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hoa [83]
3 years ago
5

Solve for x in the diagram below

Mathematics
1 answer:
Lapatulllka [165]3 years ago
5 0

Answer:

26.67

Step-by-step explanation:

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Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit. (x - 3)^5
Rudiy27
I used bionomial expansion up to and including the term x^{3}

(-3 + x)^{5}

-3^{5} (1 +  -\frac{1}{3}x)  ^{5}

-243 (1 +  -\frac{1}{3}x)  ^{5}

n = 5
x = - \frac{1}{3}x


Binomial expansion:

1 + nx +  \frac{n(n-1) x^{2} }{2!} + \frac{n(n-1)(n-2) x^{3} }{3!}


Therefore:

1 + (5*-  \frac{1}{3}x) +  \frac{5(4) (- \frac{1}{3}x)^{2}  }{2} + \frac{5(4)(3) (- \frac{1}{3}x)^{3}  }{6}

=

1 -  \frac{5}{3} x +  \frac{10}{9} x^{2} -  \frac{10}{27}  x^{3} &#10;&#10;

Multiply by -243

=

-243 + 405x - 270x^{2} +  90  x^{3} &#10;
3 0
3 years ago
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For a recent project, a teacher purchased 250 pieces of red construction paper and 114 pieces of blue construction paper. What i
Kay [80]
Just divide and find the ratio ;

red to blue
250:114

125:57.......as the answer !!
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3 years ago
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