Answer:
A) rate of change would be dividing the number of songs wanted (150) by the number of weeks downloading (5)
150/5 = 30
since the total quantity wanted is becoming less every week the rate of change would be negative so it becomes -30
Initial value is 150, which is the total number of songs they want
B) rate of change would be dividing the number of songs wanted (150) by the number of weeks downloading (5)
150/5 = 30
since the total quantity wanted is becoming less every week the rate of change would be negative so it becomes -30
Initial value is 150, which is the total number of songs they want
Answer:
3
Step-by-step explanation:
y= mx +b
b the y-intercept and is 2 so is red or purple line
m is the slope = 1/2 so rise 1 and run 2 is the purple line
9514 1404 393
Answer:
- |w -30| > 1.6
- (-∞, 28.4) U (31.6, ∞)
Step-by-step explanation:
1. The snack bags will be rejected if their weight differs from 30 grams by more than 1.6 grams:
|w -30| > 1.6
__
2. This inequality resolves to two inequalities.
w -30 > 1.6
w > 31.6 . . . . . add 30
and
-(w -30) > 1.6
w -30 < -1.6 . . . multiply by -1
w < 28.4 . . . . . add 30
The solution in interval notation is the union of the two disjoint intervals:
(-∞, 28.4) U (31.6, ∞)
- Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept
So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.
Firstly, subtract 3x on both sides of the equation: 
Next, divide both sides by -4 and your slope-intercept form of the original equation is 
Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>
Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

<u>In short, your new equation is y = -4/3x - 10 1/3.</u>
In the standard form, the number 7 here should be an exponent not a sub text.
Answer: 5.13 x 10^(7).
Done!