Which Interval describes where the graph of the function is negative?

Step-by-step explanation:

question 13: false

question 14: 1

Answer:

see explanation

Step-by-step explanation:

Note that [tex]log_{e}[/tex] x = lnx ( natural logarithm)

Using the standard derivatives

[tex]\frac{d}{dx}[/tex] (lnx ) = [tex]\frac{1}{x}[/tex] , [tex]\frac{d}{dx}[/tex] ([tex]log_{a}[/tex] x ) = [tex]\frac{1}{xlna}[/tex]

Using the chain rule

Given y = f(g(x)) , then

[tex]\frac{dy}{dx}[/tex] = f'(g(x))) × g'(x) ← chain rule

(c)

y = [tex]log_{10}[/tex] (x² - 2) then

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{(x^2-2)ln10}[/tex]  × [tex]\frac{d}{dx}[/tex] (x² - 2)

    = [tex]\frac{1}{(x^2-2)ln10}[/tex] × 2x

    = [tex]\frac{2x}{(x^2-2)ln10}[/tex]

(d)

y = ln([tex]\frac{1}{x}[/tex] )

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{\frac{1}{x} }[/tex] × [tex]\frac{d}{dx}[/tex] ([tex]x^{-1}[/tex] )

   = x × - [tex]x^{-2}[/tex]

   = x × [tex]\frac{-1}{x^2}[/tex]

   = - [tex]\frac{1}{x}[/tex]

Answer:

26

Step-by-step explanation:

u dont need it

Given;

The graph of a line.

To find:

The slope of the line.

Solution:

From the given graph it is clear that the line passes through the points (1,7) and (3,5).

So, the slope of the given line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-7}{3-1}[/tex]

[tex]m=\dfrac{-2}{2}[/tex]

[tex]m=-1[/tex]

Slope of the line is -1.

Therefore, the correct option is D.

Answer:

The retail price to purchase a remote-controlled car at the hobby store is $42

Step-by-step explanation:

Original Price of remote controlled car = $35

Mark up = 20%

We need to find retail price.

First we will find mark up value i.e. 20% of 35 and then add it to the original price to find retail price.

Finding 20% of 35

[tex]20\% \:of\: 35\\=\frac{20}{100}\times 35\\=7[/tex]

So, mark up price is $7

Now, the retail price will be:

Retail price = Original Price + Mark up

Retail price = 35 + 7

Retail price = 42

So, the retail price to purchase a remote-controlled car at the hobby store is $42

Answer:

He reflected it over the y-axis

Step-by-step explanation:

If the x coordinate is made a negative, that means it was crossed over the line that determines the y coordinate

Answer:

24%

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

Answer:

i think c

Step-by-step explanation:

Just multiply the numbers 5 and 2 to get 10. Then add the the exponent t and add the exponents together so you answer would be 10t^-7

Brainiest please?

Answer:

48 m²

Step-by-step explanation:

Given that:

Height of parallelogram, h = 8 meters

Base length of parallelogram, b = 6 meters

The Area of a parallelogram is given by :

Base * height

8 meters * 6 meters

= 48 m²

Answer:

2:4 like in a basketball game 2/4 like a fraction 2:4 like a competitive thing

Step-by-step explanation:

Answer:

F(-2)=2

Step-by-step explanation:

F(x)=4x+10

F(-2)

F(-2)=4(-2)+10

           -8 +10

F(-2)= 2

Answer:

Hope this helps sorry I'm in class right now

Step-by-step explanation:

Answer:

2 games

Step-by-step explanation:

Given data

The Fun Guys game

charges  annual fee of  $5 plus $5.50 per game

let the number of games be x

and the total charges be y

The expression for the total is

y=5+5.5x---------------1

The Game Bank

charges an annual fee of $11 plus $2.50 per game.

y=11+2.5x---------------2

Equate 1 and 2 above

5+5.5x=11+2.5x

collect like terms

5.5x-2.5x= 11-5

3x= 6

divide both sides  by 3

x= 6/3

x= 2

It will take 2 games

Answer: I believe the answer is 6x.

Answer:

6x

Step-by-step explanation:

the -3x cancels out 3 from the 9x making it 6x :)

Answer:

x = 4[tex]\sqrt{3}[/tex]

y = 6

z = 8

Step-by-step explanation:

keep in mind I'm not doing that well with geometry so this might all be wrong lol

x is part of a 30 60 90 triangle.

so x is 4[tex]\sqrt{3}[/tex]

next, this is a right angle triangle so you can follow the a^2 + b^2 = c^2 formula.

4 + 6 = 10

10^2 = 100

100 = a^2 + b^2

y = 6 and z = 8 bc 36 + 64 = 100

Answer:

" The x-coordinato is negative, and the y coordinato is negativo. "

Step-by-step explanation:

Both are in the bottom left quadrant: -x -y

You started here:

And reflected across the ☝ line aka Y

Which means it would now be on the left

Answer:

5x-6

Step-by-step explanation:

Answer:

Yes it is showing a function

Step-by-step explanation:

Answer:

70 miles

Step-by-step explanation:

You multiply 35 by 2.5

Answer:

3

Step-by-step explanation:

the y intercept is were x=0

Answer:

x = 12

Step-by-step explanation:

18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.

Using this 3:4 scale factor we can find the missing side x.

Solving for x :

[tex]\frac{3}{4}[/tex] × 16 = 12

x = 12

OR: Set up a proportion:

[tex]\frac{24}{16}[/tex] × [tex]\frac{18}{x}[/tex]

cross-multiply

16 × 18 = 288

24 × x = 24x

288 = 24x

x = 12

Answer:

her total profit is 3

Step-by-step explanation:

1.50 x 30 = 45

to find total profit - 45-42= 3

The answer fam is..... c) real numbers

Answer:

(-3,5)

Step-by-step explanation:

To solve using substitution, first isolate one variable in one of the given equations. Then, substitute the value you received from that equation for the matching variable in the second equation. Finally, substitute that value back into any of the equations to have both the x and y values.

1) The y in y = x + 8 is already isolated, so let's substitute that value for the y in x + y = 2. Substitute x + 8 for y in x + y = 2, then solve:

[tex]x + y = 2\\x + (x + 8) = 2 \\x + x + 8 = 2\\2x + 8 = 2 \\2x = -6\\x =-3\\[/tex]

Therefore, the x-value of the solution is -3.

2) Substitute the x value back into any of the one equations to find the value. Any choice is fine - in my work, I chose to substitute -3 for the x in y = x + 8:

[tex]y = x + 8 \\y = (-3) + 8\\y = -3 + 8\\y = 5[/tex]

Therefore, the y-value of the solution is 5.

3) Thus, the solution is (-3, 5).  

Answer:

9k=18

k=9

Step-by-step explanation: