Answer:
6x^2 -36x + 58
Step-by-step explanation:
expand (x-3)^2 = x^2 -6x +9
6(x-3)^2 +4=6(x^2 -6x +9) +4 =6x^2 -36x + 54 +4 = 6x^2 -36x + 58
Answer:
An equation is used when we have paired sets of data to describe how the values in one pair change when we alter the values in the other set.
On the other hand, a series gives a general formula of determining the value of the nth observation when the values have been arranged in increasing order
Step-by-step explanation:
An equation such as; y = 3x+5 models the relation between the response variable y and the predictor variable x. It tells us how y changes when x is altered by a certain magnitude. The value 3 is described as the slope while 5 is the y-intercept.
On the other hand, a series such as; score = 2 + 3n provides a general formula that can be used to determine the score of the nth individual in a sample or population.
Answer:
The probability of the spinner landing on 2 is one fourth.
Step-by-step explanation:
The spinner is split into 4 equal parts labeled 1, 2, 3, 4
The probability of the spinner landing on 2 is given as:
(Possibility of it landing on 2) ÷ (Total possible outcome)
The total possible outcome is 4, because the spinner could land on 1, or 2, or 3, or 4.
It can only land on 2 once, so the possibility of it landing on 2 is 1.
Probability = 1/4
Answer:
it's J
Step-by-step explanation
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<h3>{ 13, 9, 6} represent the sides of a triangle</h3>
<em><u>Solution:</u></em>
<em><u>Use the triangle inequality law</u></em>
The sum of the lengths of any two sides of a triangle must be greater than the third side
<em><u>Option A</u></em>
{13, 9, 6}
![13 + 9 > 6\\\\22 > 6](https://tex.z-dn.net/?f=13%20%2B%209%20%3E%206%5C%5C%5C%5C22%20%3E%206)
Also,
![9+6>13\\\\15>13](https://tex.z-dn.net/?f=9%2B6%3E13%5C%5C%5C%5C15%3E13)
Thus, sum of length of any two sides is greater than third side
Therefore, { 13, 9, 6} represent the sides of a triangle
<em><u>Option B</u></em>
{12, 7, 20}
![12+7>20\\](https://tex.z-dn.net/?f=12%2B7%3E20%5C%5C)
19 is not greater than 20
Therefore, {12, 7, 20} does not represent the sides of a triangle
<em><u>Option C</u></em>
{25, 50, 75}
![25+50>75\\](https://tex.z-dn.net/?f=25%2B50%3E75%5C%5C)
75 is equal to 75
Therefore, {25, 50, 75} does not represent the sides of a triangle