Is (–3, –10) a solution to this system of inequalities? y ≥ 7x − 2 y < 4x + 7

Answers

Answer 1

Answer:

No, it is not a solution

Step-by-step explanation:

Given the inequality y ≥ 7x − 2 and y < 4x + 7, they can be combined and written as;

7x-2≤y<4x+7

Equate both values of y, the point of intersection occurs when;

7x-2 = 4x+ 7

7x - 4x = 7 + 2

3x = 9

x = 9/3

x = 3

Substitute x = 3 into y = 7x - 2

y = 7(3) - 2

y = 21 - 2

y = 19

Hence the possible solution will be at (3, 19). Hence the solution (-3, -10) is incorrect


Related Questions

WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!
WHAT IS THE AMPLITUDE OF THIS FUNCTION

Answers

your answer should be three.

~iwa-chan

y=2x+3 y=4x+7 solve by elimination

Answers

Answer:

[tex]\displaystyle [-2, -1][/tex]

Step-by-step explanation:

To use the Elimination method, you must get rid of one pair of variables, so that one side is set to zero. So, in this case, we must get rid of [tex]\displaystyle x,[/tex]therefore we will split the second equation in negative half :

[tex]\displaystyle \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}[y = 4x + 7]}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}y = -2x - 3\frac{1}{2}}} \right. \\ \\ \frac{1}{2}y = -\frac{1}{2}; -1 = y, -2 = x \\ \\ \\ \boxed{[-2, -1]}[/tex]

I am joyous to assist you at any time.


There are 30 students in a class. Which equations represent the situation if the number of boys
is b and the number of girls is 7? Select all that apply.

A. b x 30 = 7

B.b = 30- 7

C. b = 30 + 7

D. b +7 =30

E. b x 7 =30

Answers

Step-by-step explanation:

A. b x 30 = 7E. b x 7 =30C. b = 30 + 7

Rosa earned a total of $34 by selling 17 cups of lemonade. How many cups of lemonade does Rosa need to sell in all to earn $46? Assume the relationship is directly proportional.

Answers

Answer:

23

Step-by-step explanation:

Because 2 dollar each cup. so 2 times 23 is $46. 5 star if this help thanks:)

Need help fast!!!
Use the number line to compare the numbers.
Drag and drop the numbers to place them in increasing order.

Answers

Answer:

the sequence of numbers starting left to right is: -2 -1.6 -1 -1/6 0 3/7 0.6 1 2  

Step-by-step explanation:

Answer:

Ok so -1.6 goes in between -2 and -1.  Then -1/6 goes in between -1 and 0. Then 0.6 goes between 0 and 1. And last 3/7 goes between 1 and 2. 

Step-by-step explanation:

hope this helps you :)

Jada earns $7 per hour mowing her neighbors’ lawns. Identify the independent variable in this situation, and write the letter that you would like to use to represent it.
And Identify the dependent variable and write the letter that you would like to use to represent it.

Answers

The independent variable would be how many lawns I mow
You could use any letter to represent it but I would use l for lawn

The dependent variable would be the amount I earn, $7,
Again you could use any letter to represent it but I would use d for dollar

who can help me? Pleaseee

Answers

Answer:

x = 6

Step-by-step explanation:

2x + 29 = 9x - 13

29 = 7x - 13

42 = 7x

6 = x

i will need the answer for this

Answers

Answer:

Hello! r would equal 0.4. To do this, first subtract 4 from both sides. So (10r+4-4=8-4). You are then left with 10r=4. So then you divide both sides by 10. 10r/10=4/10. So you are left with 0.4. r=0.4

Step-by-step explanation:

Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.

Answers

Answer:

25 minutes

Step-by-step explanation:

let x represent total time when both containers to have the same amount of water.

the equation to represent container A = 200 + 6x

the equation to represent container B = 500 - 6x

Because both containers would have the same amount of water,  the two equations would be equal to each other

200 + 6x = 500 - 6x

collect like terms

12x = 300

x = 300/12

x = 25 minutes

PLEASE HELP ASAP
Use the angle and protractor shown to answer the question.
What is the measure of angle LMN?

Answers

Answer:

Well,for me it's letter C.

2 * blank equals 6.5​

Answers

Answer:

3.25 or 3 and 1/4

Step-by-step explanation:

The algebraic equation is 2x = 6.5.

Divide by 2 to get your answer.

6.5 divided by two is 3.25.

x = 3.25

Answer:

3.25

Step-by-step explanation:

just take away the 25 and multiply it that way

Plz give me brainllest

Find x.
Do not round your answer.
12 cm
6 cm

Answers

Answer: 16.6

Step-by-step explanation:

b(a+b)= d(c+d)

6(12+6)=5(x+5)

6(18)=5x+25

108=5x=25

-25

83=5x

divided by 5

Equals 16.6


3 feet
1 foot
2 feet
A package is shaped like a right rectangular prism. Use the dimensions shown to find the surface area of this package.

A)6 square feet
B)12 square feet
C)20 square feet
D)22 square feet

Answers

Answer:

The surface area is 22 square feet

Step-by-step explanation:

For a right rectangular prism, we have the formula for the area as;

A = 2(lb + lh + bh)

Accordingly, we have l as the length, b as the breadth and h as the height

Using the given dimensions, we have

A = 2(3(1) + 3(2) + 1(2))

A = 2(3 + 6 + 2)

A = 2(11) = 22 square feet

Type the correct answer in each box. Use numerals instead of words. If necessary, useType the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows. / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows.

Answers

Answer:

m = x / n

n = 15

Step-by-step explanation:

Number of chairs per row = m

Number of rows = n

Number of people = x

Number of chairs per row, m = number of people, x / Number of rows, n

m = x / n

If number of attendees, x = 60 ;

Number of chairs per row, m = 4

The number of rows, n = number of attendees / number of chairs per row, m

Hence, n = 60 / 4 = 15 rows

Find the sum of the zeros in the following equation:
Y=(2x – 1) (x + 4) (2x– 3) (x– 1)

Answers

This is the answer where the red part is

What is the equation of the line?

Answers

Answer:

y = 4

Step-by-step explanation:

What does r equal A B C or D

Answers

Answer:

b i think

Step-by-step explanation:

If you multiply 2 xr you will get the ....?

Answers

Explanatio⁣n i⁣s i⁣n a fil⁣e

bit.[tex]^{}[/tex]ly/3a8Nt8n

jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas?.

Answers

Answer:

38 miles

Step-by-step explanation:

456 ÷ 12 = 38

give me brainllest

Three friends ordered personal-sized pizzas for lunch. Lucia ate 2/3 of her pizza, Allie ate 1/4 of her pizza, and Carolina ate 2/5 of her pizza. Which statement correctly compares the amount of pizza that the friends ate?

Answers

Answer:

They have atleast two or one left

Analia is a school district manager. Here are some details about two schools in her district for the last school year:
School A School B
Number of students 300030003000 400040004000
Number of teachers 190190190 380380380
Graduation rate 86\%86%86, percent 90\%90%90, percent
Budget per student \$10{,}500$10,500dollar sign, 10, comma, 500 \$10{,}000$10,000dollar sign, 10, comma, 000
% of students in sports club 62\%62%62, percent 68\%68%68, percent
Number of sports medals won 999 777
SAT average 120012001200 105010501050
SAT range (max-min) 900900900 700700700
Analia wants to know which school has the lower SAT range relative to the resources invested per student (lower, as SAT range is a measure of inequality, which we want to minimize as much as possible).
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.

Answers

SAT average divided by budget per student and
SAT average divided by teachers per student
Question 2:
Yes. According to both definitions, school A has the higher SAT average relative to the resources invested per student.

Can anyone help me with this?
Thank you

Answers

1. 3,6

2. 5,6

3. 4,5

(branliest will be appreciated and thanks)

Slope: 3/5
Y intercept: -3
X-intercept: 5

1. Find the area of the parallelogram.

What is the area?

Answers

67.5in is the answer

Answer:

67.5[tex]in^{2}[/tex]

Step-by-step explanation:

Area of a parallelogram is base x height

The base of the given parallelogram is 9 inches and the height is 7.5 inches

So, its area would be

9 x 7.5

Area equals [tex]67.5^{2}[/tex]

12.
Find whether p = 2 and p=3 are solutions for the equation
7 (p+2)=5 (p+4) ? Justify?​

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

7(p+2)=5(p+4)

By distributive law

The eqn becomes :

7p + 14 = 5p + 20

collecting like terms ;

7p - 5p = 20 - 14

=> 2p = 6 and

:- P = 3 ( dividing both sides by 2)

P= 3 is the only solution to the equation above and it satisfies the equation.

Find the missing side length in the following Pythagorean Triple:
7 - ? - 25

Answers

The answer would be 24 :)

What number must you add to complete the square?
X2 + 12x = 40
x2
o
A. 36
B. 20
(
C. 6
O
O
D. 5
х

Answers

Answer:

36

Step-by-step explanation:

x^2 + 12 x  = 40

To complete the square, take the coefficient of the x term

12

Divide by 2

12/2 = 6

Square it

6^2 = 36

Add 36 to each side

David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.

Answers

Step-by-step explanation:

after he buys everything he has 170.83 ( total 340.17) 73.43 times x

I need help no links 20 points​

Answers

t x 1/8 = n 1/8 = 0.125 in decimal form!!

Answer:

t x 1/8 = n 1/8 = 0.125 in decimal form!!

Step-by-step explanation:

(2N/6N+4) (3N+2/3N-2

Answers

The final answer is N/3N-2.
Do you need all the process?

The following are the last 10 run scores Colin got in cricket:
18, 9, 7, 35, 30, 21, 33, 12, 30, 31
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 27 runs.
What is his new mean score?
Give your answers as decimals.

Answers

Answer:

a) 22.6

b) 23

Step-by-step explanation:

a)

Step 1: 18 + 9 + 7 + 35 + 30 + 21 + 33 + 12 + 30 + 31 = 226

Step 2: 226/10 = 22.6

b)

Step 1: 226+27 = 253

Step 2: 253/11 = 23

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