Answer:
You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.
The gas cost will be $19.53 for this trip.
Step-by-step explanation:
Given,
Distance covered by car per gallon = 32 miles
Cost of one gallon = $1.99
Unit rate in terms of miles;
32 miles = $1.99
1 mile = 
Therefore,
314 miles = Unit rate of mile * 314 miles
314 miles = 

Rounding off to nearest hundredth;
314 miles = $19.53
The gas cost will be $19.53 for this trip.
Keywords: unit rate, multiplication
Learn more about unit rate at:
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Answer:
95 degrees
Step-by-step explanation:
since angles 1 and 4 are vertical angles, they are congruent
3x+10=4x-15
3x-4x=-15-10
-x=-25
x=25
x=25 degrees
angles 4 and 7 are supplementary due to them being alternate exterior angles
lets find the measure of angle 4:
4x-15
4*25-15
100-15
85 degrees
Now, lets find the angle measure of angle 7:
85+x=180
x=180-85
x=95
So, the angle measure of angle 7 is 95 degrees
Answer:
The patient would receive 1.05mg of the drug weekly.
Step-by-step explanation:
First step: How many mcg of the drug would the patient receive daily?
The problem states that he takes three doses of 50-mcg a day. So
1 dose - 50mcg
3 doses - x mcg
x = 50*3
x = 150 mcg.
He takes 150mcg of the drug a day.
Second step: How many mcg of the drug would the patient receive weekly?
A week has 7 days. He takes 150mcg of the drug a day. So:
1 day - 150mcg
7 days - x mcg
x = 150*7
x = 1050mcg
He takes 1050mcg of the drug a week.
Final step: Conversion of 1050 mcg to mg
Each mg has 1000 mcg. How many mg are there in 1050 mcg? So
1mg - 1000 mcg
xmg - 1050mcg
1000x = 1050

x = 1.05mg
The patient would receive 1.05mg of the drug weekly.
I’m pretty sure the answer is C. I’m not entirely sure.