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3 years ago

What is the range of the function y = 1 + 2sin(x -pi )?

2 answers:

6 0

Sin(x-pi) always range from -1 to 1

which means :

y = 1 + 2 (-1 to 1)

y = 1 + (-2 to 2)

y = -1 to 3

hope this helps

emmainna [20.7K]3 years ago

3 0

Answer:

The range of the function 1+2sin(x-π) is:

[-1,3]

Step-by-step explanation:

We have to find the range of 1+2sin(x-π)

sin(x-π)= -sin(π-x) (since sin(-x)= - sinx )

now, sin(π-x)=sinx

since, the value of sinx lies between -1 and 1

i.e. -1≤sinx≤1

⇒ -2≤2sinx≤2 (multiplying by 2)

⇒ -1≤1+2sinx≤3 (adding 1 on both sides)

Hence, the range of the function 1+2sin(x-π) is:

[-1,3]

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a flat rectangular piece of aluminum has a perimeter of 64 inches. the length is 10 inches longer than the width. find the width

I am Lyosha [343]

Answer:

The width of the piece is 11 inches

Step-by-step explanation:

Let

x ----> the length of the rectangular piece of aluminum in inches

y ----> the width of the rectangular piece of aluminum in inches

we know that

The perimeter of the rectangular piece of aluminum is equal to

$P=2(x+y)$

we have

$P=64\ in$

$64=2(x+y)$

simplify

$32=x+y$ ----> equation A

$x=y+10$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$32=y+10+y$

solve for y

$32=2y+10$

$2y=32-10$

$2y=22$

$y=11$

therefore

The width of the piece is 11 inches

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3 years ago

You are selling cookies for your organization. One box of cookies is sold for $3. Thirty percent of the sale price goes to the b

choli [55]

A) Your organization gets half of the revenue after 30% is deducted. You get ...
(1/2)×($3 - 0.30×$3) = (1/2)×$3×0.70 = $1.05 for each box of cookies

B) If the number you must sell to earn $100 is represented by n, then you have
$1.05×n = $100
n = 100/1.05 ≈ 95.24
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3 years ago

Plot function f on the graph f(x) = |1/2x - 2|

Assoli18 [71]

Answer:

See attached

Step-by-step explanation:

<u>Given function:</u>

f(x) = |1/2x - 2|

The function is plotted and it is below.

8 0

3 years ago

Bianca’s Bike Shop made a profit of $54,000 last year. This year, the profits were 250% of last year’s. How much profit did Bian

Alexandra [31]

Since the percent increase is bigger than 100%, it definitely has to be more than 54,000.

so let's break this down:
250%= 100% + 100% + 50%

we know 100% is the whole price so if there are 2 100% we have to multiply the price by two!!!
54,000•2 = 108,000

now, 50% is half of the whole price, divide the price by two:
54,000÷2= 27,000

so add your results and you will get this!
108,000+27,000= 135,000

4 0

4 years ago

Read 2 more answers

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