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:
<h2>
</h2>
Solution,
Let the points be A and B
A(-4 , 1)------>( X1, y1)
B(2,4)---------->( x2, y2)
Now,
Gradient:
Hope this helps...
Good luck on your assignment...
Answer:
1/200
Step-by-step explanation:
the answer is that 0.005 is 1/200
Answer:
50-25 2/3 - 9 3/4 - 8 1/2 = 6 1/12
Step-by-step explanation:
To do this without a calculator you need to get common denominator
a good choice would be 12 for the common denominator
50 x 12 = 600
25 x 12 = 300
convert to 2/3 to x/12, multiply top and bottom by 4
2/3 x 4 = 8/12
add this to the 300 to get 308/12
same with the other terms
9 x 12 = 108
convert 3/4 to x/12, multiply top and bottom by 3
3/4 x 3 = 9/12
add this to the 108 to get 117/12
and do the same for the 8 1/2
8x 12 = 96
convert 1/2 to x/12, multiply top and bottom by 6
1/2 = 6/12, add this to the 96
do the subtraction and simplify
