Answer:
x^2+7x+12
Step-by-step explanation:
(x+3) (x+4)
FOIL
first: x*x = x^2
outer: 4x
inner: 3x
last: 3*4 =12
Add them together
x^2 +4x+3x+12
x^2+7x+12
Answer:
![\frac{7\pm\sqrt{73}} {2}](https://tex.z-dn.net/?f=%5Cfrac%7B7%5Cpm%5Csqrt%7B73%7D%7D%20%7B2%7D)
Explanation:
We have been given with the quadratic equation ![x^2-7x-6=0](https://tex.z-dn.net/?f=x%5E2-7x-6%3D0)
We have general formula to find the roots of a quadratic equation first we find the discriminant with formula
![D=b^{2}-4ac](https://tex.z-dn.net/?f=D%3Db%5E%7B2%7D-4ac)
and after that to find the variable suppose x we have the formula
![x=\frac{-b\pm\sqrt{D}} {2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7BD%7D%7D%20%7B2a%7D)
And general quadratic equation is
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
On comparing the given quadratic equation with genral quadratic equation we will have values
a=1, b=-7 and c=-6
After substituting these values in the formula we will get
![D=(-7)^2-4(1)(-6)={73}](https://tex.z-dn.net/?f=D%3D%28-7%29%5E2-4%281%29%28-6%29%3D%7B73%7D)
After substituting in the formula to find x we will get
![\frac{-(-7)\pm\sqrt{73}} {2}= \frac{7\pm\sqrt{73}} {2}](https://tex.z-dn.net/?f=%5Cfrac%7B-%28-7%29%5Cpm%5Csqrt%7B73%7D%7D%20%7B2%7D%3D%20%5Cfrac%7B7%5Cpm%5Csqrt%7B73%7D%7D%20%7B2%7D)
Answer:
a) Yes, the two variables correlated
b) Yes, variation of sugar changes the number of orders for item containing sugar
Step-by-step explanation:
a) Yes the two variables are moderately co-related as the value of co-relation lies between 0.5 and 0.7
b) Yes the variation in amount of sugar leads to variation in the number of orders with sugar.