The word " _____ " in a word problem probably indicates you may estimate an answer.

What pages will be favored for the given search? Search terms: Michael OR Jordan A. Pages about Michael Jordan B. Pages about Mi

ad-work [718]

Answer:

A. Pages about Michael Jordan.

Step-by-step explanation:

Michael Jordan, MJ, is a great basketball player, and has achieved one the best records in his career. He is a National Basketball Association (NBA) player with great skills and energy.

From the search item, the two names Michael OR Jordan is for one person, Michael Jordan. The search would combine the two names because it is a well known one and give an output on Michael Jordan. Thus, the pages that would be favored are pages about Michael Jordan.

7 0

2 years ago

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which

Dmitrij [34]

Answer: All the real values except x ≠ 7 and the x for which f(x)≠-3

Step-by-step explanation:

Since, For function f , the domain is R - {7}

That is, If x is any element of the domain of the function f,

Then, x ≠ 7

(gof)(x) = g(f(x))

Since, For the function g, the domain is R - {-3}

Thus, If f(x) is any element of the domain of the function g,

Then f(x)≠ -3

Hence, Fourth Option is correct.

8 0

2 years ago

Сумму чисел 165 и 633 уменьшили в несколько раз получили 266. Чему равно неизвестное число?

Whitepunk [10]

Answer:

3

Step-by-step explanation:

The sum of 165 and 633 will be

165+633=798

When the sum is reduced to 266, it means the sum is reduced by 798/266=3

The sum is reduced three times.

Therefore, as per the question, this sum was reduced three different times

4 0

2 years ago

Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to

nikklg [1K]

Answer:

Part 1)

See Below.

Part 2)

$\displaystyle (-0.179, -0.178) \cup (-0.010, 0.012)$

Step-by-step explanation:

Part 1)

The linear approximation L for a function f at the point x = a is given by:

$\displaystyle L \approx f'(a)(x-a) + f(a)$

We want to verify that the expression:

$1-36x$

Is the linear approximation for the function:

$\displaystyle f(x) = \frac{1}{(1+9x)^4}$

At x = 0.

So, find f'(x). We can use the chain rule:

$\displaystyle f'(x) = -4(1+9x)^{-4-1}\cdot (9)$

Simplify. Hence:

$\displaystyle f'(x) = -\frac{36}{(1+9x)^{5}}$

Then the slope of the linear approximation at x = 0 will be:

$\displaystyle f'(1) = -\frac{36}{(1+9(0))^5} = -36$

And the value of the function at x = 0 is:

$\displaystyle f(0) = \frac{1}{(1+9(0))^4} = 1$

Thus, the linear approximation will be:

$\displaystyle L = (-36)(x-(0)) + 1 = 1 - 36x$

Hence verified.

Part B)

We want to determine the values of x for which the linear approximation L is accurate to within 0.1.

In other words:

$\displaystyle \left| f(x) - L(x) \right | \leq 0.1$

By definition:

$\displaystyle -0.1\leq f(x) - L(x) \leq 0.1$

Therefore:

$\displaystyle -0.1 \leq \left(\frac{1}{(1+9x)^4} \right) - (1-36x) \leq 0.1$

We can solve this by using a graphing calculator. Please refer to the graph shown below.

We can see that the inequality is true (i.e. the graph is between y = 0.1 and y = -0.1) for x values between -0.179 and -0.178 as well as -0.010 and 0.012.

In interval notation:

$\displaystyle (-0.179, -0.178) \cup (-0.010, 0.012)$