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alexira [117]
4 years ago
6

What is the value of the function f(x) = 2x^2 + 3 when x = 2?

Mathematics
2 answers:
professor190 [17]4 years ago
8 0
2*2^2+3                                  PEMDAS
2*4+3
8+3
11
 
Answer is 11

puteri [66]4 years ago
8 0
F(2)= 2x^2 + 3 = 11

Hope this helps!
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What is the equation of the line perpendicular to 3x+y=6 that passes through the point (0,8)​
Alekssandra [29.7K]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

3x + y = 6

y =  - 3x + 6

The coefficient of x is the slope of the line , So the slope of the above equation is -3 .

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Remember from now on ,

Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .

Thus ;

( - 3) \times (m) =  - 1

m is the slope of the line which we want.

- 3m =  - 1

Negatives simplifies

3m = 1

Divide sides by 3

\frac{3m}{3}  =  \frac{1}{3}  \\

m =  \frac{1}{3}  \\

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We have following equation to find the point-slope form of the linear functions :

y - y(0) = m(x - x(0))

x(0) and y(0) are the coordinates of the point which the line passed through.

y  - 8 =  \frac{1}{3} (x - 0) \\

y - 8 =  \frac{1}{3} x \\

Add sides 8

y =  \frac{1}{3} x + 8 \\

Done....

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A piece of timber is x cm long. 7 cm is cut off. How much is left?
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Answer:

x-7>0

Straight answer: x-7

Step-by-step explanation:

Assuming that the timber is X cm long and 7cm was cut off, there remaining amount is x - 7cm. In order for 7cm to be cut off, the timber must have been > 7cm long => x > 7 => x - 7 > 0

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From the quadratic equation 3x² + X - 5 = 0, find alpha square plus beta square​
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Answer:

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Step-by-step explanation:

Assuming α and β are solutions to the equation, it can be factored as ...

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Expanding this, we get ...

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Dividing the original equation by 3, we find ...

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We know that the square (α+β)² can be expanded to ...

  (α +β)² = α² +β² +2αβ

  α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ

Substituting the values for (α+β) and αβ, we find the desired expression is ...

  α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9

  α² +β² = 3 4/9

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2 years ago
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