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3 years ago

10

N+4-9-5n combine like terms

2 answers:

vovikov84 [41]3 years ago

8 0

Answer:

-4n -5

Step-by-step explanation:

n+4-9-5n

Combine like terms

n-5n +4-9

-4n -5

Butoxors [25]3 years ago

4 0

Answer:

-4n-5

Step-by-step explanation:

n-5n=-4n

4-9=-5

-4n-5

hope this helps

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Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

4 years ago

The manager of a store records the mode of payment of the 90 customers who visited his store today in the table below.

Rainbow [258]

Answer:

Number 4 is correct.

Step-by-step explanation:

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3 years ago

Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450,

matrenka [14]

3 times a year for 2 years is equal to 3 x 2, or 6. So we know that she will have to pay her bill 6 times.

The cost for each trimester is $1450, but we still have to add the book costs ($350). So, 1450 + 350 = 1800.

Now we know that she has to pay $1800 six times. So the equation will be:

1800 x 6 = 10800.

It will cost Samantha $10,800 to get her degree.

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A) prove that MQX is congruent to MRY

Viktor [21]

Answer:

Side MQ is similar to side MR.

- This is because since M is the mid point of QR, both MQ and MR are half of QR.

Angle MXQ and MYR are 90°

Sides QX and RY are similar.

- This is because angle X and Y are 90° and MQ and MR are equal.

∴ MQX is congruent to MRY.

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3 years ago

HELP PLEZZZZ IT WOULD REALLY MEAN ALOT

Butoxors [25]

Answer:

The answer is D.

Step-by-step explanation:

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