Mathematics High School

solving systems of linear inequalities

Answers

Answer 1

Answer:

YES. (2, 7) is a solution of the system.

Step-by-step explanation:

System of linear inequalities has been given as,

y ≥ -x + 1 --------(1)

y < 4x + 2 ------(2)

If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.

By substituting the coordinates of point (2, 7) in inequality (1),

7 ≥ -2 + 1

7 ≥ -1

True.

By substituting the coordinates of point (2, 7) in inequality (2),

7 < 4(2) + 1

7 < 9

True.

Therefore, point (2, 7) lie in the solution area of system of inequalities.

YES. (2, 7) is a solution of the system.

Related Questions

find the value of x. round your answer to the nearest tenth.

Answers

17/tan(65) = 7.9272 yards. If you need more explanation let me know!

Express in the form n : 1.
Give n as a decimal.
6:4

Answers

Answer:

[tex]Ratio = 1.5 : 1[/tex]

Step-by-step explanation:

Given

[tex]Ratio = 6 : 4[/tex]

Required

Express as [tex]n : 1[/tex]

[tex]Ratio = 6 : 4[/tex]

Divide ratio by 4

[tex]Ratio = 6/4 : 4/4[/tex]

[tex]Ratio = 6/4 : 1[/tex]

Express 6/4 as 1.5

[tex]Ratio = 1.5 : 1[/tex]

Hence, the equivalent of [tex]6:4[/tex] is [tex]1.5 : 1[/tex]

PLEASE I NEED HELP URGENTLY

A long-distance phone company charges $4.95 month plus an additional $.10 per minute. a. Define a variable and write a formula to find the total cost per month for long-distance service. b. Use this formula to find the long-distance charges for 120 minutes of calls in one month.

Answers

4.95 +.10x

If the mouth is 4.95 and than they are charging 0.10 per minute you would need to multiply 0.10 and 120 and than add 4.95 and your answer would be 16.95

Solve for x, using the exterior angle theorem.

Answers

Answer:

x=121 degrees

Step-by-step explanation:

The extetior angle theorem states that one exterior angle is equivalent to the sum of the opposite two interior angles. So, we can say that x is the sum of the opposite two interior angles, (53 and 68), and 53+68=121.

amid has gained weight he now weighs 88kg which is 10% higher than his normal weight. what is his normal weight?

Answers

Answer:

88*0.9= 79.2 (since it's 10% higher, multiply by .9 to find out what 90% of 88 is

you also could've done 88*0.1=8.8 and then subtract 8.8 from 88 and get 79.2

either way his normal weight is 79.2kg

The organization sent

out 640 invitations to a

fundraiser. Of those

invited 416 attended.

What percent of the

people invited attended

the fundraiser?

Answers

Answer: 65%

Step-by-step explanation:

The organization sent out 640 invitations.

416 out of this 640 attended the fundraiser.

The percentage who attended is:

= 416/ 640

= 0.65

= 65%

how many 3/5 are in 9/10s

Answers

Answer:

There are about 1.5 3/5s in 9/10.

Step-by-step explanation:

3/5 = 0.6

9/10 = 0.9

0.9 / 0.6 = 1.5

Answer:

1.5

Step-by-step explanation:

If you use a calculator and divide 9/10 by 3/5 then you will simply get 1.5 you wont need to simplify the fractions to decimals.

9/10 ÷ 3/5 = 3/2=1.5

There are Thewre are 3/2 or 1.5 3/5 in 9/10

6th grade math help me plzzz

Answers

Answer:

Step-by-step explanation:

Answer:

answer is d

2upon7

hope you understand

plssss answer due very soon

Answers

Answer:

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

[tex]4\frac{1}{3} *\frac{3}{5} =\frac{13}{3} *\frac{3}{5} =\frac{13}{5} =2\frac{3}{5}[/tex]

6 quarts =
gallons

Please i meed help answer fast

Answers

Answer:

1 2/4 or 1.5

Explanation:

There are 4 quarts in a gallon, and 2 left over add 1/2 to the full gallon. So, 1 gallon, plus 2 quarts, which is equal to 1/2 gallon, is 1.5 gallons :D

Hope this helped!

What is the length of line segment PQ shown below?

Answers

I think the answer is (-8,-6) I’m not sure sorry

Which equation represents a linear function?
x= 3
y=-3x + 10
y = 150
y = 3x2 + 1

Answers

y=-3x+10 follows the format of linear functions which is y=mx+b

Marisa wants to buy an iPad. She
already saved $25 and plans to
save an additional $10 each week.
Write an expression that represents
the total amount of money Marisa
has saved after any number of
weeks. Use w for number of weeks.

Answers

Answer:

f(w)(or y)=10w+25

Step-by-step explanation:

The 25 is how much you have saved up and the 10 is how much you get each week

Need to know the following angle

Answers

Given:

[tex]m\angle A=(2x-15)^\circ[/tex]

[tex]m\angle B=(x-5)^\circ[/tex]

[tex]\text{Exterior}\ m\angle C=148^\circ[/tex]

To find:

The [tex]m\angle ABC[/tex].

Solution:

In triangle ABC,

[tex]\text{Exterior}\ m\angle C=m\angle A+m\angle B[/tex] [Exterior angle theorem]

[tex]148=(2x-15)+(x-5)[/tex]

[tex]148=3x-20[/tex]

[tex]148+20=3x[/tex]

[tex]168=3x[/tex]

Divide both sides by 3.

[tex]\dfrac{168}{3}=x[/tex]

[tex]56=x[/tex]

Now,

[tex]m\angle ABC=(x-5)^\circ[/tex]

[tex]m\angle ABC=(56-5)^\circ[/tex]

[tex]m\angle ABC=51^\circ[/tex]

Therefore, [tex]m\angle ABC=51^\circ[/tex].

To solve the equation 2−5(3+4x)=2x+7, Miranda's first step was to write 2−15−20x=2x+7. Which property did Miranda use in her first step?

Answers

Answer:

Step-by-step explanation:

distributive

The equation P = 16,250 + 75n can be used to determine the population, P, of a city after n years. Which statements are true? Select ALL that apply. The initial population was 16,250 people. The initial population was 16,250 people. The population after 10 years was 16,325 people. The population after 10 years was 16,325 people. The population increases by 75 people each year. The population increases by 75 people each year. The population increases by 16,250 people each year. The population increases by 16,250 people each year. The population increases by 16,250 people every 75 years. The population increases by 16,250 people every 75 years.

Answers

Answer:

15000+1250x

Step-by-step explanation:

Since the initial population is 15,000, we want to know how many people are going to Jonesville each year. Assuming that in 2001 and in 2002, each year adds 1,250 people and that it is constant. The equation is 15000+1250x in which 15,000 represents the initial number and 1250 is the amount of people added each year followed by x which is the number in years.

What is the solution to the following system of equations?

y = -x - 3 y = 1/2x

Answers

Answer:

Step-by-step explanation:

Need answer fast

The average adult has 1.2 to 1.5 gallons of blood in their body. How much blood does the average adult have in liters?

Answers

Answer:

5.678 liters in 1.5 gallons and 4.542 for 1.2 gallons in liters

5.678 litters and 1.5 in gallons

At Yankee Candle, four large candles and three small candles sell for $34. For
two large candles and one small candle, the cost is $16. Choose a system of
equations to find the cost of large and small candles.

Answers

Answer:

the answer is D

Step-by-step explanation:

{4x+3y=34

{2x+y=16

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The system of equations to find the cost of large and small candles are,

4x + 3y = 34

2x + y = 16

Option D is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x + 4 - 8 is an equation.

We have,

At Yankee Candle, four large candles and three small candles sell for $34. For two large candles and one small candle, the cost is $16.

Large candles = x

Small candles = y

Now,

4x + 3y = 34

2x + y = 16

Thus,

The system of equations to find the cost of large and small candles are,

4x + 3y = 34

2x + y = 16

Option D is the correct answer.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Mark tried to pour 36 ounces of tea into 3 cups After filling the cups to the top there was still 13.5 ounces left in his tea pot if each cup is the same size how much tea is in each cup

Answers

Answer:

Step-by-step explanation:

its 12

Hiii I’m new I need help
On this question pls thank you

Answers

Answer:

answer 2

Step-by-step explanation:

Jordan exercises from 6 a.m. to 8 a.m. on all
days included in the set of days from Monday
to Saturday, exclusive. How many hours does
Jordan exercise per week?

Answers

Answer:

12 hours

Step-by-step explanation:

They work out from 6 to 8, that is two hours. Then, they workout 6 days of the week. 6 times 2 is 12

What is the value of a?

Answers

Answer:

Step-by-step explanation:

Please help, I'll give you 20 points

Answers

Answer: y=1/2x+-4

(You cant give a certain number of points btw)

Need this very badly giving 10 points

Answers

Answer:

A is your answer

Step-by-step explanation:

width= 9 cm

length= 5 cm

height= 20cm

formula: 2(lw+lh+hw)

2(5*9+ 5*20+ 20*9)

2(45+ 100+ 180)

2(325)= 650 cm

Is x + 5 a factor of P(x) = x ^ 3 + 4x ^ 2 + 2x + 35

Answers

Answer:

yes

Step-by-step explanation:

If ( x + 5) is a factor of p(x) then p(- 5) = 0

p(- 5)

= (- 5)³ + 4(- 5)² + 2(- 5) + 35

= - 125 + 100 - 10 + 135

= 0

Since p(- 5) = 0 then (x + 5) is a factor of p(x)

Answer:

(x +5 ) is a factor

Step-by-step explanation:

x + 5 = 0

x = -5

P(x) = x³ + 4x² + 2x + 35

P(-5) = (-5)³ + 4*(-5)² + 2*(-5) + 35

= -125 + 4*25 - 10 + 35

= -125 + 100 - 10 + 35

= -25 -10 +35

= -35 + 35

= 0

P(-5) = o. So, (x +5 ) is a factor

Please helpppppp !!!!!!!!!!!!!! Will mark Brianliest correct answer !!!!!!!!

Answers

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

20^2 + b^2 = 29^2

400 + b^2 = 841

b^2 = 441

21 = b

At a sleepover, three friends are 5/8 of a pizza. For a snack the next day, the friends at 1/2 if the leftover pizza. What fraction of the pizza was not eaten?

Answers

Answer:

if im thinking right (i dunno if i am) but im pretty sure its 3/16

Step-by-step explanation:

bc if 5 of the slices were eaten that would be 3/8 and if they ate half of that the its 3/16 or 0.1875 I THINK im right but double check

A kennel has 65 dogs in total some are puppies and some are adult dogs the ratio of puppies to adult dogs in a kennel is 2:3 how many puppies are there

Answers

Answer:

26 puppies

Step-by-step explanation:

Step one:

Given data

We are given that there are 65 dogs in total

The ratio of puppies to adult dogs in a kennel is 2:3

Total ratio= 2+3= 5

Required

The number of puppies in the kennel

Step two:

Let us the part to all method to find the number of puppies

let the number of puppies be x

2/5=x/65

cross multiply we have

5x= 65*2

5x= 130

divide both sides by 5

x= 130/5

x=26 puppies

Also, the number of adults dog is

65- 26= 39

A student performed the following steps to find the solution to the equation
X2 - 2x - 8 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x - 4) and (x - 2)
Step 2. X-4 = 0 and x - 2 = 0
Step 3. x = 4 and x = 2
A. in Step 2
B. in Step 1
C. The student did not make any mistakes, the solution is correct
D. in Step 3

Answers

Answer:(b) step 1

Step-by-step explanation:

The wrong step in the student's workings is step 1

How to determine the wrong step?

The equation is given as:

x^2 - 2x - 8 = 0

Expand the equation

x^2 + 2x - 4x - 8 = 0

Factorize the equation

x(x + 2)- 4(x + 2)

Factor out x + 2

(x - 4)(x + 2) = 0

The above means that the factored equation of x^2 - 2x - 8 = 0 is (x - 4)(x + 2) = 0

This means that the step 1 of the student's step is wrong and incorrect