Answer:
The step to take to avoid fraction is to solve for y in equation 2
Step-by-step explanation:
Given
-9x+ 4y =- 10
-9x+ 3y = 3
Required:
Step for solving using substitution (avoiding fraction)
Let -9x+ 4y =- 10 represent equation 1
and -9x+ 3y = 3 represent equation 2
The following points are to be noted
- Solving for x or y in equation 1 will definitely lead to having fractions
- Solving for x in equation 2 will also lead to having fractions
Having said that, the step to take to avoid fraction is to solve for y in equation 2
Check
Add 9x to both sides
Divide through by 3
Split fraction
<em>At the point, the expression of y can then be substituted in equation 1</em>
Answer: a, d,
Step-by-step explanation:
An example of a direct variation scenario is the increase in the income of a start-up bakeshop when the number of cakes sold increase. Example data are (4, $ 100), (5, $ 125), (6, $ 150), and (7, $ 175).
The example of indirect variation scenario is the decrease in time it takes to reach a destination when the speed of the mobile increases. This is shown in the data points: (10 kph, 10 mins), (12 kph, 8 mins), (14 kph, 6 mins), and (16 kph, 4 mins).
<h3>
Answer: D) h(x) = (1/4)x</h3>
This is the same as h(x) = x/4
In decimal form, it would be h(x) = 0.25x
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Explanation:
Inverses undo the original function. The original function tells us to take any input (x) and multiply by 4 to get the output y = f(x) = 4x
To get the inverse, we reverse the operation applied here. The opposite of multiplication is division. So we'll divide by 4 instead of multiply by 4. This is why the answer is x/4 or (1/4)x
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Another approach is to do the following: Replace f(x) with y. Swap x and y. Solve for y
f(x) = 4x
y = 4x
x = 4y
4y = x
y = x/4
h(x) = x/4
We end up with the same result as before.
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Extra info:
For any real number x, the following two equations are true
h( f(x) ) = x
f( h(x) ) = x
Answer:
Step-by-step explanation:
This is just 2 part:
1. Raise "10" to the 4th power
2. Subtract expression of #1 from "f"
So,
we have f
and we have 10^4
Now we subtract 10^4 from f, thus we have:
That's simply it.
