All categories

3 years ago

Use the given graph to estimate the value of each derivative. (Round all answers to one decimal place.)

Mathematics

1 answer:

MatroZZZ [7]3 years ago

5 0

F'(x) is the derivative of f(x). the y value of derivative is the same value as the slope of f(x) at whatever point your looking at so at x=1 the tangent line of f(x) will be horizontal (or zero) so f'(x)=0

You might be interested in

Solve for x: −2x + 5 < 7 <br> Please Help Meh!! DO you LIKE to see people STRUGGLE?!?!

Arlecino [84]

x > -1

-2x+5 < 7

-2x<2

Now since you divide by (-1) to get positive 2,you need to flip the sign

(-2)/(-1)= 2 2/(-1)=-2

2x>-2

x > -1

To check the solution do not replace the x by -1 because it shouls be more than -1 (You can choose 0,1,2,3....)

Example choose x=3

-2x3+5<7

-6+5<7

-1<7

8 0

3 years ago

If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?

Vinil7 [7]

Answer:

The expression used to represent g(x) as inverse of f(x) is $\frac{1}{5}(5x-25)+5$

Option B is correct.

Step-by-step explanation:

We are given:

$f(x)= 5x-25\\g(x)=\frac{1}{5}x+5$

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that $g(f(x))=x$ is inverse of function

So placing value of f(x) in g(x)

$g(f(x))=\frac{1}{5}(5x-25)+5$

So, the expression used to represent g(x) as inverse of f(x) is $\frac{1}{5}(5x-25)+5$

Option B is correct.

We can also solve to prove that $g(f(x))=x$

$g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x$

5 0

2 years ago

Read 2 more answers

The ratio of the side length of a square to the square's perimeter is always 1 to 4.

makvit [3.9K]

Answer:

Side length of square (inches): 1 ,2, 4, 7

Perimeter of square (inches). : 4, 8, 16, 28

Step-by-step explanation:

Ratio is 1:4 (S:P).

So:

#:8, #=2. This is because 2/8 and 1/4 both = 0.25.

#:16, #=4. 4/16=0.25

7:#, #=28. 4x7=28, 7/28=0.25

Hope that helps

7 0

2 years ago

6. I think the answer is H, could you help and check?!

Sliva [168]

Set up an equation to solve.
70% of original price equals $550, the amount Susan is paying.
0.70x = 550

8 0

3 years ago

Read 2 more answers

What is the expression?

pentagon [3]

Step-by-step explanation:

Take a look at the picture, And tell me if am wrong

5 0

3 years ago