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3 years ago

Determine the equation of the inverse of y= 2^3x-1

Mathematics

1 answer:

MariettaO [177]3 years ago

6 0

Answer:

f^-1(x)= 1/3+In(x)/3 In(2)

Step-by-step explanation:

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There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp

Mariana [72]

Answer:

<em> 15</em>
<em> 42,250</em>

Step-by-step explanation:

The given function is,

$P=40000+300x-10x^2$

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at $\left(-\dfrac{b}{2a},-f\left(\dfrac{b}{2a}\right )\right)$

The value of the function will be maximum at,

$x=-\dfrac{b}{2a}$

Putting the values,

$x=-\dfrac{300}{2\times (-10)}=\dfrac{300}{2\times 10}=\dfrac{300}{20}=15$

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

$P=40000+300(15)-10(15)^2=42,250$

4 0

2 years ago

500 meters divided by 10 days

Flauer [41]

Answer:

50 meters per day

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

I need help again...

Vadim26 [7]

the answer is 2 what you do to the bottom you do to the top

6 0

2 years ago

Read 2 more answers

What is the slope of the line in the graph?

Vilka [71]

Answer:

1 is the slope

according to given graph.

7 0

3 years ago

2. A supermarket display consists of boxes of cereal. The bottom row has 27 boxes. Each row has four fewer boxes than the row be

tresset_1 [31]

Answer:

Step-by-step explanation:

) Nth term = F + (N - 1) x D, where F=First term, N=Number of terms, D=Common difference

6th row = 23 + (6 - 1) x -3

= 23 + (5) x -3

= 23 + (-15)

= 8 - number of boxes in the top row.

b) Sum = N/2[2F + (N - 1) x D]

= 6/2[2*23 + (6 - 1) x -3]

= 3 [46 + (5) x -3 ]

= 3 [46 + -15 ]

= 3 [ 31 ]

= 93 - total number of boxes in the entire display.

4 0

3 years ago