Which region represents the solution to the given system of inequalities?

{y < -1/2x }
[y ≥ 2x+3 }

A
B
C
D

Which Region Represents The Solution To The Given System Of Inequalities?{y &lt; -1/2x }[y 2x+3 }ABCD

Answers

Answer 1

The region D represents the solution of the given system of inequalities.

What is the system of linear inequalities?

A system of linear inequalities is a collection of linear inequalities in the same variables.

How to shade the graph of inequalities?Rearrange the equations so "y" is on the left and everything else on the right. Plot the "y≤ ,y≥ ,y> or  y< " line.Shade above the line for a " greater then" and below for the "less than".

According to the given equation.

We have system of inequalities.

[tex]y < \frac{-1}{2}x[/tex]

and [tex]y \geq 2x + 3[/tex]

Also, the graph of the inequalities.

Since, y is less than [tex]-\frac{1}{2} x[/tex] shade  below the line.

And, for the second inequality.

y is greater than and equal to 2x + 3 therefore, shade the above the line.

So, the common region D we get after the shading.

Hence, region D represents the solution of the given system of inequalities.

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Related Questions


Explain how to determine the zeros of the function below, and also
identify the zeros of this function

Answers

Answer:

A function is shown. f(x) = x2 + 2x - 35 One of the zeros of the function is What is the other zero of the functions


Rockey has lent out 8000 for 5 years
at 15% per nm & borrowed ruppies 6000
for 3 years at 12% per nm, how much
did he gain or loose.

Answers

[tex]SI=\frac{P*R*T}{100}[/tex]

[tex]SI=\frac{8000*15*5}{100}[/tex]

     [tex]=Rs. 6,000[/tex]

Amount = [tex]8,000+6,000=Rs. 14,000[/tex]

Interest = [tex]Rs. 6,000[/tex] Amount = [tex]Rs. 14,000[/tex]

[tex]SI=\frac{P*R*T}{100}[/tex]

[tex]SI=\frac{6000*12*3}{100}[/tex]

     [tex]= Rs.2160[/tex]

Amount = [tex]6,000+2,160=Rs.8,160[/tex]

Interest = [tex]Rs. 21,600[/tex]  Amount = [tex]Rs.8160[/tex]

Gain: 6,000 - 2,160

Gain = Rs. 3,840

hope this helps......

Find an equation for the perpendicular bisector of the line segment whose endpoints are (1,-3)(1,−3) and (7,-7)(7,−7).

Answers

Answer:

[tex]y=\frac{3}{2} x-11[[/tex]

Step-by-step explanation:

[tex]y-\frac{-7-3}{2} =\frac{-1}{\frac{-7-(-3)}{7-1} } (x-\frac{7+1}{2} )\\y+5=\frac{6}{4} (x-4)\\y=\frac{3}{2} x-11[[/tex]

In a box there are n red marbles and three times as many black marbles. There are 36
marbles in the box. How many red marbles are in the box?


Answers

Answer:

it is 12

Step-by-step explanation:

for n= 36 divided by 3.

y = x2 + 5x - 14 in factored form need answe asap please

Answers

Answer:

y = ( x-2)(x+7)

Step-by-step explanation:

y = x^2 + 5x - 14

What 2 numbers multiply to -14 and add to 5

-2 * 7 = -14

-2+7 = 5

y = ( x-2)(x+7)

You receive $1,000 to put in the bank. You place it in an account that pays 6% annual interest compounded continuously. How much will you have in 12 years? Round the answer to the nearest dollar. SHOW WORK PLZ​

Answers

The answer is $2054 grade

Answer:

2054.43$ = 2054$

Step-by-step explanation:

Here, by analyzing the question we get;

Principal= 1000$

Time (In years) = 12

Rate (Annual) = 6%

Now;

First convert R into decimal= 0.06 rate per year

Now solving the equation for A:

A=Pe^(rt)

=1000(2.71828)^(0.06*12)

=$2054.43

If you have any questions, just ask me in the comments

What is the coefficient in the expression shown?

Answers

Answer:

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression.  

Step-by-step explanation:

Name each polynomial

4m^2-5m+6

18s-7

6p^3

Answers

Answer:

Quadratic function

linear function

cubic function

Step-by-step explanation:

Please help I’ll give brainliest

Answers

Answer:

The rules for standard form are

Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)

I hope this helps

Answer:

False

Step-by-step explanation:

Please Mark me brainliest

please help :)))))))m)))e

Answers

Its 90 because its a L shaped will means its 90

Answer:

90

Step-by-step explanation:

The exterior angle theorem states that to find the exterior angle, you have to add the interior angles that you know. 60+30 = 90.

please help me answer this question also it’s asking to show work!!

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{9\times10^5}{10\times10^3}}[/tex]

[tex]\mathsf{10^5}[/tex]

[tex]\mathsf{= 10\times10\times10\times10\times10}[/tex]

[tex]\mathsf{= 100\times100\times10}[/tex]

[tex]\mathsf = 10,000\times10}[/tex]

[tex]\mathsf{=\bf 100,000}[/tex]

[tex]\mathsf{10^3}[/tex]

[tex]\mathsf{= 10\times10\times10}[/tex]

[tex]\mathsf{= 100\times10}[/tex]

[tex]\mathsf{= \bf 1,000}[/tex]

[tex]\mathsf{\dfrac{9\times100,000}{10\times 1,000}}[/tex]

[tex]\mathsf{9\times100,000 = \bf 900,000}[/tex]

[tex]\mathsf{10 \times 1,000 = \bf 10,000}[/tex]

[tex]\mathsf{\dfrac{900,000}{10,000}}[/tex]

[tex]\mathsf{= \bf 90}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 90}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Quadrilateral MNQP has vertices as shown. If the figure is translated 4 units left and 3 units down, what are the coordinates of N'? *

Answers

Answer:    (-3, 0)

Explanation:

Point N is at (1,3)

We apply the rule [tex](x,y) \to (x-4,y-3)[/tex] which will translate the point 4 units to the left and 3 units down.

The old x coordinate x = 1 becomes x-4 = 1-4 = -3

The old y coordinate y = 3 becomes y-3 = 3-3 = 0

The point N(1,3) moves to N ' (-3, 0)

which information could he have used to determine this?

Answers

Answer:

c

Step-by-step explanation:

If it equals the double of one angle that means it is bisected in to 2 equal parts

What is the sum of the measures of the interior angles of the stop signIf the stop sign is a regular octagon, what is the measure of each interior angle?

Answers

Answer:

I think its hfbfjfbsobsxhhx

Answer:

1080 & 135

Step-by-step explanation:

I did it

Need help!!! Please

Answers

Answer:

I think it is the first one

Step-by-step explanation:

If Greg is hosting a BBQ and he needs 50 corn on the cobs. A package of 5 costs $3.25. How much money does he need to get the 50 corn on the cobs?

Answers

Answer: $32.5

Step-by-step explanation:

Given

Greg needs 50 corns on the cobs

A package of 5 costs $3.25

For 50 corns, he needed 10 package

So, cost of 10 packages is

[tex]\Rightarrow 10\times 3.25\\\Rightarrow \$32.5[/tex]

slope for (0,0) and (3,30)

Answers

Slope is the change in y over the change in x:

Slope = (30-0)/(3-0)

Slope = 30/3

Slope = 10

Answer:

The formula for slope is (y2-y1)/(x2-x1)

Hence, the answer will be:

(30-0)/(3-0)

=30/3

=10

For #4 - 5, the two polygons are similar. Find the
values of x and y.
60°
18
12
22
x + 4
4.

Answers

Answer:

x = 10.7

y = 120°

Step-by-step explanation:

If two polygons are similar, their corresponding angles would be the same, while the ratio of their corresponding sides will be equal.

Therefore, the angles of the two polygons given are equal, while the ratio of their corresponding side length is equal.

Thus:

✔️Find x:

22/(x + 4) = 18/12

22/(x + 4) = 3/2

Cross multiply

(x + 4)3 = 2*22

3x + 12 = 44

Subtract 12 from each side

3x = 44 - 12

3x = 32

x = 32/3

x = 10.7

✔️Find y:

y + 60° = 180° (adjacent angles are supplementary)

y = 180 - 60

y = 120°

Round the decimal 7.16 ?

Answers

Answer:

7(nearest whole number)

7.2(1 decimal place)

what is real numbers? explain briefly..​

Answers

Answer:

a quantity that can be expressed as an infinite decimal expansion is real number.This includes all integers and all rational and irrational numbers.It can be either positive or negative.it can be either rational and irrational but not both It is demoted by R .Then numbers which are not both rational and irrational are not real numbers.

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someone help me pleaseeeeee

Answers

Answer:

option B

Step-by-step explanation:

Top right graph

Answer:

b

Step-by-step explanation:

pls mark me brainliest

Help please!!!!!!!!!!!

Answers

Answer:

16.2m

Step by step:

b=20

angle= 40

h=x(let us considered)

now ,

tan =P/b

putting value.

tan40=x/20

x=20 tan40

x=16.2m

(x – 3) (x + 6) cuanto es

Answers

Answer:

Step-by-step explanation:

(x - 3)(x + 6)

=x(x + 6) -3(x + 6)

=x*x + x*6 - 3*x - 3*6

=x^2 + 6x - 3x - 18

=x^2 + 3x - 18

[tex]\longrightarrow{\green{ \: {x}^{2} + 3x - 18 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](x - 3)(x + 6)[/tex]

➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]

➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]

➼ [tex] \: {x}^{2} +3x - 18[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Sumaya's Smoothie Store is planning to sell an extra-large size. The extra-large size will have three times the volume of the small size. It will cost twice as much as the small size. Which coordinate pair represents the volume and cost of the extra-large size?

Answers

Answer:

The answer is below

Step-by-step explanation:

Sumaya’s Smoothie Store is planning to sell an extra-large size. The extra-large size will have three times the volume of the small size (the small size is (8,4) ). It will cost twice as much as the small size.

Which coordinate pair represents the volume and cost of the extra-large size?

Solution:

The coordinate plane is a plane that can be used to represent the position of a point. The plane consist of x axes and y axes. The position of a point is referenced from the origin.

The small size of a pizza is represented by the coordinate pair (8, 4) ⇒ (volume, cost)

Since the volume of the extra-large size will have three times the volume of the small size, hence:

Volume of extra-large size = 8 * 3 = 24

The cost of extra large is twice as much as the small size, hence:

Cost of extra large = 4 * 2 = 8

Therefore the coordinate pair that represents the volume and cost of the extra-large size is:

(24, 8)

The formula for the nth term of a sequence is 3n +7
What is the 6th term in the sequence?

Answers

Answer:

6th term = 25

Step-by-step explanation:

3n + 7

3 x (6) + 7

18 + 7 = 25

If this helps you, please mark brainliest!

Have a nice day!

Answer:

[tex]25[/tex]

Step-by-step explanation:

[tex] Tn_{n} = 3n + 7 \\Tn _{6} = 3 n + 7 \\ = 3 \times 6 + 7 \\ = 18 + 7 \\ = 25[/tex]

Hope this helps you

Have a nice day!

What is the length of LM?

Answers

Answer:

5

Step-by-step explanation:

there, it has to be a 5, L and M's distance is 5 units away

if this answer is wrong, i swear that i will give myself a warning and actually take it seriously

Answer:

5

Step-by-step explanation:

Point M is at 49 and Point L is at 44.

To get to one point from another, you would need to go 5 numbers to the right of point L or left of point M.

Hope this helps

Diego has 1/4 of a book left to read. There is 6 chapters left each chapter is the same length. What fraction of the book is each chapter

Answers

Answer:

Fraction of the book is each chapter = 1 / 24

Step-by-step explanation:

Given:

Fraction of book left to read = 1/4 book

Number of chapter left to read = 6 chapter

Find;

Fraction of the book is each chapter

Computation:

Total number of chapter in book = Number of chapter left to read / Fraction of book left to read

Total number of chapter in book = 4 x 6

Total number of chapter in book = 24 chapters

Fraction of the book is each chapter = Number of book / Total number of chapter in book

Fraction of the book is each chapter = 1 / 24

Alex and Jill share £100 in the ratio of 1 : 7 work out how much money Alex gets?​

Answers

Answer:

$87.50

Step-by-step explanation:

If they split the money 1:7 this means they divided it into 8 portions. (Because 7+1=8). So do $100/8=12.5.

(You never specified who got 1 portion and who got 7, so I will assume Alex got the 7)

Let's say Jill got the 1 portion, she gets $12.50.

Let's say Alex got the 7 portion, he got $12.50 x 7 = $87.50

The amount Alex got is £12.5.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Alex and Jill share £100 in a ratio of 1:7.

Total ratio = 8x

So,

Alex = 1x

Amount = 1x/8x x 100 = £12.5

Jill = 7x

Amount = 7x/8x x 100 = £87.5

Thus,

Alex got £12.5.

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How many whole numbers less than 2,700,000 end with the digits 2014?

Answers

Answer:

1,002,014

Step-by-step explanation:

Can You help me with this problem I’m stuck

Answers

Answer:

Last option,

i.e - 30 miles/1hour

is correct (☑️)

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