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Digiron [165]
3 years ago
15

The product of the following expression is 34,572 .

Mathematics
1 answer:
alekssr [168]3 years ago
6 0
The answer of you question is 86
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For which interval does this quadratic inequality hold true?
adoni [48]

Answer:

D

Step-by-step explanation:

x²-4x-12≤0

x²-6x+2x-12≤0

x(x-6)+2(x-6)≤0

(x-6)(x+2)≤0

x=6,-2

∴ value of x lies between -2 & 6

3 0
10 months ago
Explain in easy terms, how the signs of the last terms of the two binomial factors of a trinomial are determined?
shutvik [7]

Explanation:

It helps to understand the process of multiplying the binomials. Consider the simple case ...

  (x +a)(x +b)

The product is ...

  (x +a)(x +b) = x² +(a+b)x + ab

If the <em>constant</em> term (ab) is <em>negative</em>, the signs of (a) and (b) are <em>different</em>.

If the constant term (ab) is <em>positive</em>, the signs of (a) and (b) will both match the sign of the coefficient of the linear term (a+b).

___

Of course, the sum (a+b) will have the sign of the (a) or (b) value with the largest magnitude, so when the signs of (a) and (b) are different, the factor with the largest magnitude will have the sign of (a+b), the x-coefficient.

<u>Example</u>:

  x² -x -6

 -6 tells you the factors will have different signs. -x tells you the one with the largest magnitude will be negative.

  -6 = -6×1 = -3×2 = ... (other factor pairs have a negative factor with a smaller magnitude)

 The sums of these factor pairs are -5 and -1. We want the factor pair that has a sum of -1, the coefficient of x in the trinomial.

  x² -x -6 = (x -3)(x +2)

5 0
3 years ago
If (x+3)÷ 3 = 9 what is x
Sveta_85 [38]

Answer:

x = 24

Step-by-step explanation:

9*3 = 27

27 - 3 = 24

x = 24

7 0
2 years ago
Read 2 more answers
What is the distance in the standard (x, y) coordinate<br> plane between the points (2,3) and (5,5)?
Naddik [55]
<h3>The distance between the points (2,3) and (5,5) is 3.6 units</h3>

<em><u>Solution:</u></em>

<em><u>Distance between two points is given by:</u></em>

d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}

We have to find the distance in the standard (x, y) coordinate  plane between the points (2,3) and (5,5)

From given,

(x_1, y_1) = (2, 3)\\\\(x_2, y_2) = (5, 5)

Substituting the values we get,

d = \sqrt{(5-2)^2 + (5-3)^2}\\\\Simplify\\\\d = \sqrt{3^2 + 2^2}\\\\d = \sqrt{9+4}\\\\d = \sqrt{13}\\\\In\ decimal\ form\\\\d = 3.605 \approx 3.6

Thus distance between the points (2,3) and (5,5) is 3.6 units

3 0
3 years ago
At the beginning of the week, Naveen has 87 trading cards. On Monday, he gets 9 more. On Tuesday, he gives 16 away. On Wednesday
Mekhanik [1.2K]
The answer to your problem
is
$1.50

5 0
3 years ago
Read 2 more answers
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