Good morning! So, what this question wants us to do is find each y value given its x value. Without the function it gives us already, this would be pretty difficult.
It gives us a function rule of y=2x+3. This means that we need to plug in each x value into the equation and solve for y. Let’s work on these first three.
y=2x+3} x=-4
y=2(-4)+3
y=-8+3
y=-5
So, if x=-4, then y=-5.
y=2x+3} x=-2
y=2(-2)+3
y=-4+3
y=-1
So, if x=-4, then y=-1.
y=2x+3} x=0
y=2(0)+3
y=0+3
y=3
So, if x=0, then y=3.
Try out the last one, and if you have any questions, comment below! Here are some extra x values if you need more practice.
Using the same function rule, y=2x+3, try to find the y value if x=-6, x=-3, x=5, or x=6.
Answer:
The percent increase per year is 4%
Step-by-step explanation:
we have

This is a exponential function of the form

where
y represent the monthly rent at Lake View Apartments
x represent the number of years
a is the initial value (y-intercept)
b is the base
r is the rate or percent increase

The percent increase per year is the base of the exponential function decreased by 1.
so

In this problem we have
---> initial value

Therefore
The percent increase per year is 4%
Answer:
The fraction of the tank is filled with gasoline is
.
Step-by-step explanation:
Consider the provided information.
Jamal filled his gas tank and then use 7/16 of the tank for traveling to visit his grandfather.
After his first traveling the amount of gas left can be calculated as:



He then used 1/3 of the remaining gas in the tank to run around town.
That means he left with 2/3 of gas.


Hence, the fraction of the tank is filled with gasoline is
.
<h3>
Answer:</h3>
By <em>100 times</em>.
Step-by-step explanation:
Each time something is in Scientific Notation, to every power of 10 something is multiplied by, it grows by 10 times.
By knowing that, if both equations use the same starting number, you can minus the notation section from the larger value, to find the answer.
10^6 - 10^4 = 10^2 ---> 100 times.
Hope that helps, :)
Answer:
<h2><em>
0.375 pounds </em></h2>
Step-by-step explanation:
Let the amount of trail mix in each bag be x pounds. If Mario has
pounds of trail mix and puts equal amounts of the trail mix into 6 bags for a hike with his friends, the amount of trail mix in each bag can be derives using the expression;

solving for x

<em>Hence 0.375 pounds of trail mix will be in each bag</em>
<em></em>