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nika2105 [10]
3 years ago
7

If f(x) = 2x 2 + 3, find f(3). 31 15 21 39

Mathematics
2 answers:
Westkost [7]3 years ago
7 0
21 is the right answer goodluck
Mekhanik [1.2K]3 years ago
4 0

Answer: 21

Step-by-step explanation:

We are given a function f(x) = 2x^2 + 3

To find the value of f(3), we need to substitute x=3 in the given function, we get

f(3) = 2(3)^2 + 3\\\\\Rightarrow\ f(3)=2(9)+3..............[\text{Since}\ 3^2=9]\\\\\Rightarrow\ f(x)=18+3..............[\text{Since}\ 2\times9=18]\\\\\Rightarrow\ f(x)=21..........[\text{Addition property}]

Hence, the value of f(3) = 21.

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A square garden has an area of 400 square feet. Each side of the garden is (x-10) feet in length.
Mandarinka [93]

Answer:

400 = (x - 10)²

x² -20x -300 = 0

x = 30 and x = -10

Length side of the garden = 20 feet

Step-by-step explanation:

Given:

Area of square garden = 400 square feet

Length side of the garden = (x - 10) feet

Find:

Length side of the garden

Computation:

Area of square = side²

Area of square garden = Length side of the garden²

400 = (x - 10)²

400 = x² -20x + 100

x² -20x -300 = 0

x² -30x  + 10x -300 = 0

x(x - 30) + 10(x - 30) = 0

(x - 30)(x + 10) = 0

So,

x = 30 and x = -10

Use x = 30 positive number

Length side of the garden = (x - 10) feet

Length side of the garden = (30 - 10) feet

Length side of the garden = 20 feet

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