Answer:
y = - 
x + 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = 
x + 
← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - , thus
y = - x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - 
+ c ⇒ c = - 2 + =
y = - x + ← equation of perpendicular line
Answer:
1. 
2. 
Step-by-step explanation:
1. Solution for 1st part.
Given:
Ben shared his post with 2 friends
Each of those friends shares with 3 more every day.
the number of shares triples every day.
From the data given above, we can make the following:
An exponential function is represented by:
where a is the initial value and b is the growth rate.
The exponential function for this case would be:
2. Solution for part 2.
Given:
Carter shared his post with 10 friends.
each share with only 2 people each day.
From the data given above, we can make the following:
An exponential function is represented by:
where a is the initial value and b is the growth rate.
The exponential function for this case would be:
<h2>
Answer: 6 gallons </h2>
First we are told that we initially had 1/3 of the tank and when 10 gallons were added we had 3/4 of the tank:
(1)
(2)
(3)
This means 1 gallon is equivalent to 1/24 tank.
On the other hand if we have 3/4 of a tank and need to reach 1 tank we have to add another fraction of the tank:
(4)
(5)>>>>This is the fraction needed to complete 1 tank
Now we need to know <u>how much that 1/4 tank is equivalent in gallons</u>.
From (3) we know . So, we can write the following relation to transform from fractions of a tank to gallons:
Therefore:
<h2>
6 more gallons are needed to fill the tank</h2>
No Caseys answer is not reasonable because the chart says, 6 baseball, 8 football, 6 basketball and 5 soccer. Adding to a total amount of 25 people not 40.
