Answer:
Part 1) Slope-intercept form
Part 2) The slope of 2.20 tells me the rate per mile and the y-intercept of 2.50 tells me the flat fee
Step-by-step explanation:
Part 1) we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have

This is a linear equation in slope intercept form
where


Part 2) we have that
x -----> represent the number of miles
y ----> represent the total charge in dollars
The slope is
---> unit rate
The y-intercept is
----> initial value or flat fee
therefore
The slope of 2.20 tells me the rate per mile and the y-intercept of 2.50 tells me the flat fee
So the original area is 300*150 (or 45000 ft^2), but now the new area is (300+3y)(150+3y).
The polynomial in standard form would be 45000+900y+450y+9y^2=45000+1350y+9y^2
But the proper way to write it is 9y^2+1350y+45000
When y=4, we get 9(4^2)+1350(4)+45000=9(16)+54000+45000=144+99000=99144
So the new area would be 99144 ft^2
Hope this helped!
That would be (171 + x) / 2....what u do to find the average is add up all the numbers, then divide by how many numbers there are.
Answer:
58 ft
Step-by-step explanation:
So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as:
. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.

Multiply both sides by 80

Calculate sin(46) using a calculator (make sure it's in degree mode)

Simplify

Round this to the nearest foot

Answer:
The answer to your question is car 1 = 30 gal and car 1 = 20 gal
Step-by-step explanation:
car 1 = a
car 2 = b
Efficiency of car 1 = 35 mi/gal
Efficiency for car 2 = 20 mi/gal
Total distance = 1450
Total gas consumption = 50 gal
Equations
35a + 20b = 1450 ------- (I)
a + b = 50 ------- (II)
Solve by elimination
Multiply equation II by -35
35a + 20b = 1450
-35a - 35b = -1750
Simplify
0 - 15b = -300
Solve for b
b = -300/-15
Result
b = 20
Substitute b in equation II to find a
a + 20 = 50
Solve for a
a = 50 -20
Result
a = 30