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2 years ago

How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

Mathematics

1 answer:

nignag [31]2 years ago

5 0

Answer:

None

Step-by-step explanation:

-4x-11=2(x-3x)+13

-4x-11=2x-6x+13

-4x-11=-4x+13

-11=13

Therefore, there are no solutions for the equation as both sides will never be equal to each other.

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Solve each equation by taking square roots 2n^2 -8=-33

densk [106]

$2n^2 -8=-33$

$
2n^2=-33+8
 
$ $Add \ 8 \ to \ both \ sides$

$2n^2=-25$

$n^2=- \dfrac{25}{2}$ $Divide \ both \ sides \ by \ 2$

$n=+ \sqrt{ -\dfrac{25}{2} }$ $Take \ the \ square \ root \ of \ both \ sides$

$n=+ \sqrt{ \dfrac{5i}{ \sqrt{2}}}$

5 0

3 years ago

PLEASE HELP!!!! Which of these pair of functions are inverse functions?

Mamont248 [21]

Answer:

Option B and C are correct.

Step-by-step explanation:

Inverse function: If both the domain and the range are R for a function f(x), and if f(x) has an inverse g(x) then:

$f(g(x)) = g(f(x)) = x$ for every x∈R.

Let $f(x) = \frac{1}{2}(\ln(\frac{x}{2}) -1)$ and $g(x) = 2e^{2x+1}$

Use logarithmic rules:

$ln e^a = a$

$e^{lnx} = x$

$\ln a^b = b\ln a$

then, by definition;

$f(g(x)) = f(2e^{2x+1}) =\frac{1}{2}(\ln(\frac{2e^{2x+1}}{2})-1)$ = $\frac{1}{2}(\ln(e^{2x+1}}){-1) = \frac{1}{2} (2x+1-1) =\frac{1}{2}(2x) = x$

$g(f(x)) = g(\frac{1}{2}(\ln(\frac{x}{2}) -1)) = 2e^{2({\frac{1}{2}(\ln(\frac{x}{2}) -1})+1$ $2e^{(\ln(\frac{x}{2}) -1+1}=2e^{\ln(\frac{x}{2})} =2\cdot \frac{x}{2} = x$

Similarly;

for $f(x) = \frac{4 \ln(x^2)}{e^2}$ and $g(x) = e^{\frac{e^2 \cdot x}{8} }$

then, by definition;

$f(g(x)) = f(e^{\frac{e^2 \cdot x}{8}}) =\frac{4 \ln {(\frac{e^2 \cdot x}{8})^2}}{e^2}$ = $\frac{8 \ln {(\frac{e^2 \cdot x}{8})}}{e^2} =\frac{8\frac{e^2\cdot x}{8} }{e^2}=\frac{8e^2 \cdot x}{8e^2}=x$

Similarly,

g(f(x)) = x

Therefore, the only option B and C are correct. As the pairs of functions are inverse function.

3 0

3 years ago

Pls help me I will give out points

marissa [1.9K]

Answer:

A, the first one

Step-by-step explanation:

On the left side, the graph is going closer to 0, that explains the first coordinate 0. On the right side, the graph approaches positive infinity, so that explains the infinity. I hope this helps!

3 0

2 years ago

What is the product? 1/2• [12 64 78 30]

Marina86 [1]

Option C is the right answer

½(12) = 6
½(64) = 32
½(30) = 15
½(78) = 39

4 0

3 years ago

The discount price of a hat is $18.00 what is the regular price?

noname [10]

You gotta put more information out buddy

5 0

2 years ago