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tresset_1 [31]
2 years ago
6

Graph the solution set. please help

Mathematics
1 answer:
Ratling [72]2 years ago
7 0

Answer:

In the attachment.

Step-by-step explanation:

Rewrite x\geq-3y-6 as a y\geq -\frac{1}{3}x-2. Then mark each set with different color and take the intersection of these.

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Question 15 of 46
kifflom [539]

The given polynomial function has 1 relative minimum and 1 relative maximum.

<h3>What are the relative minimum and relative maximum?</h3>
  • The relative minimum is the point on the graph where the y-coordinate has the minimum value.
  • The relative maximum is the point on the graph where the y-coordinate has the maximum value.
  • To determine the maximum and the minimum values of a function, the given function is derivated(since the maximum or minimum is obtained at slope = 0)

<h3>Calculation:</h3>

The given function is

f(x) = 2x³ - 2x² + 1

derivating the above function,

f'(x) = 6x² - 4x

At slope = 0, f'(x) = 0 (for maximum and minimum values)

⇒ 6x² - 4x = 0

⇒ 2x(3x - 2) = 0

2x = 0 or 3x - 2 = 0

∴ x = 0 or x = 2/3

Then the y-coordinates are calculated by substituting these x values in the given function,

when x = 0;

f(0) = 2(0)³ - 2(0)² + 1 = 1

So, the point is (0, 1)

when x = 2/3;

f(2/3) = 2(2/3)³ - 2(2/3)² + 1 = 19/27

So, the point is (2/3, 19/27)

Since y = 1 is the largest value, the point (0, 1) is the relative maximum for the given function.

So, y = 19/27 is the smallest value, the point (2/3, 19/27) is the relative minimum for the given function.

Thus, option A is correct.

Learn more about the relative minimum and maximum here:

brainly.com/question/9839310

#SPJ1

3 0
2 years ago
Jason used the commutative property to write an expression that is equivalent to 3
Elanso [62]

Answer: 0.22

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Evaluate the square root
Alexandra [31]

\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ and\ b\geq0\\\\\sqrt{\dfrac{1}{144}}=\dfrac{\sqrt1}{\sqrt{144}}=\dfrac{1}{12}\\\\\\\sqrt1=1\ because\ 1^2=1\\\\\sqrt{144}=12\ because\ 12^2=144

3 0
3 years ago
5+r−2=9 what is da value of R?
Basile [38]

Answer:

r=9-5+2

r=6

Step-by-step explanation:

this is the correct answer

please mark me as brainlist

5 0
2 years ago
mr. ronaldo earns 54,800 annually. if his income tax rate is 9% then how much did he pay in income tax
Alik [6]

Answer:

Mr Ronaldo paid $4,932 in income tax

Step-by-step explanation:

In this question, we are asked to calculate the amount Mr Ronaldo pays in income tax

To calculate this, we need to calculate 9% of his annual earnings

His income tax = 9/100 * 54,800

Income tax = $4,932

3 0
3 years ago
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