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erastova [34]
3 years ago
13

1. Simplify the expression. Assume that

Mathematics
1 answer:
ololo11 [35]3 years ago
5 0

Answer:

b. 6|x|

Step-by-step explanation:

√(36x²) = √36√(x²)= 6|x|

Because √ from the number can be only positive.

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When you multiply a function by -1, what is the effect on its graph?
Dafna1 [17]

9514 1404 393

Answer:

  B.  The graph flips over the x-axis

Step-by-step explanation:

When you plot the coordinate pair (x, y), you plot the point 'y' units above the x-axis. If you change the sign of that (multiply the function by -1), then the point becomes (x, -y), and is plotted 'y' units below the x-axis.

The graph flips over the x-axis.

__

Attached is an example of a function with its original graph (red) and the graph after being multiplied by -1 (blue). The blue graph is a reflection of the red graph across the x-axis.

5 0
3 years ago
What is the solution to the trigonometric inequality 2sin(x)+3>sin ^2(x) over the interval
navik [9.2K]

The intervals that satisfy the given trigonometric Inequality are; 0 ≤ x < 3π/2 and 3π/2 < x ≤ 2π

<h3>How to solve trigonometric inequality?</h3>

We are given the trigonometric Inequality;

2 sin(x) + 3 > sin²(x)

Rearranging gives us;

sin²(x) - 2 sin(x) - 3 < 0

Factorizing this gives us;

(sin(x) - 3)(sin(x) + 1) < 0

Thus;

sin(x) - 3 = 0 or sin(x) + 1 = 0

sin(x) = 3 or sin(x) = -1

sin(x) = 3 is not possible because sin(x) ≤ 1.

Thus, we will work with;

sin(x) = -1 for the interval 0 ≤ x ≤ 2π radians.

Then, x = sin⁻¹(-1)

x = 3π/2.

Now, if we split up the solution domain into two intervals, we have;

from 0 ≤ x < 3π/2, at x = 0. Then;

sin²(0) - 2 sin(0) - 3

= 0² - 0 - 3

= -3 < 0

Thus, the interval 0 ≤ x < 3π/2 is true.

From 3π/2 < x ≤ 2π, take x = 2π. Then;

sin²(2π) - 2 sin(2π) - 3

= 0² - 0 - 3

= -3 < 0

Thus, the interval 3π/2 < x ≤ 2π is also true.

Read more about trigonometric inequality at; brainly.com/question/27862380

#SPJ1

3 0
2 years ago
What is it? Please help
blondinia [14]

Answer:

a math problem lol

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Anyone know how to solve this?
Andrei [34K]

Answer:

...........

........n sei flor

6 0
2 years ago
Help me please I will give u 100 points and brainliest
Sonja [21]

The correct answer is -2

<em>Sure hope this helps you :D</em>

3 0
2 years ago
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