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3 years ago

Point M is the midpoint of point A and point B. Find the coordinates of point B .

Mathematics

1 answer:

kkurt [141]3 years ago

8 0

Answer:

coordinate of point b is 12,1 by midpoint formula

Step-by-step explanation:

take mp formula and evaluate by putting value it will give you x again same process then it will give you u

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Simplify the following expression.<br> log(x^4) -log(x^3)

Paraphin [41]

The answer would be log(x)

3 0

3 years ago

Jalen is buying a new car. Model: compact, luxury, sport Transmisión: automatic, manual Color: red, blue, black, yellow Jalen de

Gwar [14]

<h3>Jalen can decide a yellow car in 6 possible ways.</h3>

Step-by-step explanation:

The total number of options in Model = 3

{Compact, Luxury, Sport}

The total number of options in Transmission = 2

{Automatic, Manual }

The total number of options in color = 4

{Red, Blue, Black, Yellow }

The color he has decided is <u>YELLOW.</u>

<u></u>

So, the total number of options in model is 3 and transmission is 2.

⇒ The number of ways that can be decided = 3 x 2 = 6 ways

So Jalen can decide a yellow car in 6 possible ways.

3 0

3 years ago

EZ Car Rental charges $40 per day and $0.25 per mile driven. Ace Car Rental charges

Tema [17]

Answer:

B. 75

Step-by-step explanation:

When both cars travel 75 miles they both add up to $58.75

3 0

3 years ago

Rewrite the expression with the given base.<br><br> 125^2x with a base of 5

jasenka [17]

Okay so you have to start by working out how many times you multiply 5 by itself to get 125.

5x5x5=125

therefore: (5^3)^2x) is the answer:)

6 0

3 years ago

Read 2 more answers

the school newspaper has a circulation of 500 and sells for $.035 a copy. the students decide to raise the price to increase the

Alik [6]

Let x be the number of times they raise the price on the newspaper. Then the new cost of the newspaper is

$.35+.05x$

Let y be the newspaper they sell, then the income will be

$y(.35+.05x)$

Now, we know that the circulation is of 500, assuming that they sold every newspaper at the original price now the number the will sell will be

$y=500-20x$

Plugging the value of y in the first expression we have that the income will be

$\begin{gathered} f(x)=(500-20x)(.35+\text{0}.5x)=175+25x-7x-x^2 \\ =-x^2+18x+175 \end{gathered}$

Then the income is given by the function

$f(x)=-x^2+18x+175$

To find the maximum value of this functions (thus the maximum income) we need to take the derivative of the function,

$\begin{gathered} \frac{df}{dx}=\frac{d}{dx}(-x^2+18x+175) \\ =-2x+18 \end{gathered}$

no we equate the derivative to zero and solve for x.

$\begin{gathered} \frac{df}{dx}=0 \\ -2x+18=0 \\ -2x=-18 \\ x=\frac{-18}{-2} \\ x=9 \end{gathered}$

This means that we have an extreme value of the function when x=9. Now we need to find out if this value is a maximum or a minimum. To do this we need to take the second derivative of the function, then

$\begin{gathered} \frac{d^2f}{dx^2}=\frac{d}{dx}(\frac{df}{dx}) \\ =\frac{d}{dx}(-2x+18) \\ =-2 \end{gathered}$

Since the second derivative is negative in the point x=9, we conclude that this value is a maximum of the function.

With this we conclude that the number of times that they should raise the price to maximize the income is 9. This means that they will raise the price of the newspaper (9)($0.05)=$0.45.

Therefore the price to maximize the income is $0.35+$0.45=$0.80.

4 0

1 year ago