Answer:
Step-by-step explanation:
Given
Solving (a): Write as inverse function
Represent a(d) as y
Swap positions of d and y
Make y the subject
Replace y with a'(d)
Prove that a(d) and a'(d) are inverse functions
and
To do this, we prove that:
Solving for
Substitute for d in
Solving for:
Substitute 5d - 3 for d in
Add fractions
Hence:
Here are the answers to problem 1..
a) 11
b) 5/36
c) 25 Times because 7 has a probability of 16.667%
d) 25 Times because 10, 11, and 12 have a probability sum of 16.667% ironically...
Hope this helps. :)
Answer:
2x - 10 = 44 + 8x
7x - 4 = 20 =3x
2(x-3) = -20
15 - 4x + 5 = 32
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x-10-(44+8*x)=0
Pull out like factors :
-6x - 54 = -6 • (x + 9)
-6 = 0
Solve : x+9 = 0
Subtract 9 from both sides of the equation :
x = -9
x = -9
Move all terms containing
x
to the left side of the equation.
4
x
−
4
=
20
Move all terms not containing
x
to the right side of the equation.
4
x
=
24
divide each term by 4
x = 6
2(x−3)=−20
Step 1: Simplify both sides of the equation.
2(x−3)=−20
2x−6=−20
Step 2: Add 6 to both sides.
2x−6+6=−20+6
2x=−14
Step 3: Divide both sides by 2.
2x
2
=
−14
2
x=−7
−4x+20=32
Step 2: Subtract 20 from both sides.
−4x+20−20=32−20
−4x=12
Step 3: Divide both sides by -4.
−4x
−4
=
12
−4
x=−3
Answer is A
if x+y=5
y= -x+5
2x + (-x+5) =-2
2x -x +5 = -2
x+5 = -2
x=-7