4}[/tex] = [tex]\frac{-8}{-4}[/tex] = 2

The line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = 2x - 3 ← equation of line

Answer:

does anyone else miss their best friend ?? :C

Step-by-step explanation:

ZACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK COMEEEEEEEE BACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answer:

U okay?

Step-by-step explanation:

Answer:

Step-by-step explanation:

11/20ths

Answer:

9

Step-by-step explanation:

[1/2]^-1 +[1/3]^-1 +[1/4]^-1=9

You need to simplify the expression.

You end up with the answer: 9

Answer:

QR = 10

Step-by-step explanation:

QR + RS = QS , substitute values

18 + x + 2x + 23 = 17 , that is

3x + 41 = 17 ( subtract 41 from both sides )

3x = - 24 ( divide both sides by 3 )

x = - 8

Thus

QR = 18 + x = 18 - 8 = 10

Answer:

(6*3+5+2)*4/1 or (6*3+4-2)*5/1

Step-by-step explanation:

Have a great day :)

Answer:

((6 x 3 + 4/2) x 5 ) / 1

Answer:

There the coordinates of the point are:

(x, y) = (-2.5, 1.5)

Therefore, option 'b' is true.

Step-by-step explanation:

From the coordinate plane, it is clear that the point is located in the 2nd quadrant.

We know that the second quadrant has negative x values and positive y values.

2nd quadrant → (-, +)

The point is clearly located at the location at x=-2.5 and y=1.5

There the coordinates of the point are:

(x, y) = (-2.5, 1.5)

Therefore, option 'b' is true.

Answer:

3x+2

Step-by-step explanation:

3 times (multiply by 3)

"the number" is unknown so that would be x

and 2 is basically adding 2 to the equation so

3x+2

Answer:

y = x + 1

Step-by-step explanation:

This is in slope intercept form. 1 is the point that you start at: (0, 1)

The slope is 1

y = 1x + 1 or

y = x + 1

Answer:

37.7 feet

Step-by-step explanation:

1/2 mile is 2,640.. which you would do 2,640 ÷ 350 and it will give you some number... now with that number you would multiply that with 5.

Answer:

[tex]x^{2} -121[/tex] goes with (x+11)(x-11)

[tex]x^{2} +121[/tex] does not have a solution/answer

[tex]16x^{2} -25[/tex] goes with (4x+5)(4x-5)

[tex]25x^{2} -16[/tex] goes with (5x+4)(5x-4)

[tex]x^{2} -50[/tex] does not have a solution/answer

[tex]x^{4}-64[/tex] goes with [tex](x^{2} +8) (x^{2} -8)[/tex]

[tex]x^{2} -144[/tex] goes with (x+12) (x-12)

Step-by-step explanation:

its factoring

Answer:

Slope, b = 1.38 ; intercept, a = - 0.56 ;

Y = - 0.56 + 1.38x

Step-by-step explanation:

Given that :

xbar = 12

ybar = 16

r = .46

Sy = 18

Sx = 6

The equation of a line can be expressed as :

Y = a + bx

Where ;

a = intercept ; b = slope ; x = independent variable ; y = dependent variable

The slope b ; can be obtained using the relation :

b = r(Sy / Sx)

= 0.46(18/6)

= 0.46(3)

= 1.38

The intercept a, can be obtained using the relation :

Ybar - b(Xbar)

16 - 1.38(12)

16 - 16.56

a = - 0.56

Hence ;

Slope, b = 1.38 ; intercept, a = - 0.56

Th equation of the line will be :

Y = - 0.56 + 1.38x

Answer:

0.24

Step-by-step explanation:

Have a wonderful day <3

Answer:

1. 9461000000000

move the desimal in 9.461 12 places to the right to get:

9461000000000

2.

5.85 x 10^-3,

2.5 x 10^-1,

3.6 x 10^8,

8.5 x 10^8,

8.5 x 10^12

the smallest exponent is the smallest. Since 8.5 x 10^8 and 3.6 x 10^8 have the same exponent, go to the desimal

Answer:

8/12

Step-by-step explanation:

you want to write out your problem so it is

1/4 * 2 2/3

then you would want to change your 2nd fraction into an improper fraction (i think.  i don't remember the correct term)

so you would multiply the denominator by the whole number on the side and then add the numerator to it

2 2/3 would them become 8/3 (you keep the denominator the same through the process)

so then you would multiply

1/4 by 8/3

multiply across and you get 8/12

Im not a very good explainer but i hope i helped :)

Answer:

Please help and If you can have a good night

Answer:

A)3

Step-by-step explanation:

if im wrong tell me and i will do it again

HOPE THIS HELPS:::)))

Answer:

B

Step-by-step explanation:

Answer:

D S = (1 - 0.2)g

Step-by-step explanation:

The original price of the guitar was g.

She paid 0.8g.

0.8g = 0.80g = 80% of g

If she paid 80% of the price, that means the discount was 20%.

100% - 20% = 1 - 0.2

Subtracting 20% form the whole 100% of the price is the same as subtracting 0.2 from the whole price of 1.

Answer: D S = (1 - 0.2)g

Answer:

B (1, 3)

Step-by-step explanation:

midpoint formula is m=(x1 + x2 / 2), (y1 + y2 / 2)

So the xs are 3 and -1 add them to get 2, divided by 2 is 1.

The ys are 2 and 4, which equal 6, divided by 2 is 3.

So (1, 3)