Determine the function rule for the following input/output table.
inputs
2
3
4
5
6
outputs
21
31
41
51
61

9514 1404 393

Answer:

  (x, y, z) = (2, 1, -5)

Step-by-step explanation:

There are numerous equation solvers available on the web. The attached result is from one of them.

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You may find it easier to solve these by hand if you eliminate fractions.

The first step is to look to see what you have, then formulate a strategy for getting a solution. Because the equations containing y have opposite coefficients, one of which is -1, we choose to use those to eliminate y. Immediately, we will have two equations in x and z.

If  you multiply the first equation by 3 and add that to the second, then you will eliminate y. The third equation already has y eliminated, so you will then have two equations in x and z.

  3(2x -y +z) +(x +3y -z) = 3(-2) +(10)

  6x -3y +3z +x +3y -z = -6 +10

  7x +2z = 4 . . . . [eq4]

Subtracting the third equation from this eliminates z, so you have ...

  (7x +2z) -(x +2z) = (4) -(-8)

  6x = 12

  x = 2

Substituting into the third equation gives ...

  2 +2z = -8

  2z = -10

  z = -5

Then using the first equation, you have ...

  y = 2x +z +2 = 2(2) +(-5) +2 = 1

(x, y, z) = (2, 1, -5)

Answer:

2 6

4 20

10 110

-3 6

5 30

7 56

1 2

[tex]rule \: \: y = {x}^{2} + x[/tex]

Step-by-step explanation:

First thing to do is look for a pattern with the current data. What I found was the pattern, ahich is the rule. See below.

[tex]y = {x}^{2} + x[/tex]

Now insert the given values for x and y into the rule.

[tex]y = - {3}^{2} - 3 \\ y = 6 \\ \\ 30 = {x}^{2} + x \\ x = 5 \\ \\ y = {1}^{2} + 1 \\ y = 2[/tex]

There are 2 ways to solve this system: by elimination or by graphing. I will solve it by elimination. First will solve for x.

[tex]2x - 2y = 6\\3x + 2y = 9\\\\5x = 15\\\\x = 3\\[/tex]

Now we will solve for y using what we got for x.

[tex]2(3) - 2y = 6\\\\6 - 2y = 6\\\\-2y = 0\\\\y = 0[/tex]

Solution:

A: [tex](0, 3)[/tex]

Answer: 58 14ths

Step-by-step explanation:

multiply 14 by 4 to get 56 14ths, then add the 2

Answer:

58/14

Step-by-step explanation:

4 and 2/14= 4*4*4*4 = 56 + 2 = 58/14

Answer:

Should be C

Step-by-step explanation:

The y-intercept for f(x) is greater than the y-intercept for g(x). Therefore, option A is the correct answer.

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

From the table, we have the coordinates (-2, 0) and (-1, 1).

Here, slope (m)=(1-0)/(-1+2)

m=1

Substitute m=1 and (x, y)=(-2, 0) in y=mx+c, we get

0=1(-2)+c

c=2

From the graph y-intercept is c=1

Therefore, option A is the correct answer.

To learn more about the y-intercept visit:

brainly.com/question/14180189.

#SPJ2

Answer:

a=5 b=8 c=4

Step-by-step explanation:i hope this is right

Answer:

The distance would be 3 kilometers

Step-by-step explanation:

Each kilometer is 1,000 meters. Divide 3,000/1,000= 3

Answer:

0.001 fluid oz.

Step-by-step explanation:

100 : 0.1 = 10,000 = 0.001

Answer:

(1, -3) is a solution to the system of equations ⇒ B

Step-by-step explanation:

Let us solve the system of equations

∵ 3x + 2y = -3 ⇒ (1)

∵ 3x - y = 6 ⇒ (2)

→ Subtract equation (2) from equation (1)

∵ (3x - 3x) + (2y - -y) = (-3 - 6)

∴ (0) + (2y + y) = (-9)

∴ 3y = -9

→ Divide both sides by 3 to find y

∴ y = -3

→ Substitute the value of y in equation (2) to find x

∵ 3x - (-3) = 6

∴ 3x + 3 = 6

→ Subtract 3 from both sides

∵ 3x + 3 - 3 = 6 - 3

∴ 3x = 3

→ Divide both sides by 3 to find x

∴ x = 1

To check the answer substitute the values of x any in each equation if the two sides of the equation are equal, then the solution is right

∵ 3x + 2y = -3

∵ 3(1) + 2(-3) = -3

∴ 3 - 6 = -3

∴ -3 = -3

→ The two sides of the equation are equal

∵ 3x - y = 6

∵ 3(1) - (-3) = 6

∴ 3 + 3 = 6

∴ 6 = 6

→ The two sides of the equation are equal

∴ The solution satisfies the two equations

∴ (1, -3) is a solution to the system

Answer:

C

Step-by-step explanation:

A closed circle means inclusive, and -2 is included in values that would make the equation true. Then you just have to test another number greater than and less than -2 to see which way the arrow should point.

-3(-3) + 1 < 7

9 + 1 < 7

10 < 7 FALSE

-3(0) + 1 < 7

1 < 7 TRUE

All values (including -2) will make this equation true

Question:

Which number line shows all the values of x that make the inequality

-2x - 7 ≥ 13 true?

Answer:

180

Step-by-step explanation:

12x15=180 simple

Answer:

Step-by-step explanation:

im not sure buddy

Answer:

1) C

Step-by-step explanation:

Step 1)

First we have to plot ↓

2x ≥ y + 2

And that looks like Image 1

Step 2)

Second we have to plot ↓

2x - 5y ≤ 10

and that looks like Image 2

Answer:

A

Step-by-step explanation:

I Hope this helps you out!

Eliza claims that the two squares are congruent. The statement that could be used to prove Eliza's claim can be found in Option A.

Any two squares are congruent since all squares have angles of 90 degrees.

A figure is said to be congruent if they have similar angles and the position of each shape corresponds to each other.

From the given figure attached to the question, we can see that the two shapes in the figure are squares, and they are located at 2 units each from the origin. The angles of each shape are 90° to the horizontal line and they are perpendicular to each other.

The two squares may not be congruent since not only translation carries one square onto the other, from the figure in the question, it may be a reflection and not only translation.

Also, only the sides of a shape cannot be used as a determining factor to determine if a shape is congruent or not.

Therefore, we can conclude that any two squares are congruent since all squares have angles of 90 degrees.

Learn more about congruent angles here:

https://brainly.com/question/16448127?referrer=searchResults

Answer:

a: -1,-1

b: 2,3

c:6,7

d: 5, 7

Step-by-step explanation:

Answer:

A -1,-1

B 2,3

C 6,7

D 5,-3

Step-by-step explanation:

You have to plug in each plotted point into the formula that was given to you.

Ex - A is plotted point is (-4,-3) so you plug in (-4+3,-3+2) which will give you (-1,-1)

Answer:

5/1. 9/10 ÷ 5 = 9/50

Step-by-step explanation:

a whole number 5 can be written as 5/1. 9/10 ÷ 5 = 9/50 in fraction form.

hope this helped. Let me know if i was right. Im sorry if I was wrong Im not so good at math.

Answer:

the answer is most likely to be (x+46)

Answer:

what are the prices?

Answer:

75%

Step-by-step explanation:

Just do long division and get c.75%

Pls mark brainliest

Answer:

75%

Step-by-step explanation:

I swear it is right.

Answer: Yes, add one more each time you add

Step-by-step explanation:

Answer:

x = 32

Step-by-step explanation:

2x and 64° are corresponding angles and are congruent, thus

2x = 64 ( divide both sides by 2 )

x = 32

Multiply number pf people by amount they are having:

13 people x 4/5 pint = (13 x 4)/5 = 52/5 = 10 2/5 pints.

They need 10 2/5 pints total. ( Simplest form)

Since you can't buy a fraction of a pint, they would actually need to buy 11 pints

Answer:

x = -1, y = -2

Step-by-step explanation:

-3x-4y=11

y=2x

Plug in 2x for y:

-3x-4(2x)=11

-3x-8x = 11

-11x = 11

x =-1

Plug in x in y = 2x

y = 2(-1)

y = -2

Answer:(-1,-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

67,72..