F(x) is continuous for all x.
Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.
At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.
Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0
Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40
Answer: 24 cones.
Step-by-step explanation:
We know that each cone contains 1/32 of a gallon of ice cream.
And Izzy has a total of 3/4 gallons.
How many cones we can make with this? This will be equal to the quotient between 3/4 gallons and 1/32 gallons, which will be equal to the number of times that we can fit 1/32 in 3/4
this is:
N = (3/4 gal)/(1/32 gal) = 24
This means that we can make 24 ice cream cones with 3/4 gal of ice cream.
The slope of the function is $400.
<h3 /><h3>Definition of slope of a function</h3>
The slope of a function is the rate of change of the dependent variable with respect to the independent variable. The equation that represents a function is: y = mx + b
Where:
- y = dependent variable
- m = independent variable
- x = slope
- b = constant
Looking at the total money raised, the amount of money increases by 400. This is the slope.
To learn more about slope, please check: brainly.com/question/2491620
Answer:
237
Step-by-step explanation:
The Average speed would be 60 miles per hour.
- Divide 330 by 5.5 hours
