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PolarNik [594]
2 years ago
5

If c, m, and n are integers, which of the following are NOT possible values of m and n for the equation below? (Equation in pic)

Mathematics
1 answer:
kakasveta [241]2 years ago
6 0

Answer: C. m = -2; n = -2

have:

x² + 4x + c = (x + m)(x + n)

⇔ x² + 4x + c = x² + (m + n)x + mn

⇒ m + n = 4

    mn = c

=>  M=-2, n=-2 arent possible

Step-by-step explanation:

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A number line going from negative 3 to positive 5. a closed circle is at negative 1.5. everything to the left of the circle is s
algol13

The inequalities which matches the graph are: x ≥ ₋1.5 and ₋1.5 ≤ x

Given, a number line is moving from ₋3 to ₊5 .

Next a mark is made at ₋1.5 and everything to its left is shaded which means not visible.

When we mark the point and shade the left part of it then we can start applying the inequality expressions.

And from that we can match the applicable inequalities while observing the graph.

  • For the first inequality ₋1.5 ≥ x.Here,x value ranges from ₋1.5 to ₊5, hence we take this as an inequality expression.
  • Next, if we consider x ≤ ₋1.5, then here x value will range from ₋1.5 to ₋3. where the region is shaded. Hence this expression doesn't satisfy the graph.
  • the next expression is ₋1.5 ≤ x. here the value will again range in the shaded area so it is not applicable.
  • ₋1.5 ≥ x, here the values will satisfy the graph.
  • remaining inequality expressions does not support the graph.

Therefore the only inequalities the graph represents is  x ≥ ₋1.5 and ₋1.5 ≤ x

Learn more about "Linear Inequalities" here-

brainly.com/question/371134

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5 0
2 years ago
Translate into an equation or inequality to solve: Two more than twice the sum of a number and 12 is greater than the difference
tamaranim1 [39]
Let say the number is 0.5
Then, sum of this number will be 0.5+0.5=1
Now two is twice of 1.
Hence, it proved to be correct.
And difference between 5 and 1 is 4 which is less than 12. It also match the question condition.

Answer: The number is 1.
3 0
2 years ago
Michelle is filling out a form and needs to enter her height in meters. She knows that she is 145 centimeters tall. What value s
Viefleur [7K]
The value is 1.45 meters
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3 years ago
Read 2 more answers
Do u know whats 103,727,495 in word for and expanded form
Studentka2010 [4]

Answer:

word form: One hundred three million seven hundred twenty seven thousand four hundred and ninety five.

expanded form: 100,000,000+3,000,000+700,000+20,000+7,000+400+90+5.

5 0
2 years ago
Please come answer this, I need help asap
Vadim26 [7]

Answer:

26

Step-by-step explanation:

To evaluate this expression, all we have to do is substitute the given values of the variables into the expression. That is, replace every m in the expression with a 1 and every p in the expression with a 5.

Doing so, we get:

p^{2} +m

=5^{2} +1 (Substitute given values into the expression)

=25+1 (Evaluate exponential term)

=\bf26 (Add)

Hope this helps!

8 0
3 years ago
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