Which quadrant are the following points located:




(3, –2)




A.
4

B.
2

C.
3

D.
1

Picture of the right answers

Hence, the quotient of the rational expression given below is x-3.

How to solve?

To solve the division we will use basic properties of rational numbers here.

The first step is to factor numerator/denominator if possible.

To divide the expressions follow the following steps

1.leave the first fraction as it is

2. Convert division to multiplication

3.Turn the second fraction upside down

([tex]x^{2}[/tex]+5x+6)/x-6 / ([tex]x^{2}[/tex]-9)/2x-12

=([tex]x^{2}[/tex]+5x+6)(2(x-6))/([tex]x^{2}[/tex]-9)(x-6)

=2([tex]x^{2}[/tex]+5x+6)/[tex]x^{2}[/tex]-9

By splitting the quadratic equation into factors we get,

[tex]x^{2}[/tex]+5x+6=(x+2)(x+3)

and using the formula [tex]a^{2}[/tex]-[tex]b^{2}[/tex]=(a-b)(a+b) we get [tex]x^{2}[/tex]-9=(x-3)(x+3)

=2(x+3)(x+2)/(x+3)(x-3)

=2(x+2)/(x-3)

hence, the quotient of the given ration expression is x-3.

Learn more about solving rational expressions

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Answer and Step-by-step explanation:

So, we are told that 3 positive integers multiply to be 300, and that one of the integers is 5.

First, we divide 300 by 5.

The result is 60.

Now, we take different (reasonable) numbers that add to 16:

10 and 6

12 and 4

We can see here that 10 and 6 are the integers because they add up to 16 and multiplies to 60.

#teamtrees #WAP (Water And Plant)

4L-30=70

Step-by-step explanation

perimeter of a rectangle =2(L+W)

assuming length =L

with =L-15

p= 2(L+L-15)

p= 4L-30

p=70

therefore equation of the perimeter =

4L-30=70

Answer:

Distributive

Step-by-step explanation:

Distributive Property

Answer180 yards long

180

Step-by-step explanation:

Answer:

2.861

Step-by-step explanation:

Answer:

33

helpStep-by-step explanation:

Step-by-step explanation:

The given function is :

[tex]y=\dfrac{-1}{8}(x-1)^2-4[/tex] ...(1)

It is an equation of parabola. The vertex form for equation of parabola is given by :

[tex]y=a(x-h)^2+k[/tex] ...(2)

Here,

Vertex = (h,k), axis = h and rate = a

From equation (1) and (2) :

a = -1/8, h = 1 and k = -4

The atached graph shows the graph for the given equation.

Step-by-step explanation:

y+7=3x

6x-2y=12

y=3x-7

6x-2(3x-7)=12

6x-6x-14=12

-14=12

There is no solution.

The question was rewritten because it has an obvious mistype.

Answer:

The coordinates of B' are (-3,-15)

Step-by-step explanation:

We are given the point A(-3,-1) and we know it was dilated to the point A'(-9,-3) by some scale factor.

The scale factor can be found by dividing each coordinate of A' by the same coordinate of A. Let's call the factor as k:

k = -9/(-3) = 3

k = -3/(-1) = 3

Thus the scale factor is 3.

If we apply the same factor to B(-1,-5), we get the coordinates of B' as:

B'( 3*(-1) , 3*(-5) ) = B'(-3,-15)

The coordinates of B' are (-3,-15)

Answer:

360

Step-by-step explanation:

Six letters in twelve with a repeated e would be 6! ÷ 2

Answer:

The answer is letter D.

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

$65×6%=$3.90

$3.90+$65=$68.90

m I right

Answer:

Hey,

Let A be (-1,7)

Let B be (5,1)

In order to find the distance we need to do

[tex]d = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]

Once we plug x2=5 and x1=-1

and y2=1 and y1= 7

You get

[tex]6 \sqrt{2} [/tex]

Now to find the midpoint:

[tex]( \frac{x1 + x2}{2} \frac{y1 + y2}{2} )[/tex]

Using the same values defined above we get:

(2,4)

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Answer:

B 12x + 9.5y ≤ 220 AND x + y ≤ 20

Step-by-step explanation:

Answer:

A.12x + 9.5y ≤ 220 AND x + y ≥ 20

Step-by-step explanation:

≤ 220 symbolizes that he can earn 220 or more than 220.

≥ 20 symbolizes that he can work 20 hours or less.

Answer:

40%

Step-by-step explanation:

First, find how many of the first 200 were in color:

200(0.2)

= 40

Then, find how many of the next 300 were in color:

300(0.4)

= 120

Find how many of the last 100 were in color:

100(0.8)

= 80

Then, add these all together to find how many were in color:

40 + 120 + 80

= 240

Then, divide 240 by 600 to find the percent that were in color:

240/600

= 0.4

So, 40% of the 600 advertisements were in color

Answer:

Let's simplify step-by-step.

−3x+7−(4x−8)

Distribute the Negative Sign:

=−3x+7+−1(4x−8)

=−3x+7+−1(4x)+(−1)(−8)

=−3x+7+−4x+8

Combine Like Terms:

=−3x+7+−4x+8

=(−3x+−4x)+(7+8)

=−7x+15

Answer:

=−7x+15

Step-by-step explanation:

Answer:

15+7x

Step-by-step explanation:

(−3x+7)−(4x−8)

To find the opposite of 4x−8, find the opposite of each term.

−3x+7−4x−(−8)

The opposite of −8 is 8.

−3x+7−4x+8

Combine −3x and −4x to get −7x.

−7x+7+8

Add 7 and 8 to get 15.

−7x+15

Answer: 500

Step-by-step explanation: use the equation y=mx+b.

B = cost of the plan per month

X = number of minutes

M = price per minute

The first plan is a flat rate of $25 a month. Whereas the second is $10 plus $0.05 a minute.

Plug in the answers until you get a price that is equal to $25.

Y = 0.05(300) + 10

Y = 25

therefore after 300 minutes the other plan is cheaper

Merry Late Christmas and Happy early New Years !!! Hope you stay safe and healthy during these times :))

Answer: 8.4375 U.S. dollars2

Step-by-step explanation:

Answer:

$8.44

Step-by-step explanation:

From the question it self we know that 1 pound of chicken costs $3.75. In order to solve this question we just need to find out how much 1 pound does fit into 2.25 pounds and then multiple the result by $3.75. We can find that out by dividing 2.25 by 1, and we get 2.25. Then we do the following....

2.25 x $3.75 = $8.4375

We got $8.4375 as an answer but we have to remember that when we are talking about money and we have to round to the nearest cent (which is equal to 1 hundredth of a dollar). So now we just have to round to the nearest hundredth, and we get $8.44 as our answer.

Answer:

Y(n)=15n+40

Step-by-step explanation:

Lets represent the number of bean stalks she plant by n and

the yield by Y.

It says in the question that when she plants 2 stalks, each plant yields 70 ounces of beans. When she plants 8 stalks, each plant yields 160 ounces of beans.

Which means 2 stalks correspond to 70 ounces and 8 stalks corresponds to 160 ounces we could write the data Mathematically like:

(2 , 70) and (8 , 160) are our coordinates where the x-axis would be n the number of beans stalks planted  and y-axis would be Y the yield in ounces.

So we have two coordinates and to find the linear relationship we must find out the slope/gradient(m) of the linear function by the formula of slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{160-70}{8-2} \\\\m=\frac{90}{6} \\\\m=15[/tex]

so we plug in one of the coordinates and our slope in the point-slope formula :

[tex]y-y_1=m(x-x_1)[/tex]

where,

[tex](x_1,y_1)\ represent\ the\ coordinate\ (2,70)[/tex]

so plugging in the coordinate and the value of m we get:

[tex]y-y_1=m(x-x_1)\\y-70=15(x-2)\\y-70=15x-30\\y=15x-30+70\\y=15x+40\\[/tex]

so our the answer is the last option

Y(n)=15n+40

here x corresponds to n and y corresponds to Y(n)

Answer:

Confucius ( a Chinese philosopher)

Step-by-step explanation:

Answer:

Confucius wrote the quote

Step-by-step explanation:

Honestly I think he wrote it to get across a point that is- without the common  human respect for other people,we're all nothing but "animals", and people must be courteous to one another to get anything done no matter the situation.

Answer:

c) 75

Step-by-step explanation:

180-155 = 25

80+25+x=180

x = 75

Step-by-step explanation:

By Exterior Angle Theorem,

x = 155° - 80° = 75° (C).

Answer:

the third one

Step-by-step explanation:

the absolute value of -6 is 6