All categories

2 years ago

What is the coefficient of abc when the product (a + 2b)(b + 2c)(c + 2a) is expanded and

Mathematics

1 answer:

oksian1 [2.3K]2 years ago

8 0

Answer:

The coefficient is 9

Step-by-step explanation:

(a)(b)(c)+(a)(2c)(2a)+(2b)(b)(c)+(2b)(2c)(2a)

abc+4ca^2+2cb^2+8abc

9abc+4ca^2+2cb^2

You might be interested in

1. The distance you travel varies directly with the amount of gas you use. You can travel 300 miles on 12 gallons of gas.

Ratling [72]

Answer is in the attachment

5 0

2 years ago

Read 2 more answers

A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of

cestrela7 [59]

The amount of gas consumed by first and second car were 20 gallons and 15 gallons respectively.

Explanation

Suppose, $x$ gallons of gas were consumed by the first car.

As the total gas consumption in one week is 35 gallons, so the amount of gas consumed by second car will be: $(35-x)$ gallons.

The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas.

So, the distance traveled by the first car in $x$ gallons of gas $=35x$ miles and the distance traveled by the second car in $(35-x)$ gallons of gas $=15(35-x)$ miles.

Given that, the two cars went a combined total of 925 miles. So, the equation will be.....

$35x+15(35-x)=925\\ \\ 35x+525-15x=925\\ \\ 20x=925-525=400\\ \\ x=\frac{400}{20}=20$

So, the amount of gas consumed by the first car is 20 gallons and the amount of gas consumed by the second car is: (35 - 20) = 15 gallons.

3 0

3 years ago

What are the solutions of x² + 6x - 6 = 10?

Likurg_2 [28]

Answer: x=- 8 or x=2

Step-by-step explanation:

1. To solve this problem you can applly the quadratic formula, which is shown below:

$x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}$

2. The quadratic equation is:

$x^{2}+6x-6-10=0\\x^{2}+6x-16=0$

3. Then:

a=1

b=6

c=-16

4. Therefore, when you substitute these values into the quadratic formula, you obtain the following result:

$x=\frac{6+/-\sqrt{6^{2}-4(1)(-16)}}{2(1)}$

$x_1=-8\\x_2=2$

4 0

3 years ago

Read 2 more answers

What is 4f - 24 + 4f = -8

Lynna [10]

Answer:

F = 2

Step-by-step explanation:

4f-24+4f=-8

collect like terms

8f-24=-8

move constant to the right

8f=-8+24

calculate

8f=16

divide both sides by 8

Answer F = 2

3 0

3 years ago

Which is the area of a square with one side that measures 1 foot? A. 1 square inch B. 100 square inches C. 144 square inches D.

cluponka [151]

Answer:

Option C. 144 square inches is the correct answer.

Step-by-step explanation:

We have been given a square with one side with a measurement of 1 foot and we have to calculate the area in square inches.

First we know that 1 foot of length = 12 inches on scale

Therefore side of the square is 12 inches

Now the area of the square will be = (Side×Side) = (Side)²

= (12)² = 144 square inches.

So the area of the square will be 144 square inches.

6 0

3 years ago