Can someone explain to me how I can find the domain and range of a rational graph?
example:

Answer:

a) 200 meters = 3.125 meters/seconds

b) 400 meters = 2.649 meters per second

c ) 1000 meters = 2.320 meters per second

Step-by-step explanation:

The formula for Average speed = Distance/ Time

Monica swims the 200, 400, and 1,000 meter freestyle swimming events.

We are to calculate: average speeds in all these events (meters/second).

At the last swimming meet she swam

For the 200m

Time 1 minute 4 seconds

60 seconds = 1 minutes

Hence, Time = 60 + 4 = 64 seconds.

Average speed = 200m/64 seconds

= 3.125 meters/seconds

For 400m

Time = 2 minutes 31 seconds

1 minute = 60 seconds

2 minutes = 60 × 2 = 120 seconds

Total time = 120 + 31 seconds = 151 seconds

Hence, Speed = 400m/151 seconds

= 2.649 meters per second

For 1,000 meter

Total time = 7 minutes 11 seconds.

1 minute = 60 seconds

7 minutes = 60 × 7 = 420 seconds

Total time = 420 + 11 seconds = 431 seconds

Hence, Speed = 1000m/431 seconds

= 2.3201856148 meters per second

Approximately = 2.320 meters per second

Therefore her speed were

a) 200 meters = 3.125 meters/seconds

b) 400 meters = 2.649 meters per second

c ) 1000 meters = 2.320 meters per second

Answer:

3.125m/s

2.469 m/s

2.320 m/s

Step-by-step explanation:

Average speed = total distance / total time

60 seconds = 1 minute

Converting minute into second = (1 x 60) + 4 = 64 seconds

(2 x 60) + 31 = 151 seconds

(7 x 60) + 11 = 431 seconds

Average speed = 200 meters / 64 seconds = 3.125m/s

Average speed = 400 meters / 151 seconds = 2.469 m/s

Average speed = 1000 meters / 431 seconds = 2.320 m/s

Answer:

m = [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

A( [tex]x_{1}[/tex] , [tex]y_{2}[/tex] )

B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

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

~~~~~~~~~~

(0, 2)

(7, 7)

m = [tex]\frac{7-2}{7-0}[/tex] = [tex]\frac{5}{7}[/tex]

Answer:

D.

Step-by-step explanation:

You can see that the first value(initial) of y is 20 and the difference of the preceding values is 10 but it is decreasing thus -10

Answer:

3^4x-5=1/27^2x+10

We move all terms to the left:

3^4x-5-(1/27^2x+10)=0

Domain of the equation: 27^2x+10)!=0

x∈R

We get rid of parentheses

3^4x-1/27^2x-10-5=0

We multiply all the terms by the denominator

3^4x*27^2x-10*27^2x-5*27^2x-1=0

Wy multiply elements

81x^6-270x^2-135x^2-1=0

We do not support expression: x^6    

Step-by-step explanation:

Answer:

equation: b+(b-4)=348

Step-by-step explanation:

B+t=348

b+ 1(b-4)=348

b +b -4=348

this is if u want what b is

2b-4=348

2b-4+4=348+4

2b= 352

2b÷2 = 352÷2

b=176

Answer:

Step-by-step explanation:

Answer:

x = [tex]\frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]

Ignore the capital A for this equation when it is ax^2+bx+c=0

Answer: that is the answer to both

Step-by-step explanation:

Answer:

c. -70

Step-by-step explanation:

subtract 50 from 120 you get 70, and since we are below sea level it is negative

Answer:

58.333....

Step-by-step explanation:

8cm=50

1cm so 25/3

8.3333333333

Answer:

56.25 or 56 1/4

Step-by-step explanation:

If 4 cm is equal to 25 miles then we can divide 25 by 4 to see how many miles is in 1 cm.

25 divided by 4 is 6.25 or 6 1/4

Therefor 1 cm is equal to 6.25 miles.

Now we multiply 9 by 6.25 to get 56.25

Answer:

Step-by-step explanation:

here you go mate :)

step 1

2(x + 4) = -6  solving for x

step 2

2(x + 4) = -6  simplify by distributing

2x+8=-6

step 3

2x+8=-6  subtract 8

2x=-14

step 4

2x=-14  look for the number that can divide them both like 2

2x/2=-14/2

answer

x=-7

Answer:

the thrid one

Step-by-step explanation:

The table that shows a function that is decreasing only over the interval (-1, oo) is table 3

For a table to show a decreasing interval, then the table values must reduce as the x value increase

The interval (-1, oo) means that, -1 is exclusive of the x values.

So, we start from x > -1

The first table shows an increasing function for x > -1

The second table shows an increasing and decreasing function for x > -1

The third table shows a decreasing function for x > -1

The last table shows a decreasing function for x > -1 but increases at other values

Hence, the table that shows a function that is decreasing only over the interval (-1, oo) is table 3

Read more about continuous functions at:

https://brainly.com/question/9412728

Answer:

a) [tex]f(2) = 5[/tex], b) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex], c) [tex]f^{-1} (7) = 3[/tex]

Step-by-step explanation:

a) We evaluate the function at [tex]x = 2[/tex]:

[tex]f(2) = 2\cdot (2) + 1[/tex]

[tex]f(2) = 4+1[/tex]

[tex]f(2) = 5[/tex]

b) First, we determine the inverse of the function by algebraic means:

1) [tex]y = 2\cdot x + 1[/tex] Given

2) [tex]y +(-1) = 2\cdot x + [1+(-1)][/tex] Compatibility with addition/Associative property

3) [tex]y + (-1) =2\cdot x[/tex] Existence of additive inverse/Modulative property

4) [tex]2^{-1}\cdot [y+(-1)] = (2\cdot 2^{-1})\cdot x[/tex] Compatibility with multiplication/Commutative and associative properties

5) [tex][y+(-1)]\cdot 2^{-1} = x[/tex] Existence of multiplicative inverse/Modulative and commutative properties

6) [tex]x = [y+(-1)]\cdot 2^{-1}[/tex] Symmetry property of equality

7) [tex]x = \frac{y-1}{2}[/tex] Definitions of subtraction and division

8) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex] [tex]x = f_{-1} (x)[/tex]/[tex]y = x[/tex]/Result

c)  Now we evaluate the expression obtained on b) at the given number:

[tex]f^{-1} (7) = \frac{7-1}{2}[/tex]

[tex]f^{-1} (7) = 3[/tex]

Answer:

There were 60 teachers.

Step-by-step explanation:

☆We can use proportion to solve this!

[tex] \frac{3 \: teachers}{125 \: pupils} = \frac{x}{2500 \: pupils} \\ \\ \frac{125x}{125} = \frac{7500}{125} \\ \\ x = 60[/tex]

Answer:

6

Step-by-step explanation:

4 times 8 = 32. 56 - 32 = 24. 24 divided by 4 = 6.

Answer:

A.

Step-by-step explanation:

You need to solve for p on both inequalities.

4 ≤ p - 8

12 ≤ p

p - 14 ≤ 2

p ≤ 16

This means that p is greater than or equal to 12 but less than or equal to 16.

12 ≤ p ≤ 16

Therefore, the answer is A.

Answer:

6.75 or 6and 3/4

Step-by-step explanation:

-2x - (-18x + 126) = -18

-2x + 18x - 126 = -18

16x = -18 + 126

16x = 108

x = 6.75 OR 6 3/4

Pls makr brainliest tysm

Answer:

There are no solutions

Step-by-step explanation:

Answer:

?? im not very good at math

Step-by-step explanation:

Answer:

you didnt add a picture but i assume you want the percentage of tax which would be 8%

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

7x+10=3x+13

Step 1: Subtract 3x from both sides.

7x+10−3x=3x+13−3x

4x+10=13

Step 2: Subtract 10 from both sides.

4x+10−10=13−10

4x=3

Step 3: Divide both sides by 4.

4x/4=3/4

x=3/4

Answer:

I think a is 9 cause 9+ 8 is 17 ??

The value of A,B,C,D and E will be 23,25,7 15 ,and 9 respectively.

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.

If we make the sum of each side diagonally then the sum should be 48.

So,

D+ 16 + 17 = 48

D = 15

And

15 + B + 8 = 48

B = 25

And,

25 + 16 + C = 48

C = 7

And,

8 + A + 17 = 48

A = 23

And,

15 + E + 24 = 48

E = 9

Hence "The value of A,B,C,D and E will be 23,25,7 15 ,and 9 respectively".

For more information about summation

brainly.com/question/10777222

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Answer:

y=-0.25x +6

Step-by-step explanation:

3=(-0.25)12+c

3=-3+c

6=c

Answer:

I solved it for u!

Hope ot helps!!!

Answer:

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = ²/₅x + 1    ⇒     m₁ =  ²/₅

²/₅m₂ = -1        ⇒   m₂ = -⁵/₂

So, any line with slope m =  -⁵/₂ will be perpendicular to y = ²/₅x + 1  

Answer:

The building is 152 cm long.

Step-by-step explanation:

-We can solve using proportion!:

[tex]\frac{2 cm}{1 meter} = \frac{x}{76 meters} \\\\\frac{1x}{1} =\frac{152}{1} \\\\\\x = 152[/tex]

Answer: 3

Step-by-step explanation:

*Slope formula*

Y2 - Y1 / X2 - X1

-1 - (5) / -2 - (0) = -6/-2 = 3

Answer:

Step-by-step explanation:

What is the value of 1 − 2sin^2(105°)?

Given the expression

1 − 2sin²(105°)

= 1 - 2(sin105)²

= 1 - 2(0.9659)²

= 1 - 2(0.9330)

= 1 - 1.8660

= 0.8660

0.8660 can also be expressed as √3/2

Hence  1 − 2sin²(105°) is  √3/2

Answer: D

Step-by-step explanation:

It IS sqrt3/22