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3 years ago

15

Graphing the Solution of an Inequality on the Number Line

1 answer:

katrin2010 [14]3 years ago

6 0

Answer:

x < 4

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

Step 2: Subtract x from both sides.

Step 3: Subtract 6 from both sides.

Step 4: Multiply both sides by 4/(-1).

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The normal monthly temperatures (°F) for Omaha, Nebraska, are recorded below.

AfilCa [17]

Answer

$y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49$

Step by Step Explanation

Given

See attachment for table

Required

Determine the sinusoidal function

The sinusoidal function is represented as:

$y = A \sin(Bx + C) + D$

Where

$|A| = Amplitude$

And it is calculated as:

$A = \frac{1}{2}[Highest - Least]$

From the table:

Highest = 77 and Least = 21

So:

$A = \frac{1}{2}[77 - 21]$

$A = \frac{1}{2}[56]$

$A = 28$

B is calculated as:

$Period = \frac{2\pi}{B}$

The period is 12 i.e. 12 months

So:

$\frac{2\pi}{B} = 12$

$B = \frac{2\pi}{12}$

$B = \frac{\pi}{6}$

C is calculated as:

$\frac{C}{B} = -4$

$C = -4 * B$

$C = -4 * \frac{\pi}{6}$

$C = -2 * \frac{\pi}{3}$

$C = -\frac{2\pi}{3}$

Lastly, D is calculated as:

$D = Least + A$

So:

$D =21 + 28$

$D=49$

So, the function is:

$y = A \sin(Bx + C) + D$

$y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49$

8 0

3 years ago

Plotting 9/8, 25/60, and 6/18 on number lines?

Tasya [4]

put but not until in cyl go into equally

6 0

3 years ago

Factor the following by grouping 4x^3-12x^2-5x+15

Vaselesa [24]

4x^2(x-3)-5(x-3)
(x-3)(4x^2-5)

8 0

3 years ago

Lukas plotted these points on the number line.

Reil [10]

Answer: Point A: −12 3

explanation: I hope that helps

5 0

3 years ago

If ab =9cm and bc =12 cm which does ac equal

Rama09 [41]

Just add them together
9 + 12 = 21

5 0

3 years ago