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4 years ago

What is 9bc - 6b written in factored form?

Mathematics

1 answer:

sattari [20]4 years ago

3 0

Answer:

Step-by-step explanation:

$9bc=(3b)(3c)\\\\6b=(3b)(2)\\\\\text{Distributive property:}\ a(b+c)=ab+ac\\\\9bc-6b=(3b)(3c)-(3b)(2)=(3b)(3c-2)$

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Anyone help me. ....

weeeeeb [17]

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

All the exponents inside the parenthesis are multiplied by the exponent outside the parenthesis.

Then

$\frac{m^{-7}n^{14} }{m^{-25}n^{40} }$ ÷ $\frac{m^{-21}n^{42} }{m^{-25}n^{40} }$

[ Using the rule $\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$ ]

= $m^{(-7-14)}$ $n^{(14-(-28)}$ ÷ $m^{(-15-10)}$ $n^{(25-(-15)}$

= $m^{-21}$ $n^{14+28}$ ÷ $m^{-25}$ $n^{25+15}$

= $\frac{m^{-21}n^{42} }{m^{-25}n^{40} }$

= $m^{(-21-(-25))}$ $n^{(42-40)}$

= $m^{(-21+25)}$ n²

= $m^{4}$ n² = $m^{x}$ $n^{y}$ , so x = 4 and y = 2

Then

$m^{x-2y}$ = $m^{4-2(2)}$ = $m^{4-4}$ = $m^{0}$ = 1 ← as required

6 0

3 years ago

$11.20 is 30% of what number

amm1812

The answer is $1120.00.

8 0

3 years ago

How do i check an equation for extraneous solutions?

Marina86 [1]

Example:

$\sqrt x(x+1)=0$

This suggests two solutions, $x=0$ and $x=-1$ .

However, upon plugging these solutions back into the equation, you get

$\sqrt0(0+1)=0(1)=0$

which checks out, but

$\sqrt{-1}(1-1)=0$

does not because $\sqrt x$ is defined only for $x\ge0$ (assuming you're looking for real solutions only). So, we call $x=-1$ an extraneous solution, and the complete solution set (over the real numbers) is $x=0$ .

7 0

3 years ago

Read 2 more answers

#46 I have tried several times

natita [175]

Let x be the number of tickets sold
Cost of x tickets = 32.5.x
Cost of convenience = 3.3.x
Process charges (for ONE ORDER, whatever the number of tickets) = $5.90

Hence:
$32.5(x) + $3.3(x) + $5.90 = $220.70

$35.8(x) = $220.90-$5.90

$35.8(x) = $214.8

And x = 214.8/35.8 = 6 tickets

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4 years ago

6 decigrams = milligrams

malfutka [58]

1 decigram = 100 milligrams

6 decigrams = 600 milligrams

6 0

3 years ago

What is 9bc - 6b written in factored form?​

What is 9bc - 6b written in factored form?