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In-s [12.5K]
3 years ago
6

Divide.

Mathematics
1 answer:
kirill115 [55]3 years ago
8 0

Answer:

63/10 or 6 3/10

Step-by-step explanation:

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What’s the answer to this question below. A b c or d
tigry1 [53]

Answer:

option C

x = 2 , x = -5

Step-by-step explanation:

You have to remember the "Quotient Rule" for exponent having same base.

The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.

Here,

base = 12

exponents = (x² + 5x - 4) , (2x + 6)

12^(x² + 5x - 4)  = 12^(2x + 6)

12^((x² + 5x - 4) /(2x + 6)) = 1

12^((x² + 5x - 4) -(2x + 6)) = 1

12^(x² + 5x - 4 - 2x - 6) = 1

12^(x² + 5x - 2x - 4 - 6) = 1

12^(x² + 3x - 10) = 1

ln (12^(x² + 3x - 10)) = ln(1)

(x² + 3x - 10)ln(12) = 0

ln(12) = 0 rejected

x² + 3x - 10 = 0

Now solve the quadratic equations by factorisation.

(x-2)(x+5) = 0

x = 2 , x = -5

5 0
4 years ago
Read 2 more answers
The population of fish in a certain lake increases, on average, by 1.8% per year. If there are 950 fish currently in the lake. H
JulijaS [17]
To do this, you must do 950x1.8%, and get the number. Then add that number and 950 to get the amount of fish in it after one year. Repeat those steps 9 more times and you get your answer. In this case, the answer would be 1,313 fish. Your welcome!
5 0
3 years ago
Read 2 more answers
The distance a spring will stretch varies directly with how much weight is attached to the spring if a spring stretches 11 inche
Studentka2010 [4]

Answer:

the weight that attached to the spring is 9.5 inches

Step-by-step explanation:

The computation is shown below:

inches per pound is

= 11 inches ÷ 75 pounds

Now for 65 pounds, it would be

=  11 inches ÷ 75 pounds × 65 pounds

= 9.5 inches

Hence, the weight that attached to the spring is 9.5 inches

The same is relevant and considered

4 0
3 years ago
Jill walks 3/5 mile in 1/2 hour. How fast is this in miles per hour?
Flura [38]

Answer:1.2mph

Step-by-step explanation:

3/5*2=1.2 and 1/2*2=1 so it’s 1.2 mph

8 0
3 years ago
(−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
3 years ago
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