Answer:
The inverse is 5x+3
Step-by-step explanation:
y = (x-3) /5
Exchange x and y
x = (y-3)/5
Solve for y
Multiply each side by 5
5x =(y-3)/5 *5
5x = y-3
Add 3 to each side
5x+3 =y-3+3
5x+3 =y
The inverse is 5x+3
Answer:
Step-by-step explanation:
Yes.
Answer:
4^4
Step-by-step explanation:
Working from left to right
4^5 * 4^-7 ÷ 4^-2
We know that a^b * a^c = a^(b+c)
4^5 * 4^-7 = 4^(5-7) = 4^2
4^2 ÷ 4^-2
We know a^b / a^c = a^(b-c)
4^2 ÷ 4^-2 = 4^(2- -2) = 4^(2+2) = 4^4
Answer:
0.25
Step-by-step explanation:
Given that:
Number of options per question = 4
Number of correct answer per question = 1
Number of incorrect answers per question = 3
By random guess:
Probability of picking a correct answer :
Number of correct answers / number of options
= 1 / 4 = 0.25
Probability of picking an incorrect answer :
Number of incorrect answers / number of options
= 3/4
Hence,
X :______ 4 _____ - 1
P(X) : ___ 0.25 __ 0.75
Σ(X*P(x))
(4 * 0.25) + (-1 * 0.75)
1 + (-0.75)
1 - 0.75
= 0.25