X=-6
1(x-4) over 5 =-2
Multiply all terms by the denominator to get simplified x-4=-10
Add 4 to each side to get x=-6
Answer:
(-5,-7)
Step-by-step explanation:
See image for explanation
Answer:
D
Step-by-step explanation:
Here, we want to know the total amount of money shared
Total ratio is 2 + 4 + 9 = 15
Now, John and Peter with ratios 2 and 4 equals $360
If we combine their ratios, what we have would be
6:9
Let the amount shared be x
Now, mathematically
6/15 * x = 360
6x = 15 * 360
x = (15 * 360)/6
x = $900
<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