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NikAS [45]
2 years ago
11

Evaluate the function f(x) = 3x2− 2x for x= 4.

Mathematics
1 answer:
kykrilka [37]2 years ago
6 0

Answer:

40

Step-by-step explanation:

f(4) = 3(4²) - 2(4)

= 3(16) - 8

= 48 - 8

= 40

when x=4, f(x) = 40

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The owner of an orange grove estimates that if 24 trees are planted per acre, then each mature tree will yield 600 oranges per y
tia_tia [17]

Answer:

16428 oranges

Explanation:

Total yield = number of trees × number of oranges in each tree

Initial yield = 600×24= 14400 oranges

To find the equation needed, let x = additional trees and y= total yield

Number of trees = 24 +x

Number of oranges in each tree = 600-12x

Equation of total yield y= (24+x)(600-12x)

y= 14400-288x+600x-12x²

y= -12x²+312x+14400

Using a graphing calculator, from the graph drawn for this quadratic equation, we notice that it is a parabola. Therefore to find the maximum value, we should find the maximum point which is at the vertex of the parabola, we use the formula x= -b/2a

A quadratic equation is such: ax²+bx+c

Therefore x =-312/2×-12

x= -312/-24

x= 13

So we can conclude that in order to maximise oranges from the trees, the person needs to plant an additional 13 trees. Substituting from the above:

24+x=24+13= 37 trees in total

y= -12x²+312x+14400= -12×13²+312×13+14400= -2028+4056+14400

=16428 oranges in total yield

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