2 years ago

Find the specified nth term in the expansion of the binomial. (8a + 3b)5, n = 5

Mathematics

1 answer:

fgiga [73]2 years ago

4 0

Answer:

b= 1/3n - 8a/3

Step-by-step explanation:

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Mrs.smith has 12 times as many markers as colored pencils.the total number of markers and colored pencils is 78.how many markers

cupoosta [38]

Divide 78 and 12. You get 6

6 0

2 years ago

Chloe drew a triangle with side lengths of 30 centimeters, 24 centimeters, and 18 centimeters. Juan drew a triangle with side le

vlada-n [284]

Answer:

A and B

Step-by-step explanation:

Each side in Chloe's triangle is 1.5 times the length of each side in Juan's triangle. Thus, they are 'similar' by the <u>math </u>definition of that word, by the SSS Rule for Similar Triangles.

That means they are different only in size. So, their angle measures are the same and they are the same shape.

A and B are true.

C is never true, because the sum of all 3 angles in a triangle is always 180°.

D is not true, because they are similar.

5 0

2 years ago

Five plus one multiplied by ten eaquals 5 1x10=

faust18 [17]

By order of operation
5+1x10
5+10
15

By normal solving
5+1x10
6x10
60

3 0

3 years ago

How does one find the inverse function of f(x)= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3x-1%7D" id="TexFormula1" tit

lisabon 2012 [21]

Answer:

$\displaystyle f^{-1}(x)=\frac{1+x}{3x}$

Step-by-step explanation:

<u>The Inverse of a Function</u>

The procedure to find the inverse of the function is:

* Write the function as a two-variable equation:

$\displaystyle y=\frac{1}{3x-1}$

* Solve the equation for x.

Multiply by 3x-1

$y(3x-1)=1$

Divide by y:

$\displaystyle 3x-1=\frac{1}{y}$

Sum 1:

$\displaystyle 3x=\frac{1}{y}+1$

Operate the right side:

$\displaystyle 3x=\frac{1+y}{y}$

Divide by 3:

$\displaystyle x=\frac{1+y}{3y}$

* Swap the variables:

$\displaystyle y=\frac{1+x}{3x}$

Write back into function form:

$\boxed{\displaystyle f^{-1}(x)=\frac{1+x}{3x}}$

7 0

3 years ago

Ron gets $5 on the first day at work, the square of that amount on the second day, and three times the amount of the second day

Ket [755]

Answer:

5 + 25 + 75 = 105 dollars

Step-by-step explanation:

The easiest way is to just take this day by day.

day 1: 5 dollars

day 2: day1^2 = 5^2 = 25

day 3: 3 * day2 = 3 * 25 = 75

Then sum them: 5 + 25 + 75

6 0

2 years ago