9514 1404 393
Answer:
a) k = 2/5
b) y = 2/5x
c) y = 2 3/5
Step-by-step explanation:
<h3>a)</h3>
The proportional relation is described by the equation ...
y = kx . . . . . . k is the constant of proportionality
The value of k can be found by dividing the equation by x:
y/x = k = (2 1/4)/(5 5/8) = (9/4)/(45/8) = 18/45
k = 2/5
__
<h3>b)</h3>
As above, the equation is ...
y = kx
y = 2/5x
__
<h3>c)</h3>
Using 6.5 for x, we have ...
y = (2/5)(6.5) = 2.6 = 2 3/5
The answer is 16.
First of all, you need to divide 4 by 1/4.
4/1 / 1/4 = 1.
15 - 1 + 2
Next, you go from left to right with addition and subtraction, so subtract 1 from 15 first.
15 - 1 = 14
14 + 2
Finally, add 14 and 2.
14 + 2 = 16.
Given:
The given equation is:

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.
To find:
The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.
Solution:
We have,

The height of the ball is at least 36 feet above the ground. It means
.



Splitting the middle term, we get



The critical points are:


These two points divide the number line in 3 intervals
.
Intervals Check point
Result
0
False
4
True
8
False
The inequality is true for (2,6) and the sign of inequality is
. So, the ball is above 36 feet between 2 to 6 seconds.

Therefore, the required inequality is
and the ball is 36 feet above for 4 seconds.
700 cal out of the 2000
2000*.35
What is percentage change?
By quantifying the difference between two numbers and expressing it as an increase or decrease, the Percentage Change Calculator (percent change calculator) may determine the percentage change.
The initial price
(100%) was decreased by 10%., then this reduced price is reduced more by 20% that becomes the final price
which is 72.
Calculate percentage change from
to
.
=





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