Answer:
500 and 900
Step-by-step explanation:
3(x - 300) + 2(x + 100) = 3300 ← distribute parenthesis
3x - 900 + 2x + 200 = 3300
5x - 700 = 3300 ( add 700 to both sides )
5x = 4000 ( divide both sides by 5 )
x = 800
Then
cost of book = x - 300 = 800 - 300 = 500
cost of pen = x + 100 = 800 + 100 = 900
So lets try to prove it,
So let's consider the function f(x) = x^2.
Since f(x) is a polynomial, then it is continuous on the interval (- infinity, + infinity).
Using the Intermediate Value Theorem,
it would be enough to show that at some point a f(x) is less than 2 and at some point b f(x) is greater than 2. For example, let a = 0 and b = 3.
Therefore, f(0) = 0, which is less than 2, and f(3) = 9, which is greater than 2. Applying IVT to f(x) = x^2 on the interval [0,3}.
Learn more about Intermediate Value Theorem on:
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Answer:
The value of the function f(x) at each point is f(-1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21 ⇒ A
Step-by-step explanation:
Let us use the mapping shown to solve the question
∵ f(x) = y
∵ x is the domain
∵ y is the range
→ From the figure use x from the domain and y from the range, where
each arrow pointed at the corresponding value y of x
∵ x = -1 and the corresponding value of y is 5
∴ f(-1) = 5
∵ x = 0 and the corresponding value of y is 3
∴ f(0) = 3
∵ x = 1 and the corresponding value of y is 5
∴ f(1) = 5
∵ x = 2 and the corresponding value of y is 11
∴ f(2) = 11
∵ x = 3 and the corresponding value of y is 21
∴ f(3) = 21
The value of the function f(x) at each point is f(-1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21
43.96 is what i got! im sorry if i got it wrong
