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Art [367]
2 years ago
12

Find the range of the function f(x) = 3x² - 2x for the domain (1, 2, 3).

Mathematics
1 answer:
TiliK225 [7]2 years ago
4 0

Answer:

Step-by-step explanation:

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Rewrite in simplest radical form square root of x times the fourth root of x. Show each step of your process.
Ipatiy [6.2K]

Answer:

\sqrt[4] {x^3}

Step-by-step explanation:

At this point, we can transform the square root into a fourth root by squaring the argument, and bring into the other root:

\sqrt x \cdot \sqrt[4] x =\sqrt [4] {x^2} \cdot \sqrt[4] x = \sqrt[4]{x^2\cdot x} = \sqrt[4] {x^3}

Alternatively, if you're allowed to use rational exponents, we can convert everything:

\sqrt x \cdot \sqrt[4] x = x^{\frac12} \cdot x^\frac14 = x^{\frac12 +\frac14}= x^{\frac24 +\frac14}= x^\frac34 = \sqrt[4] {x^3}

5 0
2 years ago
Find the area of a square with sides 17 centimeters long.
pickupchik [31]

Answer:

289 cm²

Step-by-step explanation:

Length (L) = 17 cm

Area of a square

= L²

= (17cm)²

= 289 cm²

7 0
3 years ago
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The number of private investigators is expected to increase from 52,000 in 2006 to 61,000 in 2016. If there are 648,982 police o
finlep [7]
<span>b. 761,307 ................</span>
4 0
4 years ago
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The linear inequality y&lt;-2/3x+2 is graphed. Determine a solution for the inequality. A) (0,2) B) (3,0) C) (0,0) D) (0,3)
jenyasd209 [6]

Hello!

The graph y < -2/3x + 2 has a dotted line. That means that any points on the dotted line or not shaded, is not a solution to this inequality. Since we are given 4 choices, we can substitute those values into the given inequality to see if it is true.

A) (0, 2)

2 < -2/3(0) + 2

2 < 2, this is false.

B) (3, 0)

0 < -2/3(3) + 2

0 < -2 + 2

0 < 0, this is false.

C) (0, 0)

0 < -2/3(0) + 2

0 < 2, this is true.

D). (0, 3)

3 < -2/3(0) + 2

3 < 2, this is false.

To check if choice C) (0, 0) is true, we should look at the given graph.

Since (0, 0) is in the shaded area, and is not graphed on the dotted line, therefore, a solution to this linear inequality is C, (0, 0).

5 0
4 years ago
Sheet of paper.<br> 1. y&lt;4
TiliK225 [7]
Is there any more to the question? i’m confused
5 0
3 years ago
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