Answer:
Step-by-step explanation:
The initial height of a Japanese maple sapling is 14 inches.
The tree is expected to grow 2.5 inches each month. This increase in height is linear, thus it is in arithmetic progression.
The expression for arithmetic progression is
Tn = a + (n-1)d
Where a = the first term of the series
d = common difference
Tn is the nth term of the series
n = the number of terms.
From the information given
a = 14 inches because it is the initial height of the tree
d = 2.5 because it is the difference in height between 2 consecutive months
n = m( number of months)
Tn = f(m)
function models the relationship between the height of the tree f(m) and the number of m months of growth will be
f(m) = 14 + 2.5(m-1)
Answer:
7/30
Step-by-step explanation:
-3/9 * -56/80
-3/9= -1/3
-56/80 = -7/10
-1/3(-7/10)
1(7) / 3(10)
7/30 or 0.2333
Answer:
c. f(x) x+1/x-1
Step-by-step explanation:
To answer this question, we need to check each answer one by one until we find the right one.
y = (x+6)/(x-6)
switch x and y
x = (y+6)/(y-6)
solve for y
x(y-6) = y+6
xy - 6x = y+6
y(x-1) = 6x+6
y = (6x+6) /(x-1) = 6(x+1)/(x-1)
f^-1(x) = 6(x+1)/(x-1)
y = (x+2)/(x-2)
switch x and y
x = (y+2)/(y-2)
solve for y
x(y-2) = y+2
xy -2x = y+2
y(x-1) = 2x+2
y = (2x+2)/(x-1)
f^-1(x) = 2(x+1)/(x-1)
y = (x+1)/(x-1) ------ correct one
switch x and y
x = (y+1)/(y-1)
solve for y
x(y-1) = y+1
xy - x = y+1
y(x-1) = x+1
y = (x+1)/(x-1)
f^-1(x) = (x+1)/(x-1)
f(x) = f^-1(x)
Answer:
1 / 4 ( or ) 0.25
Step-by-step explanation:
Let the missing number be " x ".
12 . x = 3
x = 3 / 12
x = 1 / 4
( or )
x = 0.25
Answer:
$200
Step-by-step explanation:
To find Jeff's net worth, we will deduct all his debts (liabilities) from his assets (his properties).
ASSETS
Savings Account - $6000
Investments - $15000
Guitar - $1000
TOTAL - $22000
LIABILITIES
Student loans - $17000
Credit Card Debt - $1200
Outstanding car payment - $3600
TOTAL - $21800
NET WORTH = Assets - Liabilities
NW = $22000 - $21800
NW = $200
His net worth is $200.
