<h3>
#1</h3>
Given: f(x) = 3x² -5x + 4
To find f(-2), simply substitute x = -2 in function f(x).
f(-2) = 3(-2)² -5(-2) + 4
f(-2) = 12 + 10 + 4
f(-2) = 26
Answer: 26
<h3>#2</h3>
For an ordered pair (x, y) in a relation, the y element represents the range.
Answer: range
The cost is dependent on the number of games played so
Cost: dependent
Number of games: independent
Answer:
B: 81π inches
Step-by-step explanation:
The formula for the circumference of a circle is C = πd and the formula for the area of a circle is A = πr²
- The formula for the circumference of a circle can also be written as C = 2πr since the diameter is equal to double the radius (d = 2r)
- So we need to solve for r since that is the variable we are missing in order to solve for the area
Plugging in our known values to the circumference formula we have:
- 18π = 2πr
- Then dividing both sides by 2π we have 9 = r
Now that we have solved for the radius, we can plug in this value to the area formula:
Answer:
find the radius of the base
find the area of the base
find the height of the cone
divide by three at the end
Step-by-step explanation:
this is from the formulae of volume of the cone
1/3πr2h
Answer:
26.4 km/hr
Step-by-step explanation:
Sofia and Diego drive to work.
For Sofia
We convert miles to km
Sofia drives 72 miles in 1.5 hours.
1 mile = 1.6 km
72 miles = x
x = 72 × 1.6 km
x = 115.2 km
We find the speed in km/hr
Speed = Distance /Time
= 115.2km/1.5 hours
= 76.8 km/hr
For Diego
Diego drives 126 km in 2 hour 30 min.
Speed = Distance/Time
Time = 2 hour 30 min = 2.5 hours
Speed = 126km/2.5 hours
= 50.4 km/hr
The difference between their average speeds in km/h is calculated as:
76.8 km/hr - 50.4 km/hr
= 26.4 km/hr
