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seraphim [82]
2 years ago
13

Find the inverse of the function. f(x) = 6x3 - 8

Mathematics
1 answer:
Papessa [141]2 years ago
7 0
\bf f(x)=y=6x^3-8\qquad inverse\implies 
\begin{array}{lll}
x=&6y^3-8\\
&\uparrow\\
&\textit{switched variables} 
\end{array}
\\\\\\
x+8=6y^3\implies \cfrac{x+8}{6}=y^3\impliedby taking\ \sqrt[3]{\qquad }
\\\\\\
\sqrt[3]{\cfrac{x+8}{6}}=\sqrt[3]{y^3}\implies \sqrt[3]{\cfrac{x+8}{6}}=y\impliedby f^{-1}(x)
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Kenny has $1,400 in the bank. He earns $150 every week at his afterschool job. What is the rate of change for the scenario descr
Vadim26 [7]
<span>The rate of change would be equal to the amount of money that Kenny is earning every week, since there are no expenses that are removing money from his account. In this case, it would be the $150 that he is putting into the account weekly.</span>
6 0
3 years ago
Can one of you lovely people help me please ?
saveliy_v [14]

Answer:

the answer is

C. = x=22.82

4 0
2 years ago
Read 2 more answers
-6.3x+14 and 1.5x-6<br> answer in simplified form
koban [17]

Answer:

The simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8

Step-by-step explanation:

We have to simplify the following

-6.3x+14 and 1.5x-6

it can be written as:

=(-6.3x+14) + (1.5x-6)

Adding the like terms

=(-6.3x+1.5x)+(14-6)

= (-4.8x)+(8)

= -4.8x+8

So, the simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8

3 0
3 years ago
Benito’s family is thinking of relocating from Los Angeles to Oakland to save money. They set up a budget comparing the cost of
zmey [24]

Total monthly saving = $1,315

<h3>What are savings?</h3>

Saving is the portion of income not spent on current expenditures. In other words, it is the money set aside for future use and not spent immediately.

Given:

                        Oakland     Los Angeles  

Cost Housing       $565        $1200

Food                     $545        $655

Health Care         $245        $495

Taxes                    $450         $625

Other Necessities $350        $495

Now,

Saving in house

= $1200 - $565

= $635

Saving in food

= $655 - $545

= $110

Saving in health care

= $495 - $245

= $250

Saving in taxes

= $625 - $450

= $175

Saving in necessities

= $495 - $350

= $145

Total saving = $635+$110+$250+$175+$145

                    = $1,315

Hence, the monthly savings should be $1,315.

Learn more about this concept here:

brainly.com/question/13096261

#SPJ1

The complete question is

Benito's family is thinking of relocating from Los Angeles to Oakland to save money. They set up a budget comparing the cost of living for both cities. Oakland Los Angeles Budget Item Cost Cost Housing $565 $1200 Food $545 $655 Health Care $245 $495 Taxes $450 $625 Other Necessities $350 $495 Monthly Total How much money will they save monthly by the move to Oakland? $1315 $1560 $1665 $1765?

6 0
1 year ago
1. $1500 earning 7% interest compounded annually for 12 years
ipn [44]

Answer:

$3378.3

Step-by-step explanation:

P= 1500

R= 75

T= 12 years

A= P(1+R/100)^T

A= 1500(1+7/100)^12

A=1500(1.07)^12

A= $3378.3

8 0
3 years ago
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