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3 years ago

Jack has a rectangular sticker that is 6 centimeters long and 4 centimeters wide.

Mathematics

1 answer:

Solnce55 [7]3 years ago

8 0

Its c because 6*4 = 24
Thats how you find the area

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5. How much would d dollars earn in one year at thē rate of p percent compounded annually?

pshichka [43]

Answer:

Step-by-step explanation:

7 0

2 years ago

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

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction

tiny-mole [99]

$\frac{7}{24}$ ÷ $\frac{35}{48}$
Multiply $\frac{7}{24}$ by the reciprocal of $\frac{35}{48}$ , which is $\frac{48}{35}$

= $\frac{7}{24}$ × $\frac{48}{35}$
= $\frac{336}{840}$

We can simplify it further:
The greatest common factor here is 168
$\frac{336/168}{840/168}$

= $\frac{2}{5}$

4 0

3 years ago

Find the value of c that completes the square.<br> n2- 26n + c

saul85 [17]

Step-by-step explanation:

b^2=4ac

b= -26, a=1, c=?

-26^2=4*1*c

676=4c

c=676/4

c=169

4 0

3 years ago

Which of the following ordered pairs is a solution of x + y = 1?

scZoUnD [109]

Answer:

idk if there are other options, but none of these would be the answer

Step-by-step explanation:

-2 + 6 = 4

-2 + -6= -8

2 -6 = -4

5 0

3 years ago

Read 2 more answers