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andrey2020 [161]
2 years ago
7

Find a linear inequality with the following solution set. Each grid line represents one unit.

Mathematics
1 answer:
alukav5142 [94]2 years ago
4 0

The <em>linear</em> inequality that represents the solution set is (- 1 / 3) · x - y ≥ 8 / 3.

<h3>How to derive the inequality that represents the image</h3>

Herein we have an representation of a inequality of the form y ≤ f(x), where f(x) is a <em>linear</em> function, that is, a <em>first grade</em> polynomial. By geometry we know that a equation of the line can be known from two distinct points set on <em>Cartesian</em> plane:

Slope

m = [- 4 - (- 2)] / [4 - (- 2)]

m = (- 2) / 6

m = - 1 / 3

Intercept (m = - 1 / 3, (x, y) = (4, - 4)

b = y - m · x

b = - 4 - (- 1 / 3) · 4

b = - 4 + 4 / 3

b = - 8 / 3

Then, we find that the inequality is:

y ≤ (- 1 / 3) · x - 8 / 3

8 / 3 ≤ (- 1 / 3) · x - y

(- 1 / 3) · x - y ≥ 8 / 3

The <em>linear</em> inequality that represents the solution set is (- 1 / 3) · x - y ≥ 8 / 3.

To learn more on inequalities: brainly.com/question/17675534

#SPJ1

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Adrian went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 350 mg of sodium and each f
Marizza181 [45]

Answer:

Adrian would have to purchase 9 cans and 3 frozen dinners.

step-by-step explanation:

Let us consider the sodium is denoted by a variable "s"

Let us consider the can is denoted by a variable "c"

Each can of soup containing the sodium = s = 350 mg  

Each frozen dinner containing the sodium = s = 700 mg  

The number of cans purchased by Adrian = c = 9 cans

The total amount of sodium = 5250 mg

Total amount of sodium purchased by Adrian

in 9 cans = 9 × 35  = 3150 mg

Subtracting 5250 mg by 3150 mg will give 2100 mg

So,   5250 mg - 3150 mg = 2100 mg

Dividing 2100 mg by 700 mg of sodium of frozen sodium will give the value 3.

So, Adrian would have to purchase 3 frozen dinner.

<u>Hence, Adrian would have to purchase 9 cans and 3 frozen dinners to collectively contain 5250 mg of sodium.</u><u> </u>

Verification:  

The total amount of sodium = 5250 mg

Total amount of sodium purchased by Adrian in 9

cans = 9 × 350 = 3150 mg

Total amount of sodium purchased by Adrian in 3 frozen dinners = 3 × 700 = 2100 mg

Total sodium = sodium purchased in cans + sodium purchased in frozen dinners

5250 = 3150 + 2100

5250 = 5250

L.HS = R.HS

Keywords: system of equation, word problem, variables

Learn more about system of equations from brainly.com/question/10477531

#learnwithBrainly

6 0
3 years ago
adam bought abox of fruit that weighed 6 3/8 kilograms if he bought a second box that weighed 7 2/5 kilograms ,what is the combi
leva [86]

Answer:

13 31/40

Step-by-step explanation:

1) convert both fractions into improper fractions (you can do so by multiplying the whole number by the denominator/bottom part and then adding that to the numerator/top part)

by doing this, you will get 51/8 and 37/5

2) since you need a common denominator in order to add the two fractions, multiply the top and bottom of 51/8 by 5. Then, multiply the top and bottom of 37/5 by 8.

3) Then, add the top numbers together and your answer will be 551/40, which can be simplified into 13 31/40

I hope this helps!

3 0
2 years ago
Someone please help me quick I’m timed
Lisa [10]
It’s c because the x is exterior angles
8 0
3 years ago
You need to download 3 games for your math class. Each game is the same price. Since this is your first time downloading a game
Ratling [72]
4.35-.50= 3.85 divide that by 3= 1.28$ per game 
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4 years ago
A teacher keeps track of how many books are read by students in each class .which grade has read a higher rate of books per stud
Vadim26 [7]
7 grade needs to read 94 more books in order to catch up with 6 grade.

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