which of these tables represents a linear function?​

Answer:

8x = 32

x = 4

y = 6

Step-by-step explanation:

2.5y + 3x = 27

5x – 2.5y = 5

_____________

8x = 32 (equation obtained after adding the two equations)

x = 32/8

x = 4

Plug x = 4 in 2.5y + 3x = 27

2.5y + 3*4 = 27

2.5y + 12 = 27

2.5y = 27 - 12

2.y5= 15

y = 15/2.5

y = 6

The equation results of adding the two equations is 8x = 32.

The solution to the system is (4, 6).

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Given, A system of linear equations in variables 'x' and 'y'.

2.5y + 3x = 27...(i) and 5x - 2.5y = 5...(ii)'

Reaaranging eqn(i) we have

3x + 2.5y = 27...(iii)

Adding (ii) and (ii) we have,

8x = 32.       (As + 2.5y and - 2.5y cancels)

x = 32/8.

x = 4.

Putting the value of 'x' in eqn(i) we have,

2.5y + 12 = 27.

2.5y = 15.

y = 6.

So, The solution to the system is (4, 6).

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Answer:

b

Step-by-step explanation:

7r7f7fdud6f7fuf6ffuf7f7fud7d7d6d6d

Answer:

doing this in oddseyware rn its is A C D F

mark brainlist

Step-by-step explanation:

Answer:

a b e i think  

Step-by-step explanation:

Answer:

relation

Step-by-step explanation:

i just took the test and got it wrong because of the other answer

Answer:

If your trying to find the slope and y-int of that equation:

Slope: 3

y-int: (0, -6)

Answer:

7 and 8: these are both proportional relationships because they grow at a constant rate of change

9: for every 40 miles that the car travels, it uses 2 gallons of gas.

10:  y= 20x

11: the graph would be steeper and have a greater rate of change. This car would be able to go farther on less fuel.

Answer:

2.88

Step-by-step explanation:

You add $15.95 + $1.17 = $17.12 and subtract $20 and its $2.88 he will get back

Answer:

Step-by-step explanation:

We can split this up into 3 shapes.

Using the attached image:

[tex]A = (5-2)*(3)\\A = 3*3 = 9\\\\B = \frac{1}{2}(7-3)(5-2)\\B = \frac{1}{2}(4)(3)\\B = 2*3 = 6\\\\C = 7 * 2 = 14\\\\A + B + C = 14 + 6 + 9 = 29[/tex]

Answer:

The solution set is { } or ∅ ⇒ empty set

Step-by-step explanation:

∵ 2x + 10 < 10

→ Subtract 10 from the two sides of the inequality

∵ 2x + 10 - 10 < 10 - 10

∴ 2x < 0

→ Divide both sides by 2

∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]

∴ x < 0

∴ The solutions are all the negative numbers

∵ x ∈ N

∵ N is the set of Natural numbers

→ The natural numbers start at 1 and include all positive whole numbers

∴ N = {1, 2, 3, 4, 5, ..............}

∵ N does not contain any negative numbers

∴ The solution set is an empty set ⇒ ∅

∴ The solution set is { } or ∅

Answer:

The distance from point A to given line is: 2√5 or 4.472 units

Step-by-step explanation:

Given equation of line is:

[tex]-x+2y= 14[/tex]

And the point is:

[tex]A = (x_1,y_1) = (-14,5)[/tex]

The standard form of equation of line is:

[tex]Ax+By+C = 0[/tex]

Converting the given equation into standard form

[tex]-x+2y-14=0[/tex]

The distance of a point (x1,y1) from a line is given by the formula:

[tex]d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}[/tex]

In the given details,

A = -1, B = 2, C = -14

x1 = -14, y1 = 5

Putting the values in the formula

[tex]d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units[/tex]

Hence,

The distance from point A to given line is: 2√5 or 4.472 units

Answer:

B. 1/6

Step-by-step explanation:

Answer:

x + y - 1 = 0

Step-by-step explanation:

y = -x - 11

therefore its slope is -1

x1= -3

y1 = 4

m = -1

from, y - y1 = m(x -x1)

y - 4 = -1(x + 3)

y -4 = -x -3

x + y -1 = 0

Answer:

[tex]{:}\leadsto [/tex][tex]\sf AB=\sqrt {(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf \sqrt {(9-2)^2+(25-1)^2}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf \sqrt {(7)^2+(24)^2}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf \sqrt {49+576}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf \sqrt {625}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf AB=25cm [/tex]

Answer:

Step-by-step explanation:

Equation:

-3k = 108

We need to separate -3 from k. So we must do the inverse operation.

Divide both sides by -3

k = -36

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Answer:

I think it's A hope this helps

Answer:

17 t-shirts sold

Step-by-step explanation:

If we assume that we don't need t find the number of hats, then we can say that the profit from -tshirts would be $125 minus 40 or $85

Then we can write the following equation of x is the number of t-shirts:

5x = 85

If we solve by diving both sides of the equation by 5:

5x/5 = 85/5

x = 17 t-shirts sold

Answer: B, C, E

Step-by-step explanation:

For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.

A. 12 pieces of 42.3 centimeter long rope.

= 12 × 42.3

= 507.6

This is wrong

B. 15 pieces of 33.6 centimeter long rope

= 15 × 33.6

= 504cm

This is correct

C. 16 pieces of 31.5 centimeter long rope

= 16 × 31.5

= 504cm

This is correct

D. 20 pieces of 25 centimeter long rope

= 20 × 25

= 500cm

This is incorrect

E. 35 pieces of 14.4 centimeter long rope

= 35 × 14.4

= 504cm

This is correct

Therefore, the correct option are B, C and E.

Answer:

The rabbit is faster, as it has a speed of 44 mph.

Step-by-step explanation:

Since the fox runs 62 miles in 2 hours, its speed can be determined by dividing the miles traveled by the time it took to do so. Thus, since 62/2 equals 31, its speed was 31 miles per hour.

In turn, the rabbit can travel 22 miles in half an hour. Following the same procedure, since 22 / 0.5 equals 44, its speed is 44 miles per hour.

Therefore, the rabbit is faster than the fox, since it has a speed of 44 mph versus 31 mph for the latter.

Answer:

£20

Step-by-step explanation:

Given that:

Total amount alloted = 2000

Ticket cost = 32

Discount = 1/4 off

Hence, ticket price = 3/4 * 32 = 24

Train ticket cost = 12

Total cost per person = £(12 + 24) = £36

Hence, alloted amount / cost per person

= £2000 / £36

= 55.55

Total number that can attend = 2 teachers and 53 students

Change = £2000 - (£36*55)

= £20

The answer to this question is 7.404

Answer:

78 i think

Step-by-step explanation:

Answer:

y=[tex]-\frac{2}{3}[/tex]x[tex]-\frac{5}{3}[/tex]

Step-by-step explanation:

y=mx+c

y= [tex]-\frac{2}{3}[/tex]x+c

substitute (-4;1)

1=-[tex]-\frac{2}{3}[/tex](-4) +c

1-[tex]\frac{8}{3}[/tex]=c

c=[tex]-\frac{5}{3}[/tex]

Answer:

Step-by-step explanation:

answer on edmentum

Answer:

6, 7, and 8

Step-by-step explanation:

2x/3 + 7 > 11

Subtract 7 from both sides

2x/3 > 4

Multiply both sides by 3

2x > 12

Divide both sides by 2

x > 6

6, 7, and 8 are the ones that work

Answer:

[tex]y=1.25x+1.5[/tex]

Step-by-step explanation:

Step one:

given data

let the manufacturing cost of the video game be x

25% of x

=25/100*x

=0.25x

the new price of the video game will be

=0.25x+x

=$1.25x

cost of shipping is given as $1.5

let the total cost of producing a video game be y

The expression for the total cost of one video game is given as

[tex]y=1.25x+1.5[/tex]

Answer:

a:t

b:f

c:f

d:t

e:f

I think

Answer:

Exact form: x = 27/5

Decimal form: x = 5.4

Mixed-number form: x = 5 2/5

Step-by-step explanation:

hope this helps :)