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2 years ago

57:12

Mathematics

1 answer:

suter [353]2 years ago

6 0

Answer:

Step-by-step explanation:

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Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m

Dovator [93]

Option a: $\frac{m^{5} }{162n}$ is the equivalent expression.

Explanation:

The expression is $\frac{(3m^{-2} n)^{-3}}{6mn^{-2} }$ where $m\neq 0, n\neq 0$

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

$\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }$

Cancelling the like terms, we have,

$\frac{3^{-3}m^{5} n^{-1}}{6 }$

This equation can also be written as,

$\frac{m^{5}}{3^{3}6 n^{1} }$

Multiplying the terms in denominator, we have,

$\frac{m^{5} }{162n}$

Thus, the expression which is equivalent to $\frac{(3m^{-2} n)^{-3}}{6mn^{-2} }$ is $\frac{m^{5} }{162n}$

Hence, Option a is the correct answer.

8 0

3 years ago

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Solve for x if EF = 2x + 7 and FG = 7x –9<br><br> help please I'll give brainliest

s2008m [1.1K]

Answer:

x = 3.2

Step-by-step explanation:

Since, intercepts made by parallel lines on the transversals are in proportion.

$\therefore \frac{AB}{BC} =\frac{EF}{FG}... (1)$

AB = BC.... (given)

$\implies \frac{AB}{BC} = 1..... (2)$

From equations (1) & (2)

$1 =\frac{EF}{FG}$

${FG}={EF}$

Therefore,

7x - 9 = 2x + 7

7x - 2x = 9 + 7

5x = 16

x = 16/5

x = 3.2

7 0

2 years ago

What is 163/2 divided by 1/7

nydimaria [60]

Hello!

I take that the "/" was meant to be a fraction. There fore, your answer would be $\frac{1141}{2}$ .

Enjoy.
~Isabella

6 0

3 years ago

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Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?

pishuonlain [190]

we have

$y=2x^{2} -8x+9$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$y-9=2x^{2} -8x$

Factor the leading coefficient

$y-9=2(x^{2} -4x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$y-9+8=2(x^{2} -4x+4)$

$y-1=2(x^{2} -4x+4)$

Rewrite as perfect squares

$y-1=2(x-2)^{2}$

$y=2(x-2)^{2} +1$ -----> equation in vertex form

therefore

the answer is the option C

$y=2(x-2)^{2} +1$

3 0

3 years ago

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Toms house cost $100000 in the year 2000 in 2008 he sold his house for 125000 what was the percentage of change in the price of

Leno4ka [110]

There was a 125% change in the price of the house.

The changed price was an increase of from the original 100,000 therefore the answer can be concluded to be above 100%.

Anyways, to solve this problem you need to find what 125,000 is OF 100,000, meaning you need to divide. 125,000/100,000=1.25. 1.25 can then be changed into 125%.

8 0

3 years ago

Read 2 more answers