Hi! Could someone check this questions for me and if I have anything wrong tell what I have wrong please? That would be highly a
ppreciated!!
2 answers:
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<h3>Answer: (-infinity, 7]</h3>
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Explanation:
The first interval (-infinity, 3) describes any number less than 3, so we can write x < 3 in short hand (where x is the unknown number).
The second interval (-1, 7] means we start at -1 and stop at 7. We do not include -1 but include 7. So we say that (ie x is between -1 and 7; exclude -1, include 7)
If you were to graph each ona number line, you would see that the too intervals have overlapping parts. The right most edge extends out as far as x = 7. There is no left most edge as it goes onforever that direction.
Therefore, the to intervals combine to get which turns into the interval notation answer of (-infinity, 7]
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It might help to think of it like this: x < 3 and say "x is some number that is less than 3, or it is between -1 and 7". So x could be anything less than 7, including 7 itself.
Answer:
0.4 ft
Step-by-step explanation:
It can be convenient to let a spreadsheet compute the values for you. Here, we have written an explicit formula for the height of the n-th bounce:
h = 5.5×0.64^(n-1)
We have written the formula this way because we are given the height of the first bounce, not the starting height. Each bounce multiplies the height by a factor of 0.64. Then the 7th bounce will have a height of ...
h = 5.5×0.64^6 ≈ 0.378 ≈ 0.4 . . . . feet
Answer:
3, -8
(x is equal to 3 and y is equal to -8)
Step-by-step explanation:
<u>The system:</u>
{ 7x=-67-11y
{ 5x=-73-11y
<u>Finding a value for x:</u>
7x=-67-11y -> x = -
<u>Solving for y by plugging in our x:</u>
[Equation] 5x = -73 -11y
[Plug-in] 5( -
) = -73 -11y
[Distribute the 5] -
= -73 -11y
[Multiply by 7] 7 ( -
) = (-73 -11y) 7
[Simplify] -335 - 55y = -511 - 77y
[Add 335 and 77y to both sides] 22y = -176
[Divide by 22] y = -8
<u>Plug in our y to solve for x:</u>
5x = -73 -11y
5x = -73 -11(-8)
5x = -73 + 88
5x = 15
x = 3
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather