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azamat
3 years ago
9

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

Mathematics
2 answers:
Stells [14]3 years ago
6 0
The number of terms in the binomial expansion of (3x-5)^9 is 10
Mkey [24]3 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.

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Please help meeeeeeeeeee
rodikova [14]

8-5=3 : This means you add three each time

f(5)=8+3=1

f(6)=11+3=14

hope this helps :)

if not snap chat has a feature in the search bar and you can get answers by that

4 0
3 years ago
There are 8 knives and 12 forks in a package of plastic utensils. Which ratio is equivelent to 8/12?
djyliett [7]

Answer:

\frac{2}{3}

Step-by-step explanation:

If you divide \frac{8}{12} by 4 (both numerator and denominator)

You get \frac{2}{3} which is equivalent to the given ration

5 0
3 years ago
Hi, I am in desperate need of help in math. I am utterly clueless when it comes to math. Civics on the other hand. I need help w
natita [175]
First your going to use commutative property to reorder the terms , so it would be
5x^4-x-35x^3+7 , then your going to factor out x & -7 from the equation once you factor that out you should have x(5x^3-1)-7(5x^3-1) after you got that your going to factor out 5x^3-2 and get the answer (x-7)(5x^3-1) which is your final answer.
6 0
3 years ago
I need help with this V-4=v+2+7v-42 ??
zubka84 [21]

Answer:

\boxed{\bold{v \ = \ \frac{36}{7}}}

Step-by-step explanation:

Subtract v from both sides

\bold{v-4-v=v+2+7v-42-v}

Simplify

\bold{-4=2+7v-42}

Switch sides

\bold{2+7v-42=-4}

Group like terms

\bold{7v+2-42=-4}

Subtract the numbers: 2 - 42 = -40

\bold{7v-40=-4}

Add 40 to both sides

\bold{7v-40+40=-4+40}

Simplify

\bold{7v=36}

Divide both sides by 7

\bold{\frac{7v}{7}=\frac{36}{7}}

Simplify

➤ \bold{v=\frac{36}{7}}

5 0
3 years ago
Find the area of the figure.
Ivanshal [37]

Step-by-step explanation:

Area of Rectangle at the top =

Length x Width

= 3.5 \times 3 \\  = 10.5 {mm}^{2}

Area of Quarter- Circle = 1/4 x Area of Circle

=  \frac{1}{4} \pi {r}^{2}  \\  =  \frac{1}{4} \pi( {3.5}^{2} ) \\  = 3 \frac{1}{16} \pi {mm}^{2}

Area of Rectangle at the right = Length x Width

= 5.5 \times 3.5 \\  = 19.25 {mm}^{2}

Total Area = Area of 2 Rectangles + Area of Quarter Circle

= 10.5 + 3 \frac{1}{16} \pi + 19.25 \\  = 29.75 + 3  \frac{1}{16}\pi  \\  = 32  \frac{13}{16}\pi {mm}^{2}

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.

8 0
3 years ago
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