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

Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three eighths the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?

Answers

Answer:

Option (C) is correct, the dimensions of the brand name television = 32 inches by 64 inches.

Step-by-step explanation:

Given :  The generic version was based on the brand name and was three eighths the size of the brand name and both are similar.

The dimensions of the generic television set = 12 inches by 24 inches

Let the dimensions of brand name be x by y such that

three eighth of x=12 inches

and three eighth of y=24 inches

Therefore, the dimensions of the brand name television = 32 inches by 64 inches.

Hence option (C) is correct.

After a party there is 3/4 of a pizza left. You split it evenly between you and 3 friends. What fraction of a pizza does everyone get?

Answers

Answer:

3/16

Step-by-step explanation:

3/4÷4=3/16

Since there are 4 people, not 3, divide the remaining pizza by 4.

Find the Product of 7/9of27

Answers

189 /9

7 x 27               189

              =    -------------------

9 x 1                     9


If you put $1,000 in a savings account that yields an 7% annual rate of interest that is compounded weekly,
a
how much would that be worth in 25 weeks (round to the nearest dollar)?
(Select the best choice below.)
O A. $1,040
O B. $1,034
O C. $1,043
OD. $1,025

Please show work! Thank you

Answers

Answer:

Answer B- 1034

7% annual rate is 70. divide by 52 (total amount of weeks in a year) =1.35. 1.35 × 25=33.75 rounded up 34. 1000+34=1034

What is ten times as great as 450?

Answers

Answer: The answer is 4,500.

Explanation: 450 x 10 = 4,500.

Ten times as great as 450 is 4500.

We need to find what is ten times as great as 450.

What is multiplication?

When we multiply two numbers, the answer is called product. The number of objects in each group is called multiplicand, and the number of such equal groups is called the multiplier.

Multiplication step:

Multiply the multiplicand by each of the numbers of the multiplier, moving from right to left. The units of the product are written below the line.The tens place of each product is added to the next product.

Now, ten times as great as 450=10×450=4500

Therefore, ten times as great as 450 is 4500.

To learn more about multiplication visit:

https://brainly.com/question/5992872.

#SPJ2

Solve for B.
15B +9C =6

Answers

Answer:b=5

Step-by-step explanation:

The value of B for the given expression is B = (2 - 3C) / 5.

What is an expression?

An expression in mathematics is a grouping of one or more numbers, variables, and arithmetic operations (such as addition, subtraction, multiplication, division, and exponentiation) that illustrates a relationship or calculation.

Parentheses, braces, and other grouping symbols that specify the sequence in which operations should be carried out are also permitted in expressions.

To solve for B, we need to isolate B on one side of the equation.

15B + 9C = 6

Subtract 9C from both sides:

15B = 6 - 9C

Divide both sides by 15:

B = (6 - 9C) / 15

Simplifying the right side gives:

B = (2 - 3C) / 5

Therefore, B = (2 - 3C) / 5.

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ2

pls help it is 7th grade math

Answers

[tex]39+\dfrac 15 w \\\\=39+\dfrac 15 \left(-\dfrac 12 \right)\\\\\\=39 - \dfrac 1{10}\\\\\\=\dfrac{389}{10}\\\\\\=38\dfrac{9}{10}[/tex]

Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.

Answers

Answer:

x-intercept: 4

y-intercept: -4

Step-by-step explanation:

Hope this helps. Plz give brainliest! Also, plz sub to kgirl633 on yt!

In a basketball game, Archie made 3/5 of his shots. Which numbered choice has a value that is the same as the ratio Archie made in his game?

Answers

Answer:

0.6

Step-by-step explanation:

3/5=0.6

Evaluate the expression when x = 8 and y = 1.

x2y

Answers

Answer:

1/8

Step-by-step explanation:

I took the test this is it

Name a number that has the same absolute value as 23

Answers

Answer: A number with the same absolute value of 23 is -23.

Explanation: The absolute value of a number is how far it is from zero, and the absolute value of a number is always positive, unless the number is 0, in which case the absolute value is neutral, and the absolute value is 0.

Examples: 6 is 6 away from zero, so the absolute value of 6 is 6.

−6 is 6 away from zero, so the absolute value of −6 is 6.

The number that has the same absolute as 23 is -23.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

An absolute number x is denoted by |x|

If x = -x,

|-x| = x

Now,

|23| = 23

|-23| = 23

So,

-23 has the same absolute value as 23.

Thus,

-23 is the number.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Choose the symbol that correctly compares these mixed numbers.

Answers

Answer : =

Step - by - step explanation :

6 3/6 -- simplest form --> 6 1/2

6 6/12 -- simplest form --> 6 1/2

=
6 3/6 is equal to 6 6/12.

graph y + 2 = -3/4 (x+4)

Answers

Answer:

Use a website called desmos and type in y=-3/4(x+4)-2

Step-by-step explanation:

1) isolate y by subtracting 2 on both sides

y=-3/4(x+4)-2

Answer:

Clue: two points : (0,-5)   ( 4 , -8)

Step-by-step explanation:

Look at the graph.

Zachary is going out with his friends to see

a movie and shop. He has $32 and the

movie will cost $7.25. Write and solve an

inequality to find how much money

Zachary can spend shopping.

Answers

Answer:

7.25 + S ≤ 32

Step-by-step explanation:

Our initial value is 7.25, and that is to watch the movie. Next, the absolute max he can spend is 32, or he would have negative money, which he cannot have. Therefore, we use the ≤ sign and point it as 32, to show that it must be less than or equal to our total of 32. Then, we can represent the money they spend on shopping with s

The next two systems do NOT have opposite like terms ​

Answers

Answer:

x = 10

y = 6

Step-by-step explanation:

Multiply second equation with -1 and then add it up with first equation

(-1)*(6x - 7y) = 18

-6x + 7y = -18

6x - 6y - 6x + 7y = 24 - 18 add like terms

y = 6 to find the value of x use this information

6x - 6y = 24 replace y with 6

6x - 6*6 = 24

6x - 36 = 24 add 36 to both sides

6x = 60 divide both sides by 6

x = 10

Pratima attends dance classes every 6 days, singing
classes every 4 days, and yoga classes every 16 days. If
.
she does all three activities today, in how many days will
she do all the three activities again on the same day?


PLEASE SHOW YOUR WORK

Answers

Using the least common factor, it is found that she will do all the three activities again on the same day again in 48 days.

She sings every 4 days.She attends dance classes every 6 days.She has yoga classes every 16 days.

To find how many days it takes so that she will do all the three activities again on the same days, we have to find the least common factor of 4, 6 and 16.

It is done factoring them using prime factors, then:

4 - 6 - 16|2

2 - 3 - 8|2

1 - 3 - 4|2

1 - 3 - 2|2

1 - 3 - 1|3

1 - 1 - 1

Hence:

lcm(4,6,8) = 2x2x2x2x3 = 48

She will do all the three activities again on the same day again in 48 days.

To learn more about the least common factor, you can take a look at https://brainly.com/question/25924269

2x-3y=7 and y=3x-7 how do you solve this using subsitution

Answers

[tex]2x-3y = 7~~~....(i)\\\\y = 3x -7~~~....(ii)\\\\\\\text{Substitute}~ y = 3x -7~ \text{in equation (i):}\\\\\\2x-3(3x-7) = 7\\\\\implies 2x -9x + 21 =7\\\\\implies -7x = 7 -21\\\\\implies -7x = -14\\\\\implies x = \dfrac{-14}{-7} = 2\\\\\\\text{Substitute x = 2 in equation (ii):}\\\\y=3(2) -7 = 6 -7 = -1\\\\\\\text{Hence (x,y) =(2,-1)}[/tex]

A standard die is rolled find the probability that the number rolled is less than six express your answer as a fraction in the lowest terms or decimal number round three Decimal places if necessary

Answers

There are 6 numbers on a standard die and. 5 of the numbers are less than 6.

The probability would be 5/6

Has a slope of -2/5 and goes through (-10,-1)​

Answers

Answer:

Below in bold.

Step-by-step explanation:

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

y - (-1)) = -2/5(x - -10)

y + 1 = -2/5(x + 10)

y  + 1 = -2/5x - 4

y = -2/5x - 5.

In standard form this is:

2x + 5y = -25.

Find the equation of a line that passes through the points (1,-2) and (3,-4). Express your final answer in slope-intercept form.

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (1,-2)~~ \text{and}~~ (x_2,y_2) = (3,-4)\\\\\text{Slope,}~ m= \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-4+2}{3-1} = -\dfrac 22 = -1\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +2 = -1(x-1)\\\\\implies y = -x+1 -2\\\\\implies y = -x-1\\\\\text{This is the slope-intercept form(y =mx+b).}[/tex]

Answer:

y=-x-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-(-2))/(3-1)

m=(-4+2)/2

m=-2/2

m=-1

y-y1=m(x-x1)

y-(-2)=-1(x-1)

y+2=-x+1

y=-x+1-2

y=-x-1

The sum of 8 and a number is 9

Answers

Answer:

The sum of 8 and 1 is 9.

lol

Step-by-step explanation:

Given the set of numbers, 2, 3, 4, 8, 10 with mean = 6 The Second moment about the mean for this set is?​

Answers

Answer:

Given,

2,3,4,8,10

ex=2+3+4+8+10+x

=27+x

mean=6

no of data=5

now,

mean = ex/n

or,6=27+x/5

or,5×6=27+x

or,30=27+x

or,30-27=x

3=x

What is the answer ??

Answers

Answer:

first of all take LCM OF THE denominator and solve it as shown

A certain music club charges an annual membership fee of $99, in return, its members will be able to buy and download songs at a very low cost of 10 cents each. If Tyna spent a total of $149.30 including the membership fee, how many songs did she buy?

A) 99+10x=149.30
B) 99-10x=149.30
C) 99-0.1x=149.30
D) 0.1x+99=149.30

Answers

Answer:

D). 0.1x+99=149.30

How many songs Tyna Bought:

503 songs

Step-by-step explanation:

Since the membership fee is 99 you don't have to pay for it again

(Until next year that is)

Now it states that every download cost 10 cents or $0.1

So we don't know how many she will buy so we can replace that unknown value with x

So the equation is

0.1x+99=149.30

To solve this you first subtract 99 on both sides:

Which will result in

0.1x=50.3

Divide 0.1 on both sides

So Tyna bought 503 songs

(HOLY THAT IS A LOT OF SONGS)

Hope this Helps!

evaluate f(2) and lim f(x) where f(x)=5x^3+3x+1 ​

Answers

substitute 2 into the equation
f(2) = 5(2)^3 + 3(2) + 1 = 13 + 6 + 1
= 20

The population of a slowly growing bacterial colony after t hours is given by
p(t) = 4t² + 27t + 150. Find the growth rate after 2 hours.
bacteria/hour
Submit Question

Answers

A function is an expression that defines a relationship between an independent variable and a dependent variable.

The number of bacteria colonies after 2 hours is 220.

What is a function?

It is an expression that defines a relationship between an independent variable and a dependent variable.

We have,

P(t) = 4t² + 27t + 150

Where t = time

P(t) = population of a slowly growing bacteria colony after a particular time

The growth rate after 2 hours:

P(2) = 4 x (2)² + 27 x 2 + 150

P (2) = 16 + 54 + 150

P (2) = 220

Thus the number of bacteria colonies after 2 hours is 220.

Learn more about functions here:

https://brainly.com/question/17440903

#SPJ5

HELP ASAP!!! 100 POINTSS alan collects data about the students in his class. he records their hair color and whether they have have freckles. his results are shown in the table below.

find each probability
a. P(freckles)
b. P(blonde hair or red hair)
c. P(freckles and brown hair)
d. P(no freckles | red hair)

Answers

Answer:

A. 52%

B. 36%

C. 16%

D. 4%

Step-by-step explanation:

13/25 people have freckles.

9/25 people have Blonde or red hair.

4/25 people have freckles and brown hair.

1/25 people have freckles and red hair.

Divide the fractions to get the percentages.

The probabilities are A. 52%, B. 56%, C. 16% and D. 4%

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Alan collects data about the students in his class. he records their hair colour and whether they have freckles,

P(E) = (Number of favourable outcomes) ÷ (Sample space).

There are total 25 students in data,

A) Students having freckles = 13

P(freckles) = 13/25% = 52%

B) Students having blonde or red hair = 14

P(blonde hair or red hair) = 14/25% = 56%

C) Students having freckles and brown hair = 4

P(freckles and brown hair) = 4/25% = 16%

D) Students with no freckles and red hair = 1

P(no freckles and red hair) = 4/25% = 4%

Hence, a. P(freckles) = 52%

b. P(blonde hair or red hair) = 56%

c. P(freckles and brown hair) = 16%

d. P(no freckles | red hair) = 4%

For more references on probability, click;

https://brainly.com/question/11234923

#SPJ2

A father is 33 years old. Which is 3 less than 12 times his son's age. How old is the son?

Answers

Answer:

His son is 3 years old.

Step-by-step explanation:

33 years old ... 3 less than ....  =  36

36/12  =  3

Which quantity is proportional to 40/8?

Answers

Answer:

5/1

10/2

15/3

20/4

25/5

30/6

35/7

Step-by-step explanation:

Find the projection of u onto v.
- Is the answer on the bottom correct?

Answers

V x U -5 and -1 and subtract 0
Other Questions
What is an example of a solute found in plasma?waterglobulinsplatelets uvulas When the first internal tax was imposed, it sparked the Whiskey Rebellion. true or false Mixing baking soda and vinegar is an example of an endothermic reaction. This means... A. baking soda and vinegar are products in this reaction.B. energy is taken in during the chemical reaction.C. energy is released during the chemical reaction.D. there is no change in energy during the chemical reaction. Pls help me guys .................. Sophia has asked her mom to pick her up at soccer practice. However, her mom doesnt show up until half an hour after practice is over. Sophia is angry. Write a dialogue between Sophia and her mother showing how she expresses her anger in a healthy way. metaphor for brown eyes 4e-4=e-4help me plsssssssssssssssssssssss Which of the following cognitive skills have not been displayed by animals? A. Using tools B. Forming concepts C. Transmitting culture D. Using syntax. b and c is wrong pls help What sound customization option would you use in Scratch to simulate a sound happening in a large, empty room (like a theater)?louderreverseechoslower What is the quotient of 5634? Write a paragraph (120-140 words) about the reasons of conflicts between teenagers and their parents what is an accessory organ of the plant used in sexual reproduction What is 246,588 rounded to the ten thousands place? what difference would it make to the economy if there were no money? What commodities might serve as money instead? Provide reason for your answers. What impact does the mining process have on the environment of Canada?A Blasting and digging provides nutrients for the land around the mines.B The mining process releases harmful chemicals into the air producing acid rain.C Left over rock is removed from the Canadian Shield and dumped in the St. Lawrence River.D The mining process helps to stimulate nature in the development of renewable resources. Nguyen played a game in which he could either lose or gain points each round. at the end of 7 rounds, he had -8 points. After one more round,he had 7 points. Express the change in points in the most recent round as an integer the lungs air sacs are destroyed, making breathing extremely difficult, in the condition called? Please answer fast, and this is for brainy I need this ASAP. Question: Why is the pollution of the Great Lakes a problem for Canadians? what do u mean by diagnosis ?