Answer:
the 2nd and 4th expressions are the appropriate ones.
Step-by-step explanation:
both result in '0' which means that kiana is on the ground floor of the building at the end.
Step-by-step explanation:
h = -490t² + 1470t
When h = 980:
980 = -490t² + 1470t
Simplifying:
0 = -490t² + 1470t - 980
0 = t² - 3t + 2
Factoring:
0 = (t - 1) (t - 2)
t = 1, 2
There are two solutions because the rocket first reaches the height of 980 cm as it's going up at 1 second, then it reaches that height again as it's coming down at 2 seconds.
Answer:
k = 5
Step-by-step explanation:

Now comparing left hand side & right hand side ,

Cancelling x^2 & 6 from both left hand side & right hand side ,
kx = 5x
=> k = 5
Answer:

Step-by-step explanation:
So we have the trinomial:

First, factor out a 2:

Now, factor within the parentheses.
To do so, we want to find two numbers. When multiplied, these two numbers must equal (a)(c) and when added, they must equal b
(a)(c) is 2(-5) or -10 and b is -3. So, we want two numbers that when multiplied together gives -10 and when added gives -3.
-5 and 2 works. Therefore:

Replace -3x with 2x and -5x:

Factor out a 2x for the first two terms. And factor out a negative 5 for the remaining two:

Grouping:

And we're done!
For this case we are going to assume that Nina wrote:
3/4 (1440) + 295.25 + (-33.50).
The expression is correct since we have:
ticket sales were three-fourths as much as yesterday. That means
3/4 (1440)
food sales were down by $ 33.50, that means:
295.25 + (-33.50)
Therefore, today's sales were:
3/4 (1440) + 295.25 + (-33.50).
answer
Nina's expression is correct