Answer:
f(-14) = -6
f(-4) = 6
f(12) = 6
f(0) = -3
negative
Step-by-step explanation:
f(-14) = -6
This is because when x is -14, y is -6, as seen in the graph
f(-4) = 6
This is because when x is -4, y is 6, as seen in the graph
f(12) = 6
This is because when x is 12, y is 6, as seen in the graph
f(0) = -3
This is because when x is 0, y is -3, as seen in the graph
is f(4) positive or negative?
negative
This is because when x is 4, y is -6, as seen in the graph
Answer:
The last option: 27 times the original volume.
Step-by-step explanation:
The dimensions are tripled so and we are talking volumes so:
The factor of enlargement is 3^3 = 27.
Answer:
Yes, the students answer is reasonable.
Step-by-step explanation:
Answer to the first question
Answer:
<em>$ 33.6 to fill this tank, provided a community cost of $2.8 per gallon</em>
Step-by-step explanation:
1. Let us first find the volume of the gas the tank, by the general multiplication of Base * height ⇒ 11 inches * 1.25 feet * 1.75 feet. For the simplicity, we should convert feet ⇒ inches, as such: 1.25 feet = 1.25 * 12 inches = 15 inches, 1.75 feet = 1.75 * 12 inches = 21 inches. Now we have a common unit, let us find the volume ⇒ 11 in. * 15 in. * 21 in. = 3465 inches^3.
2. Let us say that the the average price of gas in my community is $2.8 per gallon. We would first have to convert inches ⇒ gallons provided 1 gallon = 231 inches: 3465/231 = 15 gallons.
4. Now simply multiply this price of 2.8 dollars per gallon by the number of gallons to receive the cost if the tank was full: 2.8 * 15 = <em>$ 42 if this tank was full provided a community cost of $ 2.8 per gallon</em>
5. Now this tank is 20% full, so we must calculate the cost to fill the other 80% up. That would be 80/100 * 42 = 4/5 * 42 = 168/5 = <em>$ 33.6 to fill this tank, provided a community cost of $2.8 per gallon</em>
