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natka813 [3]
3 years ago
13

Solve the first equation for x. X+ 5y = 0 20y = -4x

Mathematics
1 answer:
Paha777 [63]3 years ago
6 0

The answer for the first equation x + 5y = 0 is,

x =  - 5y

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What is the simplified form of 20 times x to the sixth power over 15 times y to the fifth power times the fraction 5 times y squ
Delvig [45]
In order to easily picture out the operation involving fractions, let's write it in an algebraic equation. So, the above description is written as

20x⁶/15y⁵ × 5y²/6x⁴

The first thing to do is to simplify the easiest terms: the constants. Just multiply all the constants on the numerator and all the constants on the denominator independently. The simplified constant becomes

(20*5)/(15*6) = 10/9

So, the equation to be solved now is 

10x⁶y²/9y⁵ x⁴

So, I also multiplied all the variables in the numerator and denominator independently, just like the constants. Then, you apply the laws of exponents. When you divide terms with exponents of the same value of the base, you subtract the exponent on the numerator minus the denominator. It goes like this:

10/9 * x⁶⁻⁴*y²⁻⁵ = 10/9*x²y⁻³

Now, when the exponent as written to the power of a negative exponent, just simply take its reciprocal to make it positive. So, the final answer is

10x²/9y³ or that is letter D.
8 0
4 years ago
16 points to whoever can answer this question !!
sdas [7]

\dfrac{3^4}{3^2}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=3^{4-2}=3^2\\\\Answer:\ \boxed{b.\ 3^2}

7 0
3 years ago
The Ocean Cleanup project estimates its 001/B system could clean up 733
miss Akunina [59]

Answer:

y = 733x

Step-by-step explanation:

y equals the total amount of waste collected, 733 is the number of tons collected every month, and x is the number of months.

If this answer is correct, please make me Brainliest!

6 0
3 years ago
In the expansion of ( x^3 - 2/x^2 ) ^10 , find the coefficient of 1/x^5​
Lilit [14]

Answer:

240

Step-by-step explanation:

We need to find the coeffeicent of the binomial expansion of

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

Note that

- 2 {x}^{ - 2}  = -  \frac{2}{ {x}^{2} }

The binomial theorem states that

(x + y) {}^{n}  = x {}^{n} y {}^{0}  +  \binom{n}{1} x {}^{n - 1} y +  \binom{n}{2} x {}^{n - 2} y {}^{2} ....... + x {}^{0} y {}^{n} ( \binom{n}{n} )

Using this, we let expand our series

( {x}^{3}   - 2 {x}^{ - 2} ) {}^{10}  = x {}^{30}  +  \binom{10}{1} ( {x}^{27}     2 {x}^{ - 2} ) +  \binom{10}{2}  {x}^{24} 2x {}^{ - 4}  +  \binom{10}{3}  {x}^{21} 2x {}^{ - 6}  +  \binom{10}{4}  {x}^{18} 2x { }^{ - 8}  +  \binom{10}{5} x {}^{15} 2x {}^{ - 10}  +  \binom{10}{6} x {}^{12}2 x {}^{ - 12}  +  \binom{10}{7} x {}^{ 9} 2x {}^{ - 14}  +  \binom{10}{8} x {}^{ 6} 2x {}^{ - 16}  +  \binom{10}{9} ( {x}^{3} )2x {}^{ - 18}  + 2x {}^{ - 20}

\frac{1}{ {x}^{5} }  = x {}^{ - 5}

So what term in the series eqaul x^-5.

That term is the 10 choose 7 term.

\binom{10}{7}  {x}^{9} 2x {}^{ - 14}

Because

=  \binom{10}{7} 2x {}^{ - 14}  {x}^{9}  =  \binom{10}{7} 2 {x}^{ - 5}

So we need to compute 10 choose 7.

That equals

10!/3!(7!)= 10×9×8/6= 720/6=120.

So we get

120(2) {x}^{ - 5}

240 {x}^{ - 5}

So the coeffceint u

is 240

3 0
3 years ago
7 + 6(w +-6) vbdrufbhjf
ZanzabumX [31]

Answer:

6w - 29

Step-by-step explanation:

8 0
3 years ago
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