Answer:
5 seconds
Step-by-step explanation:
When the rocket is on the ground, then h = 0 , that is
- 6t² + 30t = 0 ← factor out - 6t from each term
- 6t(t - 5) = 0
Equate each factor to zero and solve for t
- 6t = 0 ⇒ t = 0 ← when rocket is launched
t - 5 = 0 ⇒ t = 5 ← time when rocket returns to ground
Answer:
x= 0
y= -3
Step-by-step explanation:
6x-5y=15
substitution...
6(y+3)-5y=15
6y+18-5y=15
y+18=15
-18 -18
y= -3
substitution again...
6x-5(-3)=15
6x+15=15
-15 -15
6x=0
/6 /6
x= 0
Answer:
Slope = 2, Y-intercept = (0, 5)
Step-by-step explanation:
First, isolate y by moving all other terms to the other side of the equation.
2y - 4x - 10 = 0 ⇒ 2y = 4x + 10 ⇒ y = 2x + 5
The coefficient next to the x tells you the slope and the constant on the end tells you the y-intercept.
Therefore, the slope is 2 and the y-intercept is (0, 5).
Which stem-and-leaf plot represents the data 10, 70, 37, 65, 88, 86, 70, 10, 15, 15, 15?
GarryVolchara [31]
The first one and the third one are correct
Answer: Company B charges $(15.5+0.12x) more for x miles than company A.
Step-by-step explanation:
Let x = Number of miles.
Total charge = Flat charge + (charge per mile) x (Number of miles)
Given:
For Company A ,
Flat charge= $45
Charge per mile = 11 cents = 0.11 [ 1 dollar = 100 cents i.e. 1 cent = 0.01 dollar]
Total charge = 45+0.01x
For Company B,
Flat charge= $60.50
Charge per mile = 13 cents = 0.13
Total charge = 60.50+0.13x
Difference in charge = Charge for company B - Charge for company A
= 60.50+0.13x-(45+0.01x)
= 15.5+0.12x
Hence, Company B charges $(15.5+0.12x) more for x miles than company A.
