Answer:
The ball will take 4.05 seconds to hit the ground.
Step-by-step explanation:
we have
This is a quadratic equation (vertical parabola) open down
The vertex is a maximum
we know that
The ball hit the ground when h=0
Solve the quadratic equation
For h=0
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
---> the time cannot be a negative number
therefore
The ball will take 4.05 seconds to hit the ground.
The expression 5x+3 would be three more than five times a number! More than in this case would be addition - so if you get the same problem with subtraction you just change more to less!
Basically what it's tell you is that if x stood for 2 in this case 5*2 = 10 since it's 3 MORE than 5 times a number (x is in place of a number), you're adding 3 to 10 and that gives you 13!
I hope I simplified it a little more and you understand!
Good luck, rockstar! c: I hope this helped!
Answer:
Step-by-step explanation:
Use <em>FOIL</em> method.
Remark
This is an arithmetic progression. You have the first and last terms and the difference.
Givens
a = - 18
L = 60
d = 4.5
Equation
L = a + (n - 1)d
Solve
60 = -18 + (n - 1) * 4.5 Add 18 to both side
60 + 18 = (n - 1) * 4.5
78 = (n - 1) * 4.5 Divide both sides by 4.5
78/4.5 = n - 1
17.3333 = n - 1 Add 1 to both sides.
18.3333 = n
Conclusion
It will that 18 1/3 or 18.33333 minutes to get the from -18 to 60 degrees.
For this case, the first thing we must do is define variables.
m: number of times you cut the grass
d: amount of dollars you earn.
We now write the linear equation that models the problem:
d = 12m
The slope of the line is 12, which means that each time you cut the grass, you earn 12 dollars.
Answer:
an equation for the number of dollars, d, you earn when you mow the lawn m times is:
d = 12m
