9514 1404 393
Answer:
- time, volume
- depth, temperature
- time, plant height
Step-by-step explanation:
The axis labels answer this question. The horizontal axis is the independent variable; the vertical axis is the dependent variable.
1. Variables are time and volume.
2. Variables are depth and temperature.
3. Variables are time and plant height.
Answer: $1387800
Step-by-step explanation:
This is an sum of Arithmetic Progression with the formula
Sum of nth term
Sn = n/2( a + l ) --------------- 1
where l = a + ( n - 1 )d -------2
Now put (2) in 1
Sn = n/2{( a + a + (n - 1)d}
= n/2{( 2a + ( n -1 )d}
From the question
a = $5,4000 ( firs term )
d = 3% of $5,4000 ( common difference ), n = 20 years. Solution to question one therefore is.
First find 3% of $54000 = $1620, so the geometric series is
Sn = n/2{(2a + ( n - 1 )d
Second solution is substitution,
Sn. = 20/2 {(2 x 54000 + (20 -1)1620)}
= 10{ 108000 + 19 x 1620}
= 10{ 108000 + 30780 }
= 10{ 138780 }
= 1387800
Therefore, the total emoluments of Rylee for the past 20 years
= $1387800
2.
h(x) = 1/(x - 1)
<em><u>Replace h(x) with y.</u></em>
y = 1/(x - 1)
<u><em>Swap x and y.</em></u>
x = 1/(y - 1)
<em><u>Solve for y.</u></em>
<em><u>Multiply both sides by (y - 1)</u></em>
x(y - 1) = 1
<em><u>Distributive property.</u></em>
xy - x = 1
<em><u>Add x to both sides.</u></em>
xy = 1 + x
<em><u>Divide both sides by x.</u></em>
y = 1/x + 1
<em><u>Replace y with h^-1(x)</u></em>
H^-1(x) = 1/x + 1 is the inverse function for question 2.
4.
h(x) = 4/(x + 2)
<em><u>Replace h(x) with y.</u></em>
y = 4/(x + 2)
<em><u>Swap y and x.</u></em>
x = 4/(y + 2)
<em><u>Solve for y.</u></em>
<em><u>Multiply both sides by y + 2.</u></em>
x(y + 2) = 4
<em><u>Distributive property.</u></em>
xy + 2x = 4
<em><u>Subtract both sides by 2x.</u></em>
xy = 4 - 2x
<em><u>Divide both sides by x.</u></em>
y = 4/x - 2
<em><u>Replace y with h^-1(x)</u></em>
H^-1(x) = 4/x - 2 is the inverse function for question 4.
Answer:
x = 2
Step-by-step explanation:
-7x - 5x + 8 = -16
(-7x -5x) = -16 -8
-12x = -24
x = -24/12
x = 2
if (-) is divided (-) then the result is (+)
hope helping you ^^
