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Andru [333]
3 years ago
11

Which point could be removed in order to make the relation a function? (–9, –8), (–{(8, 4), (0, –2), (4, 8), (0, 8), (1, 2)}

Mathematics
2 answers:
stepan [7]3 years ago
7 0

We are given order pairs  (–9, –8), (–{(8, 4), (0, –2), (4, 8), (0, 8), (1, 2)}.

We need to remove in order to make the relation a function.

<em>Note: A relation is a function only if there is no any duplicate value of x coordinate for different values of y's of the given relation.</em>

In the given order pairs, we can see that (0, –2) and (0, 8) order pairs has same x-coordinate 0.

<h3>So, we need to remove any one (0, –2) or (0, 8) to make the relation a function.</h3>
Alex17521 [72]3 years ago
3 0
I'm gonna say (0,8) because there can't be two of the same x values in a function.
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Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a
Vitek1552 [10]

Answer:

2ab - 6a + 5b - 15

Step-by-step explanation:

Given

2ab - 6a + 5b + \_

Required

Fill in the gap to produce the product of linear expressions

2ab - 6a + 5b + \_

Split to 2

(2ab - 6a) + (5b + \_)

Factorize the first bracket

2a(b - 3) + (5b + \_)

Represent the _ with X

2a(b - 3) + (5b + X)

Factorize the second bracket

2a(b - 3) + 5(b + \frac{X}{5})

To result in a linear expression, then the following condition must be satisfied;

b - 3 = b + \frac{X}{5}

Subtract b from both sides

b - b- 3 = b - b+ \frac{X}{5}

- 3 = \frac{X}{5}

Multiply both sides by 5

- 3 * 5 = \frac{X}{5} * 5

X = -15

Substitute -15 for X in 2a(b - 3) + 5(b + \frac{X}{5})

2a(b - 3) + 5(b + \frac{-15}{5})

2a(b - 3) + 5(b - \frac{15}{5})

2a(b - 3) + 5(b - 3)

(2a + 5)(b - 3)

The two linear expressions are (2a+ 5) and (b - 3)

Their product will result in 2ab - 6a + 5b - 15

<em>Hence, the constant is -15</em>

3 0
3 years ago
Pls help me help me pls ​
grin007 [14]

Answer:

Point B

Step-by-step explanation:

Lines given:

  • y= 2/5x - 1/2
  • y= -1/3x +2/3

x coordinate of intersection of given lines is:

  • 2/5x - 1/2= -1/3x+2/3
  • 2/5x+1/3x= 2/3 +1/2
  • 6/15x+5/15x= 4/6+3/6
  • 11/15x=7/6
  • x= 7*15/11*6
  • x= 35/22

For this value of x, the value of y is:

  • y= 2/5*35/22 - 1/2
  • y=14/22- 1/2
  • y= 3/22

As per graph point (35/22, 3/22) is point B

4 0
3 years ago
Can someone help me please I need the mode, median, range and the mean.?
Neko [114]

Answer:

First the mode.  Since 5 popped up the most, 5 is the mode.

Next is the median.  I crossed 1 dot from each side until it shows the last dot, and 5 was the last one.

After that the range.  9-2=7

Finally the worst, the mean... 2+2+3+3+3+4+5+5+5+5+5+6+6+6+8+9+9+9+9

=104/19=5.47

SO, Mode=5 Median=5 Range=7, and the mean is 5.47 (rounded nearest hundred)

7 0
3 years ago
Given h(x)=-3x-2,solve for x when h(x)=1​
lora16 [44]

Answer:

-5

Step-by-step explanation:

6 0
3 years ago
Is this correct ? if not what’s the correct answer?
lara [203]
Yes this is correct because that angle in is with the other angles to
5 0
3 years ago
Read 2 more answers
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