A stop sign has a total of 8 sides measuring 12.4 inches on
each side and 30 inches for the distance of each sides.
Given the measurement, the rectangle's dimensions are as
follows:
If divided horizontally: Length = 12.4 inches, width = 30
inches
If divided vertically: Length = 30 inches, width = 12.4
inches
From the divided rectangle, we can produce a 3-side equal
trapezoid. In this case, we will have a uniform measurement of 12.4 inches on
each side and 30 inches for the longer side.
Answer:
7 years
Step-by-step explanation:
Suri's age=17 years
Her cousin's age =c
Suri's age is 4 less than 3 times her cousin's age
4 less than 3 times her cousin's age means subtract 4 from 3 times her cousin's age
17=3c - 4
Find c which is her cousin's age
Add 4 to both sides
17+4=3c - 4 + 4
17+4=3c
21=3c
Divide both sides by 3
21/3=3c/3
7=c
Therefore,
C= 7
Her cousin's age = 7 years
2.50x = Ethan’s total sold -6 (15/2.50=6)
2x = Chloe’s total sold
2.50(12) = 30 - 6 = 24
2(12) = 24
They both sold 12 candy bars
The c+5 should represent the five more cds that he has thats more than julias
Answer:
<h2>It must be shown that both j(k(x)) and k(j(x)) equal x</h2>
Step-by-step explanation:
Given the function j(x) = 11.6
and k(x) = 
, to show that both equality functions are true, all we need to show is that both j(k(x)) and k(j(x)) equal x,
For j(k(x));
j(k(x)) = j[(ln x/11.6)]
j[(ln (x/11.6)] = 11.6e^{ln (x/11.6)}
j[(ln x/11.6)] = 11.6(x/11.6) (exponential function will cancel out the natural logarithm)
j[(ln x/11.6)] = 11.6 * x/11.6
j[(ln x/11.6)] = x
Hence j[k(x)] = x
Similarly for k[j(x)];
k[j(x)] = k[11.6e^x]
k[11.6e^x] = ln (11.6e^x/11.6)
k[11.6e^x] = ln(e^x)
exponential function will cancel out the natural logarithm leaving x
k[11.6e^x] = x
Hence k[j(x)] = x
From the calculations above, it can be seen that j[k(x)] = k[j(x)] = x, this shows that the functions j(x) = 11.6 and k(x) = are inverse functions.
