Answer:
C
Step-by-step explanation:
To evaluate f(g(7)), substitute x = 7 into g(x), then substitute the result into f(x)
g(7) = (2 × 7) - 5 = 14 - 5 = 9, then
f(9) = 3(9)² - 4 = 243 - 4 = 239 → C
<span>The geese are required to make a 5000 meter journey. For every 500 meters they travel forward they are blown back 50 meters. Therefore rather than traveling forward 500 meters, they travel forward only 450 meters. Presumably this happens during the whole course of each section of the flight, so when they travel fractions of the distance they are blown back in the same proportion. Since each 450 meter gain requires 3 minutes, and it will take 11.11111 450 meter sections of flight, it will take 33.333333 minutes. Since they leave at 11:30, they will arrive at 12:03 and roughly twenty seconds.</span>
Answer: Part A = (100% - 80%)P = 35, Part B = 140
<u>Step-by-step explanation:</u>
Percentage: Like + Don't like = 100%
80% + Don't like = 100%
<u> -80% </u> <u> -80% </u>
Don't like = 20%
People: 20% of Patrons = Don't Like
0.20 x Patrons = 35
<u>÷ 0.20 </u> <u> ÷ 0.20 </u>
Patrons = 175
<u>Now, let's write the equation we used to get that answer</u>:
Let P represent the total number of patrons, then the equation is:
(100% - 80%)P = 35
= (1.00 - 0.80)P = 35
= 0.20P = 35
= P = 175
<u>Part B: </u>
80% of Patrons = Like
0.80 x 175 = Like
140 = Like
40% are boys. divide 2 by 5 and then multiply by 100
