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prohojiy [21]
3 years ago
10

Which ordered pair makes both inequalities true? y < –x + 1 y > x On a coordinate plane, 2 straight lines are shown. The f

irst dashed line has a positive slope and goes through (0, 0) and (2, 2). Everything to the left of the line is shaded. The second solid line has a negative slope and goes through (0, 1) and (1, 0). Everything to the left of the line is shaded. (–3, 5) (–2, 2) (–1, –3) (0, –1)
Mathematics
2 answers:
lara31 [8.8K]3 years ago
7 0

Answer:

It's (-2,2) I just took the test

goldenfox [79]3 years ago
3 0

Answer:

Option B.

Step-by-step explanation:

The given inequalities are

y

y>x

We need to find the ordered pair which makes both inequalities true.

Check the above inequalities for each given ordered pair.

For (-3,5),

(5) (False)

For (-2,2),

(2) (True)

y>x\Rightarrow 2>-2 (True)

So, both inequalities are true for (-2,2). Option B is correct.

For (-1,-3),

y>x\Rightarrow -3>-1 (False)

For (0,-1),

y>x\Rightarrow -1>0 (False)

Both inequalities are not true for (-3,5), (-1,-3) and (0,-1).

Therefore, the correct option is B.

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kicyunya [14]

Step-by-step explanation:

<u>Given</u>

  • x + 2y = 3 and xy = 2
  • show that x³ + 8y³ + 9 = 0​

<u>Solution in steps:</u>

  • (x + 2y)³ = 3³
  • x³ + 3x²(2y) + 3x(2y)² + (2y)³ = 27
  • x³ + 6x(xy) + 12y(xy) + 8y³ = 27
  • x³ + 8y³ + 6(x + 2y)xy = 27                    ⇒  Substitute values
  • x³ + 8y³ + 6*3*2 = 27
  • x³ + 8y³  + 36 - 27 = 0
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Done

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3 years ago
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Naily [24]

Answer:

-2.5

Step-by-step explanation:

The point is between -2 & -3

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2 years ago
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Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners indicated that 20% plan to
alisha [4.7K]

Answer:

Part a: So the number  of business owners giving holiday gift to their employees from survey is 12.

Part b: p-value is 0.00003

Part c: value of p is less that a we reject the null hypothesis.

Step-by-step explanation:

Part a

number of business owners=20%  x n

number of business owners= 0.2x 60

number of business owners=12

Part b

H0: p=0.46

H1: p<0.46

Here

n=60, \hat{p}=0.2, p=0.46

So test statistics is given as

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p-value is P(z<-4.04)= 0.00003

Part c

As value of p is less that a we reject the null hypothesis.

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3 years ago
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