Answer:
The slope of the line between these two points is 1.50.
Step-by-step explanation:
The general form of the regression line is:

Here,
<em>y</em> = dependent variable
<em>x</em> = independent variable
<em>m</em> = slope
<em>c</em> = intercept.
The formula to compute slope using two-point method is:

In this case the dependent variable is the cost per week to feed and independent variable is the weight of the hamster.
The two points are:
(<em>x</em>₁, <em>y</em>₁) = (3, 3.50)
(<em>x</em>₂, <em>y</em>₂) = (4.8, 6.20)
Compute the slope as follows:




Thus, the slope of the line between these two points is 1.50.
Answer:
a)
if 1 quarter = $ 0.25
1 dime = $ 0.10
1 penny = $ 0.01
so to make the total of $1.08 and its is also required to calculate the number of each coins present without being able to make change for a dollar
therefore we say;
1 Quarter + 8 dimes + 3 penny
: ( 1 × 0.25 ) + ( 8 × 0.10 ) + ( 3 × 0.01 )
: 0.25 + 0.80 + 0.03 = $ 1.08
b)
Now if you have a 4 Quarters, you have change for $1.
If you have 5 dimes, you have change for 2 Quarters.
If you have nickel; one of those can combine with 2 dimes to have a change for a Quarter.
If you have 5 pennies, you have enough change for 1 nickel
Therefore
(4-1)×0.25 + (5-1)×0.1 + (0×0.05) + (5-1)×0.01 = x
(3 × 0.25) + ( 4 × 0.1) + 0 + ( 4 × 0.01) = x
x = 0.75 + 0.4 + 0.04
x = $ 1.19
PROVED
Answer:
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Step-by-step explanation:
Remember that:
- Two lines are parallel if their slopes are equivalent.
- Two lines are perpendicular if their slopes are negative reciprocals of each other.
- And two lines are neither if neither of the two cases above apply.
So, let's find the slope of each equation.
The first basketball is modeled by:

We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:

And divide both sides by four:

So, the slope of the first basketball is -3/4.
The second basketball is modeled by:

Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:

And divide both sides by negative eight:

So, the slope of the second basketball is also -3/4.
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Answer:
ITS AN ASSESMENT THIS VIOLATES THE HONOR CODE
Step-by-step explanation:
Answer:Answer: D Step 3 ; f²k³
Explanation:
(k⁻¹)⁻³ = k³
Step-by-step explanation: