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Sliva [168]
3 years ago
10

Evaluate the function f (x) = -4x + 9 at f (3).

Mathematics
2 answers:
sweet [91]3 years ago
4 0
Substituting 3 for x:
-4(3)+9
-12+9
-3
Umnica [9.8K]3 years ago
3 0
<span>Plug in f(x) = 3 to solve 

</span>f (x) = -4x + 9

3 = -4x + 9 

3-9=-4x 

-6=-4x 

-6/-4=x 

6/4=x 

3/2=x 

x=3/2
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What are the real and complex solutions of the polynomial equation? x^3-8=0. with imaginary numbers
seraphim [82]

Answer:

Solutions are 2,  -1 +  0.5 sqrt10 i  and -1 - 0.5 sqrt10 i

or 2,  -1 +  1.58 i  and -1 - 1.58i

(where the last 2 are equal to nearest hundredth).


Step-by-step explanation:

The real solution is x = 2:-

x^3 - 8 = 0

x^3 = 8

x = cube root of 8 = 2

Note that a cubic equation must have  a total of 3 roots ( real and complex in this case).  We can find the 2 complex roots by using the following identity:-

a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Here  a = x and b = 2 so we have

(x - 2)(x^2 + 2x + 4) = 0

To find the complex roots we solve x^2 + 2x + 4 = 0:-

Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2

= -1 +/- (sqrt( -10)) / 2

= -1 +  0.5 sqrt10 i  and -1 - 0.5 sqrt10 i

4 0
2 years ago
Read 2 more answers
What is 20x8 divided by 3-5
german

Answer:

-80

Step-by-step explanation:

→ Complete the multiplication

20 × 8 = 160

→ Complete the take away

3 - 5 = -2

→ Divide the two answers from each other

160 ÷ -2 = -80

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2 years ago
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kirza4 [7]
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Paha777 [63]
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3 years ago
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