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Tems11 [23]
1 year ago
14

Determine whether the ordered pair (1, 1) is a solution of the inequality. y ≤ -3x+1

Mathematics
1 answer:
solong [7]1 year ago
3 0

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Answer:  \textsf{(1, 1) is NOT a solution of the inequality}

-------------------------------------------------------------------------------------------------------------

Given:  y \le-3x + 1

Find:  \textsf{Determine if (1, 1) is a solution of the inequality}

Solution:  In order to determine if (1, 1) is a solution we need to plug in 1 for the x values and 1 for the y values and see if the equation evaluated to true.

<u>Plug in the values</u>

  • y \le-3x + 1
  • 1 \le-3(1) + 1

<u>Simplify</u>

  • 1 \le-3 + 1
  • 1 \le-2

As we can see the expression states that 1 is less than or equal to -2 which is false therefore (1, 1) is NOT a solution of the inequality.

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Greta wants to make 5 pounds of a nut mix using peanuts and cashews. Her budget requires the mixture to cost her $6 per pound. P
Vinil7 [7]

Answer:

3 pounds of peanuts and 2 pounds of cashews

Step-by-step explanation:

Let x be the pounds of peanuts and y be the pounds of cashews

Greta wants to make 5 pounds of a nut mix using peanuts and cashews.

So, x+y=5 ----- A

Cost of 1 pound of peanuts = $4

Cost of x pounds of peanuts = 4x

Cost of 1 pound of cashews = $9

Cost of y pounds of cashews = 9y

Her budget requires the mixture to cost her $6 per pound

So, cost of mixture of x pounds of peanuts and y pounds of cashews is 6(x+y)

So, 4x+9y=6(x+y) --- B

Plot A and B

x+y=5 ---Blue

4x+9x=6(x+y) ---Green

Refer the attached figure

Intersection point = (x,y)=(3,2)

Hence she should use 3 pounds of peanuts and 2 pounds of cashews

6 0
3 years ago
Solve the compound inequality and write the solution in interval notation: 34x−3≤3 or 25(x+10)≥0.
kirza4 [7]

Answer

x≤3/17 or x≥-10

Step-by-step explanation:

3 0
3 years ago
What is the vertex of the graph of f(x) = x2 + 4x + 6?
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(-2,2)

Step-by-step explanation:

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If dn = ‾‾√24, what value of n makes this equation true?
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1/24

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Could you please explain <br><br> find an equation for i, -i, -4, 1 = x as its solution
Virty [35]

We can do this easily using 0s.

(x - i) (x + i) (x + 4) (x - 1) = 0

If you plug in any of the numbers, you'll get 0, making the equation true.

5 0
3 years ago
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