Whenever a quadratic equation is in the form
![x^2-sx+p](https://tex.z-dn.net/?f=%20x%5E2-sx%2Bp%20)
(i.e. the leading terms is 1), you can solve it by looking for two numbers that give
when summed and
when multiplied.
So, in your case,
![x^2-sx+p = x^2-7x+12 \iff s = 7,\quad p=12](https://tex.z-dn.net/?f=%20x%5E2-sx%2Bp%20%3D%20x%5E2-7x%2B12%20%5Ciff%20s%20%3D%207%2C%5Cquad%20p%3D12)
So, we're looking for two numbers
such that:
![x_1+x_2 =7,\quad x_1x_2=12](https://tex.z-dn.net/?f=%20x_1%2Bx_2%20%3D7%2C%5Cquad%20x_1x_2%3D12%20)
you can clearly check that these numbers are 3 and 4.
Answer:
7x-3<30
Step-by-step explanation:
7 times a number = 7x
is decreased by 3 = -3
the result is less than 30 = <30
Answer:
4th option is the answer for first question.
4th option is the answee for second question.
Step-by-step explanation:
please mark me as a brainlist..
Answer:
![Ratio = 7:6](https://tex.z-dn.net/?f=Ratio%20%3D%207%3A6)
Step-by-step explanation:
Given
Initially
-- coffee
-- coffee
Joe drank 2oz coffee; So, we have:
![Joe = 12oz - 2oz](https://tex.z-dn.net/?f=Joe%20%3D%2012oz%20-%202oz)
--- coffee
Joe added 2oz cream; So, we have:
--- coffee
--- cream
JoAnn added 2oz cream and stirred. So, we have:
--- coffee
--- cream
![Total = 14oz](https://tex.z-dn.net/?f=Total%20%3D%2014oz)
JoAnn drank 2oz from the drink; the amount of drink JoAnn drank is:
![JoAnn = \frac{Cream}{Total}](https://tex.z-dn.net/?f=JoAnn%20%3D%20%5Cfrac%7BCream%7D%7BTotal%7D)
![JoAnn = \frac{2}{14}](https://tex.z-dn.net/?f=JoAnn%20%3D%20%5Cfrac%7B2%7D%7B14%7D)
![JoAnn = \frac{1}{7}](https://tex.z-dn.net/?f=JoAnn%20%3D%20%5Cfrac%7B1%7D%7B7%7D)
Amount of cream left is:
![Amount = [1- \frac{1}{7}] *2](https://tex.z-dn.net/?f=Amount%20%3D%20%5B1-%20%5Cfrac%7B1%7D%7B7%7D%5D%20%2A2)
Take LCM
![Amount = [\frac{7-1}{7}] * 2oz](https://tex.z-dn.net/?f=Amount%20%3D%20%5B%5Cfrac%7B7-1%7D%7B7%7D%5D%20%2A%202oz)
![Amount = \frac{6}{7} * 2oz](https://tex.z-dn.net/?f=Amount%20%3D%20%5Cfrac%7B6%7D%7B7%7D%20%2A%202oz)
![Amount = \frac{12}{7}oz](https://tex.z-dn.net/?f=Amount%20%3D%20%5Cfrac%7B12%7D%7B7%7Doz)
So, we have:
--- cream
cream
The ratio is:
![Ratio = 2:\frac{12}{7}](https://tex.z-dn.net/?f=Ratio%20%3D%202%3A%5Cfrac%7B12%7D%7B7%7D)
Multiply by 7
![Ratio = 14:12](https://tex.z-dn.net/?f=Ratio%20%3D%2014%3A12)
Divide by 2
![Ratio = 7:6](https://tex.z-dn.net/?f=Ratio%20%3D%207%3A6)
Answer:
66.99 cm³
Step-by-step explanation:
V=πr²h
/3
V = (3.14)(2)²(16)/3 = 66.99 cm³