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3 years ago

Expand and simplify (3x+4)(2x+3)

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

6 0

Answer:

answer is 6x^2+17x+12

Step-by-step explanation:

3x(2x+3)+4(2x+3)=6x^2+9x+8x+12=6x^2+17x+12

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A woodworker spends a total of 162 hours making 24 birdhouses. He spends the same amount of time on each birdhouse. How many hou

Julli [10]

Answer:

6.75 hours

Step-by-step explanation:

162 divided 24

6 0

3 years ago

Read 2 more answers

4(4b-8)-3/8<br> Please help i have no idea what to do

Ksivusya [100]

Answer:

$4(4b - 8) - \frac{3}{8} \\ 16b - 32 - \frac{3}{4} \\ \frac{64b - 128 - 3}{8} \\ \frac{64b - 131}{8}$

hope this will help you

7 0

2 years ago

How do you solve x/-11 >= -9?

marta [7]

You can cross multiply
-11(-9) x *( 1)
99=1x
99=x
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3 0

4 years ago

Hello does anyone know how to solve this?

Radda [10]

Hello from MrBillDoesMath!

Answer: 2 ^ -4 ( = 1/16)

Discussion:

- 4 log {8} 2 {8} is used instead of subscript notation

Basic property of logarithms is that exponents become multipliers and vice versa:

-4 log {8} 2 = log {8} (2^ -4)

Thank you,

MrB

5 0

3 years ago

Marco purchased a large box of comic books for $300. He gave 15 of the comic books to his brother and then sold the rest on an i

Yuri [45]

Answer: There are 75 books.

Price of each book = $4.

Step-by-step explanation:

Let x = Number of books in the box.

Then as per given,

Cost of x books = $300

Cost of one book = $\$(\dfrac{300}x)$

Books left after giving 15 of them = x-15

Selling price of (x-15) books= $330

Selling price of one book = $\$(\dfrac{330}{x-15})$

Profit on each book= $1.50

Profit = selling price - cost price

$\Rightarrow 1.50=\dfrac{330}{x-15}-\dfrac{300}{x}\\\\\Rightarrow\ 1.50=\dfrac{330(x)-300(x-15)}{x(x-15)}\\\\\Rightarrow\ 1.50=\dfrac{330x-300x+4500}{x^2-15x}\\\\\Rightarrow\ 1.50(x^2-15x)=30x+4500\\\\\Rightarrow\ 1.50x^2-22.5x=30x+4500\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ x^2-25x-3000=0\ \ [\text{divide by 1.5}]$

$\Rightarrow (x+40)(x-75)=0\\\\\Rightarrow\ x=-40,75$

Number of books cannot be negative.

So, there are 75 books.

Price of each book = $\dfrac{300}{75}=\$4$

So price of each book = $4.

5 0

3 years ago