The answer is x^3 - x + (-3x + 1)/(x^2+6)
Answer:
The pounds of mulch the store sells are 108 and the pounds of gravel the store sells are 72.
Step-by-step explanation:
Let
x -----> pounds of mulch the store sells
y ----> pounds of gravel the store sells
we know that
-----> equation A
Remember that
so
-----> equation B
solve the system by substitution
substitute equation B in equation A
solve for y
Find the value of x
The solution is the ordered pair (108,72)
therefore
The pounds of mulch the store sells are 108 and the pounds of gravel the store sells are 72.
Answer:
125 cm
Step-by-step explanation:
all cube has the same length, width, height
5 * 5 * 5 = 125
Hope this helps
Answer:
y = 2x/5 - 6
Step-by-step explanation:
1) Rerrange and simplify eqation for simplicity
y = 5x/2 + 3
2) Perpindicular lines have inverse slopes (proof not shown so look it up if you require this)
m = 2/5
3) Construct base new equation
y = mx + d
4) Sub in in point and slope to solve for unknowns
-4 = (2/5)(5) + d
-4 = 2 + d
d = -6
5) Sub in known
y = 2x/5 - 6
Given:
The height of the swipe card in feet after t seconds is
To find:
The maximum height of the swipe card and the time at which it reaches this height.
Solution:
We have,
Here, leading coefficient is -3, which is negative. It means it is a downward parabola and the vertex of the downward parabola is the point of maximum.
If a quadratic function is , then the vertex is
In the given function, we get
Now,
Putting t=2.5 in the given function, we get
So, the vertex of the given parabola is at (2.5,36.75).
Therefore, the maximum height of the swipe card is 36.75 feet and it reaches this height after 2.5 seconds.