Answer:
<em>Correct answer:</em>
<em>A. I and II</em>
<em></em>
Step-by-step explanation:
First of all, let us have a look at the steps of finding inverse of a function.
1. Replace y with x and x with y.
2. Solve for y.
3. Replace y with 
Given that:
Now, let us find inverse of each option one by one.
I. y = x, a(x) = x
Replacing y with and x with y:
x = y
x = 
= 
Hence, I is true.
II. 
Replacing y with and x with y:
= Hence, II is true.
III. 
Replacing y with and x with y:
Hence, III is not true.
IV. 
Replacing y with and x with y:
![x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)](https://tex.z-dn.net/?f=x%20%3Dy%5E%7B3%7D%5C%5C%5CRightarrow%20y%20%3D%20%5Csqrt%5B3%5D%20x%5C%5C%5CRightarrow%20a%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%7D%20%5Cne%20a%28x%29)
Hence, IV is not true.
<em>Correct answer:</em>
<em>A. I and II</em>
<em></em>
The system of inequalities can model Gabrielle’s situation is;
x + 2y ≤ 20
x + 2y ≤ 203x + 2y ≤ 21
<h3>Inequality</h3>
It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.
By setting variables as follows;
- batches of brownies = x
- batches of cookies = y
Brownie:
Sugar = 1 cup
Eggs = 2
Cookie:
Sugar = 3 cups
Eggs = 2
x + 2y ≤ 20
x + 2y ≤ 203x + 2y ≤ 21
Learn more about inequality:
brainly.com/question/25275758
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The answer is (4v+2)*(2v-16)
Answer:
It will take Jack 74 minutes(1 hour and 14 minutes) to complete the task
Step-by-step explanation:
From the question, we know that he has 1000 envelopes to stuff.
Now, he has already stuffed 112 out of the 1000. Number of envelopes left to be stuffed will be 1000 -112 = 888 envelops
We were told that it takes him 1 minute to stuff 12 envelopes.
Let the time it will take him to stuff 888 envelopes be x minutes;
Let’s have a relationship here;
12 envelopes = 1 minute
888 envelopes = x minutes
12 * x = 888 * 1
12x = 888
x = 888/12
x = 74 minutes
