Plug x = 0 into the function
f(x) = x^3 + 2x - 1
f(0) = 0^3 + 2(0) - 1
f(0) = -1
Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.
Repeat for x = 1
f(x) = x^3 + 2x - 1
f(1) = 1^3 + 2(1) - 1
f(1) = 2
This result is positive.
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We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.
To actually find this root, you'll need to use a graphing calculator because the root is some complicated decimal value. Using a graphing calculator, you should find the root to be approximately 0.4533976515
The answer is 90 units hope this helps
Someone is writing the answer so ill just give you this tip for whenever.
A negitive times a negitive is positive
a negative times a positive is negitive
and a positive times a positive is positive (just had to add it to be complete)
Given:
2 rectangular prism.
same height
square bases
Box A Box B
Square Base side 2 ft 0.75 ft
Height 4 ft 4 ft
Solving for the space inside each rectangular prism, we need to find its volume.
Volume of a rectangular prism = length * width * height
Box A:
Volume = 2 ft * 2 ft * 4 ft = 16 cubic feet
Box B:
Volume = 0.75 ft * 0.75 ft * 4 ft = 2.25 cubic feet
Box A - Box B = difference in space
16 cubic feet - 2.25 cubic feet = 13.75 cubic feet
Box A contains 13.75 cubic feet more space than Box B.
Answer:
begins the trip with 14 gallons of gas in her car.
The car uses up one gallon of gas every 30 miles.
Let g represent the number of gallons of gas she has left in her tank, and let d
represent the total distance
Step-by-step explanation:d = 30(14 - g)
:
For example, if she uses two gallons, there will be 12 gal left in the tank; g=12
d = 30(14 - 12)
d = 30(2)
d = 60 mi Here you go