Answer:
6) y = x^(5/3)
7) B
8) C
10) A
Step-by-step explanation:
6) The fifth root is the same as raising to the 1/5 power, so we can write this in exponent form as:
f(x) = (x^(1/5))³
f(x) = x^(3/5)
To find the inverse, switch x and y and solve for y.
x = y^(3/5)
y = x^(5/3)
7) f(x) = 2√(x − 4) + 8
Switch the x and y and solve for y:
x = 2√(y − 4) + 8
x − 8 = 2√(y − 4)
(x − 8) / 2 = √(y − 4)
(x − 8)² / 4 = y − 4
(x² − 16x + 64) / 4 = y − 4
¼x² − 4x + 16 = y − 4
y = ¼x² − 4x + 20
8) Find the inverse:
x = 5√(y + 3) − 2
x + 2 = 5√(y + 3)
(x + 2) / 5 = √(y + 3)
(x + 2)² / 25 = y + 3
y = -3 + (x + 2)² / 25
The inverse function is an upwards parabola with a vertex at (-2, -3). The best fit is C.
desmos.com/calculator/fbabg5wc8b
10) √(4x − 31) = x − 7
Square both sides:
4x − 31 = (x − 7)²
4x − 31 = x² − 14x + 49
Combine like terms:
0 = x² − 18x + 80
Factor:
0 = (x − 8) (x − 10)
x = 8 or 10
Check for extraneous solutions.
√(4×8 − 31) = 8 − 7
1 = 1
√(4×10 − 31) = 10 − 7
3 = 3
x = 8 and x = 10 are both solutions.
Answer:
s = 11
Step-by-step explanation:
Given
= 22 ← substitute r = 242
= 22 ( multiply both sides by s )
242 = 22s ( divide both sides by 22 )
11 = s
1200 × 9.95 = 11.940 × 26 =310,440 ÷ 100 = 3,104.40 her commission is $ 3,104.40
Answer:
The correct answer is B) - 1/6
Step-by-step explanation:
To find the answer, simply subtract two consecutive values of f(x). Any 2 will give you the same answer.
49/6 - 25/3
49/6 - 50/6
-1/6
Answer:
$132,000 X .0085 = $1,122 / 360 = $3.1166 X 164 = $511.13
One mill is one dollar per $1,000 dollars of assessed value.
In our case 8.5 mills equivalent to 0.0085.
So to get the assessed value for one day
we will get
$132,000 X .0085 = $1,122 / 360 = $3.1166
Now we have the value for one day,
For June 14, we will calculate the days from January 1st to date
total days are 164. i.e. 5*30+14 = 164
Finally, the seller owes
$3.1166 * 164 = 511.13
