What does the red x stand for in this line plot?<br><br> Can anyone help me pls

Xpand the binomial (4x + 3y)3. The coefficient of the second term in the expansion of the binomial (4x + 3y)3 is .

Ad libitum [116K]

Answer: 144

Step-by-step explanation:

The binomial is $\left( 4x+3y\right)^3$

The expansion of $\Rightarrow \left ( a+b \right )^n=^nC_0\left ( a \right )^n\left ( b \right )^0+^nC_1\left ( a \right )^{n-1}\left ( b \right )^1+^nC_2\left ( a \right )^{n-2}\left ( b \right )^2+^nC_3\left ( a \right )^{n-3}\left ( b \right )^3+\ldots$

Expansion of $\left( 4x+3y\right)^3$

$\Rightarrow ^3C_0\left ( 4x\right )^{3}\left ( 3y\right )^0+^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1+^3C_2\left ( 4x\right )^{1}\left ( 3y\right )^2+^3C_3\left ( 4x\right )^{0}\left ( 3y\right )^3$

So, the second term is

$\Rightarrow ^3C_1\left ( 4x\right )^{3-1}\left ( 3y\right )^1\\\Rightarrow ^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1$

Its Coefficient is

$\Rightarrow ^3C_1\times 4^2\times 3\\\Rightarrow 3\times 16\times 3=144$

6 0

2 years ago

What is the inverse of the function f(x)= 19/x^3 ?

Ugo [173]

$f(x)=\dfrac{19}{x^3}\to y=\dfrac{19}{x^3}\\\\\dfrac{y}{1}=\dfrac{19}{x^3}\ \ \ \ |cross\ multiply\\\\yx^3=19\ \ \ \ |:y\neq0\\\\x^3=\dfrac{19}{y}\to x=\sqrt[3]{\dfrac{19}{y}}$
Answer: $f^{-1}(x)=\sqrt[3]{\dfrac{19}{x}}$

8 0

2 years ago

Juanita works at a telemarketing company. She makes 12 sales calls per hour. Employees are encouraged to make more than 480 call

sukhopar [10]

480 - 144 = 336
336 divided by 12 = 28

ANSWER: 28 Hours

4 0

2 years ago

GEOMETRY!! Will give brainliest

geniusboy [140]

Answer:

Option #1

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Last week, an online site received $355.60 for selling 20 cell phone accessories Cell phone cases sell for $10.98 and Airpods se

Fofino [41]

Answer:

i. Cell phone cases

Airpods

ii. x + y = 20 .............. 1

10.98x + 27.98y = 355.60 .............. 2

iii. x = 12, and y = 8

Step-by-step explanation:

Amount of sale = $355.60

Cost of Cell phone cases = $10.98

Cost of Airpods = $27.98

Number of phone accessories sold = 20

1. The variables to be considered in the question are:

i. Cell phone cases

ii. Airpods

2. Let the number of cell phone cases bought be represented by x, and that of airpods be represented by y.

Thus,

x + y = 20 .............. 1

10.98x + 27.98y = 355.60 .............. 2

From equation 1,

x = 20 -y

substitute the value of x in equation 2

10.98(20 - y) + 27.98y = 355.60

219.6 -10.98y + 27.98y = 355.60

17y = 136.60

y = $\frac{136.60}{17}$

y = 8.0353

So that,

x = 20 -y

= 20 - 8.0353

x = 11.9647

Thus,

x = 12, and y = 8

4 0

2 years ago

What does the red x stand for in this line plot? Can anyone help me pls