All categories

2 years ago

How many terms are in the binomial expansion of (3x + 5)9? 8 9 10 11

Mathematics

2 answers:

Stells [14]2 years ago

6 0

The number of terms in the binomial expansion of (3x-5)^9 is 10

Mkey [24]2 years ago

6 0

Answer: 10

Step-by-step explanation:

We know that in the binomial expansion of $(a+b)^n$ , the total number of terms = n+1

For the binomial expansion of $(3x + 5)^9$ , n= 9

Then, the total number of terms in binomial expansion of $(3x + 5)^9$ will be :-

$n+1=9+1=10$

Hence, there are 10 terms are in the binomial expansion of $(3x +5)^9$ .

You might be interested in

In the diagram, think of each segment in the figure as part of a line.

Otrada [13]

Answer:

m and k

Step-by-step explanation:

4 0

3 years ago

When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

If you plug the values from your equation, you have

$x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}$

So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

$x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24$

But we know that x is positive, so we only accept the solution $x = 27$

6 0

3 years ago

PLZ HELP ME NEED THIS FAST WILL GIVE BRAINLIEST

OleMash [197]

Answer: l = 60 ft and w = 30 ft

P = 2(l + w)

180 = 2(l + w)

Let x = width of his yard

Let 2x = length of his yard

$180=2(2x+x)$

$\frac{180}{2}=\frac{2(2x+x)}{2}$

$90=3x$

$\frac{90}{3} =\frac{3x}{3}$

$x=30ft$

l = 2x = 30(2) = 60 ft

Check:

180 = 2(l + w)

180 = 2(60 + 30)

180 = 2(90)

180 = 180

LS = RS

4 0

3 years ago

Order 2/3, 2/9, 5/6, 11/18 from least to greatest.

ollegr [7]

Answer:

2/9, 2/3, 8/11, 5/6.

8 0

3 years ago

Read 2 more answers

What is 64,005,874 in word and expanded form and 30,679,100

MakcuM [25]

64005874
word form: sixty-four million, five thousand, eight hundred and seventy-four
expanded form: 60000000 + 4000000 + 5000 + 800 + 70 + 4
30679100
word: thirty million, six hundred seventy nine thousand, and one hundred
30000000 + 600000 + 70000 + 9000 + 100

hope this helps

8 0

2 years ago