(20 miles) / (4 hours) = (20/4) (miles/hours) = 5 miles per hour
(4 hours) / (20 miles) = (4/20) (hours/miles) = 0.2 hours per mile =
<em> 12 minutes per mile</em>
Answer:
The function f(x) = 1/5x2 – 5x + 12 is a quadratic function, because the higher exponent is 2.
The correct statements are:
- The value of f(-10) = 82
- The graph of the function is a parabola
- The graph contains the point (20,-8)
Step-by-step explanation:
- The value of f(-10) = 1/5(-10)2 – 5(-10) + 12 = 1/5(100)+50+12 = 82 (<em>True</em> s<em>tatement</em>).
- The graph of the function is a parabola, as all the quadratic functions. (<em>True</em> s<em>tatement).</em>
- The graph of the function opens down: The parabola opens up or down depending on the "a". It is the important part of the function that determines whether it opens up or down, the parabola will open up when "a" is greater than zero.
When "a" is smaller than zero the parabola will open down. In our example a = 1/5 (greater than zero, so the parabola opens up). <em>(False Statement)</em>
- The graph contains the point (20,-8). For f(20) = 1/5(20)2 - 5(20) +12 = 1/5(400) - 100 + 12 = 80 - 100 + 12 = -8 <em>(True Statement).</em>
- The graph contains the point (0,0). For f(0) = 1/5(0)2 - 5(0) + 12 = 12, the correct point is (0,12) <em>(False Statement)</em>.
Answer:
I don't think you added your question here. Can you post your question again?
Answer:
The two pizzas will same cost when 2 toppings are added on the pizza.
Step-by-step explanation:
We are given the following in the question:
Papa's pizza:
Cost of pizza = $6.80
Cost of each topping = $0.90
Let x be the total number of toppings.
Total cost =
Little Italy's pizza:
Cost of pizza = $7.30
Cost of each topping = $0.65
Let x be the total number of toppings.
Total cost =
Equating the two equations, we get,
Thus, the two pizzas will same cost when 2 toppings are added on the pizza.
Take the inverse of cotangent to get your degree measure, then plug it into each answer choice.
I am joyous to assist you anytime.