Answer:
w = 11/24
Step-by-step explanation:
11/24 + w = 11/12
w = 11/12 - 11/24
LCM of 12 and 24 is = 24
divide the denominators of both fractions by the LCM(24) and then multiply the results with the numerators
so we have w = 22 - 11 /24
w = 11/24
Answer:
g(3) = 9
Step-by-step explanation:
replace 3 in x
g(3) = 2(3) +3 = 6 + 3 = 9
Hope this helps
Numbers 27 and 81 have 27 as common factor which is equal to 3^3. Noting that we can put 27 before brackets write it in form 3^3 and that third root and cube will trim.
![\sqrt[3]{27x - 81} - 5=](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B27x%20-%2081%7D%20%20-%205%3D)
![\sqrt[3]{27(x-3)} - 5 =](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B27%28x-3%29%7D%20%20-%205%20%3D)
![\sqrt[3]{3^3(x-3)} - 5=](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B3%5E3%28x-3%29%7D%20-%205%3D%20)
![3 \sqrt[3]{x-3} - 5](https://tex.z-dn.net/?f=3%20%5Csqrt%5B3%5D%7Bx-3%7D%20-%205%20)
-5 means that graph is shifted 5 to down.
-3 means it is shifted to right by -3
3 and ∛ represent scaling of graph which can be seen and tested once you draw it. It is harder to explain it with words.
Answer:
78
Step-by-step explanation:
Average income from Sunday to Thursday = Rs 75.
There are 5 days .
So average = sum / 5
= sum = 5 average
= sum = 5 × 75
= sum = 375
He earns Rs 93 on Friday .
So adding this sum = Rs 375 + 93
= Rs 468
Average = sum / number of terms
= Average = 468/6
= Average = 78
Hence the average is 78 .
Answer:
T_n = 160(0.05)^(n - 1)
At T_n = 100, n = 1 year
Step-by-step explanation:
We will use geometric progression to solve this question.
Formula for nth term of a GP is;
T_n = ar^(n - 1)
We are told the population of its high school decreases by 5% each year.
This means r = 0.05
senior class has 160 students. Thus a = 160
Thus,T_n = 160(0.05)^(n - 1)
Where n is number of years after now.
We want to find the number of years before the class will have 100 students
Thus;
160(0.05)^(n - 1) = 100
(0.05)^(n - 1) = 100/160
(n-1)In 0.05 = In (100/160)
-2.9957(n - 1) = -0.47
(n - 1) = 0.47/2.9957
n = 1 + 0.1569
n = 1.1569
Approximating to the nearest whole number gives n = 1