Select the correct answer.

Which function defines ?




A.


B.


C.


D.

The ratio of y:x should be constant for any value of x and y.

[tex] \frac{y}{x} = constant[/tex]

If go over every table, you'll find that this is true for the third one and that the ratio is r=50

The table showing the proportional relationship between x and y is the third one.

Two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant.

Given are four tables, giving values of x and y, we need to identify the table giving the relation between x and y which is proportional.

Table 1)

x = 1, 2, 3, 6

y = 1.5, 3, 6, 9

y/x = 1.5, 1.5, 2, 1.5 [not proportional]

Table 2)

x = 2, 4, 5, 6

y = 6, 12, 18, 21

y/x = 3, 3, 3.6, 3.5 [not proportional]

Table 3)

x = 1, 3, 4, 5

y = 50, 150, 200, 250

y/x = 50, 50, 50, 50 [proportional]

Hence, the table showing the proportional relationship between x and y is the third one.

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Answer:

Number  = 15.

Step-by-step explanation:

Given : If you multiply a number by 3 and then subtract 5, you will get 40.

To find : what is the number.

Solution : We have given if you multiply a number by 3 and then subtract 5, you will get 40.

According to question :

Let the number =  x

Multiply is with 3 = 3x

Subtract 5 from it we get 40 .

3x -5 = 40

On adding both sides by 5

3x = 45 .

On dividing both sides by 3

x =  15.

Therefore, Number  = 15.

Answer:

15

Step-by-step explanation:

3×y-5=40

3y-5=40

3y=40+5

3y=45

y=45÷3

y=15

Answer:

It's the same price.

Step-by-step explanation:

20% of $200 is $40. Either way, you get $40 off.

Answer:

x=

15

7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8x−

6

2

=x+12

8x+−3=x+12

8x−3=x+12

Step 2: Subtract x from both sides.

8x−3−x=x+12−x

7x−3=12

Step 3: Add 3 to both sides.

7x−3+3=12+3

7x=15

Step 4: Divide both sides by 7.

7x

7

=

15

7

x=

15

7

9514 1404 393

Answer:

Step-by-step explanation:

Plot the given points on the graph. Those that are on the (solid) boundary line or in the shaded area are solutions. Those in the white space are not solutions.

Answer:

Step-by-step explanation:

Given parameters:

   First sets of staircase  = [tex]\frac{1}{2}[/tex]

   Next sets  = [tex]\frac{1}{3}[/tex]

    Third sets  = [tex]\frac{1}{8}[/tex]

Unknown:

The least possible number of steps =?

Solution:

The least possible number of steps will be the lowest common multiples of these sets of steps.

We want fractions that will give whole numbers because realistically, one cannot take half a step of a step.

 So, the number of steps must be a multiple of denominators of the fractions given.

   Denominators are 2 , 3 and 8

     Their least common multiple is 24;

    This the lowest number by which 2, 3 and 8 can all divide.

So, the least number is 24 steps

Answer:

(True or False) The inequality |x + 1| < 0 has no solution.

Solution

The absolute value of a real expression is either positive or equal to zero. Therefore there is no value of x that makes |x + 1| negative and therefore |x + 1| < 0 is never true and the statement "The inequality |x + 1| < 0 has no solution" is TRUE.

Answer:

false

2,x2+x-3

2

x

2

−

x

−

3

=

0

Factor by grouping.

Tap for more steps...

(

x

+

1

)

(

2

x

−

3

)

=

0

If any individual factor on the left side of the equation is equal to  

0

, the entire expression will be equal to  

0

.

x

+

1

=

0

2

x

−

3

=

0

Set the first factor equal to  

0

and solve.

Tap for more steps...

x

=

−

1

Set the next factor equal to  

0

and solve.

Tap for more steps...

x

=

3

2

The final solution is all the values that make  

(

x

+

1

)

(

2

x

−

3

)

=

0

true.

x

=

−

1

,

3

2

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Using the trigonometric identities

tan(90 - x) = cotx , cotx = [tex]\frac{1}{tanx}[/tex]

Given

tan1tan2tan3....................... tan87tan88tan89

= tan1tan2tan3............... tan(90-3)tan(90-2)(tan90 - 1)

= tan1tan2tan3.............. cot3cot2cot1

= tan1cot1tan2cot2tan3cot3 ........................

= 1 × 1 × 1 ×....................... × 1

= 1

Step-by-step explanation:

3x+5=44

3x=44-5

3x=39

x=39÷3

x=13

Answer:

What is the question?

Step-by-step explanation:

You did not attach a file, and all you posted was a statement, not a question. Please edit the question or I cannot help. Sorry......

Answer:

3(x-7) – x=2x-21 ( the equation)

--> infinitely many solutions

Step-by-step explanation:

The solution of the equation is infinitely many solutions, the correct option is C.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

We are given that;

Equation 3(x-7) – x=2x-21

Now,

To solve the equation, we need to simplify both sides and isolate x. We can do this by following these steps:

3(x-7) – x = 2x - 21 Expand the parentheses by multiplying 3 with x and -7:

3x - 21 - x = 2x - 21 Combine like terms on the left side by subtracting x from 3x:

2x - 21 = 2x - 21 Subtract 2x from both sides to eliminate x:

-21 = -21 This equation is always true, regardless of the value of x. This means that the equation has infinitely many solutions. Any value of x will satisfy the equation

Therefore, the answer of the given equation will be  infinitely many solutions

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The set of data 6, 2, 2, 2  will have the least dispersion from its mean.

From four sets of data, we take the mean of 6,2,2,2

[tex]\rm mean =\dfrac{ Sum \ of\ data}{Number \ of\ data}[/tex]

So the mean will be

[tex]\rm mean =\dfrac{ 6+2+2+2}{4}=\dfrac{12}{4} =3[/tex]

So the mean of the data (6,2,2,2) is 3 which has the least dispersion from its every data as compared to the other data

Thus the set of data 6, 2, 2, 2  will have the least dispersion from their mean.

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Answer:

c: 6,2,2,2

Step-by-step explanation:

Step-by-step explanation:

We have our question.

f + 2.5= 3f + 7.24

Then you combine like terms that taking the coefficients apart.

That is,

NOTE: WHEN TAKING A NUMBER ACROSS AND EQUAL SIGN THE SIGN CHANGES, E.G - TO + .

f - 3f = 7.24 - 2.5

-2f = 4.74

Divide both sides by coefficient of f which is -2

-2f = 4.74

-2 -2

f = 8.49

Answer:

Step-by-step explanation:

We have our question.

f + 2.5= 3f + 7.24

Then you combine like terms that taking the coefficients apart.

That is,

NOTE: WHEN TAKING A NUMBER ACROSS AND EQUAL SIGN THE SIGN CHANGES, E.G - TO + .

f - 3f = 7.24 - 2.5

-2f = 4.74

Divide both sides by coefficient of f which is -2

-2f = 4.74

-2 -2

f = 8.49

Answer:

The circumference of a circle with diameter 80 is 251.3

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

By the property of intersecting chords.

BE*ED = AE*EC

[tex] \implies \: x(3x) = 4(3) \\ \\ \implies \:3 {x}^{2} = 12 \\ \\ \implies \: {x}^{2} = \frac{12}{3} \\ \\ \implies \: {x}^{2} = 4 \\ \\ \implies \:x = \pm \sqrt{4} \\ \\ \implies \:x = \pm \: 2 \\ x \: can \: not \: be \: negative \\ \\ \implies \:x = 2[/tex]

Answer:

X = 9.4868

Step-by-step explanation:

Use the pythagorean theorem

a squared plus b squared equals c squared

in this case c equals x

A&b are the side and base length of a right triangle

Answer:

The vertex form of the quadratic:    y = (x - 1)² + 2

Coordinates of vertex:    (1, 2)

Step-by-step explanation:

[tex]y=x^2-2x+3\\\\y=x^2-2x+1+2\\\\y=(x-1)^2+2[/tex]

The vertex form of an equation of the parabola is:  f(x) = a(x - h)² + k

where (h, k) is the vertex. So:

x - h = x - 1   ⇒   h = 1

+ k = +2     ⇒  k = 2

Answer:

1. 3.46410162

2. 7.07106781

3. 0.08641975

width x

lenght : x + 11

area = x * (x+11) = 60 cm²

x² + 11x - 60 = 0

Δ = 11² - 4*1*(-60) = 121 + 240 = 361 = 19²

x' = (-11 - 19) / 2 = not possible

x" = (-11 + 19) / 2 = 4

witdh = 4

lenght = 4+11 = 15

Answer:

ok bet

Step-by-step explanation:

how would u like me to answer it pls

Answer:

unit rate = 0.9 miles per hour

Step-by-step explanation:

Rate per hour of walking is calculate by = distance moved in miles/ time taken in miles

_________________________

given

distance = 3/5 of a mile = 3/5 miles

time = 40 minutes

we have to find time in hours

60 minutes = 1 hour

40 minutes = 1/60 *40 hours = 2/3 hours

thus

unit rate = (3/5 miles)/ (2/3 hours ) = (3*3)miles/(5*2) hour = 9/10 miles per hour

unit rate = 0.9 miles per hour

Answer:

1485

Step-by-step explanation:

sorry if im wrong

Answer:

113.0 in

Step-by-step explanation:

[tex]a = \pi \: r {}^{2} \\ \\ = 3.14( \frac{12}{2} ) {}^{2} \\ \\ a = 113.0 \: in {}^{2} [/tex]

Answer:

60

Step-by-step explanation:

m(ADB) + m(BDC) = 90°

(3x+9) + (2x -4) = 90°

5x + 5 = 90°

5x = 85

5x/5 = 85/5

x = 17

m(ADB) = 3x + 9

3.17 + 9 = 51 + 9 = 60

Hope this helps ^-^

Answer: 60°

Step-by-step explanation:

Looking at the figure, we know that the angles add up to 90°. We add both equations and solve for x.

3x+9+2x-4=90          [combine like terms]

5x+5=90                    [subtract both sides by 5]

5x=85                        [divide both sides by 5]

x=17

Now that we know x, we can plug it into ADB to find the angle.

3(17)+9                      [multiply]

51+9                          [add]

60

Now, we know that ADB is 60°.

Answer:

y = − x + 9

Step-by-step explanation:

Plz Mark brainliest!

Answer:

The answer would be y=-x+9

Step-by-step explanation:

Fill in - and then 9

"Important put in negative symbol without 1 just negative symbol".

Answer:

Cherokees were forced to leave their homes. There are usually peaceful, but this angered them, so naturally, they fought back and that's why the hostilities escalated.

Step-by-step explanation:

Answer:

4.375

Step-by-step explanation:

2.5mil = 1hr

xmil = 1.75hr

x = 1.75 * 2.5

x = 4.375

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