Step-by-step explanation: Let
Let
y
be the total fee, and
x
the number of months.
Equation 1:
y
=
50
+
55
x
Equation 2:
y
=
200
+
45
x
Solve the system for
x
and
y
:
50
+
55
x
=
200
+
45
x
10
x
=
150
x
=
15
y
=
200
+
45
(
15
)
y
=
875
∴
The total amount paid to both gyms is equal after
15
months and will be
$
875
.
Hopefully this helps!
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:
5x
Step-by-step explanation:
4x+1=5x
The answer is <span>D. ax4y6
proof
the binome of newton is S a x^k y^n-k = (x+y)^n, for k=0...n
for n=10, it is </span>a y^10+...+ <span>a x4 y^10-4 +...+ax^10</span>
<span>
</span>
Alright, from the graph, we know that Hannah's distance between hour 2 and hour 4 isn't uniform, so what we need to do is break the graph down a little.
When we break it down, we learn that Hannah's distance between hour 2 and hour 3 is decreasing because the y value decreases, and that Hannah's distance between hour 3 and hour 4 is increasing, because the y value starts increasing again.
Once we know that, all that's left is to match it up with the choices given. We can eliminate choices A and D because Hannah's distance between hour 2 and hour 4 isn't uniform, leaving us with B and C.
Between hours 2 and 3, we know that Hannah's distance is decreasing because the y value decreases, giving you your answer, which is C!
