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2 years ago

Simplify: (2x + 8)(7x2 - 9x - 5)

Mathematics

2 answers:

kondaur [170]2 years ago

8 0

Answer:

-18x^2 -54x + 72

Step-by-step explanation:

Ilya [14]2 years ago

5 0

(2x+8)(7x2-9x-5) simplifies to -18x2−54x+72

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2 years ago

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2 years ago

In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion

lys-0071 [83]

$\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k$

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

$\displaystyle
(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\
n=5\\
k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10$

It's 10.

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

$\displaystyle
(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\
n=5\\
k=4\\\\
\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90$

It's 90

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3 years ago

Pint-Sized Portraits has 4 different backgrounds and 5 poses in which to photograph children. How many different pictures are th

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Your answer is: 20

They have 4 different backgrounds and 5 different poses which means you just have to multiply the 4 backgrounds*the 5 different poses to discover how many different pictures you could have at the most.

hope this helps!

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3 years ago

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3 years ago