Ok lets say
popcorn = x and
drinks = y
Jacob: 2x + 3y = 18.25
Zachary: 4x + 2y = 27.50
ok now you have to use these 2 equations to get the answer
4x + 2y = 27.50 ---> 2y = 27.50 - 4x ---> y = 13.75 - 2x
2x + 3y = 18.25
2x + 3(13.75-2x) = 18.25
2x + 41.25 - 6x = 18.25
-4x + 41.25 = 18.25
-4x = -23
x = 5.75 <u><em>One bag of popcorn is $5.75</em></u><em />
4x + 2y = 27.50
4(5.75) + 2y = 27.50
23 + 2y = 27.50
2y = 4.50
y = 2.25 <u><em>One drink is $2.25</em></u><em />
The equation of the line joining the points (4, 9) and (-1, 0) is y = 9/5 x + 9/5
<h3>How to find the equation of a line?</h3>
The formula for calculating the equation of a line is expressed as:
y = mx + b
m is the slope
b is the intercept
Determine the slope:
Slope = 0-9/-1-4
Slope = -9/-5
Slope = 9/5
Determine the y-intecept
0 = 9/5(-1) + b
b = 9/5
Hence the equation of the line is y = 9/5 x + 9/5
Learn more on equation of a line here: brainly.com/question/13763238
Answer:
<h2>The slope of the line tangent to the function at x = 1 is 2.01 ≅2.</h2>
Step-by-step explanation:
Using the formula of derivative, it can be easily shown that, 
where 
.
Here we need to show that as per the instructions in the given table.
Δy = f(x + Δx) - f(x) = f(1 + 0.01) - f(1) = 
.
In the above equation, we have put x = 1 because we need to find the slope of the line tangent at x = 1.
Hence, dividing Δy by Δx, we get, 
.
Let's examine this taking a smaller value.
If we take Δx = 0.001, then Δy = 
.
Thus, 
.
The more smaller value of Δx is taken, the slope of the tangent will be approach towards the value of 2.
May I get brainlist? Answer: x= 1/7
Answer:
Divide the price by the number of months to find the monthly rate.
$237.36 ÷ 24 = $9.89 per month
$184.50 ÷ 18 = $10.25 per month
<u>The two year club, Aqua Plus is cheaper</u>
Step-by-step explanation:
