The line tangent to the curve at 
has slope
Then the tangent line has equation
4x - 3y = 17.....multiply by 4
5x + 4y = 60 ...multiply by 3
-----------------
16x - 12y = 68 (result of multiplying by 4
15x + 12y = 180 (result of multiplying by 3
-----------------add
31x = 248
x = 248/31
x = 8
4x - 3y = 17
4(8) - 3y = 17
32 - 3y = 17
-3y = 17 - 32
-3y = - 15
y = -15/-3
y = 5
solution is (8,5) <==
First blank: Rational
Second blank: 2/9
Third blank: 22/100 = 11/50
Fourth blank: irrantional
Fifth blank: no fraction equivalent
Sixth blank: perfect square
Seventh blank: non-perfect square
Answer:
a. $17.50
b. $11.25
c. $5
Step-by-step explanation:
First, set up an equation:
20 - 1.25x = m
Now let's substitute in for x (which is how many snacks you buy) to solve for m (the amount of money you have left):
20 - 1.25 ( 2 ) = m
20 - 2.50 = m
17.50 = m
20 - 1.25 ( 7 ) = m
20 - 8.75 = m
11.25 = m
20 - 1.25 ( 12 ) = m
20 - 15 = m
5 = m
