Determine whether (2,-1) and (-4,2) satisfy the inequality 2x-3y>4. Neither (2,-1) nor (-4,2) satisfies the inequality. (-4,2) satisfies the inequality, but (2,-1) does not. (2,-1) satisfies the inequality, but (-4,2) does not. Both (2,-1) and (-4,2) satisfy the inequality.

Answers

Answer 1

Answer:

(2,-1) satisfies the inequality, but (-4,2) does not.

Step-by-step explanation:

To verify if the points satisfy the inequality, we replace then in the inequality, and see if we have a true statement or a false one.

(2,-1)

[tex]x = 2, y = -1[/tex]

So

[tex]2x - 3y > 4[/tex]

[tex]2(2) - 3(-1) > 4[/tex]

[tex]4 + 3 > 7[/tex]

[tex]7 > 4[/tex]

This is a true statement, which means that (2,-1) satisfies the inequality.

(-4,2)

[tex]x = -4, y = 2[/tex]

So

[tex]2x - 3y > 4[/tex]

[tex]2(-4) - 3(2) > 4[/tex]

[tex]-8 - 6 > 7[/tex]

[tex]-14 > 4[/tex]

This is a false statement, so (-4,2) does not satisfy the inequality.

The correct answer is:

(2,-1) satisfies the inequality, but (-4,2) does not.


Related Questions

I’ll give points + brainalist for the correct answer

Answers

Answer:

B: $14.50

Step-by-step explanation:

8% of $6.72 is $3.74 add that to the pay, and it will be $50.46 then 15% of that is $7.57. Add that to the previous number and you get $58.03, then divide by 4 people and you get $14.50.

Eloise can fertilize her lawn in t hr. What is the rate at which she does this job?

Answers

Answer:

1 / t

Step-by-step explanation:

The rate at which a job, chore or a certain task is executed is expressed as the reciprocal of the time taken to complete such task. That is ;

Rate = 1 / time taken

From the scenario above, the time taken = t hours

Then the rate at which work is done can be expressed as :

1 / t

NO LINKS OR YOU WILL BE REPORTED

help me pls​

Answers

Answer:

i think b

Step-by-step explanation:

In a random sample of 10 residents of the state of Florida, the mean waste recycled per person per day was 2.1 pounds with a standard deviation of 0.59 pounds. Determine the 98% confidence interval for the mean waste recycled per person per day for the population of Florida. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

answer ishsgsvdvdjuxgxvdbdhxudg

Can someone solve this?

Answers

Answer:

The answer is A.

Step-by-step explanation:

Because if you compare the two "y" section on both graphs you will notice that the "Speedy Delivery" charges way more than the "Lightning Delivery ."

Hope this helps ,have a good day.

In triangle ABC, m∠A=(2x+2)∘, m∠C=54∘, and the exterior angle at B is (4x)∘.
Triangle A B C. Angle A is 2 X plus 2 degrees, angle C is 54 degrees, & the exterior angle at B is 4 X degrees.



What is the measure of angle A?
58∘
112∘
28∘
68∘

Answers

Answer:

58°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two remote interior angles.

m∠A + m∠C = measure of exterior angle at B

2x + 2 + 54 = 4x

2x + 56 = 4x

2x = 56

x = 28

m∠A = 2x + 2 = 2(28) + 2 = 56 + 2 = 58°

Answer:

A

Step-by-step explanation:

Remark

<A + <C = the exterior angle.

Two remote interior angles = the exterior angle that neither connects to.

Remote means that the angles do not share any line in common with the remote angle. One of them might share a line extended with the exterior angle.

Equation

<A + <C = Remote angle connected to the supplement of B

Givens

m<A = 2x + 2

m<C = 54

Remote angle = 4x

Solution

2x + 2 + 54 = 4x           Combine like terms on the left

2x + 56 = 4x                 Subtract 2x from both sides

56 = 4x - 2x

2x = 56                         Divide by 2

x = 56/2

x = 28

Answer

<A = 2x + 2

<A = 2*28 + 2

<A = 56 + 2

<A = 58  

2. Barnes and Noble bookstore is having a sale. Dr. Mumin's book sells for
$4 per copy. Dan Moyer's book sells for $1 per copy. Leannie spends $23
for 8 books'. How many copies of books from each author did she buy?

Answers

Leannie bought 5 of Dr. Mumin’s book and 3 of Dan Moyer’s book

Find the slopes of the lines containing the following. (If an answer is undefined, enter UNDEFINED.)
a)
b)
c)
d)
e)
f)

Answers

Answer:

Step-by-step explanation:

a)  

m = y2-y1 / x2-x1

P1 = (3,-4)  as (x1,y1)

P2= (5,6)  as (x2,y2)

m = 6-(-4) / 5 - 3)

m = 6+4 / 2

m = 10 / 2

m = 5

b)

m = y2-y1 / x2-x1

P1 = (5,-3)  as (x1,y1)

P2= (5,6)  as (x2,y2)

m= 6-(-3) / 5-5

m = 6+3 / 0    ( the world blows up when  you divide by zero :0  undefined )

c)

m = y2-y1 / x2-x1

P1 = (1,-1)  as (x1,y1)

P2= (8,-8)  as (x2,y2)

m = -8-(-1) / 8-1

m = -8+1 / 7

m = -7 / 7

m = -1

d)

m = y2-y1 / x2-x1

P1 = (-2.8,2)  as (x1,y1)

P2= (-1.2,2)  as (x2,y2)

m = 2-2 / a number     0 because the numerator is 0 and there is a number in the denominator

e)

m = y2-y1 / x2-x1

P1 = (c,d)  as (x1,y1)

P2= (e,f)  as (x2,y2)

m = f-d / e-c     that's all you can do until we're given those variables

f)

m = y2-y1 / x2-x1

P1 = (0,c)  as (x1,y1)

P2= (d,0)  as (x2,y2)

m = 0-c / d-0

m = -c /d

URGENT giving 100 pts no links no fakes give evidence srong answers or gueses will be reported

Answers

Answer:

C. The IQR is the best measure of variability because the distribution has an outlier.

Step-by-step explanation:

We see 75% of data lies in the interval 0 - 48, and the 120 is the outlier.

We wouldn't use the range as it won't be a representation of variability.

The best measure would be IQR:

The interquartile range is the best measure of variability for such a distribution. Because it's based on values that come from the middle half of the distribution, and not influenced by outliers

Correct choice is C.

​ \frac{5}{2}\mathrm{g}-\frac{1}{2}\mathrm{g}= 2 5 ​ g− 2 1 ​ g simlily

Answers

Answer:

ok

Step-by-step explanation:

The ratio of the lengths of 3 squares of different sizes is 2:4:7. If the length of the biggest
square is 10 cm longer than the smallest square, find the perimeter of the smallest square.

Answers

9514 1404 393

Answer:

  16

Step-by-step explanation:

The largest square is 7-2 = 5 ratio units larger than the smaller square. Hence, each ratio unit stands for (10 cm)/5 = 2 cm. The side length of the smaller square is 2(2 cm) = 4 cm. The perimeter is 4 times that: 16 cm.

The perimeter of the smallest square is 16 cm.

A cereal company makes a cereal from two ingredients: wheat and oats. Each ingredient provides two essential nutrients: vitamin A and vitamin B. The company wants to know how many ounces of wheat and oats to include in each box of cereal so that the minimum requirements of 48 milligrams of vitamin A and 20 milligrams of vitamin B are satisfied. An ounce of wheat provides 10.5 milligrams of vitamin A and 2.4 milligrams of vitamin B. An ounce of oats provides 6 milligrams of vitamin A and 1.8 milligram of vitamin B. An ounce of wheat costs $0.05 and an ounce of oats costs $0.10. The company wants to minimize the total cost of production.
Find the solution to this problem using the Simplex method.

Answers

Answer:

z (min ) = 0.4167    $

x = 8,33 oz

y = 0

Step-by-step explanation:

Table:

                              Vitamin A        Vitamin B         Cost $/oz

Wheat  (x)                10.5                    2.4                   0.05          

Oats     (y)                 6                       1.8                    0.10          

Requirements           48 (mg)              20 (mg)

Requirements           1,693 (oz)           0,7054 (oz)

The problem is minimized z subject to two constraint

z  =  0.05*x  + 0.1*y   to minimize

Subject to:

Requirement  of  Vitamin A

10.5*x + 6 * y  ≥  48

Requirement  of  Vitamin B

2.4*x   + 1.8*y ≥  20

x≥0  y≥0

Using  the on-line solver AtomZmaths and after 3 iterations the solution is:

z (min ) = 0.4167    $

x = 8,33 oz

y = 0

PLS HELP Find the value of x. *

A and B are midpoints.

Answers

Answer:

ab=1/2*34 by mid point theorem

ab=17

so 3x-1=17

3x=17+1

3x=18

X=18/3

X=6

hope it helps

Final Question!!!! College Math! I also did half of it!

Answers

Answer:

15π/4

9π /4

Step-by-step explanation:

[tex]5 \int\limits^4_1 {f(x)} \, dx[/tex]  = 5 ((-π/4)+ π) = 5 (π-π/4) = 5(3π/4) = 15π/4

[tex]5 \int\limits^6_1 {|f(x)|} \, dx[/tex] =  5(π/4 + 2π)  = 5(9π /4) = 45π/4

(D) Work out
1/4 of 28

Answers

Answer:

1/4 ×28=7 ::*^ jghjnryh

Answer:

7

Step-by-step explanation:

[tex]\left(\frac{1}{4}\right)\cdot28[/tex]

[tex]\frac{\left(1\right)\cdot\left(28\right)}{\left(4\right)\cdot\left(1\right)}[/tex]

[tex]\frac{\left(28\right)}{\left(4\right)}[/tex]

You should divide both the numerator and the denominator by 4 and get 7 as a result of that.

which equation shown below shows a linear relationship between x and y ?

Answers

Answer:

Its probably a because the ones with squared results in a u shape

Help Please!! Struggling with this for a while

Answers

Answer:

Area of triangle ABC = 6 square units

Step-by-step explanation:

By applying Pythagoras theorem in right triangle ADC,

AC² = AD² + CD²

3² = (1.8)² + CD²

9 - 3.24 = CD²

CD = √5.76

CD = 2.4 units

By applying mean ratio theorem,

[tex]\frac{AD}{CD}=\frac{CD}{DB}[/tex]

CD² = AD × DB

(2.4)² = 1.8 × DB

DB = [tex]\frac{5.76}{1.8}[/tex]

DB = 3.2 units

AB = AD + DB

AB = 1.8 + 3.2

AB = 5 units

Since, area of a triangle ABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                                = [tex]\frac{1}{2}(\text{AB})(\text{CD})[/tex]

                                                = [tex]\frac{1}{2}(5)(2.4)[/tex]

                                                = 6 square units

-7r^2= -329 square root property​

Answers

9514 1404 393

Answer:

  r = ±√47

Step-by-step explanation:

  -7r^2 = -329 . . . . given

  r^2 = 47 . . . . . divide both sides by -7 (multiplication property of equality)

  r = ±√47 . . . .  square root both sides (square root property of equality)

Answer:

This is what I got.

Step-by-step explanation:

Is (1,2) (1,3) (1,4) a function?

Answers

Answer:

yes

Step-by-step explanation:

No, because the domain starts in 1 for all of the numbers.

Question 4
1 points)
The high school football game started at 7:15 P.M. and ended at 10:44 P.M. How
long did the game last?
A. O 3 hours 29 minutes
B. O 3 hours 9 minutes
C. O 2 hours 29 minutes
D. O 2 hours 9 minutes
Next >
< Back
Clear Answer

Answers

Answer is A because if you do 7 plus 3 gives you 10 and yea I really can’t explain things that good but hopefully this is the right answer

$265 worth of tickets were sold
Adult tickets cost $6
Child tickets cost $2.50
57 tickets were sold

Let x represent the number of adult tickets sold. Let y represent the number of child tickets sold.

Which equations represent the scenario? Select two equations.

Answers

Answer:

A and F, x=35

Step-by-step explanation:

The correct answers are :

A ) x + y = 57

F) 6x + 2.5ʏ = 265

Can someone help finds the area of this figure

Answers

9514 1404 393

Answer:

  49 cm^2

Step-by-step explanation:

The shape is a 3 × 3 square on top of a 4 × 10 rectangle. The area of each rectangle is found by multiplying the dimensions.

  Total Area = (3 cm)(3 cm) +(4 cm)(10 cm) = 9 cm^2 +40 cm^2

  Total area = 49 cm^2

The points A, B, and D are on circle C, AB=BD, and m ABD = 194°.
What is the measure of AB?

Answers

Answer:

AB = 97

Step-by-step explanation:

AB is half of mABD.

ab is going to be 97

Mary has a stack of cards, 8 purple, 6 orange, 5 red and 7 black. If she has to choose a card, how many possible outcomes are there?

Answers

Answer: The amount of outcomes is 26 because you have 26 cards which are all possible to draw so they are the outcomes.

Step-by-step explanation:

Basic arithmetic really.  8+6+5+7 = 26. The color was just added to confuse u.

A block of wood has the shape of a triangular prism. The bases
are right triangles. Find its surface area.

Answers

Answer:

287.25 sq in

Step-by-step explanation:

100 points if you tell me what is range

Answers

Answer:

Difference in large and small numbers, higher or smaller value.

Answer:

The range is the difference between the largest and smallest numbers. If you are talking in math.

Example 1: 1, 2, 5, 6, 7

so the smallest number is 1 and the largest number is 7 so 7-1=6

The range is 6.

Example 2: 16, 19, 10, 17, 42

now we have a data set that is not in order. First step is to order them:

10, 16, 17, 19, 42

Next take the smallest and largest number and subtract them: 42-10=32

The range is 32.

Step-by-step explanation:

Have a nice day!

and can I maybe have brainliest? Thanks!

If p and q vary inversely and p is 2 when q is 21, determine q when p is equal to 6.

Answers

Answer:

[tex]q = 7[/tex]

Step-by-step explanation:

Given

[tex]p\ \alpha\ \frac{1}{q}[/tex] --- inverse variation

[tex]p =2; q = 21[/tex]

Required

Find q when [tex]p = 6[/tex]

[tex]p\ \alpha\ \frac{1}{q}[/tex]

This becomes

[tex]p = \frac{k}{q}[/tex]

Where k is the constant of variation.

Make k the subject

[tex]k = p * q[/tex]

Substitute [tex]p =2; q = 21[/tex]

[tex]k = 2 * 21[/tex]

[tex]k =42[/tex]

When [tex]p = 6[/tex], we have:

[tex]p = \frac{k}{q}[/tex]

[tex]6 = \frac{42}{q}\\[/tex]

Make q the subject

[tex]q = \frac{42}{6}[/tex]

[tex]q = 7[/tex]

3. Two squares were used to form the following figure. What is the area of the shaded region?
A 24 m2
B 64 m2
C132 m2
D 196 m²
PLEASE HURRY

Answers

c


the shades part 14 x14 = 196
but the there a square that is in the middle one so 8x8 =64 i subtract them and get 132

7.2x14.3 what is that?

Answers

Answer:

102.96

Step-by-step explanation:

Answer:

[tex]102.96[/tex]

Step-by-step explanation:

7 . 2

× 14 . 3

___________

²2 . 16

²28 . 80

72 . 00

____________

¹1¹02.96

Therefor, the answer is 102.96

89.5, 71, 75, 76, 74, 87, 89, 71, 85

mode = ?

Answers

Answer:

mode of this question is 71

Answer:

71

Step-by-step explanation:

because mode is the number that occurs most frequently

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