Answer:
(9, -5)
Step-by-step explanation:
The vector AC has coordinates (27, -18), because:
21 - (-6) = 27
-13 - 5 = -18
If the ratio of AB to BC is 5 to 4, it means that
AB = [5/(5+4)]AC = (5/9)AC
Therefore, we have
AB = (5/9)AC = (5/9) (27, -18) = (15, -10)
Which means that:
xB - xA = 15 <=> xB - (-6) = 15 <=> xB + 6 = 15 <=> xB = 9
yB - yA = -10 <=> yB - 5 = -10 <=> yB = -10 + 5 <=> yB = -5
So B has coordinates (9, -5).
Answer:
x = 23/5 OR 4.6
y = 157/15 OR 10.46
Step-by-step explanation:
x = 4x + 6x - 33 = 13
> 10x - 33 = 13
> 10x = 13 + 33
> 10x = 46
y = 4 (25/5) + 3y = -13
> 92/5 + 37 = -13
> 3y = -13 - 92/5
> 3y = - 157/5
So, f(x) is a composite function. This means that g(x) is inside of h(x); in other words, you would substitute g(x) for x in h(x).
Something happened to g(x) (in the form of h(x)) to turn it into f(x). You should notice that f(x) is simply g(x) raised to the third power.
Therefore, h(x) = x^3
You can check this by working it backwards.
Start with: h(x) = x^3
Substitute: x = g(x) = 4x^2-11
Now you have: h(x) = (g(x))^3 = (4x^2-11)^3
Hope this helps!
Ben's gross income was $28,500.
Step-by-step explanation:
Sales for the month = $950000
Commission rate = 3%
Amount of commission = 3% of sales for the month
Amount of commission = 
Amount of commission = 
Amount of commission = $28500
Ben's gross income was $28,500.
Keywords: percentage, division
Learn more about division at:
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