The answer is D. you can choose your words carefully
Answer:
200 adults
Step-by-step explanation:
We can set-up a system of equations to find the number of adults. We know children and adults attended. We will let c be the number of children and a be the number of adults. Since 200 people attended, then c+a=200.
We also know they made $800 and adult tickets cost $4 and child tickets cost $2. We can write 2c+4a=800.
We will solve by substituting one equation into the other. We start by solving the first equation for c. c+a=200 becomes c=200-a.
Now we substitute c=200-a into 2c+4a=800. Simplify and isolate the variable a.
- 2(200-a)+4a=800
- 400-2a+4a=800
- 400+2a=800
- 400-400+2a=800-400
- 2a=400
- a=200
This means that 200 adults attended and 0 children attended.
Let the numbers are a and b; a - 5 = 2b, and -------------- (1)a2 + b2 = 250 ----------------(2) rewriting and squaring of (1) is given as; a2 = 4b2 + 20b + 25 -------- (3) substituting (3) into (2) (4b2 + 20b + 25) + b2 = 250, thus 5b2 + 20b - 225 = 0 by dividing both sides by 5 b2 + 4b - 45 = 0 solving the quadratic for b, we will get b = -9 or 5, substituting these for b in (1), we will get a asa = -13 or 15 However, if a and b must be positive integer, then a = 15 and b = 5 is the answer
Answer:
f(- 2) = - 44
Step-by-step explanation:
Substitute x = - 2 into f(x) and evaluate, that is
f(- 2) = 2(- 2)³ - 4(- 2)² + 2(- 2) - 8
= 2(- 8) - 4(4) - 4 - 8
= - 16 - 16 - 4 - 8
= - 44
