Answer:
1/2 seconds
Step-by-step explanation:
h(t) = 65 + 10t - 5t^2
h(t) = -5t^2 + 10t + 65
the max height is reached at the vertex.
the value of t at the vertex is:
t = -b/(2a)
t = -10/(2(-10))
t = -10/(-20)
t = 10/(20)
t = 1/2 seconds
Answer: 2/8.
Step-by-step explanation:
When we have this type of problem, the usual way to solve them is trying with known types of sequences.
I will start with the arithmetic sequence, where the difference between any two consecutive terms is a constant. And if we call this difference as D, we will have the recursive relation:
Aₙ = Aₙ₋₁ + D
To check if this sequence is an arithmetic sequence, we can take the first two terms and see the difference:
(5/8 - 3/4) = (5/8 - 6/8) = -1/8.
Now let's do the same, but with the second and third terms:
(1/2 - 5/8) = (4/8 - 5/8) = -1/8
The difference is the same, -1/8.
Now we can use the recursive relationship above and the last given term of the sequence to find the next one:
A₅ = A₄ + (-1/8)
A₅ = 3/8 - 1/8 = 2/8
Then the next fraction in the sequence was 2/8.
No lolololololololoolollolo
2x + 3y = 1470
3y = -2x + 1470
y = -2/3x + 490 <== slope intercept form
=================
y = -2/3x + 490
slope = -2/3
y int = (0,490)
=================
description of graphing : Plot ur point at (0,490). Since the slope is -2/3, starting at (0,490)...go down 2 and to the right 3,then down 2 and to the right 3 and you will eventually cross the x axis at the x intercept.
The x intercept can be found by subbing in 0 for y and solving for x
y = -2/3x + 490
0 = -2/3x + 490
2/3x = 490
x = 490 * 3/2
x = 1470/2 = 735...so ur x intercept is (735,0)
therefore, your line will cross the x axis at (735,0)
========================
function notation is : f(x) = -2/3x + 490
========================
suppose his profit is 1593....
2x + 3y = 1593
3y = -2x + 1593
y = -2/3x + 531
the graphs for the two months :
similarities : they both have the same slope of -2/3
differences : they have different x and y intercepts
By the way, these are parallel lines
===================
sorry about the last one....can't see the 3rd month graph
Hi,
She lacks 240-42 = 198
She earns 12 usd per hours so : 198 /12 = 16.5
