the answer would be ...
f(x) = -5/2x + 4
We know this because the constant in this equation, 4, is the y-intercept!
This means that the number without the variable is <u>where the line intersects the y-axis. </u>
Additionally, the slope is called the "rise over run", but in this case it is negative. At the point, 4, on the y-axis,<u> we go down 5 units (the numerator of the slope) and to the right by 2 units (the denominator). </u>
We find ourselves at where the line intercepts the x-axis!
I hope my explanation isn't confusing and that it is helpful! If you have any questions or concerns, message me! :)
Answer:
a) 72.25sec
b) 6.25secs
c) after 10.5secs and 2 secs
Step-by-step explanation:
Given the height reached by the rocket expressed as;
s(t)= -4t^2 + 50t - 84
At maximum height, the velocity of the rocket is zero i.e ds/dt = 0
ds/dt = -8t + 50
0 = -8t + 50
8t = 50
t = 50/8
t = 6.25secs
Hence it will reach the maximum height after 6.25secs
To get the maximum height, you will substitute t - 6.25s into the given expression
s(t)= -4t^2 + 50t - 84
s(6.25) = -4(6.25)^2 + 50(6.25) - 84
s(6.25) = -156.25 + 312.5 - 84
s(6.25) = 72.25feet
Hence the maximum height reached by the rocket is 72.25feet
The rocket will reach the ground when s(t) = 0
Substitute into the expression
s(t)= -4t^2 + 50t - 84
0 = -4t^2 + 50t - 84
4t^2 - 50t + 84 = 0
2t^2 - 25t + 42 = 0
2t^2 - 4t - 21t + 42 = 0
2t(t-2)-21(t-2) = 0
(2t - 21) (t - 2) = 0
2t - 21 = 0 and t - 2 = 0
2t = 21 and t = 2
t = 10.5 and 2
Hence the time the rocket will reach the ground are after 10.5secs and 2 secs
Ok, first set this up as an equation with your given variables. You know that Sylvie bought 1 container of cream cheese, which is $2.95, and you know that Sylvie spent $7.50
<u>(my best assumption is this is the subtotal)</u><u /> on the cream cheese and 13 bagels. As an equation, it would come out as:

To start solving the algebraic equation, wou can subtract 2.95 on both sides, resulting as

Now, to get "b" by itself, you must divide
13 on both sides, resulting as

This will answer your question as the cost of 1 bagel would be
$0.35 per bagel.
Answer:

Step-by-step explanation:
