2 years ago

For this question, f(x) = 4kx2 + (4k + 2)x + 1, where k is a real constant.

Mathematics

1 answer:

snow_tiger [21]2 years ago

6 0

Answer:

fghhjhhfgkus+($+#($!?$)

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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

The O! Natural Company sells a juice 1-gallon Bottles. The current retail price of the juice is $3.50 for 1 gallon. In order to

vodomira [7]

I would say 19 because 300 is the right way

4 0

2 years ago

John's salary is $1250 a month plus a 5% commission on all his sales. What must the amount of his sales be to earn at least $150

rewona [7]

Answer:

5,000

Step-by-step explanation:

5,000 x .05 = 250

250 + 1,250 = 1,500

3 0

1 year ago

Jasmine bought 32 kiwi for $16. How many kiwi can Lisa buy if she has $4?

Elanso [62]

32 kiwi = $16 Divide by 16 on both sides
2 kiwis = $1 Multiply times 4 on both sides
8 kiwis = $4
Hope that helps you

3 0

2 years ago

Read 2 more answers

What is the value of 3-(-2)?

Fed [463]

Answer:

Step-by-step explanation:

distribute the negative to ger 3(2), since a negative times a negative is positive. Then just multiply

6 0

2 years ago