Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (32, - 5)
m = 
= 
= -
Answer:
$60
Step-by-step explanation:
So from the question, we need to find the fixed amount for the tv's. So we have to make an equation, and don't forget to add the extended warranties:
11(x + 25) = 935
x will represent a tv, and the 25 is the extended warranty for a tv, since the questions states 11 tv's with warranties is 935, the equation will look like that. Now lets slove:
11(x + 25) = 935
multiply
11x + 275 = 935
subtract 275 from both sides
11x = 660
divide both sides by 11
x = 60, each tv is $60
Answer:
1250 m²
Step-by-step explanation:
Let x and y denote the sides of the rectangular research plot.
Thus, area is;
A = xy
Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.
Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;
2x + y = 100
Thus, y = 100 - 2x
Since A = xy
We have; A = x(100 - 2x)
A = 100x - 2x²
At maximum area, dA/dx = 0.thus;
dA/dx = 100 - 4x
-4x + 100 = 0
4x = 100
x = 100/4
x = 25
Let's confirm if it is maximum from d²A/dx²
d²A/dx² = -4. This is less than 0 and thus it's maximum.
Let's plug in 25 for x in the area equation;
A_max = 25(100 - 2(25))
A_max = 1250 m²
Answer:
15
Step-by-step explanation:
