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denpristay [2]
4 years ago
5

What function is the inverse of f(x)=x2-16

Mathematics
1 answer:
Vera_Pavlovna [14]4 years ago
5 0
For inverse functions, switch the position of x and y, and solve for y.
y= x^2-16
x= y^2-16
x-16 = y^2 
\sqrt{x-16} =  \sqrt{y^2}
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Jonathan bought a Gucci belt in Chinatown for $35.00. The belt was on sale for ⅓ off the regular price. Then, an additional 8% w
leonid [27]

Answer:

<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount Jonathan paid for the belt = $ 35

Discount = 1/3 off the regular price

Coupon = additional 8% = 0.08

2. How much did the Gucci belt cost Jonathan? Show your work or explain how you know.

We assume the question is asking for the original price of the belt, then we make this calculation:

Amount Jonathan paid for the belt = (Original price - Discount) - Coupon

Replacing with the values we know:

Original price = x

35 = (x - 1/3x) - 0.08x

35 = 2/3x - 0.08x

35 = 0.67x - 0.08x

35 = 0.59x

x = 35/0.59

x = 59.32

<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>

4 0
3 years ago
Please help! Thank youu!!!
Hatshy [7]

Answer:

y=\frac{x}{4}

x=4y

x=4(4)=16

x=4(2)=8

x=4(9)=36

x |   y

16   4

8     2

36   9

<u>------------------------</u>

hope it helps...

have a great day!!!

<u />

3 0
3 years ago
Read 2 more answers
Belinda finds a CD with 2.8% APR compounded annually. How much money will Belinda invest in this CD if she wants to have a yearl
Valentin [98]
Belinda will need to use the simple compounding formula to get the yearly income of $3500. 
Present amount = Future amount /(1+interest)^payments
where
Future amount = $35000
interest = 2.8%
payments = 1
Subsitute all the given values, we will get the present amount
Present amount of CD = $34,046.7


7 0
3 years ago
Graphing Logarithmic Function In Exercise,sketch the graph of the function.See example 1.
Elenna [48]

Answer:

The graph of given function is shown below.

Step-by-step explanation:

The parent natural logarithmic function is

f(x)=\ln x

The given function is

y=5+\ln x

It means

y=5+f(x)              .... (1)

The translation is defined as

g(x)=kf(x+a)+b                .... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2) we get

b=5

It means the graph of parent function shifts 5 units up to get the graph of given function.

Table of values:

x               y

0.25     3.614

0.5       4.307

 1             5

 2         5.693  

Plot these points on a coordinate plane connect then by a free hand curve.

The graph of given function is shown below.

5 0
3 years ago
A circuit board manufacturer can produce 2,000 boards per hour. How many days will it take to produce 16,500 if the company has
mrs_skeptik [129]
Hi <span>Mrsdiaz1jd1977owwfvt!
OK so 2,000 boards per hour in 10 hours is 2,000*10=20,000 boards in 10 hours. So it can produce 16,500 boards in less than a day.
I may be wrong but I hope this helps!</span>
5 0
4 years ago
Read 2 more answers
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