F(x)=3x²+2 . The intersection of this parabola with y-axis is 2 [f(0)=2]
If you want to stretch it vertically by a factor of 4. that means instead of 2 previously calculated the total stretch should be 2.4 =8 [f(0)=8]
The stretched equation becomes(x) = 3x² + 8
Answer:
x = 15
Step-by-step explanation:
Since it a right triangle we can use the Pythagorean theorem
c² = a² + b²
c = hypotenuse
a, b = legs
plug in the values
x² = 9² + 12²
solve
x² = 81 + 144
x² = 225
x = 15
Answer: 25 tickets must be purchased in order for the total cost of carnival M and carnival p are the same.
Step-by-step explanation:
Let x represent the number of tickets that must be purchased in order for the total cost of carnival M and carnival p are the same.
Carnival m charges an entrance fee of 5.00 and .65 per ticket for the rides. It means that the total cost of x tickets at carnival M is
0.65x + 5
Carnival P charges an entrance fee of 10.00 and .45 per ticket for the rides. It means that the total cost of x tickets at carnival M is
0.45x + 10
For the total cost to be the same, the number of tickets would be
0.65x + 5 = 0.45x + 10
0.65x - 0.45x = 10 - 5
0.2x = 5
x = 5/0.2
x = 25
Answer:
233 in^3
Step-by-step explanation:
First we will find the volume of the square at the bottom
V = s^3 where s is the side length
V = 5^3
V = 125 in^3
Then we will find the volume of the rectangular prism at the top
V = l*w*h
V = 12*3*3
V =108 in^3
The total volume is the sum of the two volumes
V = 125+108
= 233 in^3
Answer:
yes
Step-by-step explanation:
2,4,6,8,10,12 so on