According to the graph of F(x), which of the statements below are true? check all that apply

Mathematics

1 answer:

pychu [463]4 years ago

8 0

Answer:

B, E and F

Step-by-step explanation:

This graph is a log which has an asymptote. This means the function does not cross it and does not have in its domain certain numbers. The asymptote is at -2. This means the domain is greater than -2.

The range is the y-values. With no restrictions here, the function includes all numbers.

This means B, E, and F are true.

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Find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -Si (Show all work to earn credit.)

antoniya [11.8K]

Answer: The required polynomial of lowest degree is $p(x)=x^3-2x^2+25x-50$

Step-by-step explanation: We are given to find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -5i.

We know that

if x = a is a zero of a real polynomial function p(x), then (x - a) is a factor of the polynomial p(x).

So, according to the given information, (x - 2) and ( x + 5i) are the factors of the given polynomial.

Also, we know that complex zeroes occur in conjugate pairs, so 5i will also be a zero of the given polynomial.

This implies that (x - 5i) is also a factor of the given polynomial.

Therefore, the polynomial of lowest degree (three) with real coefficients having zeroes of 2 and -5i is given by

$p(x)=(x-2)(x+5i)(x-5i)\\\\\Rightarrow p(x)=(x-2)(x^2-25i^2)\\\\\Rightarrow p(x)=(x-2)(x^2+25)\\\\\Rightarrow p(x)=x^3-2x^2+25x-50$

Thus, the required polynomial of lowest degree is $p(x)=x^3-2x^2+25x-50$

4 0

4 years ago

This expression represents the average cost per game, in dollars, at a bowling alley, where n represents the number of games:

Dmitry_Shevchenko [17]

Answer:

Average Cost per game for 4 games is:

A) $4.75

Step-by-step explanation:

As the question is not complete, lets complete it first.

At the bowling Alley, shoe rentals cost $3 while a games costs $3. The expression that represents the average costs per game 'c' , in dollars, where n is the number of games, is:

$c=\frac{4n+3}{n}$