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2 years ago

Consider the sequence -3, -7,-11, -15...

Mathematics

1 answer:

Alina [70]2 years ago

7 0

Yes, this is a function and a rule could be y=-4x+1

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(−5)3x7(yz)4 / (3)2x2y8z2

g100num [7]

Answer:

$\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}$

Step-by-step explanation:

Given:

The expression to simplify is given as:

$\frac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}$

In order to simplify this, we have to use the law of indices.

1. $(ab)^m=a^mb^m$

So, $(yz)^4=y^4z^4$

Substitute this value in the above expression. This gives,

$=\dfrac{(-5)3x^7y^4z^4}{(3)2x^2y^8z^2}\\\\\\=\dfrac{-15x^7y^4z^4}{6x^2y^8z^2}......(-5\times 3=15\ and\ 3\times 2=6)$

Now, we use another law of indices.

2. $\frac{a^m}{a^n}=a^{m-n}$

So, $\frac{x^7}{x^2}=x^{7-2}=x^5,\frac{y^4}{y^8}=y^{4-8}=y^{-4}, \frac{z^4}{z^2}=z^{4-2}=z^2$

Substitute these values in the above expression. This gives,

$=\frac{-15}{6}\times x^5\times y^{-4}\times z^2\\\\=\frac{-5x^5y^{-4}z^2}{2}$

Finally, we further simplify it using the law $a^{-m}=\frac{1}{a^m}$

So, $y^{-4}=\frac{1}{y^4}$

Therefore, the given expression is simplified as:

$\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}$

5 0

2 years ago

Which is the property that justifies the action?

lidiya [134]

A) Action: multiply both sides by 4.

Have a look:

(x/4)x4=16x4
x=64

As you can see, the value of x can be found by multiplying 4 on both sides.

Hope I helped :)

4 0

3 years ago

Read 2 more answers

The cost for fudge at Sweet Treats is represented by y = 4x, where y is the price paid in dollars for x pounds. The table shows

NikAS [45]

Answer:

A. $16 Dollars

Step-by-step explanation:

4 0

2 years ago

15X^2+20x factor greatest common monomial

velikii [3]

Both 15 and 20 can be divided evenly by 5, so 5 is the greatest common monomial: 5(3x^2 + 4x) or 5x(3x + 4)

4 0

3 years ago

Select the correct answer.

skad [1K]

Answer:

Step-by-step explanation:

7 is it because it is positive

6 0

3 years ago