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dsp73
3 years ago
13

Unknown interior for 65° and 45°

Mathematics
1 answer:
fomenos3 years ago
3 0
To find the answer, use this equation:
65 + 45 + x = 180
Simplify:
110 + x = 180
Subtract:
x = 70
Your unknown interior is 70

Hope this helps!! :)
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5q greater than or equal to 8q -3/2
kakasveta [241]

5q ≥ 8q - 3/2

<em><u>Add 3/2 to both sides.</u></em>

3/2 + 5q ≥ 8q

<em><u>Subtract 5q from both sides.</u></em>

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<em><u>Multiply both sides by 2.</u></em>

3 ≥ 6q

<em><u>Divide both sides by 6.</u></em>

0.5 ≥ q.

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3 years ago
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

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2 years ago
The sum of two numbers is 10. The difference between three times the first number and twice the second number is 20. Find the tw
77julia77 [94]

Answer:

one number x= 16

other number y = 4

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3 years ago
How do I simplify big improper fractions?
Elodia [21]
8 can go into 270 evenly.....90 times to be exact so the answer is 90
5 0
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The equation would be 8n=c

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