Answer:
-8 < x < inf
[-8 , inf )
Step-by-step explanation:
set up a +/- |x + 8| = x + 8
the setup a number line and use test points
Nico because 1 cm equals 10 mm, so Jake’s thumb is only 5.5 cm.
Answer and Step-by-step explanation:
The answer is the last answer choice.
g(x) = ![-(x + 2)^2 + 1](https://tex.z-dn.net/?f=-%28x%20%2B%202%29%5E2%20%2B%201)
We don't even have to look at the numbers to tell that this is the correct answer. We look at what is being placed there.
The equation for a transformed function is:
f(x) = ![a(x-h)^2 + k](https://tex.z-dn.net/?f=a%28x-h%29%5E2%20%2B%20k)
a determines the scale of the graph and whether the graph opens up or down.
h determines whether the graph shifts left or right.
k determines whether the graph shifts up or down.
We see that there is a -1 for a, which means the graph will be facing downwards. We see a 2 for where h is, but it really is a -2, and when it becomes a positive after simplifying, the graph will shift to the left.
k is a positive 1, so the graph will be shifted up 1 unit.
<u>Thus, the answer is the last answer choice.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Find the common multiples:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48
Multiples of 9: 9, 18, 27, 36, 45
The common multiples are 18 and 36
The first person in line to get both free would be the 18th person and then the 36th person.
So she is correct that the 36th person would get both free, but they wouldn't be the first person to do it.
Answer:
Horizontal distance between lifeguard and the person is 22 feet.
Step-by-step explanation:
Given: A lifeguard sees a person in distress.The eye level of the lifeguard is 15 feet above the ground. Angle of depression is 34°.
To find: Horizontal distance between lifeguard and the person.
Solution : If we draw a triangle then tan∅ = ![\frac{height}{base}](https://tex.z-dn.net/?f=%5Cfrac%7Bheight%7D%7Bbase%7D)
Here base is the horizontal distance.
Now we put the values in the formula.
tan 34° = ![\frac{15}{base}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7Bbase%7D)
Or Base = ![\frac{15}{tan34}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7Btan34%7D)
= ![\frac{15}{0.675} = 22.22 feet](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B0.675%7D%20%3D%2022.22%20feet)
So the answer is 22 feet.