Answer:
f^(-1)(x) = -3x/(3x-3)
Step-by-step explanation:
1) replace f(x) by y
● y = 3x/(5x+3)
2) exchange x and y
● y = 3x/(5x+3)
● x = 3y / (3y +3)
3) solve for y
● x = 3y / (3y +3)
● x (3y +3) = 3y
● 3xy + 3x = 3y
● 3xy - 3y = -3x
● y (3x - 3) = -3x
● y = -3x /(3x-3)
4) replace y with f^(-1)(x)
● y = -3x/(3x-3)
● f^(-1)(x) = -3x/(3x-3)
Answer:
2/8, 3/12 and 4/16
Step-by-step explaination:
All these fractions are equivalent to 1/4 as the numerator is a multiple of 1, the denominator is a multiple of 4, and the numerators are all a quarter of their respective denominators.
Answer:
Step-by-step explanation:
x 12x - 6 3x + 3 6(2x - 1)
1 6 6 6
2 18 9 18
3 30 12 30
Hi there!
We know that the snail lives 1 x 1/2 feet in 3 x 3/4 hours. First you have to simplify or solve the expressions. 1 x 1/2 is equal to 1/2 and 3 x 3/4 is 9/4 or 2.25 in decimal form.
You need to divide 2.25 by 1/2 or 0.5 which is 4.5.
So the snail moves 4.5 or 9/2 feet per hour.
Hope this helps !
Answer:
A) A = 1; B = 0; C = 20
Step-by-step explanation:
The standard form for a quadratic is
Ax^2 +Bx +C=0
We are given
1/4x^2 + 5 = 0
Rewriting
1/4x^2 +0x+ 5 = 0
A = 1/4 B=0 C=5
We can multiply each side by 4
4(1/4x^2 +0x+ 5) = 0*4
x^2 +0x+ 20 = 0
A = 1 B=0 C=20
