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son4ous [18]
2 years ago
6

How are the graphs of y = sin(x) and y = sin(x - 8) related? *

Mathematics
1 answer:
kvasek [131]2 years ago
5 0

Answer:

There is a horizontal shift.

Step-by-step explanation:

Replacing  x  in a function formula with  x - 8  moves the graph 8 units to the <u>right</u>.

In the attached image, y = sin(x) is light green,  y = sin(x - 8) is dark green, and the arrows show how points on sin(x) get moved 8 units to the right.

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Which are characteristics of the graph of the function f(x) = (x + 1)2 + 22 Check all that apply.
Sunny_sXe [5.5K]

Answer: The domain is all real numbers

I can't say that the y intercept is 3 because when you distribute,

f(x) = (x + 1)2 + 22 \\ f(x) = 2x + 2 + 22 \\ f(x) = 2x + 24

It seems like the y intercept is 24.

5 0
2 years ago
If 2x + 5 = 8x, then 12x = ?A.5B.10C.15D.20
butalik [34]
<h2>Answer:</h2>10.\text{ Option B is correct}

<h2>Explanation:</h2>

Given the equation expressed as:

2x+5=8x

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}

Step 3: Subtract 8x from both sides

\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}

Step 4: Divide both sides by -6

\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}

Therefore the value of 12x is 10

3 0
9 months ago
The length of a rectangular garden is 7 feet longer than its width. The perimeter of the garden is 38 feet. Find the width and l
Blizzard [7]
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SSS (side side side)
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3 years ago
Solve math question of 2 x +8 &lt; 18
Elena-2011 [213]

Answer:

x < 5

Step-by-step explanation:

2 x +8 < 18

Subtract 8 from each side

2x+8-8 < 18 -8

2x< 10

Divide by 2

2x/2 < 10/2

x < 5

8 0
2 years ago
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