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kotykmax [81]
3 years ago
7

F(3)= 5x^2 - 4x + 9 evaluate this quadratic function

Mathematics
1 answer:
Neporo4naja [7]3 years ago
6 0

Answer:

f(3) = 38

Step-by-step explanation:

Given the quadratic function

f\left(x\right)=\:5x^2\:-\:4x\:+\:9

Evaluating the quadratic function

f\left(x\right)=\:5x^2\:-\:4x\:+\:9

substitute x = 3

f\left(3\right)=\:5\left(3\right)^2\:-\:4\left(4\right)\:+\:9

f(3) = 45-16+9

f(3) = 38

Therefore,

  • f(3) = 38
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Answer:

<u>For</u><u> </u><u>A</u>

{ \rm{6 {x}^{2}(x + 1) - 2x(x + 1) }}

• The equation above has a common bracket "(x + 1)". So, let's first factorise out that bracket:

\dashrightarrow \: { \rm{(x + 1) \{6 {x}^{2} - 2x \} }}

• now in the second bracket, the common factor is x and 2.

\dashrightarrow \: { \rm{(x + 1) \{2x(3x - 1) \}}}

• Final answer;

{ \boxed{ \boxed{ \rm{ \dashrightarrow \: 2x(x + 1)(3x - 1) \:  \: }}}}

<u>For</u><u> </u><u>B</u>

{  \rm{3(x - 1)(x + 2) + ( {x}^{2} - x)(x + 2) }}

• In the equation, the common bracket is (x + 2).

So let's first factorise it out:

\dashrightarrow \: { \rm{(x + 2) \{3(x - 1) + ( {x}^{2}  - x) \}}} \\  \\ { \rm{(x + 2) \{3(x - 1) + x(x - 1) \}}}

• In the second major bracket, the common bracket is (x - 1). so factorise it out:

{  \rm{(x + 2) (x - 1) \{3 + x \}}}

• Final answer:

{ \boxed{ \boxed{ \rm{ \dashrightarrow \: (x + 2)(x  + 3)(x - 1) \:  \: }}}}

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3 years ago
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Step-by-step explanation:

Are thoses X's multiplication

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When solving for the missing length, just substitute the values given to their respective places in the equation. If a length of a leg is missing, then substitute the other leg's value to either a or b, then substitute the length of the hypotenuse to c. Then solve. Solving for the hypotenuse's length would be a lot easier than the legs.
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