Answer:
f(x)=x-6
Step-by-step explanation:
Given : Parent function : 
To Find : If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?
Solution:
Parent function :
Shift the given function down by 6 units.
Rule : The graph f(x) shifts down by b units
So, f(x)→f(x)-b
So, Shift the given function down by 6 units.
So, f(x)→f(x)-6
f(x)=x
So, x→x-6
So, the new function is f(x)=x-6
<h3>Answer:</h3>
It depends:
- 4 if she starts at 4
- 5 if she starts at 0
<h3>Explanation:</h3>
Louise needs to end up a total of 5 times 4 away from zero.
If she starts at 4, which is 1 times 4, then she needs to jump 4 more times, to 2, 3, 4, 5 times 4.
If she starts at 0, then she needs to jump 5 times to 1, 2, 3, 4, 5 times 4. (The values at the end of each jump will be {4, 8, 12, 16, 20}.)
Step-by-step explanation:
csc x / (cot x + tan x)
Write in terms of sine and cosine.
(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]
Multiply top and bottom by sin x.
1 / [cos x + (sin²x / cos x)]
Multiply top and bottom by cos x.
cos x / (cos²x + sin²x)
Use Pythagorean identity.
cos x / 1
cos x
Answer:
<u><em>They each had </em></u><u><em>1/20 of the original meal</em></u>
Step-by-step explanation:
<u><em>To begin, </em></u><u><em>there are 4 people</em></u><u><em>. Her siblings, and herself. She is </em></u><u><em>splitting the 1/5 leftover</em></u><u><em> to feed them. To do this, we simply </em></u><u><em>take 1/5 and put it into a fraction to get 0.2</em></u><u><em>. Next, we can </em></u><u><em>put 0.2 / 4 into a calculator</em></u><u><em> to get how much each person can get.</em></u>
<u><em>0.2 / 4 = 0.05.</em></u>
<u><em>Now, we need to </em></u><u><em>turn it into a fraction</em></u><u><em> to find out how much they had in fraction form of the original.</em></u>
<u><em>0.05 = 1/20</em></u>
<u><em>They each had </em></u><u><em>1/20 of the original meal</em></u>
