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ludmilkaskok [199]
3 years ago
14

The table shows values for functions f(x) and g(x)

Mathematics
2 answers:
andriy [413]3 years ago
6 0

Answer:

Option 2nd and 3rd are correct.

The solutions to f(x) =g(x) are;

x = -2 and x = -1

Step-by-step explanation:

Let x represents the independent variable and f(x) and g(x) represents the dependent variable.

Given the function:

f(x) = 2^(-x) and g(x) = -2x\

we have to find the solution to f(x) = g(x).

From the given table you can see that:

For x = - 2

f(-2) = 4

g(-2) = 4

then;

f(x) = g(x) for x = -2

Also;

For x = - 1

f(-1) = 2

g(-1) = 2

then;

f(x) = g(x) for x =-1

Therefore, the solutions to f(x) =g(x) are, x = -1 and -2

Alecsey [184]3 years ago
5 0
Consider, pls, this solution:
f(x)=g(x) if x= -2 and x= -1, in those case f(x)=g(x)=4 and f(x)=g(x)=2
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
I need help with number 4
Nadusha1986 [10]
\bf \begin{cases}
\quad3x+2y=-9\\
-10x+5y=-5
\end{cases}

so hmm the idea behind the elimination, is to make the value atop or below, of either variable, the same but with a negative sign

so hmmm say... we'll eliminate "y"

so... let's see, we have 2y and 5y, both positive
what do we multiply 2y to get a negative -5y, that way, -5y +5y = 0 and poof it goes

well let's see, let's try "k"     \bf 2yk=-5y\implies k=-\cfrac{5y}{2y}\implies k=-\cfrac{5}{2}

so.. if we multiply 2y by -5/2, we'll end up with -5y

well, let's multiply that first equation then by -5/2

\bf \begin{array}{rllll}
3x+2y=-9&\qquad\times -\frac{5}{2}\implies &-\frac{15}{2}x-5y=\frac{45}{2}\\\\
-10x+5y=-5&\implies &-10x+5y=-5\\
&&---------\\
&&\frac{-35}{2}x+0\quad=\frac{35}{2}
\end{array}\\\\
-----------------------------\\\\
\cfrac{-35}{2}x=\cfrac{-35}{2}\implies \cfrac{-35x}{2}=\cfrac{-35}{2}\implies x=\cfrac{2}{-35}\cdot \cfrac{-35}{2}
\\\\\\
\boxed{x=1}

so.. now we know x = 1.... so let's plug that in  say hmmm 2nd equation

\bf -10(1)+5y=-5\implies -10+5y=-5\implies 5y=5\implies\boxed{ y=1}
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mestny [16]

Answer: the equation is 6+5x=3x+10.

Step-by-step explanation:

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then add 10+6

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