Answer:
84
Step-by-step explanation:
Answer:
f(x+2)=3x+10
Explanation:
f(x+2) means replace all the xs with (x+2)
f(x)=3x+4
f(x+2)=3(x+2)+4
Now simplify
f(x+2)=3x+6+4
f(x+2)=3x+10
Answer:
180 different four-course meals
Step-by-step explanation:
So you have one out of 3 salads, one out of 3 appetizers, one out of 4 entrees, and one out of 5 deserts. To find the number of meals that are possible, multiply 3 by 3 by 4 by 5
3 * 3 = 9
9 * 4 = 36
36 * 5 = 180
Answer:
y = -0.005x² + 50
Step-by-step explanation:
The diameter is 200 feet, so the parabola has roots at (-100, 0) and (100, 0). The maximum height is 50, so the vertex of the parabola is at (0, 50).
Using vertex form of a parabola:
y = a (x − h)² + k
y = a (x − 0)² + 50
y = ax² + 50
Plugging in either root:
0 = a (100)² + 50
a = -0.005
y = -0.005x² + 50
Answer: 120
Step-by-step explanation:
From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.
The number of different ways that the club members can structure the committee goes thus:
This can be solved by:
nCr = n! / r! (n - r)!
where n = 10
r = 3
= n! / r! (n - r)!
= 10! / 3! (10 - 3)!
= (10 × 9 × 8) / (3 × 2)
=120