(1,-3) and(-1,5)
slope = (5 + 3)/(-1 - 1) = 8/-2 = -4
b = 1
equation
y = -4x +1
answer
<span>C.y=-4x+1</span>
Answer:
D. 3x - 3
Step-by-step explanation:
To find (f-g)(x) you have to subtract each fuction
(f-g)(x) = f(x) - g(x)
(f-g)(x) = 5x -2 - (2x+1)
(f-g)(x) = 5x -2 -2x -1
(f-g)(x) = 3x -3
Answer:
Option 3
The rate of change is -5%
Step-by-step explanation:
Given : An exponential function for compounding interest, 
To find : What is the rate of change?
Solution :
The general form of an exponential function is:

Where, a is the initial amount,
(1+r) is the rate of change,
r is the growth or decay factor
We have given, 
Rate of change is



Convert to percent,

Therefore, Option 3 is correct.
<span>Total mass contains 320g copper. How many parts of 16g copper are there of the total mass of 320g copper? 320/16 = 20. There are 20 portions of 16g copper.
(320/16) * 3 = 60g
There are 60g of zinc in the compound.</span>
Answer:
π/8 radians
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION
In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?
SOLUTION
✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.
Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)
Within the 1hour minutes, the hand can move with complete cycle of 2π radians
Then At time t= 45minutes
Angle through the circle at 45 minutes= 45/60 ×2π radians
= 3π/2 radians
And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians
For t=45 minutes
Then 1/12 × 2π ×45/60
= π/8 radians
Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.