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OLga [1]
3 years ago
13

Evaluate the function f(x)=x^2+6x+2 at the given values of the independent variable and simplify.

Mathematics
1 answer:
____ [38]3 years ago
6 0

Answer:

a) 18

b)x^2+10x+18

c)x^2 -6x+2

Step-by-step explanation:

This is a case of plugging in the value into f(x).

a) f(-8)= -8^2 + 6(-8) +2

f(-8)= 64 + (-48) +2

f(-8)=64 + (-46)

f(-8)=18

b)  f(x+2)= (x+2)^2+6(x+2)+2

So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.

    f(x+2)= x^2+4x+4+6x+12+2

I'll reorder it

 f(x+2)= x^2+4x+6x+12+2+4

    f(x+2)= x^2+10x+18

c) f(-x)= -x^2+6(-x) +2

f(-x)= x^2 -6x+2

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How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?
Harlamova29_29 [7]
The answer
f(x) = 0.7(6)x = <span>f(x) = 0.7(6)^x, and  </span><span>g(x) = 0.7(6)–x= </span>g(x) = 0.7(6)^-x=1/<span>0.7(6)^x
so </span>
g(x) =1/<span>0.7(6)^x=1 /</span><span><span>f(x)

</span> the relationship between f and g are </span>g(x) =1 /<span>f(x) or </span><span>g(x) . <span>f(x) = 1</span> </span>






7 0
4 years ago
Read 2 more answers
Plz help ASPA and explain plz
Elis [28]
90° is the correct answer
4 0
4 years ago
tres amigos reinaldo, yasir y jefferson tienen como profesiones medico, ingeniero y profesor, sin que sepamos cual de ellas corr
zimovet [89]

Answer:

Reinaldo es ingeniero

Step-by-step explanation:

Por los datos del problema sabemos que Jeferson es casado. También sabemos que el profesor se casará pronto, así que:

Jeferson no es profesor

Reinaldo debe tomar el metro para visitar al médico, así que no es vecino de ninguno. Como el médico y el profesor son vecinos, entonces Reinaldo no es médico ni profesor, asi que

Reinaldo es ingeniero

Podemos saber además que si Jeferson no es profesor (ya demostrado) ni tampoco es ingeniero, entonces

Jeferson es médico

Por descarte, Yasir es profesor

4 0
4 years ago
How many solutions does the following system of equations have?. y=5/2x+2. 2y=5x+4. A) One. B) Two. C) Zero. D) Infinitely many
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Y = 5/2 x + 2
2 y = 5 x + 4  ( we will use the substitution method )
2 ( 5/2 x + 2 ) = 5 x + 4
5 x + 4 = 5 x + 4
0 · x = 0
x , y ∈  R
Answer : C ) infinitely many solutions.
8 0
3 years ago
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I BET YOU CANT SOLVE THIS...
e-lub [12.9K]
The answer is 61 7/20
8 0
3 years ago
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