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3. Jenny is having a party. She has one

large container of soda with 179 ounces

in it. A second container holds 128

ounces, but half of it has already been

used. If there are 12 people at the party,

how much soda can each person have?

1

Answer:

[tex]x \rightarrow + \infty \: \Rightarrow \: y \rightarrow + \infty \\ x \rightarrow - \infty \: \Rightarrow \: y \rightarrow - \infty[/tex]

x → ∞ y → ∞ and as  x →- ∞ y → -∞  is the end behavior of the graph of the polynomial function y = 10x⁹ – 4x

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The meaning of end behavior is how the function ‘y’ (in this case) moves when x tends towards both ∞ and - ∞.

As x → ∞ y → ∞.

This is apparent from the upward movement of the graph of the function y=10x⁹ –4x

As x →- ∞ y → -∞

This inference is also drawn from the above graph i.e. as x values become more negative the graph of y also travels towards infinity i.e. southward on the LHS of the above graph.

Even though the graph of the function remains flat in between x = -4 to x = 4.

After these points, the graph moves towards infinity exponentially.

Hence, x → ∞ y → ∞ and as  x →- ∞ y → -∞  is the end behavior of the graph of the polynomial function y = 10x⁹ – 4x

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Answer:

H

Step-by-step explanation:

Step-by-step explanation:

x³⁰ - 2x³ + 5 / x + 1 = x²⁹-x²⁸+x²⁷-x²⁶+x²⁵ ... -x⁴+x³

- x³⁰ + x²⁹ -3x²+3x-3

-----------------------

0 - x²⁹-2x³

- - x²⁹-x²⁸

-----------------------

0 x²⁸-2x³

...

- -x⁵-x⁴

----------------------

0 x⁴-2x³

- x⁴+ x³

-----------------------

0 -3x³+5

- -3x³-3x²

-----------------------------

0 3x²+5

- 3x²+3x

-----------------------------------

0 -3x+5

- -3x -3

------------------------------------

0 + 8

the remainder is 8

Answer:

bk

Step-by-step explanation:

jlvlivh

Answer:

dunno what the other guy said but I'm pretty sure the answer is -12/11, or -1.09.

Answer:

The choice D) 14.7

Step-by-step explanation:

[tex] {(5.7)}^{2} + {(13.5)}^{2} = {x}^{2} \\ 32.49 + 182.25 = {x}^{2} \\ {x}^{2} = 214.74 \\ x = 14.65 \\ x = 14.7[/tex]

I hope I helped you^_^

The general equation for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where the center is (h,k) and the radius is r.

The equation we are given is:

[tex](x-2)^2+(y+3)^2=80[/tex]

From this, the center is (2,-3), and the radius is [tex]\sqrt{80}[/tex], or [tex]4\sqrt{5}[/tex].

Let me know if you have any questions, thanks!

Answer:

C

Step-by-step explanation:

I can't say for sure, but I am confident that is the right answer.

Answer:

5/9-2/12=?

9x8=72

5x8=40

12x6=72

2x6=12

40/72 - 12/72 = 28/72

28/4=7

72/4=18

28/72=7/18

Answer:

2 2/15 hours from noon the stock prices will be the same.

Step-by-step explanation:

Sorry if it's incorrect.

Answer:

C

Step-by-step explanation:

Segment ad is 4 and ae is 2

Answer:

113. x = √65 cm

114. x= 7.10 cm

Answer:

option C 5×10-6 is right answer

Answer:

[tex]c \: ) \: 5 \times 10 - 6[/tex]

c is the answer

Answer:

The answer to 7019 - 1135 is 5884

Answer:

pm*pn = p^2mn. But if p=1, then it would just be pm*n

Step-by-step explanation:

Hope this helps

Srry if it doesn't

Answer:

Step-by-step explanation:

y=-2x²+6

x=0,y=6

x=1,y=-2(1)²+6=-2+6=4

x=-1,y=-2(-1)²+6=-2+6=4

x=2,y=-2(2)²+6=-8+6=-2

x=-2,y=-2(-2)²+6=-8+6=-2

x=3,y=-2(3)²+6=-18+6=-12

x=-3,y=-2(-3)²+6=-18+6=-12

................................................

...............................................

................................................

plotting the points (0,6),(1,4),(-1,4),(2,-2),(-2,-2),(3,-12),(-3,-12),...

we get the following graphs.

Answer:

216 inches or 18 feet

Step-by-step explanation:

6.75*32=216 inches or 18 feet

Answer:

[tex]f( - 1) = - 2[/tex]

Step-by-step explanation:

[tex]f(x) = - 6 {x}^{2} + 3x + 7 \\ f( - 1) = - 6 {( - 1)}^{2} + 3( - 1) + 7 \\ = - 6(1) + ( - 3) + 7 \\ = - 6 - 3 + 7 \\ = - 2[/tex]

I hope I helped you^_^

The hourly fee is $3.00 per hour.

It is required to find the hourly fee for the rototiller.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let h represents the hourly fee.

Let C be the total charge and t be the rental time in hours.

C = ht + 43

Putting the given values into the equation, we get:

64 = 7h + 43

7h = 21

h = 3

Therefore, the hourly fee is $3.00 per hour.

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Answer:

$34.5

Step-by-step explanation:

15% of $30 is 4.5

So 30+4.5=34.5

15 / 100 × 30 = 4.5

30 + 4.5 = 34.5

The answer is 34.5

Answer:

x = 7

Step-by-step explanation:

x² - 5x - 14 = 0

(x + 2)(x − 7) = 0

x = -2, 7

Answer:

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Answer:

A= 56

E= 59

Step-by-step explanation:

All triangle are 180 degrees so

A.

71 + 53 = 124

180- 124 = 56

B.

70 + 51 = 121

180 - 121 = 59

Hope this helps

Answer:

Step-by-step explanation:

its 1/3, 1 to right and 3 up

Answer:

The answer is 'D'

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We know that [tex]\sqrt{b}=b^{1/2}[/tex].

We also know that [tex](a^b)^c=a^{bc}[/tex].

We can combine these facts to get [tex](\sqrt{b})^2=(b^{1/2})^2=b^{1/2*2}=b^{1}=b[/tex].

So, the answer is [tex]\boxed{A}[/tex] and we're done!

Note: the non-negative part or the equation comes from the fact that you assume the square root of a negative number doesn't exist. You will change this assumption later in the year, or in further years.

Answer:

0

Step-by-step explanation:

The equation if I read this correctly is:

(7 / 7x⁶+4) / 7x⁶

Using x = 0 you would have:

[7 / (7(0)⁶+4)] / 7(0)⁶

(7 / 0 +4) / 0

(7/4) / 0 which is the same as 7/4 x 0  = 0