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2 years ago

5

Can you combine like terms without formally showing the distributive property? Explain.

1 answer:

blsea [12.9K]2 years ago

6 0

Yes you can! Say you have 5(2 + x) + 3x. The answer would be 10+8x because when you use the distributive property you will end up getting 5*2 5*x and once you multiply, it's obvious 5 times 2 is 10 and 5 times x will equal 5x. Then you add 5x and 3x and get 8x. So, the simplified expression here is 10+8x. When you have this as an answer it's proving your answer right. You can without using the distributive property. We can have 10+5x+3x and it will be your simplified expression. It's the same thing with equations too.

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Which expression is equivalent to \left(3^{-6}\times 3^{3}\right)^{-1}\normalsize?(3 −6 ×3 3 ) −1 ? 3^{-19}3 −19 3^{18}3 18 3^{-

mars1129 [50]

Answer:

27

Step-by-step explanation:

Given the expression

$\left(3^{-6}\times 3^{3}\right)^{-1}\\$

According to law of indices, this can be written as;

$\left(3^{-6+3})^{-1}\\\\= (3^{-3})^{-1}\\\\= 3^{-3*-1}\\\\= 3^3\\\\= 27$

Hence the required answer is 27

5 0

2 years ago

Helppp with this question plzz

Gekata [30.6K]

Answer:

306

Step-by-step explanation:

There are 102 triangles, a triangle has 3 sides, each side is 1 cm. 102 x 3=306

6 0

2 years ago

Which pair of expressions represents inverse functions?

faust18 [17]

In this question , we have to find, which option represents inverse functions.

Let's check out option b

Let it be y

So we have

$y = \frac{x+3}{4x-2}$

Switching x and y and solving for y,

$x = \frac{y+3}{4y-2}$

Performing cross multiplication

$4xy -2x = y+3$

Combining like terms

$y(4x-1) = 3+2x$

$y = \frac{2x+3}{4x-1}
\\
f^{-1} (x) = \frac{2x+3}{4x-1}$

Which is same as of the other function.

So correct option is b .

6 0

3 years ago

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Help...........please

melisa1 [442]

Answer:

easy

Step-by-step explanation:

3 0

2 years ago

What is the lcm of 6 and 8<br><br>

jeka57 [31]

Answer:

The LCM, or least common multiple, of 6 and 8 is 24.

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2 years ago

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