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
(1) x represents the number of apples bought, y represents the number of bananas.
(2) each term represents the total costs of a given fruit, so 0.50x is the total cost of apples and 0.30y is total cost of bananas.
(3) The coefficients are unit prices: coefficient 0.50 is the price of 1 apple, 0.30 is the price of 1 banana.
Let
l------> the length side of the rectangle
w----> the width side of a rectangle
b----> the base of the triangle
h----> the height of the triangle
we know that
the area of the yard is equal to

Solve for b------> ( that means clear variable b)
Subtract
both sides


Divide by
both sides


therefore
<u>the answer is the option B</u>
The quantity A minus l times w all divided by 0.5 times h
Answer:
y=cos(x+π)
Step-by-step explanation:
Known that the cosine function has a period of 2π.
Now, the parental function is y = cosx, which has y-intercept at y = 1, and x-intercept at π/2.
Notice that the function showed in the graph attached has y-intercept at y = -1 and x-intercept at π/2. This indicates that the function has been moved leftwards π units.
Therefore, the function that belongs to this graph is
