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Agata [3.3K]
3 years ago
7

Find the inverse f(x)=8-9x

Mathematics
1 answer:
Sati [7]3 years ago
4 0

Answer:

{f}^{ - 1} (x) =  -  \frac{1}{9} x  +  \frac{8}{9}

Step-by-step explanation:

f(x) = 8 - 9x

y = 8 - 9x

x = 8 - 9y

8 - 9y = x

- 9y = x - 8

y =  -  \frac{1}{9} x +  \frac{8}{9}

\boxed{\green{{f}^{ - 1} (x) =  -  \frac{1}{9} x  +  \frac{8}{9}}}

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Henry has a 88 average after 7 assignments in his class. He would like
dimulka [17.4K]

Answer: He need to score 100 in next assignment to can get an A.

Step-by-step explanation:

Given: Average marks till now = 88%

Average = (sum) divided by (Number of observations)

Here, number of assignments =7

So, 88=\dfrac{(sum)}{7}\Rightarrow\ sum =88\times7= 616  (i)

After next assignment, number of assignments = 8

Required Average = 89.5

89.5=\dfrac{sum}{8}\Rightarrow\ sum = 89.5\times8= 716   (ii)

(ii)-(i) gives 100

So, he need to score 100 in next assignment to can get an A.

5 0
3 years ago
Suppose you have a coin collection of dimes and quarters containing 46 coins. If you have 6.70 dollars, how many of each type of
NNADVOKAT [17]

Answer:

The number of dimes = 32

The number of quarters  = 14

Step-by-step explanation:

Here, the total number of coins combined = 46

Let us assume the number of dimes = m

So, the Number of quarter = Total Coins - Number of dimes  = 46 - m

Now,as we know:

1 dime = $0.1

So, m dimes  = m x ($0.1) = $(0.1 m)

1 Quarter  = $0.25

So, ( 46 - m ) Quarters  = (46 - m ) x ( $ 0.25)   = 11.5 - 0.25 m

Also, given the total amount of coins = $ 6.70

⇒ Value of (Dimes + Quarters) = $ 6.70

or, (0.1 m) +  11.5 - 0.25 m  = 6.70

-0.15 m = - 4.8

or, m = 4.8/0.15  =  32

⇒ m = 32

Hence, the number of dimes = m = 32

And the number of quarters  = 46 - m= 46 -32 = 14

4 0
3 years ago
An ice tray holds 12 ice cubes. If the total volume of the ice in the
AVprozaik [17]

Answer:

the cubes are 1 in on all sides

but...

since there's gaps its more likely that there a 1/2 in or 3/4 in

Step-by-step explanation:

12/12=1

3 0
3 years ago
Read 2 more answers
HELP!!! Plz
ivanzaharov [21]

Answer:

1.$400.00 2.$4,000.00

Step-by-step explanation:

Scenario: Your team has been hired to provide financial analysis for a start-up company, Bobble in Style, which produces customized bobble heads. The bobble heads are made out of less rigid materials and are more true to life than those of competitors. The company inventors, Mr. and Mrs. Lee, are going to pitch their idea to Shark Tank in a few months, but first they need to have a better understanding of the business financials. The Lee’s are already creating and selling their product from their home-based office and work area. They know what costs are involved with making the bobble heads on a small scale, but they don’t have an understanding of financial figures beyond basic costs. They need you to make sense of various financial figures for them.

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Shipping Fees = $1,000/month

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Travel Expenses for Conference (e.g. airfare, meals, taxi) = $1,200

Utilities for the Home Workshop = $105/month

Break-Even Analysis: You have been asked to calculate how many units need to be sold to break even, based on the costs provided in task #3. Assume that only one conference will be attended and the estimated expenses associated with this conference are on target. Also assume that the value for total units per year is based on sales of 70 units per month. Therefore total units sold per year are 840. The selling price per unit is $79.

4 0
3 years ago
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LekaFEV [45]
15*1.04=15.6
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