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Ira Lisetskai [31]
3 years ago
14

Please help me with the question.

Mathematics
2 answers:
tiny-mole [99]3 years ago
8 0

Answer:

Step-by-sf(-5)=17

tep explanation:

Let Q(x) be the quotient of \frac{f(x)}{x+5}.

Let R be the remainder. R is a constant real number because we are dividing by a linear factor, x+5.

\frac{f(x)}{x+5}=Q(x)+\frac{R}{x+5}

Multiply both sides by (x+5):

f(x)=Q(x)(x+5)+R

Substitute x=-5:

f(-5)=Q(x)(-5+5)+17  (We were given R=17 since they did say the remainder is 17.)

f(-5)=Q(x)(0)+17

f(-5)=17

Firdavs [7]3 years ago
5 0

Answer:

  f(\boxed{-5})=\boxed{17}

Step-by-step explanation:

The remainder theorem tells you that f(a) is the result of division of f(x) by (x-a).

Here, you have f(x)/(x+5) = 17, so a=-5 and f(-5) = 17.

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Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
Mars2501 [29]

The solution to the binomial expression by using Pascal's triangle is:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>

Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.

We can have the Pascal tree triangle expressed as follows:

                          1

               1                   1

        1                2                 1

    1          3              3               1

1      4            6                4            1

--- --- --- --- --- --- --- --- --- --- --- --- --- --- ---

From the given information:

The expansion of (3x-4y)^11 will correspond to line 11.

Using the general formula for the Pascal triangle:

\mathbf{(a+b)^n = c_oa^nb^0 + c_1 a^{n-1}b^1+c_{n-1}a^1b^{n-1}+c_na^0b^n}

The solution to the expansion of the binomial (3x-4y)^11 can be computed as:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

Learn more about Pascal's triangle here:

brainly.com/question/16978014

#SPJ1

5 0
2 years ago
How do I solve this step by step?
Zinaida [17]

Answer:

45

Step-by-step explanation:

plug in 3 where the xs are

2(3)(6(3)-5(3))+(3)^2(5(3)-4(3)=45

2(3)=6

6(3)=18

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8 0
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What value of x makes the vertical parts of the letter N parallel?<br> picture provided
tangare [24]

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2x + 9 = 5x

5x = 2x + 9

Subtract sides 2x

- 2x + 5x = - 2x  + 2x + 9

3x = 9

Divide sides by 3

\frac{3x}{3}  =  \frac{9}{3}  \\

x = 3

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

CHECK :

2x + 9 = 5x

2(3) + 9 = 5(3)

6 + 9 = 15

15 = 15

So the value is correct.

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Answer:

Step-by-step explanation:

It says Renita takes minutes to ride half a mile.

She leaves 30 minutes before school.

Total distance is

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2\frac{1}{2} \ there \ are \ 5 \ times  \  \frac{1}{2} \ mile .\\

Therefore total time to reach school will be  5 x 5 = 25minutes.

Since she leaves 30minutes before school. She will reach 5minutes early before school.

8 0
3 years ago
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