Graphing rational functions

Answer: The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 -12 0 -6 1 0 g(x) g(x) = 2x + 6 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

PART B: y=mx +b is slope intercept form of linear equation where m=slope and b =y intercept

slope for line for function f(x) =-5-(-1) / -1-0 =-5+1/-1=-4/-1=4  

y = 4x+b

3=4(1)+b

3=4+b

-1 =b

y=4x-1

f(x)=4x-1     slope = 4

g(x)=2x -7    slope = 2

b) y intercept for f(x) is -1

and g(x) is -7

so f(x) is having greater y intercept

Answer: irrational

Step-by-step explanation:

[tex]\sqrt{103}[/tex] is an irrational number because it is not a perfect square. Irrational numbers keep on terminating, so the answer to the question is irrational.

Hope this helps you!

Answer:

$2,833.59

Step-by-step explanation:

1 $10,000.00 $10,000.00 $511.64 $0.00 $10,511.62 $10,000.00

2 $10,000.00 $10,511.62 $537.79 $0.00 $11,049.41 $10,000.00

3 $10,000.00 $11,049.41 $565.30 $0.00 $11,614.72 $10,000.00

4 $10,000.00 $11,614.72 $594.23 $0.00 $12,208.95 $10,000.00

5 $10,000.00 $12,208.95 $624.63 $0.00 $12,833.59 $10,000.00

Answer:

How do i take questions down like this one?

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

3=1+1+1,

1+1+1+1=4 :p

Answer:

$45,337.5

Step-by-step explanation:

1. 2.5 * 5 = 12.5

2. $40,300 + 12.5%

Hope This Helps :)

Answer:

5 seconds per foot

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Discount

Sale price

Answer:

I the answer is number 3

x(x-7)+4(x-7)

x²-7x + 4x-28

=x²-3x-28

(x+4)(x-7)

x²-7x+4x-28

=x²-3x-28

(x-7)(x+4)

x²+4x-7x-28

=x²-3x-28

x2 – 3x – 28

the factored form is

=(x+4)(x-7)

Answer:

3002

Step-by-step explanation:

i hope i helped

Answer:

49,36,85

Step-by-step explanation:

c in step 4 comes from step 3... 49+36

a and b in step 3 come from step 2... in the same (you've got a - b and then 7 squared - 6 squared, so a is 49 and b is 36

Answer:

25

Step-by-step explanation:

50% (1/2) of 50 is 25

50-25=25

Answer:

i 100% sure it 25

Step-by-step explanation:

Answer:

first one is 32

the second one is 53

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let RS = x , then PS = x²

2x² + 2x = 84

x² + x - 42 = 0

(x + 7)(x - 6) = 0

x = 6

PQ and RS are 6

QR and SP are 36

Answer:

b

Step-by-step explanation:

Answer:

$177.93

Step-by-step explanation:

Answer:

The check is 177.93$

Step-by-step explanation:

I did 25.64+152.29= 177.93

U can check it by doing -25.64+177.93

Answer:

3 counting ALL VOWELS, or, 2 counting no double ups

Step-by-step explanation:

vowels - a, e, i, o, u

Answer:

b angle 13

Step-by-step explanation:

I'm pretty sure

Answer:

a). ∠5

Step-by-step explanation:

both angles ∠7 and ∠5 together add up to 180°

Answer:

y=0x-5

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Answer:

First figure out how many cups are in a gallon. 16 .

Next multiply 16×3= 48

Finally you divide price per cup or 20.16/ 48.

The cost is .42 cents per cup.

Answer:

m=-8/11

Step-by-step explanation:

[tex]\frac{Y2-Y1}{X2-X1} =\frac{y}{x}[/tex]

[tex]\frac{16-8}{9-20} =\frac{-8}{11}[/tex]

Answer:

1. width = 51 m

2. length = 84 m

Step-by-step explanation:

So remember, the area is (length * width).

It is given that the length is 97, and the area is 4947.

So plug this into a formula:

length * width = area

97 * width = 4947

Solve using inverse operations;

97 * width = 4947

/97               /97

width = 51m

The perimeter of a rectangle can be found by doing, (2 * (length + width)).

The width is given, it is 68m. The perimeter is also given, 304m. So just form an equation using this information:

2 * ( length + width) = perimeter

2 * (length + 68 ) = 304

Distribute;

2 * ( length + 68) = 304

2 length + 136 = 304

Inverse operations;

2length + 136 = 304

               -136    -136

2length = 168

/2             /2

length = 84m

Answer:

The answer for number 1 is  width = 51 m  

The answer for number 2 is length = 84 m

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf 5x(3-2x^2)}[/tex]

Step-by-step explanation:

[tex]\sf 15x-10x^3\\\\Greatest Common Factor = 5x\\\\So, We'll \ take \ 5x \ common\\\\= 5x ( 3-2x^2)\\\\Thus, this \ is \ the \ factorized\ form\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer: 325

Explanation:

Let the number of adult tickets be x

( since there are an unknown amount of tickets for adults, we already know how many student tickets there are)

Let the number of student tickets be x+60

710=x+x+60

710=2x+60

 -60        -60

650=2x

650/2

= 325

Adult tickets=325

Student tickets=385

Answer:

6,7

Step-by-step explanation:

Answer (3dp):

107.058

Step-by-step explanation:

(image is explanation)

Answer:

Step-by-step explanation:

A.

slope of f(x) remember that m=rise /run and see how you get from point (0,0) to (1,3) for example

m= rise 3/ run 1= 3

slope of g(x) you find by comparing it to y=mx+b wher m is slope and b is intercept so g(x) slope is m = 7

Slope of f(x) is 3 and slope of g(x) is 7 so g(x) go upward  faster.

B.

again compare g(x) =7x+2 with y=mx+b where b is the y-intercept

g(x) has y-intercept at (0,2)

we can see from the table that at x=0 the y-intecept is 0

f(x) has y-intercept at (0, 0)

g(x) has a greater y-intercept point

Answer:

The value is  [tex]P( 390 < X < 590) = 68.3 \%[/tex]    

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 490[/tex]

    The standard deviation is  [tex]\sigma = 100[/tex]

Generally the proportion of seniors scored between 390 and 590 on this SAT test is mathematically represented as

     [tex]P( 390 < X < 590) = P( \frac{390 - 490 }{100} < \frac{\= x - \mu }{\sigma} < \frac{590 - 490 }{ 100} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

    [tex]P( 390 < X < 590) = P( -1 < Z < 1 )[/tex]

=>  [tex]P( 390 < X < 590) = P(Z< 1 ) - P(Z < - 1 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1 and  -1  is  

[tex]P(Z< 1 ) = 0.84134[/tex]

and

[tex]P(Z< - 1 ) = 0.15866[/tex]  

   [tex]P( 390 < X < 590) =0.84134 - 0.15866[/tex]

=> [tex]P( 390 < X < 590) = 0.6827[/tex]

Generally the percentage of seniors scored between 390 and 590 on this SAT test is mathematically represented as

=> [tex]P( 390 < X < 590) = 0.6827 *100[/tex]    

=> [tex]P( 390 < X < 590) = 68.3 \%[/tex]    

Answer:

The price ticket that we know is the adult ticket. The coupon shows that the ticket is good for $28.00. In the redd it shows that you save 4 dollars, so just add 4 to the 28 and the ORIGINAL price of the adult ticket is $32.00.

To find the price of the children's tickets, start with subtracting $28 (this is the price of the adult ticket) from the total of $76 (this is the total number of all the tickets combined).

76 - 28 = 48

Now divide that by 2

48/2 = 24$

So it was $24 per child

Answer:

124345

Step-by-step explanation: