Answer:
about 81 percent
Step-by-step explanation:
3/16=0.812...
we are given
![y=3x^2+7x+m](https://tex.z-dn.net/?f=%20y%3D3x%5E2%2B7x%2Bm%20)
To find x-intercept means we have to find zeros
and for finding zeros , we will use quadratic formula
and we have it has two x-intercepts
so, it's discriminant must be greater than 0
so, we will find discriminant
![D=\sqrt{b^2-4ac}](https://tex.z-dn.net/?f=%20D%3D%5Csqrt%7Bb%5E2-4ac%7D%20%20)
now, we can compare with
![y=ax^2+bx+c](https://tex.z-dn.net/?f=%20y%3Dax%5E2%2Bbx%2Bc%20)
![y=3x^2+7x+m](https://tex.z-dn.net/?f=%20y%3D3x%5E2%2B7x%2Bm%20)
and then we can find a , b and c
![a=3,b=7,c=m](https://tex.z-dn.net/?f=%20a%3D3%2Cb%3D7%2Cc%3Dm%20)
now, we can find D
![D=\sqrt{7^2-4*3*m}](https://tex.z-dn.net/?f=%20D%3D%5Csqrt%7B7%5E2-4%2A3%2Am%7D%20%20)
![D=\sqrt{49-12m}](https://tex.z-dn.net/?f=%20D%3D%5Csqrt%7B49-12m%7D%20%20)
It has two x-intercepts
so,
![D=\sqrt{49-12m}>0](https://tex.z-dn.net/?f=%20D%3D%5Csqrt%7B49-12m%7D%3E0%20%20)
now, we can solve for m
![49-12m>0](https://tex.z-dn.net/?f=%2049-12m%3E0%20%20)
![12m](https://tex.z-dn.net/?f=%2012m%3C49%20%20)
............Answer
Answer: C) ASA = ASA
Refer to the diagram below. I've used color coding to match up the given statements with the drawing. Note how the red segments are between the blue and green angles. So we use ASA to prove the triangles are congruent.
Just right off the bat, I don't think an odd number of odd numbers
can add up to an even number. Without spending too much sweat
working on it, I'll say it's impossible.
Principal clements needs to buy 10 packages
<em><u>Solution:</u></em>
Given that, Principal clements wants to buy a pencil for each of the 57 fourth graders in her school
The pencils come in packages of 6
Therefore,
Total number of students = 57
<em><u>Thus, divide 57 by 6 to get the number of packages clements need to buy</u></em>
<em><u></u></em>
<em><u>Substituting the given values we get,</u></em>
![\text{Number of packages } = \frac{57}{6} \\\\\text{Number of packages }= 9.5 \approx 10](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20packages%20%7D%20%3D%20%5Cfrac%7B57%7D%7B6%7D%20%5C%5C%5C%5C%5Ctext%7BNumber%20of%20packages%20%7D%3D%209.5%20%5Capprox%2010)
Thus principal clements needs to buy 10 packages