Which statement explains why the two systems of equations below have the same solution

Answer:

A function is a relationship between two variables, such that one variable is determined by the other variable.

A function can be represented verbally. For example, the circumference of a square is four times one of its sides.

A function can be represented algebraically. For example, 3x+6 3 x + 6 .

A function can be represented numerically.

A function can be represented graphically.

Step-by-step explanation:

The function is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

We need to define function.

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.

Different types of a function:

The types of functions have been classified into the following four types.

Representation of functions:

There are three different forms of representation of functions.

Venn Diagram: The Venn diagram is an important format for representing the function. The Venn diagrams are usually presented as two circles with arrows connecting the element in each of the circles. The domain is presented in one circle and the range values are presented in another circle. And the function defines the arrows, and how the arrows connect the different elements in the two circles.

Graphical Form: Functions are easy to understand if they are represented in the graphical form with the help of the coordinate axes. Representing the function in the graphical form helps us to understand the changing behaviour of the functions if the function is increasing or decreasing. The domain of the function - the x value is represented along the x-axis, and the range or the f(x) value of the function is plotted with respect to the y-axis.

Roster Form: Roster notation of a set is a simple mathematical representation of the set in mathematical form. The domain and range of the function are represented in flower brackets with the first element of a pair representing the domain and the second element representing the range.

Therefore, the function is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

To learn more about the function visit:

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Answer:

The answer is 4 x p.

Hope this helps! :)

Answer: Its they second or last one but the second one sound more clear

Step-by-step explanation:

Solution :

It is given that a psychologist wants to determine the difficulty of the task influences on the estimate of how long people spend working on it.

Now we have to describe a experiment by using a completely randomized design and learn the effect of the difficulty on the estimated time is by randomly assigning 15 students to a Group 1 of easy mazes and other 15 students to the second group 2 of hard mazes. And then we compare the time estimates of the two groups.

Answer:

I'm certain it's -x + 2

Step-by-step explanation:

The gradient is negative, and so it cannot have a positive m value. The Y intercept is at +2.

Answer: It’s 8

Step-by-step explanation: I just went to desmos

8^6 is actually 8×8×8×8×8×8.

So if you divide this by 8, you get 8^5 or 8×8×8×8×8

Well...

8×8×8×8×8=32768

Answer:

D

Step-by-step explanation:

Answer:

It contains 0 or 2 triangles.

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

Apply the keg rule to find x. The keg rule is given as:

Hypotenuse / leg = leg / part of the hypotenuse directly under the leg

Hypotenuse = 25

Leg = x

Part of the hypotenuse directly under the leg = 25 - 16 = 9

Plug in the values

25/x = x/9

Cross multiply

x*x = 25*9

x² = 225

x = √225

x = 15

9514 1404 393

Answer:

  a[n] = n^2 -3n -6

Step-by-step explanation:

First differences are ...

  -8 -(-8) = 0

  -6 -(-8) = 2

  -2 -(-6) = 4

Second differences are ...

  2 -0 = 2

  4 -2 = 2

Constant second differences indicate a degree 2 (quadratic) sequence.

The general formulation can be written as ...

  an = a1 +(n -1)(d1 +(n -2)/2(d2)) . . . . where a1 is the first term; d1 is the first first difference; d2 is the second difference

  = -8 +(n -1)(0 +(n -2)/2(2)) = -8 +(n -1)(n -2)

  an = n^2 -3n -6 . . . . . formula for the n-th term

Answer:

help

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

so 9 - x - 5x = 9 because the 9 means x so its making the number negative. so - 9 and the 9 at the end = 9 don't worry about that bc you can subtract 5x

Step-by-step explanation: so what I'm saying is theirs many ways to solve that its just you don't know the level or something similar to that I'm only helping because I'm bored btw.

Answer:

13

Step-by-step explanation:

16/1 -3/1 = 16-3

= 13answer is unknow no.

Answer:

J+22=X

Step-by-step explanation:

J represents Jared and since Xavier made 22 more baskets than Jared you add 22 onto Jared's amount of baskets to figure out how many Xavier made.

Answer:

She should order 10 orders of the 4-pizza deal from Peat's Pizza

Step-by-step explanation:

Peat's Pizza deal:

4 x 10 = 40 | 26 x 10 = 260 | so if you choose the Peat's Pizza deal then Tina would have to pay $260.

Pizza Palace deal:

10 x 4 = 40 | 75 x 4 = 300 | so if you choose the Pizza Palace deal then Tina would have to pay $300.

Hope this helps :D

y ≤ 5

i think this is the answer..

Answer:

its could be 946-410= 536 and 410+536=946

Answer:

Yes, x = 1/2 is a solution

Step-by-step explanation:

To see if it is a solution, plug it into the equation:

3(x + 1) = 3x + 3

3(0.5 + 1) = 3(0.5) + 3

3(1.5) = 1.5 + 3

4.5 = 4.5

Since this is true, x = 1/2 is a solution of the equation.

Answer:

Step-by-step explanation:

Points to remember while solving a system of linear equations,

1). If the equations have same slope, solution of the system will have no solution.

2). If both the equations are same, system will have infinitely many solutions.

3). If both the equations have different coefficients of variables, system of equations will have exactly one solution.

Question 11,

ax + 4y = 10 ------ (1)

-9x - 6y = -15

-3x - 2y = -5

-6x - 4y = -10

6x + 4y = 10 -------(2)

For infinitely many solutions,

Coefficients of variables will be same.

a = 6 will be the answer.

Option B is the correct option.

Question 12,

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

[tex]y=-\frac{3}{2}x-4[/tex] ----------(2)

Since, slopes of both the equations are same as [tex]-\frac{3}{2}[/tex], lines will be parallel.

System will have NO SOLUTION.

Question 13,

x + 3y = 6 ------- (1)

6x + 18y = 36

x + 3y = 6 -------- (2)

Both the equations are same.

Therefore, system of the equations will have infinitely many solutions.

2x - 3y = -3 ------(1)

4x + 6y = 18

2x + 3y = 9 -------(2)

Coefficients of the variables are different, therefore, one solution.

3x + 2y = 6 -------(1)

6x - 4y = 24

3x - 2y = 12 -------(2)

One solution.

8x - 10y = 6

4x - 5y = 3 -------(1)

-4x + 5y = 3

4x - 5y = -3 ------(2)

One solution.

4x + 10y = 16

2x + 5y = 8 --------(1)

10x + 25y = 40

2x + 5y = 8 --------(2)

Infinitely many solutions.

Answer:

B

Step-by-step explanation:

Answer:

approx. 6.523809523809524 hours

Step-by-step explanation:

Let us first find how long it takes Jane to drive 1 mile.

11/693 = approx. 0.015873015873016 hours to drive one mile.

She drives 411 miles, so we can multiply that by 411:

0.015873015873016 * 411 = approx. 6.523809523809524 hours

I hope this helps! :)

Answer:

6.52 hours

Step-by-step explanation:

693 miles divided by 11 hours = 63 miles per hour.

411 miles divided by 63 miles = 6.52380952 miles

Round to 2 decimal places: 6.52 hours

Answer:

x= 48.75

Step-by-step explanation:

Add like terms

2x+2x and

2-17

4x-15=180

Now subtract -15 to both sides get x by itself

4x-15+15=180+15

4x=195

Now divide by four to each side to get x by itself again

4x/4 = 195/4

x=48.75

Answer:

x=48.75

Step-by-step explanation:

2x+2+2x-17=180(Group like terms)

2x+2x+2-17=180

4x-15=180(Add 15 on both sides)

4x-15+15=180+15

4x=195(Divide both sides by 4 to find the value of x)

x=48.75

Answer:

114°

Step-by-step explanation:

First we have to calculate the value of c Then

3c - 84° + c = 180° <being co-interior angles >

4c - 84° = 180°

4c = 180° + 84

4c = 264°

c = 264° / 4

c = 66°

Now

<R = 3 * 66° - 84°

= 114°

<P = <R ( being opposite angles of rhombus )

<P = 114°

Hope it will help :)

Answer:

r = 6

Step-by-step explanation:

1 - r = -5

Subtract 1 on both sides

-r = -5 -1

-r = -6

Divide by -1 on both sides

r = 6

Answer:

7/8 is rational ;)(

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

7/8 is a ratio of whole numbers, which makes it rational.

Rational numbers are numbers that can be expressed as a fraction

Irrational numbers are numbers that cannot be expressed as a fraction

Answer:

The exponential model for the population is [tex]P(t) = 19000e^{0.048t}[/tex]

Step-by-step explanation:

The exponential model for the population has the following format:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

A population numbers 19,000 organisms initially and grows by 4.8% each year.

This means that [tex]P(0) = 19000, r = 0.048[/tex]

So

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]P(t) = 19000e^{0.048t}[/tex]

The exponential model for the population is [tex]P(t) = 19000e^{0.048t}[/tex]

Answer:

Total Proper Subsets = 2ⁿ - 1 = 2³ -1 =8-1 =7

Step-by-step explanation:

Basically the formula for,

No of subsets = 2ⁿ

Where n is number of elements in a set. As one subset is improper which is equal to the set itself so we have to find proper subsets which are = 2ⁿ - 1.