Answer:

Step-by-step explanation:
In order to find the values of a piecewise function, we first have to determine which piece we are using.
For
, x=-3. This means that we need to use
as 

For
, x=2. This means that we need to use
as x is equal to 2.

Answer:
- 15+2n
- 6(x-3)
Step-by-step explanation:
- 8m+4n+7n-2n
- 8m+7n+4n-2n
- 15n+2n
- 3(2x-6)
- 3 multipied by 2x and 6= 6x-18
- The GCF(greatest common factor)is 6
- 6x divided by 6 is x and 18 divided by 6 is 3
so the GCF goes outside the parenthesis and the numbers you got after you divided goes inside. 6(x-3)
Hope this helps!
Answer:
2 quarts of orange juice
Step-by-step explanation:
If she made 1&1/2 gallons and, excluding orange juice, she used 2 pints (1quart) and 3 quarts that is 1 gallon (without orange juice) if we then subtract what we have from our total we are left with 1/2 gallon (aka: 2quarts) meaning we have a remaining 2 quarts of orange juice
<h3>
Answer: 19.1</h3>
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Work Shown:
tan(angle) = opposite/adjacent
tan(C) = AB/BC
tan(theta) = x/BC
tan(23) = (8.1)/BC
BC*tan(23) = 8.1
BC = (8.1)/tan(23)
BC = 19.0824041631723
BC = 19.1
In this case, rounding to 3 sig figs means we round to the nearest tenth.
Make sure your calculator is in degree mode.