Answer:
Step-by-step explanation:
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 3
B = -2
C = -10
B2 - 4AC =
4 - (-120) =
= 124
Applying the quadratic formula :
2 ± √ 124
x = —————
6
√ 124 simplified
The prime factorization of 124 is
2•2•31
To be able to remove something from under the radical, there have to be 2 instances of it
√ 124 = √ 2•2•31 =
± 2 • √ 31
√ 31, rounded to 4 decimal digits, is 5.5678
So now we are looking at:
x = ( 2 ± 2 • 5.568 ) / 6
Two real solutions:
x =(2+√124)/6=(1+√ 31 )/3= 2.189
or:
x =(2-√124)/6=(1-√ 31 )/3= -1.523
Answer:
(- 10, 8 )
Step-by-step explanation:
A translation of 4 left means subtract 4 from the x- coordinate
A translation of 1 down means subtract 1 from the y- coordinate
(- 6, 9 ) → (- 6 - 4, 9 - 1 ) → (- 10, 8 )
Answer:
Everything in the box currently is correct but the bottom two numbers are just -3 and -4
Step-by-step explanation:
How many more are there?? uhm it's asking how much is there more then another number! kk??
For this case we have a quadratic equation of the form:
![ax ^ 2 + bx + c ](https://tex.z-dn.net/?f=ax%20%5E%202%20%2B%20bx%20%2B%20c%0A)
What we must keep in mind to know which direction opens the parabola, is the value of a.
We have two options:
If a <0 the parabola opens down
If a> 0 the parabola opens up
We have the following equation:
![y = 4x ^ 2 + 8x + 2 ](https://tex.z-dn.net/?f=y%20%3D%204x%20%5E%202%20%2B%208x%20%2B%202%0A)
We observed that:
![a = 4 (a\ \textgreater \ 0) ](https://tex.z-dn.net/?f=a%20%3D%204%20%28a%5C%20%5Ctextgreater%20%5C%20%200%29%0A)
Therefore, the parable opens up.
Answer:
the direction that this parabola opens is:
Upwards