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Step2247 [10]
2 years ago
10

Lauryn’s wages were not as much as she had budgeted. How can her budget be modified so there will be a positive actual net incom

e?
Mathematics
2 answers:
shutvik [7]2 years ago
6 0

The <em><u>correct answer</u></em> is:

Her variable expenses can be reduced.

Explanation:

In a household budget, you have fixed expenses and variable expenses.

Fixed expenses are expenses that are the same from month to month, such as a car payment, rent, power bill, etc. These cannot be reduced; if you were to pay less on your car payment, your car would be repossessed; paying less than you owe on the power bill can result in your power being disconnected; etc.

Variable expenses are expenses that are different from month to month, such as food, clothing, shopping, etc. If you are dealing with a situation where your wages are less than you anticipate, you can reduce items within your variable expenses to make sure you have enough money. For example, you can purchase fewer clothes that pay period or cut your grocery bill down.

Agata [3.3K]2 years ago
4 0

Answer: Modifing the variable expenses.

Step-by-step explanation:

There are two types of expenses:

Fixed expenses: Such as the rent, internet bill, insurance bill, and things like this. Lauryn can't modify these expenses, so she can not do anything in this area to modify her budget in order to have a net income.

Variable expenses: Are those that can be modified, for example using cheaper fuel in the car, buying cheaper food, cutting the unnecessary expenses, and things like that

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Answer:

The correct option are;

f(x) = x² - 4 and g(x) = x - 3, (f ο g)(2) = -3 and (g ο f)(2) = -3, so the function is commutative

Given f(x) = 4·x and g(x) = x², (f ο g)(x) = 4·x² and (g ο f)(x) = 16·x²

So the function is not commutative

Step-by-step explanation:

For the equations f(x) = x² - 4 and g(x) = x - 3, we have;

(f ο g)(x) = f(g(x)) = (x - 3)² - 4 = x² - 6·x + 9 - 4 = x² - 6·x + 5

At x = 2, we have;

(f ο g)(2) = f(g(2)) = 2² - 6×2 + 5 = - 3

Similarly, we have;

(g ο f)(x) = g(f(x)) = x² - 4 -3 = x² - 7

At x = 2, we have;

(g ο f)(2) = g(f(2)) = 2² - 7 = 4 - 7 = -3

Therefore, by commutative property, we have that the result of an operation does not change by changing the order of the operands such that we have;

a + b = b + a or a·b = b·a from which we have resolved also the following operation is commutative

(f ο g)(2) = (g ο f)(2)

Similarly given f(x) = 4·x and g(x) = x², (f ο g)(x) = 4·x² and (g ο f)(x) = 16·x²

So the function is not commutative

(f ο g)(x) = f(g(x)) = 4·x²

(f ο g)(x) = 4·x²

(g ο f)(x) = g(f(x)) = (4·x)² = 16·x²

(g ο f)(x) = 16·x²

∴ (f ο g)(x) = 4·x² ≠ (g ο f)(x) = 16·x²

(f ο g)(x)  ≠ (g ο f)(x) the function is not commutative.

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2 years ago
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How do you use a number line to solve 235+123
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<span>Number line refers to a mathematical process of solving the equation with the use of lines.
=> 235 + 123
Starting from 0 you count 1 up to 235. Then starting from 235 you additionally count another 123.
Then from zero start counting the total number to the line you stopped when adding 123 to 235.

This simply equals to
=> 235 + 123
=> 358.
Pls. see attached image for illustration of number line.</span>Answer here

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2 years ago
Mark and Sofia walk together down a long, straight road. They walk without stopping for 4 miles. At this point Sofia says their
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Answer:

Sofia is correct.

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On the other hand, Sofia's statement doesn't depend on where they started. She refers to how much they walked, not to where they are after the walking. Since they stopped after 4 non-stopping miles, their displacement was exactly 4 miles. So Sofia is correct.

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This means 1 each dispenser can take 213/312 litres = 0.68L per dispenser.

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Answer:  Explanation and answer is attached.

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