which of the following rational functions is graphed below

Functions can be represented using equations, graphs and tables.

The function is given as:

[tex]a(l) = \frac 12 l^2[/tex]

When l = 1, we have:

[tex]a(1) = \frac 12 \times 1^2[/tex]

[tex]a(1) = 0.5[/tex]

When l = 2, we have:

[tex]a(2) = \frac 12 \times 2^2[/tex]

[tex]a(2) = 2.0[/tex]

When l = 3, we have:

[tex]a(3) = \frac 12 \times 3^2[/tex]

[tex]a(3) = 4.5[/tex]

When l = 4, we have:

[tex]a(4) = \frac 12 \times 4^2[/tex]

[tex]a(4) = 8.0[/tex]

Represent the above results as a table, we have:

l          a(l)

1          0.5

2         2.0

3          4.5

4          8.0

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Answer:

23 Dimes and 8 Quarter.

Step-by-step explanation:

Important info:

31 Coins worth a total of $4.30

Note:

Dimes = .10

Quarters = .25

10 Dimes = 1.00

4 Quarter = 1.00

Question to Answer:

How many of each type of coin does she have?

Solution:

Lets get rid of the .30 cent in $4.30 so

.30 = 3 Dimes

Now $4.00,

4.00-1.00 of quarter

=

3.00 and 4 quarter..

Right now we have 3 Dimes and 4 Quarter = $1.30.

And that 7 Coins worth of $1.30.

3.00-2.00= 1.00 and 20 Dimes so now we have

23 Dimes and 4 Quarter.

And that add up to 27.

1.00-1.00 of Quarter = 4 Quarter.

so 31 worth a total of $4.30.

So that's 23 Dimes and 8 Quarter.

Check Work:

23 Dimes = $2.30 and 8 Quarter = $2.00

$2.30 + $2.00 = 4.30

Hence, The Correct Answer is 23 Dimes and 8 Quarter.

~[ RevyBreeze }~

Answer:

x = - 0.89

Step-by-step explanation:

x - 8.2 = - 9.09

x = - 9.09 + 8.2

x = - 0.89

Answer:

-0.89

Step-by-step explanation:

Answer: You just need to count the shaded squares, and if half of the square is shaded, it counts as 1. Therefore, the area is 42 square units.

Answer:

The answer will be 144

Step-by-step explanation:

So first you going to do is solve 3^2 and that will give you 9.

Then you multiply 12*9 and that will give you 108 then you add 36 and that will give you 144.

Answer:

144

Step-by-step explanation:

To solve this expression, use PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Follow this order to solve any type of expression with no variables.

The first applicable step of PEMDAS is exponents. So, do 3^2.

Next, multiply 12 x 9

Finally, add the last terms

So, the final answer is 144.

Answer:

The correct answare would be 3.54 x 10^22 N  

Answer:

85.5

Step-by-step explanation:

Answer:

(2*2 3+2) * (4*2 3-1/2)

(4*5) * (8*3-0.5) = (8*2.5)

20*200

4000

Answer: 8/19

Step-by-step explanation:

15/19 - 7/19 = 8/19

8/19 cannot be simplified further

Answer:

3 3/8 hours

Step-by-step explanation:

Add 1 3/4 and 1 5/8 = 27/8 = 3 3/8

Answer:

2^2 * 3^2 * 7

Step-by-step explanation:

Keep dividing by prime numbers:

2 ) 252

2)  126

3)    63

3)    21

        7

so 252 = 2*2*3*3*7

= 2^2 * 3^2 * 7

Answer:

  (a)  0.4307

  (b)  1.3906

Step-by-step explanation:

  [tex]\log_5{2}=\log_5{8^{\frac{1}{3}}}=\dfrac{1}{3}\log_5{8}=\dfrac{1.2920}{3}\approx0.4307[/tex]

__

  [tex]\log_5{\dfrac{75}{8}}=\log_5{3\cdot5^2\cdot8^{-1}}=\log_5{3}+2\log_5{5}-\log_5{8}\\\\=0.6826 +2-1.2920=1.3906[/tex]

Answer:

Radius = 0.0000035m

Step-by-step explanation:

0.000007m / 2 = Radius

Radius = 0.0000035m

Answer:

The parent graph is translated 2 to the left and up 6 units.

Step-by-step explanation:

The +2 moves the  parent 2 units to the left and the + 6 moves it up 6 units.

Answer:

Step-by-step explanation:

1) "The length of a rectangle is three more than twice the width." This can be written in a math sentence as  

L = 2W + 3

 where "twice the width" is 2W and "three more" is just adding 3.

 2) "Perimeter is 36 inches". Recall the formula for the perimeter of a rectangle

 P = 2W + 2L

  set the formula to 36 and that gives us our second equation: 36 = 2W + L

then use substitution do solve

Answer:

i think its 16

Step-by-step explanation:

Answer:

Their highest common factor is the number 9

Answer:

Step-by-step explanation:

When we read the question carefully, we get the ratio 330:5

=> 330:5 = 330/5 = 65/1 = 65:1

Conclusion:

Therefore, the ratio is equivalent to 65:1.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

Step-by-step explanation:

by the property of corresponding angles (2x +16) and (3x-12) will be equal

working uot from the equation 3x-12 = 2x+16 we get x=28

and we know that 3x-12 and y are supplementry as they form a linear pair

from that we will get the equation - 3x-12 + y = 180 and we know the value of x sowe will get y as 108

Answer:

D (You got it right.)

Step-by-step explanation:

Whenever the sign is facing them we will always shade the top. Then we have to find the slope which in this case would be 3(the number that is being multiplied by x. Lastly is the sign does not have a line under it or an equal sign. it won't be a straight line it will have little gaps.

Answer:

lets get started

Step-by-step explanation:

Answer:

1.25 mi

Step-by-step explanation:

First, we want to convert a yard into feet; recall 1 yard = 3 feet.

Then we want to divide that by the number of feet in a mile 1 mile = 5280feet.

So 2200*3 =6600, then divide by 5280

6600/5280 = 1.25 mi

2200 yard is 1.25 miles

There are 1.3 miles in 2,200 yards.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

2,200 yards ____(1)

1 mile = 1760 yards _____(2)

Now,

From (1) and (2),

1 mile = 1760 yards

Multiply 2,200/1760 on both sides.

2,200/1760 x 1 mile = 2,200/1760 x 1760 yards

1.25 miles = 2,200 yards

Rounding to the nearest tenths.

1.3 miles = 2,200 yards

Thus,

There are 1.3 miles in 2,200 yards.

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Answer:

Set up an equation

80 dollars is what we started off with

$7.76 per unknown pounds is the money you used

Jessica is left with 33.44 now

80 - 7.76x = 33.44

-80               -80

-7.76x = -46.56

/-7.76    /-7.76

x = 6 pounds

Answer:

7,308,630

Step-by-step explanation:

Calculated it.

Answer:

(−∞,5)

Step-by-step explanation:

-2x>-10

x<5

Answer:

x=10, y=20

Step-by-step explanation:

3x+10=5x-10

2x=20

x=10

4y=5x-10+3x+10

4y=8x

y=2x

y=20

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.

Answer:

no you're not wrong go with your gut

Step-by-step explanation:

Answer:

592

Step-by-step explanation:

0.008(74,000)

592

Hope this helps!!

If I am wrong please tell me I enjoy learning from my mistakes:)

Answer:

592

Step by step explanation:

0.8% = [tex]\frac{8}{1000}[/tex]

8 out of every 1000 trees are old

74 * 8 = 592