To get the other factor of the expression x² - 10x + 24, we can use long or synthetic division. We are given that the other factor is x - 6, so we can use that as our divisor. Our setup should look something like this:
x² - 10x + 24 ÷ x - 6
Here is the work using polynomial long division:
<u> x -4 </u>
x - 6 | x² - 10x + 24
<u> </u><span><u>x² - 6x</u>
</span> 0 - 4x + 24
<span><u>-4x - 24</u>
</span> 0
We can see that our quotient is x - 4, which would be the other factor of x - 6 to get x² - 10x + 24. The answer to your query is x - 4. Hope this helps and have a phenomenal day!
Answer:
1.35764501988
Step-by-step explanation:
<span>"Each box has 10 bags in it. each bag has 10 blocks in it."
That means that in each box, there are 100 blocks. Tiara just needs to buy [3 boxes] and she'll get [84 blocks left over].</span>
Answer: For the first one, 12.5% chance
Step-by-step explanation:
The probability of flipping a coin and getting tails is 50%. Then, if you were to flip two coins and get both tails, you would have to divide the 50% by 2, which is equals to 25% of flipping two coins and getting them both tails.
So now we know...
Flipping one coin gives you 50% tails and 25% of flipping two coins and getting two tails
So now, we do it again with the third coin. We would divide the 25% by 2, which will get us to a 12.5% of getting all tails, or in fractions, 1/8
I’m not exactly sure about the other ones but I hope you found this one helpful!
The formula to finding a discriminant would be b^2-4ac, the b value of this trinomial being -5, the a value being 2, the c value being 3. Then, you plug the values in the equation and solve: (-5)^2-4(2)(3)
This would simplify to 1, meaning there are two solutions since the discriminant value is positive. If it is 0, there is one solution, if it is negative, then there are no real solutions.
