I need help in math lol

PLEASE HELP Which expression represents the difference quotient of the function f (x) = negative StartRoot 2 x EndRoot?

natali 33 [55]

Answer:

c is the correct option

Step-by-step explanation:

from,

f'(x) = h >0 f(x + h) - f(x)

h

f(x) = - √2x

f(x + h) = - √(2x + h)

f'(x) = h>0 -√(2x + h) - √2x

h

rationalize the denominator

= h>0 -√(2x + h) + √2x (-√(2x + h) - √2x)

h (-√(2x + h) - √2x)

= h>0 4x + 2h - 4x

h(-√(2x + h) -√2x)

= h>0 2h

h(-√(2x+h) - √2x)

= h>0  2 

-√(2x+h) - √2x

5 0

3 years ago

Read 2 more answers

Solve. 4 – d < 4 + d d > 8 d > 0 d > –8 d > –4

yaroslaw [1]

Answer:

-2d + 4 < 4

-2d < 0

d > 0

answer is b

3 0

3 years ago

In a study of a gender selection method used to increase the likelihood of a baby being born a girl, 2086 users of the method g

kipiarov [429]

Answer:

C : does not have statistical significance

Step-by-step explanation:

Because there is a 15% chance of getting that many girls by chance, the method - does not have statistical significance.

By this method, the percentage of girls = $1067/2086=0.5115$ or 51.15%

This type of method does not have practical significance.

6 0

3 years ago

Write an exponential equation in the form y = ab* whose graph passes through points (2, 18) and (5, 60.75).

DochEvi [55]

Let $y=ab^x,$ as described in the problem statement. Plugging in $x=2$ and $x=5$ gives us the equations $18=ab^2$ and $60.75=ab^5.$ Since $a,b$ are nonzero, we divide the second equation by the first to get $\frac{27}{8}=b^3,$ which means that $b=\frac{3}{2},$ after taking the cube root. Plugging this value for $b$ into the first equation, we now have $18=a(3/2)^2=\frac{9a}{4}.$ Solving gives $a=8,$ and our desired exponential equation is $\boxed{y=8\left(\frac{3}{2}\right)^x}.$

8 0

3 years ago

working together Alberto and Amanda can paint a fence in 4.12 hours. had she done it alone it would have taken Amanda 10 hours.

strojnjashka [21]

Answer:

D) 7.01

Step-by-step explanation:

The rates of doing work, in terms of jobs per hour, will add when the two painters are working together. If A represents Alberto's time to do the job alone, we have ...

1/4.12 = 1/10 + 1/A

(Jobs per hour is the inverse of hours per job.)

A = 1/(1/4.12 -1/10) ≈ 7.0068 ≈ 7.01

It takes Alberto 7.01 hours to do the job alone.

6 0

3 years ago