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jolli1 [7]
2 years ago
9

What is the quotient? x-3) 4x2+3x+2

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
5 0
4x+15
Divisor = x - 3
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Multiply the following rational expressions and simplify the result
GarryVolchara [31]

Answer:

Step-by-step explanation:

We have to solve the given expression,

\frac{9y-33y^2-3y^4}{100-49y^2}.\frac{7y^2+17y+10}{14y^2+28y}

\frac{9y-33y^2-3y^4}{100-49y^2}.\frac{7y^2+17y+10}{14y^2+28y} = \frac{-y(-9+33y+3y^3)}{100-49y^2}.\frac{7y^2+17y+10}{14y(y+2)}

                                   = \frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{7y^2+10y+7y+10}{14y(y+2)}

                                   = \frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{y(7y+10)+1(7y+10)}{14y(y+2)}

                                   = \frac{-y(-9+33y+3y^3)}{(10-7y)(10+7y)}.\frac{(y+1)(7y+10)}{14y(y+2)}

                                   = \frac{-3y(-3+11y+y^3)}{(10-7y)}.\frac{(y+1)}{14y(y+2)}

                                   = \frac{-3(-3+11y+y^3)}{(10-7y)}.\frac{(y+1)}{14(y+2)}

                                   = \frac{3(3-11y-y^3)(y+1)}{(10-7y)(14(y+2)}

3 0
3 years ago
During a football game a concession stand sold a family three hamburgers and two hotdogs for a total of $13 it's sold another fa
guajiro [1.7K]

Answer:

The price of each hamburger is $3

The price of each hot dogs is $2  .

Step-by-step explanation:

Given as :

The total price of 3 hamburger and 2 hot dogs = $13

The total price of 2 hamburger and 5 hot dogs = $16

Let The price of each hamburger = $x

Let The price of each hot dogs = $y

<u>Now, According to question</u>

3 x + 2 y = 13              .........A

2 x + 5 y = 16              .......B

Now, Solving to eq A and B

3 × (2 x + 5 y ) - 2 × (3 x + 2 y ) = 3 × 16 - 2 × 13

Or, (6 x + 15 y) - (6 x + 4 y) = 48 - 26

Or, (6 x - 6 x) + (15 y - 4 y) = 22

Or, 0 + 11 y = 22

∴  y = \dfrac{22}{11}

i.e y = $2

so, The price of each hot dogs = y = $2

<u>Now, Put the value of y into eq B</u>

i.e 2 x + 5 y = 16

or, 2 x + 5 × 2 = 16

or, 2 x = 16 - 10

or, 2 x = 6

∴  x = \dfrac{6}{2}

i.e x = $3

So, The price of each hamburger = x = $3

Hence, The price of each hamburger is $3 and  The price of each hot dogs is $2  . Answer

3 0
3 years ago
Use long division to find the quotient below.<br> (x2 + 3x - 18) + (x-3)
Vanyuwa [196]

Answer:

6x-21

Step-by-step explanation:

6 0
3 years ago
Evaluate the series 9 + 3 + 1 + . . .
brilliants [131]
Keep dividing by 3 to get the rest of the answers.
7 0
2 years ago
Read 2 more answers
Use the simple interest formula method to calculate the future value of an annuity with annual annuity payments of $1200 at 4% i
nikitadnepr [17]

Answer:

Step-by-step explanation:

A = $2,629.35
A = P + I where
P (principal) = $1,200.00
I (interest) = $1,429.35

8 0
2 years ago
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