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2 years ago

Write Absolute value equation that has the given solutions 4 and 11

1 answer:

4 0

| x + a | = | x + a |
As given in the question x=3 or x=9, replace first x by 3 and the other x by 9
| 3 + a | = | 9 + a |
3 + a = - ( 9 + a)
3 + a = -9 - a (Solving for a )
2a = -12
a = -12/2
a= -6
now, | x + a | = | 3 - 6 | = |-3| = 3
| x + a | = | 9 - 6 | = |3| = 3
Therefore, the answer is | x - 6 | = 3

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Q7Which statement is incorrect for the graph of thefunction y = -5 cosGcos( 3 (x – 3)) +62The period is 4.The amplitude is 3.The

guajiro [1.7K]

The given function is,

$y=-5\cos (\frac{\pi}{2}(x-3))+6$

The graph can be drawn as,

The period will be distance between two consequetive maximas,

$\text{Period}=1-(-3)=4$

Thus, period is correct.

The amplitude can be determined as,

$\begin{gathered} Amplitude=\frac{\max -\min }{2} \\ =\frac{11-1}{2} \\ =5 \end{gathered}$

Thus, amplitue is incorrect.

The range is,

$y\in\lbrack1,11\rbrack$

Thus, the range is correct.

The midline is,

$\begin{gathered} \text{midline}=\frac{\max +\min }{2} \\ =\frac{1+11}{2} \\ =6 \end{gathered}$

Thus, the midline is correct.

Thus, option (b) is the solution.

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1 year ago

I need the anwers to both question A and B

OlgaM077 [116]

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6 0

2 years ago

What is the slope of the line?

ozzi

Answer:

1/2

Step-by-step explanation:

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2 years ago

The perimeter of a rectangle swimming pool is 160 feet. The length of the swimming pool is four times its width . Find the dimen

Helga [31]

Formula for Perimeter of Rectangle:

P = 2(L + W)

Plug in 160:

160 = 2(L + W)

L = 4W
<span>So we can plug in '4W' for 'L' in the first equation.</span>
<span>160 = 2(L + W)

160 = 2(4W + W)

Combine like terms:

160 = 2(5W)

160 = 10W

Divide 10 to both sides:

W = 16

Now we can plug this back into any of the two equations to find the length.

L = 4W

L = 4(16)

L = 64

So the width is 16, and the length is 64.</span>

3 0

2 years ago

Read 2 more answers

A house purchased for $216,500 gains 2% of its value every year. If this growth rate continues, in how many years will the house

NikAS [45]

Answer: 36 years

Step-by-step explanation:

You can use the Rule of 72 to calculate how long it might take the house to double in value.

The Rule of 72 works by dividing 72 by the interest rate as a whole number and the result will be a rough estimate of the time in years it will take for the investment to double in size:

= 72 / 2

= 36 years

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2 years ago