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yulyashka [42]
2 years ago
12

Helppppppppppppppppppppp

Mathematics
1 answer:
KIM [24]2 years ago
6 0

Answer:

C. 2, 1

Step-by-step explanation:

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).
KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

2x^2-3x-6=0

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}

We have to find the value of (a+2)(b+2).

Putting the values:

(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4

3 0
3 years ago
Someone please help me answer this!!
Marrrta [24]

Answer:

7^9

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
7/18 is closes to?<br><br>1/2<br><br>0<br><br>1
Anika [276]

Answer:

1/2

Step-by-step explanation:

Just divide 7 by 18.

7/18 = 0.38888888889

6 0
3 years ago
Assume that all six outcomes of a six-sided number cube have the same probability. What is the theoretical probability of each r
Margarita [4]
Hey there! I am on the same one. :) I will help you out a little. 

<span>Assume that all six outcomes of a six-sided number cube have the same probability. What is the theoretical probability of each roll? 
• 1: 1/6
• 2: 2/6
• 3: 3/6
• 4: 4/6
• 5: 5/6
• 6: 6/6
</span>
<span>Using the uniform probability model you developed, what is the probability of rolling an even number? 
1/6 Roll a number cube 25 times. Record your results here. 

</span><span> <span><span> <span> <span>1st toss=</span>6</span> </span> <span> <span> <span>2nd toss=</span>4</span> </span> <span> <span> <span>3rd toss=</span>6</span> </span> <span> <span> <span>4th toss=</span>6</span> </span> <span> <span> <span>5th toss=</span>3</span> </span> <span> <span> <span>6th toss=</span>3</span> </span> <span> <span> <span>7th toss=</span>4</span> </span> <span> <span> <span>8th toss=</span>2</span> </span> <span> <span> <span>9th toss=</span>6</span> </span> <span> <span> <span>10th toss=</span>5</span> </span> <span> <span> <span>11th toss=</span>1</span> </span> <span> <span> <span>12th toss=</span>4</span> </span> <span> <span> <span>13th toss = </span>5</span> </span> <span> <span> <span>14th toss =</span>1</span> </span> <span> <span> <span>15th toss=</span>4</span> </span> <span> <span> <span>16th toss=</span>2</span> </span> <span> <span> <span>17th toss=</span>2</span> </span> <span> <span> <span>18th toss=</span>2</span> </span> <span> <span> <span>19th toss=</span>6</span> </span> <span> <span> <span>20th toss=</span>5</span> </span> <span> <span> <span>21st toss=</span>3</span> </span> <span> <span> <span>22nd toss=</span>4</span> </span> <span> <span> <span>23rd toss=</span>3</span> </span> <span> <span> <span>24th toss=</span>3</span> </span> <span> <span> 25 toss=5
How many results of 1 did you have? __2____________ How many results of 2 did you have? ____4__________ How many results of 3 did you have? ____5__________ How many results of 4 did you have? ______5________ How many results of 5 did you have? ______4________  How many results of 6 did you have? ______5________
Based on your data, what is the experimental probability of each roll?  <span> 1. 2/25 or 0.08 

2. 4/25 or 0.16

3. 5/25 or 0.24

4. 5/25 or 0.2

5.4/25 or 0.16
<span>
6. 5/25 or 0.2</span></span>Using the probability model based on observed frequencies, what is the probability of rolling an even number? 3/6 = ½ or 0.5
Was your experimental probability different than your theoretical probability? Why or why not? <span>It somewhat is! The denominator is 25 for the experimental probability, and 6 for the theoretical probability.</span><span>
</span><span>Have a lovely day! Cheerio. :) </span></span> </span> </span></span>
8 0
3 years ago
Read 2 more answers
Find the missing value to the nearest hundredth.
Lisa [10]
Sin x = 7/12
x = arcsin (7/12) = 35.69°
4 0
2 years ago
Read 2 more answers
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