Which ordered pairs are in the solution set of the system is liner inequalities y>-1/3x+2 y<2x+3
Which ordered pairs are in the solution set of the - 1

Answers

Answer 1
Answer:

Answer:

Option (1)

Step-by-step explanation:

Given linear inequalities in the graph are,

y\geq -(1)/(3)x+2

y < 2x + 3

Here shaded area above the solid line represents the inequality,

y\geq -(1)/(3)x+2

And shaded area on the right side of the dotted line represents the solution set of the inequality,

y < 2x + 3

And the solution set of the system of linear inequalities will be represented by the common area of these inequalities.

Therefore, ordered pairs (2, 2), (3, 1) and (4, 2) will lie in the common shaded area.

Option (1) will be the answer.


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Given the fu8nction f(x) = 2(x + 10), find x if f(x) = 24.A) 68
B) 7
C) 17
D) 2

Answers

f(x)=2(x+10)=24
2(x+10)=24
divide 2
x+10=12
minus 10
x=2
D

What is the maximum percentage of net spendable income that should be set aside for food

Answers

PLATO ANSWER: 17%

Hope I helped, have a great day

Final answer:

The maximum percentage of net disposable income that should be set aside for food is approximately one-third, or 33.33%, according to historical data gathered by the U.S. Department of Agriculture's Bureau of Home Economics and Human Nutrition. However, this figure can vary depending on factors like the number of family members and who controls the household income.

Explanation:

Based on the work of the U.S. Department of Agriculture's Bureau of Home Economics and Human Nutrition, the average family should ideally set aside approximately one-third, or about 33.33%, of its net disposable income for food. This estimation is based on the bureau's calculations of how much it would cost to feed a nutritionally adequate diet to a family and is used to determine the poverty line. However, factors like the location (whether a high-income or low-income country), the number of family members, and even who controls the household income can affect this percentage.

It's crucial to understand that this is an average approximation and may not necessarily apply to every household. For some families, spending even 25% of their income on food could lead to financial strain. Conversely, families with higher income levels might spend less than 20%.

Spending on food also tends to be higher in lower-income households compared to higher-income households. Furthermore, spending patterns can differ based on whether the father or mother controls a larger share of the family income. For example, when the mother controls a larger share of family income, families tend to spend more on child care and less on alcohol and tobacco, suggesting that who controls the household resources can affect spending in certain areas, including food.

Learn more about Household Food Expenditure here:

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1. (k+7)² =2892. (2s-1)² =225
3. (x-4)² =169

please help me answer these :)

Answers

1. \ \ \ (k+7)^2 =289\n\n\Leftrightarrow\ \ \ k+7= √(289) \ \ \ or\ \ \ \ k+7=- √(289)\n\nk=17-7=10\ \ \ \ \ \ \ or\ \ \ \ k=-17-7=-24 \n\n2.\ \ \ (2s-1)^2 =225\n\n\Leftrightarrow\ \ \ 2s-1= √(225) \ \ \ or\ \ \ \ 2s-1=- √(225)\n\n2s=15+1\ \ \ \ \ \ \ or\ \ \ \ 2s=-15+1\n2s=16\ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ 2s=-14\ns=8\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ s=-7 \n\n

3.\ \ \ (x-4)^2 =169\n\n\Leftrightarrow\ \ \ x-4= √(169) \ \ \ or\ \ \ \ x-4=- √(169)\n\nx=13+4=17\ \ \ \ \ \ \ or\ \ \ \ x=-13+4=-9
(k+7)^2 =289\n |k+7|=17\n k+7=17\vee k+7=-17\n k=10 \vee k=-24

(2s-1)^2 =225\n |2s-1|=15\n 2s-1=15\vee 2s-1=-15\n 2s=16 \vee 2s=-14\n s=8 \vee s=-7

(x-4)^2 =169\n |x-4|=13\n x-4=13 \vee x-4=-13\n x=17 \vee x=-9

Can you help me with my math problems

Answers

The dependent variable is the one on the Y (vertical) axis
The independent variable is the one on the X (horizontal) axis

OH OH OH
i just remembered, in 6th or 7th grade, my science teacher gave us a way to remember which is which.

DRY MIX
DRY - Dependent (Responding) is on the axis
MIX - Manipulated (Independent) is on the axis

Hope this helps!

3r = 10 + 5s, when r = 10

Answers

3r = 10 + 5s, where r = 10
Substitute 10 for r.
3(10) = 10 + 5s
30 = 10 + 5s
Subtract 10 from each side.
20 = 5s
Divide by 5.
4 = s
3(10)=10+5s
30=10+5s
20=5s
4=s

Which of the following identities would be the best option to use to verify the identity below?

Answers

is there any choices for it