All categories

3 years ago

Distribute property to simplify 4(3x+2)

Mathematics

1 answer:

Julli [10]3 years ago

8 0

Here is the equation:

$4(3x+2)$

Since 4 is next to the parentheses, you have to multiply everything in the parentheses by 4.

First multiply 3x by 4:

$3x \times 4 = 12x$

Now multiply 2 by 4:

$4 \times 2 = 8$

Now add them together:

$12x+8 = 12x +8$

Your answer is 12x + 8

You might be interested in

Suppose that a recent poll of American households about car ownership found that for households with a car, 39% owned a sedan, 3

Rama09 [41]

Answer:

The probability that of the 3 households randomly selected at least 1 owns a sports car is 0.1956.

Step-by-step explanation:

Let X = number of household owns a sports car.

The probability of X is, P (X) = p = 0.07.

Then the random variable X follows a Binomial distribution with n = 3 and p = 0.07.

The probability function of a binomial distribution is:

$P(X=x) = {n\choose x}p^{x}[1-p]^{n-x}\\$

Compute the probability that of the 3 households randomly selected at least 1 owns a sports car:

$P(X\geq 1)=1-P(X$

Thus, the probability that of the 3 households randomly selected at least 1 owns a sports car is 0.1956.

4 0

3 years ago

Which of the linear equations expresses the situation? Alliance Cannery received an order for 384 cans of food. The order can be

romanna [79]

The second option, 24x + 64y = 384

9 0

3 years ago

Read 2 more answers

Suzl starts her hike at 300 feet below sea level. When she reaches the end of the

Angelina_Jolie [31]

For all the other viewers of this question, the change was -403 feet or you could say 403 feet i guess but the answer is -403 feet

7 0

3 years ago

Can anyone help me please i dont understand this

Katena32 [7]

Answer:

try doing this for each quesion

so you see the negative? well negative means less than more. then use your signs and try to get it done reply if you still dont understand

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Solve 73 make sure to also define the limits in the parts a and b

Aleks04 [339]

73.

$f(x)=\frac{3x^4+3x^3-36x^2}{x^4-25x^2+144}$

$\lim_{x\to\infty}f(x)=\lim_{x\to\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3$ $\lim_{x\to-\infty}f(x)=\lim_{x\to-\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3\cdot\frac{1}{2}=3$

Since we can't divide by zero, we need to find when:

$x^4-2x^2+144=0$

But before, we can factor the numerator and the denominator:

$\begin{gathered} \frac{3x^2(x^2+x-12)}{x^4-25x^2+144}=\frac{3x^2((x+4)(x-3))}{(x-3)(x-3)(x+4)(x+4)} \\ so: \\ \frac{3x^2}{(x+3)(x-4)} \end{gathered}$

Now, we can conclude that the vertical asymptotes are located at:

$\begin{gathered} (x+3)(x-4)=0 \\ so: \\ x=-3 \\ x=4 \end{gathered}$

so, for x = -3:

$\lim_{x\to-3^-}f(x)=\lim_{x\to-3^-}-\frac{162}{x^4-25x^2+144}=-162(-\infty)=\infty$ $\lim_{x\to-3^+}f(x)=\lim_{x\to-3^+}-\frac{162}{x^4-25x^2+144}=-162(\infty)=-\infty$

For x = 4:

$\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty$ $\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty$

4 0

1 year ago