Answer:
First you need to find the slope of the line:
m=6-(-2) / (-1)-0 =-8
equation of line is:
y=mx+b
y=-8x+6
for absolute value function:
if x<0
y=-8x+6
if x>0
y=+8x-6
Step-by-step explanation:
The digit 7 is in the tens place so 74 will become either 70 or 80 after rounding off to the nearest ten. Draw a number line with 3 numbers on it: 70, 75 and 80. (Both possible rounded off numbers and the number in the middle.
Answer:
A 256/3
Step-by-step explanation:
1/3 * 4^4 =
1/3 * (4*4*4*4) =
1/3 * 256 = 256/3
Call T the price of the T-shirts and P de price of the jeans
Initially (without discount)
2T + P = 40
One month later (half prices)
2 (T/2) + 5(P/2) = 60
T +5P/2 = 60
To solve the system of equations multiply the second equation by 2 and substract it from the first equation
2 T + 5P = 120
- (2 T + P = 40 )
________________
4P = 80
P = 80/4
P = 20
From 2T + P = 40
T = (40 - P) / 2 = (40 -20) / 2 = 20/2 = 10.
The price of a T-shirt is $10 and the price of a pair of jeans is $20.
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:
