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2 years ago

I need help fast I’ll really appreciate it.

Mathematics

2 answers:

fgiga [73]2 years ago

6 0

Answer:

11 : 8

Step-by-step explanation:

3 + 8 = 11

emmainna [20.7K]2 years ago

6 0

Answer:

11:8

Step-by-step explanation:

I think i may be wrong I hope this is right

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PLEASE HELP!!!!<br> 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

Kelsey must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pe

cupoosta [38]

Answer:

Kelsey must produce 34 more pendants.

Step-by-step explanation:

Giving the following information:

Fixed costs= $200

Unitary variable cost= $7.8

Selling price per unit= $13.5

Desired profit= $50

<u>To determine the number of units to be sold, we need to use the break-even point in units formula.</u>

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= (200 + 50) / (13.5 - 7.8)

Break-even point in units= 250/5.7

Break-even point in units= 43.86 = 44

Kelsey must produce 34 more pendants.

3 0

3 years ago

hello i was trying to get the understanding on how is 4-6+6=4,,,,,,,my answer (4-6=2+6=8) but me being in high school i know its

frozen [14]

Thanks for the question!

4 - 6 + 6

We can make this easier by doing it one step at a time. First, lets do 4 - 6.

4 - 6 + 6
-2 + 6

Now, solve:

-2 + 6
4

Hope this helps!

6 0

3 years ago

Translate the Verbal phrase into a Math Expression: Four more than twice a number

alukav5142 [94]

Answer:

2x+4 or 4+2x

Step-by-step explanation:

3 0

3 years ago

Who created Sports Illustrated?

IRISSAK [1]

Answer:

henry lucr did

please brainlist

8 0

3 years ago

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