$20.\\y=x^2-x-2\\a=1,\ b=-1,\ c=-2\\\\\dfrac{-b}{2a}=\dfrac{-(-1)}{2(1)}=\dfrac{1}{2}\to x=\dfrac{1}{2}\\\\x^2-x-2=0\\\\x^2-2x+x-2=0\\\\x(x-2)+1(x-2)=0\\\\(x-2)(x+1)=0\iff x-2=0\ \vee\ x+1=0\\\\x=2\ \vee\ x=-1$

3 0

3 years ago

The managers of franks snack shack buys hamburgers in packages of 30 and hamburger buns in packages of 24. He cannot buy part of

Andreas93 [3]

Answer:

He has to buy 4 packages of hamburgers in packages of 30 and 5 packages of hamburgers in packages of 24

Step-by-step explanation:

First we have to calculate the least common multiple (LCM) of 24 and 30

We will calculate the LCM of 24 and 30 by prime factorization method

24 = 2*2*2*3 = $2^{3} * 3^{1}$

30 = 2*3*5 = $2^{1} *3^{1}* 5^{1}$

LCM = $2^{3}* 3^{1}*5^{1}$

LCM = 120

So number of hamburger buns = 120

Therefore, he must buy 120/24 = 5 packages of hamburgers in packages of 24 and he must also buy 120/30 = 4 packages of hamburgers in packages of 30

4 0

2 years ago

The circumference of a circle is defined to be the _________.

Gre4nikov [31]

C. The distance around the circle is the correct answer.

8 0

2 years ago

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What is 50/2537 in simplified version?

Zigmanuir [339]

Answer:.01

Step-by-step explanation:

4 0

2 years ago

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