Answer:
<em>The solution is too long. So, I included them in the explanation</em>
Step-by-step explanation:
This question has missing details. However, I've corrected each question before solving them
Required: Determine the inverse
1:
Replace f(x) with y
Swap y & x
Divide through by 25
Replace y with f'(x)
2.
Replace g(x) with y
Swap y & x
Add 1 to both sides
Make y the subject
3:
Replace h(x) with y
Swap y & x
Add to both sides
Multiply through by -4
Divide through by 9
4:
Replace f(x) with y
Swap y with x
Take 9th root
Replace y with f'(x)
5:
Replace f(a) with y
Swap a with y
Subtract 8
Take cube root
Replace y with f'(a)
6:
Replace g(a) with y
Swap positions of y and a
Solve using quadratic formula:
; ;
becomes
Factorize
7:
Replace f(b) with y
Swap y and b
Open Brackets
Solve using quadratic formula:
; ;
becomes
Factorize:
Replace y with f'(b)
8:
Replace h(x) with y
Swap x and y
Cross Multiply
Subtract x from both sides:
Subtract 2y from both sides
Factorize:
Make y the subject
Replace y with h'(x)
9:
Replace h(c) with y
Swap positions of y and c
Square both sides
Subtract 2 from both sides
Make y the subject
10:
Replace f(x) with y
Swap positions of x and y
Cross Multiply
Subtract y from both sides
Add x to both sides
Factorize
Make y the subject
Replace y with f'(x)
Answer:
= 2(2x + 5)
Step-by-step explanation:
Given that:
= (7x + 5) - (3x - 5)
By simplifying
"-" sign before bracket will alter the inner signs
= 7x + 5 - 3x + 5
Adding like terms
= 4x + 10
By taking 2 common we get:
= 2(2x + 5)
i hope it will help you!
Answer:
Step-by-step explanation:
From Bayes' theorem is stated mathematically as the following equation:[2]
{\displaystyle P(A\mid B)={\frac {P(B\mid A)\,P(A)}{P(B)}},}
where A and B are events and P(B) ≠ 0.
P(A) and P(B) are the probabilities of observing A and B without regard to each other.
P(A | B), a conditional probability, is the probability of observing event A given that B is true.
P(B | A) is the probability of observing event B given that A is true.
At this point, go through the attached file before you continue with part B.
Part B)
P(silver) = P(silver from SS)+P(silver from GS)
note P(SS)=P(GG)=P(GS) = 1/3
P(silver from SS) = 1
P(silver from GS) = 1/2
hence
P(Silver from SS) = 1/3
P(Silver from GS) = 1/3 *1/2
P(Silver) = 1/3*1+1/3*1/2
required probability = P(Silver from SS)/P(Silver) = 2/3
If both are similar ratio of sides will be same
Answer:
<h2>Pass = $17.22</h2><h2>Lunch = $8.94</h2>
Step-by-step explanation:
People = 34 + 4 = 38
Pass price per person = 654.36 / 38 = $17.22
Lunch price per student = 303.96 / 34 =$8.94
Pass = $17.22
Lunch = $8.94