Answer:
• Shift 5 units to the left >>> f(x) = |x+5|
• Shift 4 units down >>> f(x) = |x| - 4
Step-by-step explanation:
If we have the parent function:
f(x) = |x|
<u>For horizontal translations:</u>
- |x-a| means horizontally translated a units right
- |x+a| means horizontally translated a units left
<u>For Vertical translation:</u>
- |x| + b means vertically translated b units up
- |x| - b means vertically translated b units down
From the translation rules, we can say:
Shift 5 units left would be:
|x+5|
and
Shift 4 units down would be:
|x| - 4
Answer:
<u><em>The value of x is 2.6</em></u>
Step-by-step explanation:
<em>Use pythagorean theorem</em>
a^2+b^2=c^2
<em>Then substitute</em>
1^2+2.4^2=c^2
<em>Then evaluate</em>
1+5.76=c^2
<em>Add</em>
c^2=6.76
<em>Isolate c by finding the sqrt of 6.76</em>
c=2.6
<u>ANSWER:</u>
<span>The initial value of the truck is $22,200
</span>
<u>EXPLANATION:</u>
For the given function
<span>
f(t) = 22,200(0.92)^t
We know that at t = 0, we have
</span> f(0) = 22,200(0.92)^0 = 22,200
<span>
which is the value of the truck initially. So, the correct answer is
</span>The initial value of the truck is $22,200
Answer:
Penelope can read 6 pages in 5 minutes.
Step-by-step explanation:
You would use the equation 1.2x = P
P=how many pages x=how many minutes
1.2(5) = 6
She can read 6 pages in 5 minutes
Answer:
-50
Step-by-step explanation:
If the drink is descending by 50 feet, hypothetically I would say that the drinks at 0 ft. so it would be -50
