Answer:
Step-by-step explanation:
Answer:
The correct options are;
Answer to A1 is D
Answer to A2 is D
Answer to A3 is D
Answer to A4 is D
Answer to A5 is D
Answer to A6 is D
Answer to A7 is D
Answer to A8 is D
Answer to A9 is D
Answer to B1 is I
Answer to B2 is I
Answer to B3 is I
Answer to B4 is I
Answer to B5 is I
Answer to B6 is I
Step-by-step explanation:
The given function is f(x) = 9·x² + 54·x - 66
The extremum of the function are found as follows;
d(f(x))/dx = 0 = d(9·x² + 54·x - 66)/dx = 18·x + 54
∴ 18·x + 54 = 0 at the maximum or minimum points
x = -54/18 = -3
Given that d²(f(x))/dx² = 18 > 0. x = -3 is a minimum point
Given that the function is a quadratic function, we have;
1) Points to the left of x = -3 are decreasing
2) Points to the right of x = -3 are increasing.
Answer:
33% off the regular price
Step-by-step explanation:
Lets give these a variables to help us better understand this concept
In our scenario lets say the price is $10.00 and you get 10 milliliters prior to the special, this is arbitrary as any values would do
33% extra free
For the 33% extra free deal you get 3.3 milliliters more for $10 for a total of 13.3 milliliters [Math behind this solution: <em>(10*.33)+10</em>]
<u><em>So now to know how much you're getting per dollar:</em></u>
13.3/10 = 1.33 ml per dollar
33% off the price
This basically means 67% of the actual price so with that being said
you'd be paying $6.7 for 10 ml. This means you get 1.49 ml per dollar
Compare
1.33ml vs 1.49ml
1.33 < 1.49 so thus 33% off the price is a better deal
Answer is option C
Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

k is the constant of proportionality
We check with each option and identify which option gives us same K value
(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours
so k = 10
so k = 22.5
K values are not same
(b) 3 mph for 2 hours and 4.5 mph for 3 hours
so k = 6
so k = 13.5
K values are not same
(c) 4 mph for 2.5 hours and 5 mph for 2 hours
so k = 10
so k =10
K values are same .
Answer is option C
Answer:
angle ZOW is 110°
Step-by-step explanation:
Since angle ZOW and ZOY are supplementary angles, they add up to 180° when added together.
So, we just need to set up an equation:
∠ZOW+70°=180°
Subtract 70° from each side:
∠ZOW+70°-70°=180°-70°
Which leaves you with
∠ZOW=110°