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2 years ago

10

Factor the following expression. Simplify your answer. 3s(s - 1)^1/3 + 2(s - 1)^4/3

2 answers:

krok68 [10]2 years ago

7 0

Answer: (s-1)^1/3 (5s-2)

denis23 [38]2 years ago

6 0

Answer:

Step-by-step explanation:

$3s\sqrt[3]{s-1} + 2 \sqrt[4/3]{s-1} =\\3s\sqrt[3]{s-1} + 2 \sqrt[1/3]{(s-1)^4} =\\3s\sqrt[3]{s-1} + 2 (s-1)\sqrt[1/3]{s-1} =\\\sqrt[3]{s-1}*(3s + 2 (s-1)) =\\\sqrt[3]{s-1}*(3s + 2s-2)) =\\\sqrt[3]{s-1}*(5s -2) \\$

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What function is shown by the graph below?

Airida [17]

Answer:

The function $f(x)=\sqrt{x+2}$ is shown by the graph below ⇒ 2nd answer

Step-by-step explanation:

<em>To find the right function chose two points from the graph and substitute the x-coordinate of each point in the function to find the y-coordinate, if they are the same with the corresponding y-coordinates of the points, then the function is shown by the graph</em>

From the figure:

The curve passes through points (-2 , 0) and (2 , 2)

∵ $f(x)=\sqrt{x-2}$

∵ x = -2

- Substitute x by -2

∴ $f(-2)=\sqrt{-2-2}$

∴ $f(-2)=\sqrt{-4}$ ⇒ it is impossible no square root for (-) number

∴ $f(x)=\sqrt{x-2}$ is not the function shown by the graph

∵ $f(x)=\sqrt{x+2}$

∵ x = -2

- Substitute x by -2

∴ $f(-2)=\sqrt{-2+2}$

∴ $f(-2)=\sqrt{0}$

∴ f(-2) = 0 ⇒ same as the y-coordinate of x = -2

∵ x = 2

- Substitute x by 2

∴ $f(2)=\sqrt{2+2}$

∴ $f(2)=\sqrt{4}$

∴ f(2) = 2 ⇒ same as the y-coordinate of x = 2

∴ The function $f(x)=\sqrt{x+2}$ is shown by the graph below

7 0

3 years ago

Solve for the equation, show all your work. This is an absolute value equation. You need to show both equations and the work for

VMariaS [17]

Answer:

$x=-1$ or $7$

Step-by-step explanation:

We use casework on when $3x-9=12$ and when $3x-9=-12$ .

For the first case, $3x-9=12$ , we add 9 to both sides to get

$3x=21$ .

Dividing both sides by 3 gives

$x=7.$

For the second case, $3x-9=-12$ , we add 9 to both sides to get

$3x=-3$ .

Dividing both sides by 3 gives

$x=-1$ .

Checking both cases, we plug in $x=7$ and $x=-1$ .

For the first case, we have $|3(7)-9|=|21-9|=|12|=12$ , which satisfies the equation.

For the second case, we have $|3(-1)-9|=|-3-9|=|-12|=12$ , which also satisfies the equation.

This gives us two solutions to the equation; $x=7$ and $x=-1$ .

4 0

2 years ago

(38x+61y)-(3x-11y) simplify this expression

Roman55 [17]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>35x + 72y</em>

<em />

▹ Step-by-Step Explanation

(38x + 61y) - (3x - 11y)

38x + 61y - (3x - 11y)

38x + 61 y - 3x + 11y

35x + 61y + 11y

35x + 72y

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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4 0

3 years ago

Rachel saved money to buy art supplies. She used 1/3 of her savings to buy brushes. She used 3/5 of her savings to buy paint. Wh

kifflom [539]

Rachel saved enough money and she used 14/15

3 0

3 years ago

The area of a circle is 2464cm2.calculate it's diameter to 2 significant figures<br>

tigry1 [53]

Answer:

hi

Step-by-step explanation:

Answer:

The diameter of the circle is 56 cm.

Step-by-step explanation:

Given : The area of the circle is 2464 cm square.

To find : The diameter of the circle?

Solution :

The area of the circle is defined as

Where, A=2464 cm² is the area,

r is the radius

Substituting the values,

Radius of the circle is 28 cm.

The diameter of the circle is

Therefore, The diameter of the circle is 56 cm.

3 0

3 years ago