Find the set of values ​​of a for which the point P (2a + 3; 3a-2) is in the fourth quarter of the coordinate plane (with this
Not located on the coordinate axes).

Answers

Answer 1

Answer:

  -3/2 < a < 2/3

Step-by-step explanation:

In the fourth quarter of the coordinate plane, x > 0 and y < 0. This means ...

  2a +3 > 0

  3a -2 < 0

__

The first inequality has the solution ...

  2a > -3 . . . . subtract 3

  a > -3/2 . . . . divide by 2

The second inequality has the solution ...

  3a -2 < 0

  3a < 2 . . . . add 2

  a < 2/3 . . . divide by 3

The set of values of 'a' that put P in the fourth quarter is ...

  -3/2 < a < 2/3


Related Questions

Hello could I please get a straightforward answer I need to catch up pelsse

Answers

Answer:

Step-by-step explanation:

what is the eight term of the arithmetic sequence defined by the rule A(n)=-12+2(n-1) RIGHT ANSWER ONLY

Answers

Answer:

a₈ = 2

Step-by-step explanation:

Substitute n = 8 into the nth term rule

A(8) = - 12 + 2(8 - 1) = - 12 + 2(7) = - 12 + 14 = 2

please help with this!!!!

Answers

Answer:

6311000

Step-by-step explanation:

The first thing we do is calculate the total amount of people in both states. 6.89 x10 raised to the 6th power is equal to 6890000. Then we multiply 5.79 by 10 to the fifth power, which equals to 579000. Then we subtract the numbers, and get 6311000. They want you to answer in standard notation, which is the regular way of writing numbers such as 10, instead of 10^1.

The difference in population

[tex] = (6.89 \times {10}^{6} ) - (5.79 \times {10}^{5} ) \\ = (6.89 \times 10 \times {10}^{5} ) - (5.79 \times {10}^{5} ) \\ = (68.9 \times {10}^{5} ) - (5.79 \times {10}^{5} ) \\ = (68.9 - 5.79) \times {10}^{5} \\ = 63.11 \times {10}^{5} [/tex]

Answer:

[tex]63.11 \times {10}^{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

For the school play, tickets cost $9.50 for adults and $3 for kids under 12. What would be the total cost for 8 adult tickets and 21 kids tickets? What would be the total cost for aa adult tickets and kk kids tickets?

Answers

Answer:

$1399.5aa +3kk

Step-by-step explanation:

a)

8 adult tickets cost 8($9.50) = $76

21 kids tickets cost 21($3) = $63

The total cost of these tickets is $76 +63 = $139.

__

b)

aa adult tickets cost 9.50aa

kk kids tickets cost 3.00kk

The total cost of these tickets is 9.50aa +3.00kk.

_____

Additional comment

We ordinarily expect a variable to be a single letter. This problem statement defines each variable using a double letter, so that is what we have used. (Sometimes Brainly doubles up variable content in copied text, so we suspect that may have happened here.)

Need help asap algebra 1

Answers

Answer:

Charlie is walking to the stadium. He has to wait for the traffic to stop, so he can cross the street. The light turns red and he is able to cross. He makes it to the stadium.

Step-by-step explanation:

hope this helps!!

Answer:

Charlie began walking and continued at a speed of 4 mph for 24 minutes. Then he stopped walking and took an 8-minute rest. He then walked for 16 minutes at a constant speed of 4 mph. Finally, Charlie slowed his pace down but kept walking for another 16 minutes.

What is the surface area of a cylinder if the radius is 2.5 inches and the height is 5 inches?

Answers

Answer:

A≈117.81 square inches

Step-by-step explanation:

just plug it in formula.

Answer:

117.8 inches

Step-by-step explanation:

I need help with this ASAP

Answers

Answer:

32+24=8(4+3)

20+8=4(5+2)

100+75=25(3+4)

49+28=7(7+4)

32+24=12(3+2) I don't know if this is right because 12 times 3 is 36 but that was the last option

Step-by-step explanation:

it's distributive property you multiply the numbers on the inside by the numbers on the outside.

Which graph represents (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis-pairs that make the equation y = 2xy=2xy, equals, 2, x true?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A


(Choice B)
B


(Choice C)
C

Answers

Step-by-step explanation:

The graph has a slope of 0.5 and a y-intercept of 5

The equation is given as:

A linear equation is represented as:

Where m represents the slope, and c represents the y-intercept

So, by comparison:

m = 0.5

c = 5

This means that:

The slope is 0.5, and the y-intercept is 5

Hence, the graph of  has a slope of 0.5, and a y-intercept of 5

See attachment for the graph of

A

i know its a because the other kids'answer is wrong.

Can you please help me with number 15

Answers

Answer:

142.25 miles

Step-by-step explanation:

239- 96.75

142.25

142.25 miles I think

p/18+7=9 what is the value of p

Answers

Answer:

p=36

Step-by-step explanation:

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

p/18+7-(9)=0

Simplify p/18

(p/18+7)-9=0

7= 7/1= 7*18/18

p+7*18/18=p+126/18

(p+126)/18-9=0

9=9/1=9*18/18

(p+126)-(9*18)/18=p-36/18

p-36/18=0

p-36=0

p=36

Hope this helped :)

Find an equation of the line having the given slope and containing the given point. Slope 7 through (6,3)​

Answers

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{3})~\hspace{10em} \stackrel{slope}{m}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{7}(x-\stackrel{x_1}{6}) \\\\\\ y-3=7x-42\implies y = 7x-39[/tex]

Answer:

[tex]y-3=7(x-6)[/tex]

Step-by-step explanation:

Pre-Solving

We are given that a line has a slope (m) of 7 and passes through the point (6,3).

We want to write the equation of this line.

There are three ways to do it:

Slope-intercept form, which is y=mx+b where m is the slope and b is the value of y at the y-intercept.Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and [tex](x_1,y_1)[/tex] is a point. Standard form, which is ax+by=c where a, b, and c are free integer coefficients.

As the question doesn't specify, either form should work, but let's write the equation in point-slope form as that's the easiest to do.

Solving

As we are already given both the point and the slope, we can plug them both into the equation.

Starting with the slope, substitute 7 for m.

[tex]y-y_1=7(x-x_1)[/tex]

Now, substitute 6 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex].

[tex]y-3=7(x-6)[/tex]

One number is eight more than twice another. If their difference is 25, what is the larger
number?
35
42
17

Answers

Answer:

17

Step-by-step explanation:

Let the smaller number = x

Let the larger number = y

y = 2x + 8

y - x = 25                Add x to both sides

y = x + 25               Substitute this into the first equation

x + 25 = 2x + 8       Subtract 8 from both sides

x + 25 - 8 = 2x        Combine

x + 17 = 2x               Subtract x from both sides.

17 = 2x - x                Combine

17 = x

what is the length of FD? Need help do tomorrow!!!

Answers

Answer:

Step-by-step explanation:

The tenure of an FD can vary from 7, 15 or 45 days to 1.5 years and can be as high as 10 years. These investments are safer than Post Office Schemes as they are covered by the Deposit Insurance and Credit Guarantee Corporation (DICGC).

The length of FD in a right-angled triangle with EC as 18 units and CF as 26 units is 20.2 units.

The length of FD can be found using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is FD, and the other two sides are EC and CF.

EC = 18 units

CF = 26 units

Plugging these values into the Pythagorean Theorem, we get:

[tex]FD^2[/tex] = [tex]EC^2[/tex] + [tex]CF^2[/tex]

[tex]FD^2[/tex] = [tex]18^2[/tex] + [tex]26^2[/tex]

[tex]FD^2[/tex] = 324 + 676

[tex]FD^2[/tex] = 1000

FD = [tex]\sqrt{[/tex](1000)

FD = 10 * [tex]\sqrt{[/tex](10)

FD = 20.2 units

Therefore, the length of FD is 20.2 units.

To learn more about length here:

https://brainly.com/question/32060888

#SPJ2

Correct Question:

In a right-angled triangle with EC as 18 units and CF as 26 units, what is the length of FD.

Based on the graph, what is true about polygon ABCD?

a. The polygon is a hexagon
b. The area of the polygon is 96 square units
c. The perimeter is 20 unit
d. Side AD is congruent to side DC

Answers

Answer:

B

Step-by-step explanation:

The Width of the Rectangle (read Polygon) is 8 units and the Length of the Rectangle is 12 units.

The area of the polygon is 96 square units. Therefore, the correct answer is option C.

From the given graph, we have polygon ABCD.

From the graph, we have AB=DC=12 units and BC=AD=8 units.

Here, the given polygon is rectangle.

Area of a rectangle = Length×Breadth

Now, area of a rectangle = 12×8

= 96 square units

Perimeter of a rectangle = 2(Length+Breadth)

= 2(12+8)

= 2(20)

= 40 units

Therefore, the correct answer is option C.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

#SPJ4

After sitting in a refrigerator for a while, a turkey at a temperature of 34^\circ34

F is placed on the counter and slowly warms closer to room temperature (67^\circ67

F). Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the room, as given by the formula below:
T=T_a+(T_0-T_a)e^{-kt}
T=T
a

+(T
0

−T
a

)e
−kt

T_a=T
a

= the temperature surrounding the object
T_0=T
0

= the initial temperature of the object
t=t= the time in minutes
T=T= the temperature of the object after tt minutes
k=k= decay constant

The turkey reaches the temperature of 45^\circ45

F after 15 minutes. Using this information, find the value of kk, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 60 minutes.

Enter only the final temperature into the input box.

Answers

The temperature of the body after 60 minutes is  60.5° F.

Using the Newton's law of cooling;

T(t) =[tex]Ts + (To - Ts)e^-kt[/tex]

T(t) = temperature at time t

Ts = temperature of the surrounding

To = Temperature of object

t = time taken

k = cooling constant

Now;

[tex]T(t) -Ts=(To - Ts)e^-kt\\45 - 67 = (34 - 67)e^-15k\\-22 = -33e^-15k\\-22/-33 = e^-15k\\0.667 = e^-15k\\ln(0.667) = ln( e^-15k)\\-0.405 = -15k\\k = -0.405/ -15\\k = 0.027[/tex]

At t = 60 min

[tex]T(t) = Ts + (To - Ts)e^-ktT(60) = 67 + (34 - 67)e^-( 0.027*60)\\T(60) = \\67 + (-33)e^-( 0.027 * 60)\\T(60) = \\60.5 F[/tex]

T(60) = 60.5° F

Learn more about Newton's law of cooling: https://brainly.com/question/13748261

Answer:

T≈169

Step-by-step explanation:

Enter only the final temperature into the input box.

T_a = 67\hspace{50px}T_0=210

T  

a

=67T  

0

=210

\text{Write Formula:}

Write Formula:

T=67+(210-67)e^{-kt}

T=67+(210−67)e  

−kt

 

Plug in givens

\color{blue}{T}=67+143e^{-k\color{green}{t}}

T=67+143e  

−kt

 

Simplify

\text{Plug in given time and temperature:}

Plug in given time and temperature:

\color{blue}{193}=67+143e^{-k(\color{green}{1.5})}

193=67+143e  

−k(1.5)

 

Simplify

\text{Solve for }k\text{:}

Solve for k:

193=

193=

\,\,67+143e^{-1.5k}

67+143e  

−1.5k

 

-67\phantom{=}

−67=

\,\,-67

−67

126=

126=

\,\,143e^{-1.5k}

143e  

−1.5k

 

\frac{126}{143}=

143

126

=

\,\,\frac{143e^{-1.5k}}{143}

143

143e  

−1.5k

 

 

Divide by 143

0.8811189=

0.8811189=

\,\,e^{-1.5k}

e  

−1.5k

 

\ln\left(0.8811189\right)=

ln(0.8811189)=

\,\,\ln\left(e^{-1.5k}\right)

ln(e  

−1.5k

)

Take ln of both sides

\ln\left(0.8811189\right)=

ln(0.8811189)=

\,\,-1.5k

−1.5k

\frac{\ln\left(0.8811189\right)}{-1.5}=

−1.5

ln(0.8811189)

=

\,\,\frac{-1.5k}{-1.5}

−1.5

−1.5k

 

Divide by -1.5

0.0843751=

0.0843751=

\,\,k

k

k\approx

k≈

\,\,\color{blue}{0.084}

0.084

Round k to nearest thousandth

\text{Complete Formula:}

Complete Formula:

T=67+143e^{-\color{blue}{0.084}t}

T=67+143e  

−0.084t

 

Plug in k

\text{Find temperature after }\color{green}{4}\text{ minutes:}

Find temperature after 4 minutes:

T=67+143e^{-0.084(\color{green}{4})}

T=67+143e  

−0.084(4)

 

Plug in time

T=67+143e^{-0.336}

T=67+143e  

−0.336

 

Multiply

T=169.1911041

T=169.1911041

Plug into the calculator

T\approx 169

T≈169

What is 180 in./sec in m/min?

Answers

274.32 is the answer. Tell me if I need to be more precise.

Measure the paper clip to the nearest 1/8 inch.

A. 1 2/8 inches

B. 1 1/2 inches

C. 1 4/8 inches

D. 1 3/8 inches

Answers

Answer:

1 3/8   D

Step-by-step explanation:

The first and most obvious part of the answer is that the paper clip is at least 1 inch long. The question is how much longer?

It is between 1/4 of an inch and 1/2 of an inch. In fact it is exactly half way between them.

So that resembles an average.

(1/4 + 1/2)/2 = (1/4 + 2/4) / 2 = (3/4)/2

[tex]\frac{\frac{3}{4} }{2} = \frac{\frac{3}{4} }{\frac{2}{1} }[/tex]

Now the trick is to invert the denominator (make it 1/2) and multiply

3/4 * 1/2 = 3/8

What is 2-b/3=-5/2

Please explain thoroughly and only explain the 2-step version

Answers

b=11

Multiply both sides of the equation
by 3
6 - b = -5

Move the constant to the right-hand side and change its sign
-b= -5 - 6
Calculate the difference
-b=-11
Change the signs
b=11

Answer:

b = 13.5

Step-by-step explanation:

2 -b/3 = -5/2

im assuming we want to find b. therefore we want b = something. so because b is on top of a fraction right now, I will multiply both sides by 3 so -b is not on top of a fraction anymore.

6 -b = -15/2

we should get rid of the divided by 2 on the other side too, to make it easier. we can do this by multiplying 2 on both sides.

12 - 2b = -15

remember, we want to isolate b. so first we should get rid of the 12 next to the 2b. we can do this by subtracting 12 on both sides!

-2b = -27  

finally, we can divide both sides by -2 and b will be isolated!

b = 13.5

ask me if you have anymore questions!

lost on this a little

Answers

Answer:

the answer would be 7/5

Step-by-step explanation:

2 of them would already make a whole, and if you add another one, it's going to be more than just one pitcher of lemonade.

Marsha is driving 630 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?

Answers

Answer:

Marsha has driven 252 miles

Step-by-step explanation:

In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.

Hope this helps!

Answer: 252 miles

Step-by-step explanation:

What is an equation of the line that passes through the points (-4, -5) and (-3, -2)

Answers

Answer: The equation of the line is y = 3/2 x + 1

Step-by-step explanation:

Slope 3/2; The Equation of the line passing through (-4, -5) having a slope of 3/2 is y + 5 = 3/2 (x + 4) or y = 3/2 times X + 6 - 5 or y = 3/2 times X + 1[Ans] graph {3/2*x+1[-10, 10, -5, 5]}

I hope this makes sense to you :)

Solve the following exponential equation:

5^x=2

e^x=10​

Answers

Number 1.

[tex]5^x=2[/tex], first we will take the [tex]log[/tex] of both of these numbers getting us,

[tex]x=\frac{log(2)}{log(5)}[/tex], which then gives us that [tex]x=0.4306777777....[/tex]

Number 2

[tex]e^x=10[/tex], solve for our exponent, [tex]2.718282^x=10[/tex], use the logarithmic formula, and we get,

[tex]x=\frac{log(10)}{log(2.718282)}[/tex], which then we get that [tex]x=2.302585[/tex]

is the following relation a function {(-6,-3),(-6,-1),(-6,5),(-6,8)

Answers

Answer:

Step-by-step explanation:

This relation (this group of points) is NOT a function. In order to be a function, every x-value (the first number in the pair) can only be paired up with one y-value (only one partner for the x)

In this relation, -6 is paired up with four different y-values (four different partners!)

If you plotted these points on a graph, you would see they are all lined up in a vertical line. If you have learned about the vertical line test, you will see that a vertical line goes through all four points. This set of points fails the vertical line test. To be a function, a vertical line can only touch the points one at a time.

To be a function, every x can only have one y partner.

PLEASE HELP!!!
List 5 fractions that are equal to 3/4!

Answers

6/8, 9/12, 12/16, 15/20, and 18/24

Answer:

9/12

6/8

30/40

27/36

15/20

Step-by-step explanation:

2x +6y = 2
х= 8 - Зу
What is X and Y?

Answers

Answer:

no solutions exist

Step-by-step explanation:

We can solve this by using system of equations and using substitution.

2(8-3y)+6y=2      Substitute x=8-3y into the first equation.

16-6y+6y=2         Distribute.

16=2                     Simplify.

16 does not equal 2, so there are no solutions.

Help help bell help be math ASAP

Answers

Answer:

2x + 2 = 28

2x = 26

x = 13

Step-by-step explanation:


1) Use the distributive property to write an expression that is equivalent to 8(a + 4).
8(a + 4) = _a + _

Answers

8a + 32
Distribute the 8 to each term in the parentheses.

What is f(3) for the function f(x) = 5x + 7?

Answers

The answer would be 8

The following stock prices reflect the closing price for the past five days. Find the 3 day SMA
(Simple Moving Average) for days 2-4.
$44.25, $44, $41.75, $40, $39.75

Answers

Answer:

solution

Step-by-step explanation: total=209.75

CAN YOU GUYS HELP PLEASE, I HAVE A LIMIT ON THIS!!!!

Answers

Answer:

the 2nd choice

Step-by-step explanation:

hope this helps

may i get braineist pls

Answer:

A. or y=-1/3x-3

Step-by-step explanation:

Other Questions
All sugars are considered:a carba fatjust sugarsa lipid America history What do you think are the differences between the phrase "given us" and "entrusted to us"? Can anyone explain capillary action in the circulatory system in simple terms? Persuasive Essay Why should you be allowed to watch a christmas movie before the break? help me on this question. would be nice if you could also graph it as well Vocabulary in Context: Big Henryk was holding Kuba upside down by his ankles while Ferdi walloped Kubas rump with a big bone, one of many that were lying around. Based on the context clues, what does wallop most likely mean? A.Tickle B.Strike C.Slice D.ScrapeNEED HELP RIGHT NOWWW!!! a) Complete the table of values for y = 6 - 2x012345OT10-4y86cob) Draw the graph of y = 6 - 2xon the grid.42.c) Solve 6 - 2x = 3 F r e e points for people that is low on points :) 100 POINTS!!!!! give me 3 exciting things about cyber security and three things scary about cyber security in which layer of the sun does light form ? (20 POINTS) Why should citations be included in a paper or report? to make the location of original work obvious to ensure that a paper is accurate to give others credit for their work to show that research was done correctly What was the Eisenhower doctrine? What is the solution to the system of equations?{2x + 3y = 6x+y=1 Countries facing the economic conditions of the depression were more likely to see the rise of dictatorships.O TrueO False The Levine family has 10 gallons of gas in the car. The car uses 1 5/8 of a gallon each hour. How long can they drive on 10 gallons of gas? This food web illustrates some characteristics that ANIMALS have in common. Find all the animals. What do they allhave in common?A)They are all predators.B)They must consume their food.C)They all have a skeletal systemD)They all recycle matter in the food web. Is the sentence Equivalent or non equivalent 12:24,50:100 Is the phrase They were born and reared an objective pronou A. identify B. existence C. scientist D. appearance 30 POINTS!!! If a forest burns down, which stage of the water cycle is interrupted in that ecosystem, and why?a. Transpirationb. Precipitationc. Infiltrationd. Evaporation