Information we know:
a 15 ounce cup takes 3 second to fill
determine variables:
x=3
y=15
rate:
y/x=3/15= 0.2
fixture an equation:
y=kx
y=0.2x
plug in 40 for x:
y=0.2(40)
=8
Thus, it should take 8 seconds to fill a 40-ounce cup of soda.
Answer:
2
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (4, - 6)
d = 
= 
= 
= 
= 
= 
× = 2
Answer:
7.2
Step-by-step explanation:
First differences:
0.8-0.2, 1.8-0.8, 3.2-1.8, 5.0-3.2
0.6, 1.0, 1.4, 1.8
Second differences:
1.0-0.6, 1.4-1.0, 1.8-1.4
0.4, 0.4, 0.4
For the next term, add 0.4 to the last term from the first differences, and add the sum to the last term of the quadratic sequence:
0.4+1.8=2.2
2.2+5.0=7.2
∴ The next term in the sequence is 7.2
Answer:
20 newspapers
Step-by-step explanation:
First create an equation.
y = 0.75x + 45
Now substitute 60 y and solve for x.
60 = 0.75x + 45
60 - 45 = 0.75x + 45 - 45
15/0.75 = 0.75x/0.75
x = 20 newspapers
You could actually find the compositions and thus have something to compare. You haven't shared the list of possible answer choices.
(f+g)(x) = 5x - 3 + x + 4 = 6x + 1
(f-g)(x) = 5x - 3 - x - 4 = 4x - 7
(f*g)(x) = (5x-3)((x+4) = 5x^2 + 20x - 3x - 12 = 5x^2 + 17x - 12
There are also the quotient (f/g)(x) and the compositions f(g(x)) and g(f(x)).
WRite them out.
Then you could arbitrarily select x values, such as 2, 10, etc., subst. them into each composition and determine which output is greatest.
