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Sphinxa [80]
2 years ago
15

If f(x)=x2-2x and g(x)=6x=4, for which value of x does (f+g)(x)=0

Mathematics
2 answers:
zhenek [66]2 years ago
7 0
X = -2
hope it helps (: 
diamong [38]2 years ago
3 0

Answer:  The required value of x is - 2.

Step-by-step explanation:  We are given the following two functions :

f(x)=x^2-2x,~~~~~g(x)=6x+4.

We are to find the value of x for which (f + g)(x) = 0.

We know that for any two functions p(x) and q(x), the following property holds true :

(p+q)(x)=p(x)+q(x).

We have

(f+g)(x)=0\\\\\Rightarrow f(x)+g(x)=0\\\\\Rightarrow x^2-2x+6x+4=0\\\\\Rightarrow x^2+4x+4=0\\\\\Rightarrow (x+2)^2=0\\\\\Rightarrow x+2=0,~~~x+2=0\\\\\Rightarrow x=-2,~-2.

Thus, the required value of x is - 2.

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Answer:

<em>h=12, w=24, t=8</em>

Step-by-step explanation:

<u>System of Linear Equations </u>

We have 3 unknown variables and 3 conditions between them. They form a set of 3 equations with 3 variables.

We have the following data, being  

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The first condition states the price of a sweatshirt is twice the price of a pair of shorts. We can write it as

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The second condition states the price of a T-shirt is $4 less than the price of a pair of shorts. We can write it as

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The final condition states Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for $136, thus

\displaystyle 3w+2h+5t=136

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