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2 years ago

Given the function f(x)= 3(x-2)² + 5, what is f(-1)?

Mathematics

2 answers:

motikmotik2 years ago

5 0

Answer:

Step-by-step explanation:

f(x)= 3(x-2)² + 5

Let x = -1

f(-1)= 3(-1-2)² + 5

Parentheses first

f(-1) = 3(-3)^2 +5

Exponents

f(-1)= 3*9 + 5

Multiply

f(-1) = 27+5

Add

f(-1) = 32

Anna11 [10]2 years ago

5 0

Answer: 32

=3(-1-2)^2+5
=3(-3)^2+5
=3•3^2+5
=3^3+5
=27+5
=32

Explanation: Plug in -1 for x in the function and solve.

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You are given the function f(x)=1/x^2+10. f(x) is concave up whenever: A. x^2−10 is negative. B. 3x^2−10 is positive. C. 3x^2+10

lukranit [14]

Answer:

f(x) is concave up whenever:

B. 3x²−10 is positive

f(x) is concave down whenever:

A. 3x²−10 is negative

The points of inflection of f(x) are the same as:

B. the zeros of 3x²−10

Step-by-step explanation:

Given the function f(x) = 1 / (x²+10)

We can determine the concavity by finding the second derivative.

f"(x) > 0 ⇒ f(x) is concave up

f"(x) < 0 ⇒ f(x) is concave down

Then

f'(x) = (1 / (x²+10))' = -2x / (x²+10)²

⇒ f"(x) = -2*(10-3x²) / (x²+10)³

if f"(x) = 0 ⇒ -2*(10-3x²) = 0 ⇒ 3x²-10 = 0

f(x) is concave up whenever 3x²−10 > 0

f(x) is concave down whenever 3x²−10 < 0

The points of inflection of f(x) are the same as the zeros of 3x²-10

it means that 3x²-10 = 0

7 0

3 years ago

I dont Know what to put here<br> But Anwer Pls

zlopas [31]

Well if the radius of the circle is 34.5 all you have to do to get the length of the diameter is double it (multiply by 2)
34.5•2=69
34.5+34.5=69
the diameter of the circle is 69

3 0

2 years ago

I have no clue how to do this, I've look all over the book and still dont understand it

Anna71 [15]

You can do this on a calculator

3 0

3 years ago

"is it possible to have more than one set of seven numbers having a mean of 50 and a standard deviation of 0?"

12345 [234]

The answer is 1.6. How??

8 0

3 years ago

Part F What is the mean absolute deviation for Doctor A’s data set on glasses? What is the mean absolute deviation for Doctor B’

frez [133]

There is more variability on glasses of doctor B's dataset than the glasses of doctor A's dataset

<h3>The doctors' mean absolute deviation on glasses</h3>

The dataset of doctor A is given as:

643 634 670 658 636 624 641 655 649 629

The dataset of doctor B is given as:

651 625 622 624 631 621 653 647 646 646

Using a statistical calculator, we have:

<u>Doctor A</u>

Doctor A: Mean Absolute Deviation (MAD) = 11.28
Doctor B: Mean Absolute Deviation (MAD) = 12

Hence, the mean absolute deviation is 11.28 for Doctor A’s and 12 for Doctor B’s data set on glasses

<h3>The variation of the two data</h3>

In a dataset, the larger the mean absolute deviations value, the larger the variation.

By comparison, 12 is greater than 11.28

Hence, there is more variability on glasses of doctor B's dataset than the glasses of doctor A's dataset

Read more about mean absolute deviation at:

brainly.com/question/3250070

#SPJ1

7 0

1 year ago