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3 years ago

Please help with an explanation

Mathematics

1 answer:

Vsevolod [243]3 years ago

8 0

Answer:

the answer is incorrect though the first step is correct but the second step is wrong and so is the answer. the correct answer would be x raise to the power of 2by 5

Step-by-step explanation:

{x⁶/⁵⁻²/⁵} ¹/²= {x⁴/⁵}¹/²= x²/⁵

in the second step the power of the denominator must be subtracted from the power of the numerator using the law of indices then we would get the correct answer

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URGENT 20 POINTS Select each graph that shows a function and its inverse.

Andre45 [30]

Answer: Graph first and fourth.

Step-by-step explanation:

If a function is reflected through line y=x,, we obtained an inverse function of that function.

In first graph,

The function is reflected through line y = x,

Hence, in this graph we obtained inverse functions.

In second graph,

The function is shifted horizontally,

This is why we did not get an inverse function.

In third graph,

The function is reflected through x-axis,

This is why we did not get the inverse of the function.

In fourth graph,

The function is reflected through line y = x,

Hence, in this graph we obtained inverse functions.

8 0

3 years ago

Read 2 more answers

The graphs of functions f(x) and g(x) = f(x) + k are shown below. Graph of line f of x going through ordered pairs 0, 1 and 2, 6

mash [69]

The cut point with the y axis for both graphs occurs when x = 0
We have then:
For f (x):
The cut point with the y axis is:
$f (0) = 1
$
For g (x):
The cut point with the y axis is:
$g (0) = -1
$
Therefore, the value of k is given by the vertical displacement of the graph k units.
We have then:
$g (0) = f (0) + k
$
From here, let's clear k:
$k = g (0) - f (0)

k = - 1- 1

k = -2$
Answer:
The value of k is -2

4 0

3 years ago

Read 2 more answers

Directions: Follow the instructions for the following inequalities.

dmitriy555 [2]

Answer:

1. 5050 < 8820

2. 15 > 6

3. -20 , -18

4. -1 < 1

Step-by-step explanation:

1. 4 < 7

multiply both sides by 7: 4 x 7 < 7 x 7 = 28 < 49

then multiply both sides by 6: 28 x 6 < 49 x 6 = 168 < 294

then multiply both sides by 3: 168 x 3 < 294 x 3 = 505 < 882

then multiply both sides by 10: 505 x 10 < 882 x 10 = 5050 < 8820

Did not affect the inequality sign

2. 11 > 2

Add 5 to both sides: 11 + 5 > 2 + 5 = 16 > 7

then add 3 to both sides: 16 + 3 > 7 + 3 = 19 > 10

then add -4 to both sides: 19 - 4 > 10 - 4 = 15 > 6

Did not affect the inequality sign

3. -4 < -2

Subtract 6 from both sides: - 4 - 6 < - 2 - 6 = -10 < -8

then subtract 8 from both sides: -10 - 8 < -8 - 8 = -18 < -16

then subtract 2 from both sides: -18 - 2 < -16 - 2 = -20 , -18

Did not affect the inequality sign

4. -8 < 8

Divide both sides by -4: -8 ÷ -4 < 8 ÷ -4 = 2 > -2

then divide both sides by -2: 2 ÷ -2 > -2 ÷ -2 = -1 < 1

Did affect the inequality sign throughout the operations, as when dividing by a negative number, flip the sign

Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged.
Multiplying or dividing both sides by a positive number leaves the inequality symbol unchanged.
Multiplying or dividing both sides by a negative number reverses the inequality. This means < changes to > (and vice versa)

6 0

2 years ago

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram

scoundrel [369]

True - specifically, that parallelogram could be a parallelogram, rhombus, rectangle or a square.

3 0

3 years ago

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A rectangle has an area of 54 square inches. The width of the rectangle is 9 inches. What is the length of the rectangle?

Novosadov [1.4K]

For length, divide the area by the width.

Length = 54/9