Which point would be a solution to the system of linear inequalities shown below? {see image for inequalities}

(-10, -2)
(−5,2)
(10,7)
(10,−2)

Which Point Would Be A Solution To The System Of Linear Inequalities Shown Below? {see Image For Inequalities}

Answers

Answer 1

Answer:

(10, -2)

Step-by-step explanation:

The inequalities are:

y < x - 7               (1)

y < (1/5)x - 2        (2)

To solve this problem, we have to solve both equations simultaneously and then find the value of x and y that makes the inequality true.

To solve the inequality, subtract inequality (2) from inequality (1) which gives:

0 < (4/5) x - 5

-(4/5)x < -5

Dividing both sides of the equation by -4/5 gives:

-(4/5)x / (-4/5) < -5/ (-4/5)

x > 6.25

Put x > 6.2 in inequality 1

y < 6.25 - 7

y < -0.75

The solution of the inequality is x > 6.25 and y < -0.75

From the list of option, the correct answer is (10, -2) since 10 > 6.25 and -2 < -0.75


Related Questions

The square root of the product of two positive numbers is called their geometric mean. What is the geometric mean of 16 and 64?

Answers

Answer:

Geometric mean of a and b: Square root of axb.

16x64 = 1024

Square root of 1024: 32.

So, the geometric mean is 32.

Hope this helps!

A car is traveling on a highway. The distance (in miles) from its destination and the time (in hours) is given by the equation d = 420 minus 65 t. What is the practical meaning of the d-intercept? a. Initially the car is 355 miles from its destination. b. Initially the car is 420 miles from its destination. c. Initially the car is 65 miles from its destination. d. Initially the car is 485 miles from its destination.

Answers

Answer:

the correct answer is b. Initially the car is 420 miles from its destination.

Step-by-step explanation:

6 less than twice a number

Answers

Answer:

6-2x

Step-by-step explanation:

six less than (subtraction) twice a number. 2 times a number x

50 points and brainliest, please show your work :D (trying to learn so an explanation would be appreciated)

Answers

( a ) Well we know that the limit for the range is 400 dollars, as ( 1 ) her greatest balance was 400 dollars, and ( 2 ) the balance is dependent on the days, and hence represents the range. Respectively the limit for the domain would be 3 weeks.

( b ) Remember that B(0) models the balance over the course of 0 days. As you can see that starting mark is about half of the greatest balance on the graph, 400 dollars. Therefore you can estimate B(0) to be $200.

( c ) B(12) models the balance over the course of 12 days. It mentions that at B(12) the balance reaches $0, so in function notation that would be :

B(12) = 0

( d ) Segment 4 would represent that information. As you can see on the graph, the only time period with which the balance became 0 is represented by the fourth segment.

In a group of 25 people, only three languages are spoken – English, Spanish and German. If there is at least one person who speaks all the three languages, how many people can interact with each other in English and German? 4 people speak two languages but do not speak Spanish One fifth of the group speaks more than one language.

Answers

Answer:

x + a=5

Step-by-step explanation:

Let

number of people who speak only English = E

the number of people who speak only German = G

the number of people who speak only Spanish = S

the number of people who speak only English & German but not Spanish = x

the number of people who speak only English & Spanish but not German = y

the number of people who speak only German & Spanish but not English = z;

the number of people who speak only German & Spanish & English = a

Find the the value of (x + a).

Statement 1: 4 people speak two languages but do not speak Spanish.

x = 4.

x+a

Value for a is unknown.

(x + a). Insufficient.

Statement 3: One-fifth of the group speaks more than one language.

x + y + z + a

= 25/5

= 5

value of (x + a) unknown

Insufficient.

Putting (1) and (2) together

x + y + z + a = 5

x = 4 and a=1,

we have only one possible solution from

x + y + z + a = 5

x + a

= 4 + 1

= 5.

Sufficient.

Find the lateral surface area of the
following prism:
5 cm
5 cm
-apothem = 3.44 cm
5 cm
5 cm
10 cm
5 cm

Answers

Answer:

250 cm²

Step-by-step explanation:

Lateral area of the prism is,

5×10×5

= 250 cm²

Lateral surface area of the given prism is equals to [tex]250cm^{2}[/tex].

What is lateral surface area?

" Lateral surface area is defined as the sum of  area of the all the surfaces except top and bottom of the given geometrical shape."

Formula used

Lateral surface area of pentagonal prism [tex]=5ah[/tex]

[tex]a=[/tex] edge length of the base

[tex]h=[/tex] height of the prism

According to the question,

For the given pentagonal prism,

Edge length of the base [tex]'a' = 5cm[/tex]

Height of the prism [tex]'h' = 10cm[/tex]

Substitute the value in the formula of lateral surface area we get,

Lateral surface area of pentagonal prism [tex]= 5 \times 5\times 10[/tex]

                                                                      [tex]= 250cm^{2}[/tex]

Hence, lateral surface area of the given prism is equals to [tex]250cm^{2}[/tex].

Learn more about  lateral surface area here

https://brainly.com/question/14001755

#SPJ2

evaluate the following expressions if a = 2, b = 3, x = 4, y = 5

Answers

Answer:

18

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

         ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                        PEACE!

why is gravitational force between two object usually unnoticeable​

Answers

Answer:

gravitational attraction is based upon mass.More the mass more the force.When the object is as big as a moon it has a very less gravity.When we are talking about small objects like 2 pencils the force exists but is so weak that no noticabke movement takes place

Answer:

To notice that force, the objects have to have a big mass and be close to each others.

Generally in eveydays life, you don't notice this force since it is weak but that doesn't mean it does't exist.

If you go the space, you can notice this force since planets have big mass. If you get close to the gravitational field of a planet, you will feel a force that is pulling you toward the planet.

2c+17.6 =6 / 4 SOLVE give your answer as a decimal get brainly

Answers

Answer:

-8.05

Step-by-step explanation:

In order to solve for C you first have to subtract 17.6 from both sides.

2c=(6/4)-17.6

6/4 is 1.5

1.5-17.6=-16.1

2c=-16.1

c=-8.05

Answer:

1.5

Step-by-step explanation:

2c+17.6=6/4

2c+176/10=6/4

2c+88/5=6/4

2c=6/4-88/5

2c=30-352/20

2c=-322/20

2c=-161/10

c=-8.05

Proof:

2c+17.6=6/4

2(-8.05)+17.6=6/4

-16.1+17.6=6/4

1.5=1.5

Hope this helps ;) ❤❤❤

for the answer: The florist needs at least 1/3 gallons of nutrient rich water for each bushel of flowers he buys. If w is the gallons of water and f is the bushels of flowers, then:

w≥1/3f

I don't understand how you derive this equation.

Answers

Answer:

see below

Step-by-step explanation:

The phrase "at least" indicates that you use the symbol ≥, so that's where they got the ≥ from. The amount of water needed for each bushel is 1/3 * f or 1/3f because you need 1/3 gallons of water per one bushel. We know that the amount of water needed is at least 1/3 gallons per bushel. Since the amount of water is w, "at least" is ≥ and 1/3 gallons per bushel is 1/3f, the inequality is w ≥ 1/3f. I hope this makes sense.

Would someone plz help me out with this

Answers

Answer:

$25,500

Step-by-step explanation:

Its an increase of $1,500 each year

Find the standard deviation for the set of data.
{5,4, 18, 14, 22, 20, 6, 16, 12}

Answers

The Answer is 6.3245553203368.

Also if you can please answer my recent question.
That will Mean so much.

Please help me with this trigonometry math question ASAP! Thanks so much!

Answers

Answer:

[tex]cos\alpha =\frac{7}{25}; \ tan\alpha =-\frac{7}{24}.[/tex]

Step-by-step explanation:

if π<α<2π and cotα<0, then 1.5π<α<2π. It means, that cosα>0 and tanα<0.

1) tanα=1/cotα; ⇒tanα= -7/24;

2) [tex]cos\alpha =\frac{1}{\sqrt{1+cot^2\alpha }}}; \ cos\alpha =\frac{7}{25}.[/tex]

the probability of getting an ace or a King from a pack of 52 cards is :
1/4
2/13
5/13
6/13​

Answers

Answer:

2/13

Step-by-step explanation:

Cdgfsggdehfetgfrhfer

Answer: 2/13

Explanation:

As there are 4 aces and 4 kings in a pack of cards:

(4 + 4)/52 = 8/52 = 2/13

[tex]\sqrt{x^{2} +5x+3} +2x^{2} +10x-15=0[/tex]

Answers

Factor√x²+5x+3+2x²+10x-15=0√x²+2x²+5x+10x+3-15=0√3x²+15x-12=0√3x²+(3(5x)+3×-4=0√3(x²+5x)+3×-4=0√3(x²+5x-4)=0

please mark this answer as brainlist

Can someone please help me with these 3 questions?

Answers

25) First, find the amount of minutes in 2 hours. Note that there are 60 minutes in one hour:

2 x 60 = 120 minutes per 2 hours.

Next, the bacteria doubles every 20 minutes. 120/20 = 6, which means that the bacteria will double 6 times:

1 x 2 = 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 2 = 32

32 x 2 = 64

64 bacteria will be your answer.

~

26) The Area of a circle = πr²

Set the equation:

400π = π(r + 2)²

First, divide common factors from both sides, or π.

(400π)/π = (π(r + 2)²)/π

400 = (r + 2)²

√400 = √(r + 2)²

r + 2 = √400

r + 2 = √(20 x 20)

r + 2 = 20

r + 2 (-2) = 20 (-2)

r = 20 - 2

r = 18

18 is your final answer.

~

27)

The volume of a box can be found by multiplying length x width x height:

[tex]V (box) = l * w * h[/tex]

The volume given is 90, the height 3, and the width is 1 foot less then length:

First solve what you know:

[tex]V(box) = 90\\h = 3\\l = l\\w = l - 1[/tex]

Plug in the corresponding terms with the corresponding variable. Isolate the variable, l. Divide 3 from both sides of the equation:

[tex]90 = 3 * l (l - 1)\\\frac{90}{3} = \frac{3 * l(l -1)}{3}\\30 = l(l - 1)\\[/tex]

Distribute l to both terms in the parenthesis:

[tex]30 = l(l - 1)\\30 = l^2 - l[/tex]

Solve:

[tex]30 = (6)^{2} -6\\30 = 36 - 6\\30 = 30[/tex]

∴ [tex]l = 6[/tex]

Solve for width. Width is 1 less foot then length:

[tex]l - 1 = w\\l = 6\\[/tex]

∴ [tex]6 - 1 = w\\w = 5[/tex]

Equation: [tex]V (box) = l * w * h[/tex]

or

[tex]l = \frac{V(box)}{w * h}[/tex]

[tex]V(box) = 90\\h = 3\\l = 6\\w = 5[/tex]

Jorge walked 25 steps north. then he walked 75 steps south what is Jorges final position ​

Answers

Answer:

If Jorge goes up 25 (positive) and then goes 75 steps south (negative). Then you have to calculate 25-75. This equals -50. We know negative distance is south so he's final position will be 50 steps south.

Step-by-step explanation:

Combine the radicals. 2√24+5√54 A) 53√6 B) 5√6 C) 19√6 D) 93√6

Answers

Answer:

The answer is option C

Step-by-step explanation:

2√24 + 5√54

To combine the radicals first make sure the radicals have the same square root

That's

For 2√24

[tex]2 \sqrt{24} = 2 \sqrt{4 \times 6} = 2 \times 2 \sqrt{6} [/tex][tex] = 4 \sqrt{6} [/tex]For 9√54

[tex]5 \sqrt{54} = 5 \sqrt{9 \times 6} = 5 \times \sqrt{9} \times \sqrt{6} [/tex][tex] = 5 \times 3 \times \sqrt{6} [/tex][tex] = 15 \sqrt{6} [/tex]

Since they have the same square root we can combine them

That's

[tex]4 \sqrt{6} + 15 \sqrt{6} = (4 + 15) \sqrt{6} [/tex]

We have the final answer as

[tex]19 \sqrt{6} [/tex]

Hope this helps you

please answer the following question(math question)
don't spam​

Answers

Answer:

well hlo again ( ˘ ³˘)♥ (◍•ᴗ•◍)❤

23^3 (-12)^3 +(-11)^3 without actually calculating cubes

Answers

Answer:

9108

Step-by-step explanation:

23^3+(-12)^3+(-11)^3                              remove parentheses

= 23^3-12^3-11^3                                  group difference of two cubes

= (23-12)(23^2+23*12+12^2) + 11^3      factor difference of two cubes

= 11 (23^2+23*12+12^2-11^2)                factor ou 11

= 11(23(23+12) + (12+11)(12-11))              apply difference of two squares

= 11 (23*35+23*1)                                  factor out 23

= 11(23*(35+1))                                       simplify

= 11*23*36                                             convert 11*23 into difference of 2 squares                                                                    

= (17^2-6^2)*6^2                                   expand parentheses

= 102^2-36^2                                       evaluate squares

= 10404 - 1296                                     subtraction

= 9108

(no calculator required)

Moly completes 3/10 of her science project in 4/5 hour

Answers

Answer:

1.5 per hour

Step-by-step explanation:

3/8 is the answer !!!!

If PR = 4X - 2 AND RS = 3X - 5 which expression represents PS?

Answers

Answer:

7x - 7

Step-by-step explanation:

If PR, RS, and PS  are line segments then the equation below will work.

PR + RS = PS

(4x-2) + (3x-5) = 7x - 7

Luis, Diego, and Cecil are going fishing.
Luis brings 4 cans of worms. Diego brings
3 cans of worms plus 2 extra worms. Cecil
brings 2 cans of worms. If they have a
total of 65 worms and each can contains
the same number of worms, how
many worms are in each can?

Answers

Answer:

7

Step-by-step explanation:

If we call the number of worms in a can x, we can write:

4x + 3x + 2 + 2x = 65

9x + 2 = 65

9x = 63

x = 7 worms

Andrew rents rooms in his hotel for an average of $97 per night. The variable cost per rented room is $36. His fixed costs are $52,000 per month. How many rooms does he have to rent per month in order to break even?

Answers

Answer:

853 rooms

Step-by-step explanation:

If someone just opens the door with the intent to stay, Andrew has variable costs to pay which come off the 97 dollars. So his actual profit is 97 - 36 = 61 dollars. So how many rooms in total does he have to rent?

52000 / 61 = 853 rounded.

Is this realistic? The average month has 30 days

853 / 30 = 29 rooms rounded

Each room of 29 would have to be rented every night. I would say he better sell the hotel and go into something else.

Triangle A' B' C' is a dilation of a triangle ABC. The scale factor is [tex]\frac{3}{4}[/tex]. Point B is 11 inches away from the center of dilation is point B'?

Answers

Answer:

None of the options are correct

Step-by-step explanation:

Let us assume point B is at (x, y) and the center of dilation is at (a, b). Therefore the distance between the two points is:

[tex]Distance =\sqrt{(b-y)^2+(a-x)^2}=11 \\\\\sqrt{(b-y)^2+(a-x)^2}=11[/tex]

If Triangle ABC is then dilated by 3/4, the new coordinate is B'(3/4 (x-a) + a, 3/4 (y - b) + b). The distance between B' and the center of dilation would be:

[tex]Distance =\sqrt{(b-[\frac{3}{4}( y-b)+b])^2+(a-[\frac{3}{4} (x-a)+a])^2}[/tex]

Therefore the distance cannot be gotten until the center of dilation is given

Can someone help me with this

Answers

Answer:

Does the answer help you?

Quadrilateral ABCD is inscribed in circle P as shown. Which statement is necessarily true?

Answers

Answer:

             B.   m∠A + m∠C = m∠B + m∠D

Step-by-step explanation:

To inscribe a quadrilateral in a circle, the sums of its opposite angles must be equal (each sum of its opposite angles equals 180 °)

elizas backpack weights 18 7/8 pounds with her math book in it. without her math book, her backpack weighs 14 7/9 pounds

Answers

I'm assuming your trying to find the weight of the math book so here it is:

Answer:

4 5/36

Step-by-step explanation:

You'd have to do 18 7/8 - 14 7/9 but you can't subtract them yet because they don't have common denominators. So, you have to multiply the 7/8 by 9 and the 7/9 by 8. Then you would get 63/72 and 56/72. Then you put that into the equation and get, 18 63/72 - 14 53/72. If you subtract those, you get the answer, 4 10/72. Which can be simplified as 4 5/36.

What is the image of the point (4,7) after a reflection about the line y = 4.?

Answers

Answer:

(4, 1)

Step-by-step explanation:

See attachment courtesy of Desmos.

I need help I need help

Answers

Answer:

[tex]{ \boxed{ \bf{c}}} \: \: \frac{3.8}{4} = s[/tex]

Step-by-step explanation:

[tex]{ \tt{4 \: pies \: = \: 3.8 \: ounces}} \\ { \tt{1 \: pie \: = \: ( \frac{1}{4} \times 3.8) \: ounces}} \\ { \tt{ = 0.95 \: ounces}}[/tex]

[tex]{ \underline{ \sf{ \blue{christ \: † \: alone}}}}[/tex]

Other Questions
Can someone please help me with both of these questions? Recent research has found that on one island of the Galapagos two finch species interbred. This interbreeding may have resulted in a hybrid species that ultimately led to the extinction of one of the species Darwin discovered. They call this speciation in reverse, or despeciation. Based on what you know about speciation, why are these terms appropriate? BRAINLEST Find the sum of the first 6 terms of the infinite series: 1 - 2 + 4 - 8+... Solve Please:(c^5)(c)(c^2) Thank You ^-^ Mt bng n c hiu in th nh mc l 110V. t vo hai u bng n cc hiu in th sau y, hi trng hp no dy tc ca n s t? The following sequence shows four operations for a computer chip assembly process and the effective capacity of each. Step 1: 500 chips/hour Step 2: 250 chips/hour Step 3: 200 chips/hour Step 4: 550 chips/hour Suppose the utilization is 70 percent of effective capacity. What is the actual output of the process? Question 2: Jamie has a jar of coins containing the same number of nickels, dimes and quarters. The total value of the coins in the jar is 13.20. How many nickels does Jamie have? Whats the next number is this series 31,29,24,22,17, what is the area of the shaded region? Sixteen increased by twice anumber is -56. Find the number. "Gettysburg Grocers "stock is expected to pay a year-end dividend, D1, of $2.00 per share. The dividend is expected to grow at a constant rate of 5%, and the stock has a required return of 9%. What is the expected price of the stock five years from today? Find usubscript10 in the sequence -23, -18, -13, -8, -3, ... The volume of a cube is given by , where s is the side length of the cube. What is the difference of the volumes of two cubes with side lengths of 5 meters and 4 meters? I'm TimedWhich situation could this expression represent?6 + 15 3Michael has 6 stamps in his collection. He adds 15 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?Walter has 6 stamps in his collection. He divides the stamps evenly into 3 piles and adds 15 new stamps to one of the piles. How many stamps are in this pile?Andy has 15 stamps in his collection. He divides the stamps evenly into 3 piles and adds 6 stamps to one of the piles. How many stamps are in this pile?Brycen has 15 stamps in his collection. He adds 6 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile? Swifty Corporation purchased a machine for $66000 on July 1, 2020. The company intends to depreciate it over 8 years using the double-declining balance method. Salvage value is $5100. Depreciation for 2020 to the closest dollar is All objects, regardless of their mass, fall with the same rate of acceleration onthe moon.A. TrueB. False If 3, 9, 10, x are in proportion find the value of x. How was the postwar government of Great Britain different from that of EastGermany?A. Great Britain, a member of the Warsaw Pact, had a communistgovernment. East Germany, a NATO country, had a democraticgovernmentB. Great Britain, a NATO country, had a democratic government. EastGermany, a member of the Warsaw Pact, had a communistgovernment.C. Great Britain, a NATO country, had a communist government. EastGermany, a member of the Warsaw Pact, had a demolaticgovernment.D. Great Britain, a member of the Warsaw Pact, had a democraticgovernment. East Germany, a NATO country, had a communistgovernment. Compare the modern (electron cloud) model of the atom with Bohrs atomic model. Which of these statements describe the two models correctly? Check all of the boxes that apply.A. Bohrs model was replaced only because of its age.B. Bohrs model electrons cannot exist between orbits, but in the electron cloud model the location of the electrons cannot be predicted.C. The modern model explains all available data about atoms; Bohrs model does not.D. The modern model is more widely accepted because it was proposed by more well known scientists. CASE 2: In 1967 the plaintiffs, Ashmore, Benson, Pease & Co, manufactured tube tanks. The defendants, AV Dawson, a haulage company, agreed to carry the plaintiffs equipment by lorry. With the knowledge of the plaintiffs transport manager, the defendants loaded their vehicle in excess of the weight permitted by the Road Traffic Act 1960, s.64 (2). The vehicle toppled over during the journey, and the plaintiffs sued in negligence for 2,225 in damage caused to the equipment by the defendants driving. At first instance the trial judge found in favour of the plaintiffs and awarded damages. The defendants appealed.a) Analyze in details the type of contract that took place between the two parties? (5 marks)b) Evaluate whether any recovery of damage can take place if a party enters into a lawful contract but the contract is carried out unlawfully. (5 marks)