Mathematics, 19.04.2020 08:18, gl0man

F(x) = 8-4x+X²
g(x) = 2x² +5x-1
find f(x) + g(x)

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answered: mahaypatto

" $3x^{2} -4x +7$ " .

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Step-by-step explanation:

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We are to find the following sum:

Add: f(x) + g(x) .

Given: $f(x)= 8-4x +4x^{2}$ ;

Rewrite as follows:

$f(x) =x^{2}-4x+8$ ;

{Note: Since: $f(x) = +8 + (-4x) + x^{2}$ ; we can rearrange the terms;

and rewrite by starting in the order of the highest degree monomial

(i.e., the term among the 3 (three) monomials containing the variable with the highest exponential value—which is: " $x^{2}$ " ; and continue in descending order; with " $(-4x^{1})$ " ; which is: " -4x " ; [with the 'implied exponent of "1" ; since any value, raised to the exponent, "1" ; ["first power"]; resulting in that same value. Then, we finish with the last monomial, " (+8x^0) "; which is: "(+8x) " —with the implied exponent of "0" ; since any non-zero value; raised to the "0th" exponent ['raised to the power of zero']; results in the value of "1" .

→ As such: " +8x = +8x⁰ " ;

↔ " +8x⁰ = (+8) * (x⁰) = (+8) * (1) = " (+8) ;

→ {since any value, multiplied by "1" ; results in that same value; this refers to the "identity property" of multiplication.}.

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So, plug in: " $x^{2}-4x+8$ " ; for: " f(x) " ;

And plug in the given: " $2x^{2} + 5x -1$ " ; for " g(x) " ;

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And add the sum:

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→ $f(x) +g(x) = (x^{2}-4x+8)+(2x^2+5x-1)$ ;

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$= x^{2} -4x+8+2x^{2} -1$ ;

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→ Now, combine the "like terms" ; and simplify:

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→ $+x^{2} +2x^{2} =+3x^{2}$ ;

→ -4x ; stands alone;

→ +8 -1 = + 7 ;

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→ Now; we have accounted for All of the terms in our expression;

and we can write out our

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→ which is: " $3x^{2} -4x +7$ " .

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Hopefully—this answer and explanation is helpful to you.

Wishing you the best in your academic pursuits!

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answered: Guest

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle

answered: Guest

answer

the correct answer is

$x=-5,x=7$