Express the following in standard form: i) 39700000 ii) 0.00000023 iii) 0.00057865​

As the name of the test suggests, you have to compute the derivative:

[tex]f(x) = \dfrac1{2x+3} \implies f'(x) = -\dfrac2{(2x+3)^2}[/tex]

Find where, if at all, the derivative vanishes or is undefined - these are the critical points of f(x).

In this case, the derivative is never 0 since the numerator is constant and the denominator is non-negative. You also see that f '(x) is negative over its entire domain.

The denominator goes to 0 when 2x + 3 = 0, or x = -3/2.

Now split up the domain of f(x) into intervals with endpoints at the critical points. Here, we consider the two intervals, (-∞, -3/2) and (-3/2, ∞).

Take any point from either interval and check the sign of f '(x) at that point. Any points will do, but you should strive to pick one that makes calculations simple.

• From (-∞, -3/2), take x = -2; then f ' (-2) = -2 < 0. Since f '(x) is negative over this interval, f(x) is decreasing over it.

• From (-3/2, ∞), take x = 0; then f ' (0) = -2/9 < 0. Again, this means f(x) is decreasing over this interval.

So, the first derivative test tells us that f(x) = 1/(2x + 3) is decreasing over the intervals (-∞, -3/2) and (-3/2, ∞); in other words, over its entire domain.

For the second function, we have

[tex]f(x) = \dfrac{x+1}{x+3} \implies f'(x) = \dfrac{(x+3)-(x+1)}{(x+3)^2} = \dfrac2{(x+3)^2}[/tex]

Again, there's only one critical point, this time at x = -3 where the derivative is undefined.

• From the interval (-∞, -3), take x = -4; then f ' (-4) = 2 > 0, so f(x) is increasing.

• From the interval (-3, ∞), take x = 0; then f ' (0) = 2/9 > 0, so f(x) is increasing.

Answer:

A familiar use of modular arithmetic is in the 12-hour clock, in which the day is divided into two 12-hour periods. If the time is 7:00 now, then 8 hours later it will be 3:00. Simple addition would result in 7 + 8 = 15, but clocks "wrap around" every 12 hours.

Step-by-step explanation:

hope It's can help

Answer:

The answer is 8√2

Hope this helps

Answer:

b

Step-by-step explanation:

Answer:

30 guests

Step-by-step explanation:

If each guest eats 9/10 lbs of chocolate, then they eat 0.9 lbs of chocolate. We have 27 lbs of chocolate to be eaten.

To solve this, simply:

[tex]\frac{27}{.9} =30[/tex]

where 27 lbs is divided by 0.9lbs per guest to equal 30 quests.

I hope this helps!!! :)

Answer:

x - x/2 - (x/2)(3/4) - 3/4 = 0

x = 6

so, he spent 3 hours on the drums.

Answer:

yes

no

yes

no

Step-by-step explanation:

You can tell it's negation when the word "not" is used.

Answer:

the answer is b

Step-by-step explanation:

Answer:

y = 1/4x + 11/4

Step-by-step explanation:

Given the slope, m = 1/4, and the point, (1, 3):

We can substitute these values into the slope-intercept form, y = mx + b, in order to solve for the y-intercept.  

The y-coordinate (b) of the point, (0, b ) is the y-intercept of the line where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

y = mx + b

3 = 1/4(1) + b

3 = 1/4 + b

Subtract 1/4 from both sides:

3 - 1/4 = 1/4 - 1/4 + b

11/4 = b

The y-coordinate, b, of the y-intercept is 11/4.

Therefore, the slope-intercept form is: y = 1/4x + 11/4

Please mark my answers as the Brainliest if you find this explanation helpful :)

Answer: 600

Step-by-step explanation:  12 months in one year. 12x50=600 months

Answer:

600 months

Step-by-step explanation:

In 1 year there are 12 months, so we take 50 (the years) and multiply that by 12

50x12=600 and we fact check by 600÷12=50. It takes 600 months to build the house over 50 years.

Step-by-step explanation:

It's easier to graph when both equations are in its slope-intercept form, y = mx + b.

-2x -10y = 10

-2x + 2x - 10y = 2x + 10

-10y = 2x + 10

-10y/-10 = (2x + 10)/-10

y = -1/5x -1  [slope: -1/5, y-intercept (0, -1)]

-3x -15y = 15

-3x + 3x - 15y = 15

-15y = 3x + 15

-15y/-15 = (3x + 15)/-15

y = -1/5x - 1  [slope: -1/5,  y-intercept (0, -1)]

To graph this system, plot the y-intercept, (0, -1) on the graph, then use the slope, m = -1/5 (down 1 unit, run 5 units to the right). Repeat the process until you have enough points to connect and create a line.  

Because the given systems of linear equations are equivalent, their lines coincide on top of each other. This means that they have infinitely many points of intersection. Hence, they have infinite solutions.

8x + 6y = 24

6y = -8x + 24

6y/6 = (-8x + 24)/6

y = -4/3x + 4 [slope: -4/3, y-intercept (0, 4)]

4x + 3y = 9

3y = -4x + 9

3y/3 = (-4x + 9)/3

y = -4/3x + 3 [slope: -4/3, y-intercept (0, 3)]

Use the same techniques as described in the first part. Plot the y-intercepts on the graph, then use the slope of each equation to plot other points.

These lines are parallel, which implies that they will never intersect each other. Hence, there's no solution to this system.  

Attached are the screenshots of the graphed systems of linear equations.

9514 1404 393

Answer:

  28/25

Step-by-step explanation:

To make the number into a fraction, multiply and divide by 100:

  1.12 × 100/100 = 112/100

Recognize that numerator and denominator have a factor of 4 in common:

  112/100 = 28×4/(25×4) = 28/25

Answer: the box and whisker plot looks like this, the pink line starts between 8 and 10, the box starts between 10 and 12, the middle is between 14 and 16, the right side of the box is between 18 and 20, and lastly the pink line on the right ends at 22.

Step-by-step explanation: I did the test

Answer:

THEORTICAL PROBABILITY:

1A) F

1B) B

1C) A

1D) D,E,F

2A) R

2B) B

3A) odd number

3B) No, same.

3C) less than 5

================

1A) 8/30=4/15

1B) 10/30=1/3

1C) 12/30=2/5

1D) 18/30=3/5

1E) 22/30=11/15

1F) 22/30=11/15

2A) 3/8

2B) 1/8

2C)4/8=1/2

2D) 5/8

2E)3/8

3A) 50

3B) 150

3C) 250

3D) 100

3E) 100

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

120/60= 2

120/40= 3

3+2=5

9514 1404 393

Answer:

  15x +5y = 85 . . . . . equation for money spent

Step-by-step explanation:

The money spent will be the sum of products of numbers of tickets and their cost:

  15x +5y = 85

__

The number of tickets bought will be the sum of the numbers of each kind.

  x +y = 13

_____

The solution of this system of equations is (x, y) = (2, 11).

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-3*x+y-(10)=0

Pull out like factors :

-3x + y - 10 = -1 • (3x - y + 10)

Answer:

yes they are equivelant

Step-by-step explanation:

the reason they are equivelant is because they go from 3 apples to 6 apples to 9 apple, and 5 oranges to 10 oranges to 15 oranges. so this mark's it is also tymced by three

Answer:

-9 and -8 ...............

Answer:Think of the equation as an equation for a line

y=mx+b

where in this case

C= 5 /9  (F−32)

or

C= 5 /9 F - 5/9 x 32

You can see the slope of the graph is  5 /9

, which means that for an increase of 1 degree Fahrenheit, the increase is  

5 /9  of 1 degree Celsius.

C= 5 /9 (F)

C= 5/9(1)

C=5/9

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of  

9/5 degrees Fahrenheit.

C= 5/ 9 (F)

1= 5 /9 (F)

(F)= 9 /5

Since  

9/5 = 1.8, statement II is true.

The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5/9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:

C= 5 /9 (F)

C= 5 /9 x 5/9

C=25/81

(which is≠1)

An increase of  5/9

degree Fahrenheit leads to an increase of  

25/81.

, not 1 degree, Celsius, and so Statement III is not true.

The final answer is D.

Answer:

algebraic proof

The complete statement is -

"An algebraic is a proof that uses algebraic properties to reach a conclusion about an algebraic equation"

Given is the statement as -

"An _____ is a proof that uses algebraic properties to reach a conclusion about an algebraic equation"

The complete statement is -

"An algebraic is a proof that uses algebraic properties to reach a conclusion about an algebraic equation"

Therefore, the complete statement is -

"An algebraic is a proof that uses algebraic properties to reach a conclusion about an algebraic equation"

To solve more questions on algebraic expressions, visit the link below-

brainly.com/question/1041084

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Answer:

23×24 =27

answer is 7

answer is 7

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}= a^{m+n}\\\\\\\dfrac{a^{m}}{a^{n}} = a^{m-n}\\\\\\2^{3}*\dfrac{2^{5}}{2^{1}}=2^{3}*2^{5-1}\\\\=2^{3}*2^{4}\\\\=2^{3+4}\\\\=2^{7}[/tex]

Answer:

3 games played every Day

Step-by-step explanation:

So for Cowtown Bowling Center the cost of shoes is $2.50, and $4.00 per game

Then the Bowler is $3.25 for shoes and 3.75 per game

So to get the answer your gonna wanna set up the equation like

Saterday =$3.25+$3.75(x), then for

Sunday = $2.50+$4.00(x)

The X is how many games so if you plug in the same amount of game in both

Example

Saterday=$3.25+$3.75(2)=$10.75

Sunday = $2.50+$4.00(2)=$10.50

So if you do 3 then the totals will come out to be the same

Answer

Saterday=$3.25+$3.75(3)=$14.50

Sunday = $2.50+$4.00(3)=$14.50

9514 1404 393

Answer:

  2x -3y = -19

Step-by-step explanation:

Taking the differences between the given points, we have ...

  (Δx, Δy) = (4, 9) -(-2, 5) = (6, 4)

The equation of the line can be written ...

  Δy·x -Δx·y = Δy·(x1) -Δx·(y1) . . . . . for point (x1, y1) on the line

  4x -6y = 4(-2) -6(5) = -38

Dividing by 2 gives the standard form equation ...

  2x -3y = -19

_____

Additional comment

The original equation 4x-6y=-38 satisfies the requirements of this problem. However, "standard form" requires the numbers in the equation be mutually prime (in addition to the problem requirements). That is, they must have no common factors. Hence, we must remove the common factor of 2 in order to have true "standard form."

Answer:

no

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

35% of 10 is the same thing as 0.35(10)

0.35 x 10 = 3 + (0.05 x 10) = 3 + 0.5 = 3.5

-Chetan K

Answer:

-12

Step-by-step explanation: