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3 years ago

I need some help please!!! I will try to give brainliest!!!

Mathematics

1 answer:

crimeas [40]3 years ago

4 0

Answer:13

Step-by-step explanation: I did this before lemme know how it goes

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What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C

butalik [34]

ANSWER

$10C_5(2)^{5}( - 3)^5$

EXPLANATION

The given binomial expansion is:

${(2x - 3y)}^{10}$

Compare this to

${(a + b)}^{n}$

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

${x}^{5} {y}^{5}$

This implies that, r=5.

The terms in the expansion can be obtained using

$T_{r+1}=nC_ra^{n-r}b^r$

We substitute the given values to obtain;

$T_{5+1}=10C_5(2x)^{10-5}( - 3y)^5$

$T_{6}=10C_5(2x)^{5}(3y)^5$

$T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5} {y}^{5}$

Hence the coefficient is;

$10C_5(2)^{5}( - 3)^5$

5 0

3 years ago

Read 2 more answers

What is the gcf of 14 and 22

Phantasy [73]

The multiples of 14 are 1,2,7,14
the multiples of 22 are 1,2,11,22
Therefore 2 is the GCF

7 0

3 years ago

One metre of ribbon costs $0.45. If Tabitha buys 225 metres of ribbon, how much will she have to pay? (Please help me! I have to

tatuchka [14]

Answer: $101.25

Step-by-step explanation:

Since we are given the information that one metre of ribbon costs $0.45 and that Tabitha buys 225 metres of ribbon, the amount that she will have to pay will be gotten by multiplying the cost of one meter of ribbon by the total meters that she bought. This will be:

= $0.45 × 225

= $101.25

Therefore, the cost is $101.25

6 0

3 years ago

Someone please answer will mark brainliest thank you

Vanyuwa [196]

Answer:

Since $\sqrt{36}$ = 6 and $\sqrt{49}$ = 7 it is known that $\sqrt{43}$ is between 6 and 7.

Step-by-step explanation:

4 0

2 years ago

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Which equation has exactly two real and two non real solutions?

tatiyna

Answer:

The first option $x^4-21x^2-100=0$ .

Step-by-step explanation:

To have exactly 2 real and two non real solutions, the degree of the polynomial must be a degree 4. Degree is the highest exponent value in the polynomial and is also the number of solutions to the polynomial. This polynomial ha 2 real+2 non real= 4 solutions and must be $x^4$ . This eliminates the bottom two solutions.

In order to have two real and two non real solutions, the polynomial must factor. If it factors all the way like

$x^4-100x^2=0\\x^2(x^2-100)=0\\x^2(x-10)(x+10)=0\\\\x^2=0\\x-10=0\\x+10=0$

This means x=0, 10, -10 are real solutions to the polynomial. It has no non real solutions. This eliminates this answer choice.

Only answer choice 1 meets the requirement.

5 0

3 years ago

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