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3 years ago

Please help ill mark brilliant

Mathematics

1 answer:

Rudiy273 years ago

4 0

y=4/x

explanation: y= 4/x does not show a direct variation between x and y!

(if you have any further questions i can try to help so, ask away)

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How do you simplify this expression?

alisha [4.7K]

Solve the terms in parentheses first. We'll start on the denominator.

The denominator has an exponent for a fraction that also includes exponents. To multiply exponents within parentheses that are raised to a power, use this rule:

$(x^a)^b = x^{a \cdot b}$

Simplify the denominator:

$(\frac{3^4}{7^3} )^2 = \frac{3^8}{7^6}$

Solve the fractions in the numerator:

$(\frac{3}{5})^5 = \frac{3^5}{5^5}$

$(\frac{9}{7})^2} = \frac{9^2}{7^2}$

The problem should now read:

$\frac{\frac{3^5}{5^5} \cdot \frac{9^2}{7^2}}{\frac{3^8}{7^6}}$

There is a denominator in a denominator. We can bring that to the numerator of the overall fraction:

$\frac{\frac{3^5}{5^5} \cdot \frac{9^2}{7^2}}{\frac{3^8}{7^6}} = \frac{\frac{3^5}{5^5} \cdot \frac{9^2}{7^2} \cdot {7^6}}{3^8}}$

Using a calculator, simplify the numerator:

$\frac{3^5}{5^5} \cdot \frac{9^2}{7^2} \cdot {7^6} = \frac{19683}{7}$

The fraction should now read:

$\frac{\frac{19683}{7}}{3^8}$

There is a denominator in the numerator. This can be brought down to the overall denominator:

$\frac{\frac{19683}{7}}{3^8} = \frac{19683}{3^8 \cdot 7}$

Factor 19683:

$19683 = 3 \cdot3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 = 3^9$

$\frac{19683}{3^8 \cdot 7} = \frac{3^9}{3^8 \cdot 7}$

Simplify the exponents:

$\frac{3^9}{3^8} = 3$

The following fraction will be your answer:

$\boxed{\frac{3}{7}}$

8 0

4 years ago

Read 2 more answers

TOI

anygoal [31]

N I G G E RStep-by-step explanation:

7 0

4 years ago

Someone answer even if it’s easy pls

nordsb [41]

Answer:

425

Step-by-step explanation:

Out of 429 matchbox cars, there's only 4 that are blue. Therefore, 429 - 4 = 425. :)

4 0

4 years ago

In a 45°-45°-90° triangle, the length of the hypotenuse is 11. Find the length of one of the legs.

bagirrra123 [75]

11 / root2 = 11root2 over 2

6 0

3 years ago

Find the solution to the system of equations. Write the solution as an ordered pair.

Greeley [361]

Answer:
Step-by-step explanation:
3x - 2y = –9
3x−2y+2y=−9+2y
3x=2y−9/3x^3
=2y−9/3
x=2/3y−3
4x + 3y = 22
4x+3y+−3y=22+−3y
4x=−3y+22
4x4
=−3y+22/4
x=−3/4y+11/2

3 0

3 years ago

Please help ill mark brilliant​

Please help ill mark brilliant