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nekit [7.7K]
3 years ago
7

Identify the inequalities A, B, and C for which the given ordered pair is a solution: (0,0)​

Mathematics
1 answer:
professor190 [17]3 years ago
5 0

Answer:

Options (A) and (C)

Step-by-step explanation:

A). The given inequality is,

    x + y ≤ 2

    Solution area of the inequality is the shaded area below the line.

    Since (0, 0) lies in the shaded region, ordered pair will be a solution of this inequality.

B). For the inequality y ≤ \frac{3}{2}x-1

   Since, (0, 0) doesn't lie in the shaded region of this inequality, ordered pair will not be a solution of the inequality.

C). y > -\frac{1}{3}x-2

    In this graph (0, 0) lies in the shaded region of the inequality therefore, it will be a solution of the given inequality.

Therefore, Options (A) and (C) are the correct options.

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What is the rate of Change of the line through (1,-3) and (0,-1)
andreyandreev [35.5K]

Answer:

m=-2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (1, -3)

Point (0, -1)

<u>Step 2: Find slope </u><em><u>m</u></em>

Substitute in points into the slope formula to find rate of change

  1. Substitute [SF]:                    m=\frac{-1+3}{0-1}
  2. Add/Subtract:                      m=\frac{2}{-1}
  3. Divide:                                 m=-2
7 0
3 years ago
6 identical toys weigh 1.8 kg how much would 1 toy weigh using grams
kaheart [24]

Solution:

Given that, 6 identical toys weigh 1.8 kg

we know that, 1kilogram = 1000 grams

6 identical toys weigh in grams

1.8 * 1000 =1800

6 identical toys weigh 1800 grams

then calculating the weight of 1 toy by unitary method ,

weight of 1 toy =\frac{1800}{6} = 300 grams.

Hence, 1 toy would weigh 300 grams.



6 0
3 years ago
Read 2 more answers
Perpendicular to y=2x+9 and has the point (4,-1)
Wewaii [24]

Answer: y =  -\frac{1}{2}x + 1

Step-by-step explanation:

      First, we will find the slope. The slope of perpendicular lines are negative reciprocals.

      In this case, the first slope is 2. The negative of 2 is -2, and the reciprocal of -2 is -\frac{1}{2}.

      Now, we will plug in this new slope, the point given, and solve for the <em>b</em>, or the y-intercept.

y = <em>m</em>x + <em>b</em>

(-1) =  (-\frac{1}{2})(4) + <em>b</em>

-1 =  -2 + <em>b</em>

1 = <em>b</em>

     Lastly, we will write our equation.

y = <em>m</em>x + <em>b</em>

y =  -\frac{1}{2}x + 1

          The line is y =  -\frac{1}{2}x + 1, or y = 1 - \frac{x}{2}.

4 0
2 years ago
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Find the sum 5/14 + 4/5
AnnyKZ [126]

Answer:

81/70

Step-by-step explanation:

5/14+4/5=25/70+56/70=81/70

3 0
3 years ago
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Will give any wanted points!! help quick!!
gayaneshka [121]

Here , the ratio <em><u>UV:</u></em><em><u>VW</u></em> and <em><u>UT:TS</u></em> will be in proportion , so ;

{:\implies \quad \sf \dfrac{UV}{VW}=\dfrac{UT}{TS}}

Putting the given values ;

{:\implies \quad \sf \dfrac{18}{36}=\dfrac{UT}{24}}

{:\implies \quad \sf UT=\dfrac{1}{2}\times 24}

{:\implies \quad \bf \therefore \quad \underline{\underline{UT=12 \:\: units}}}

4 0
2 years ago
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