If x^2+bx+16 has at least one real root, then the equation x^2+bx+16=0 has at least one solution. The discriminant of a quadratic equation is b^2-4ac and it determines the nature of the roots. If the discriminant is zero, there is exactly one distinct real root. If the discriminant is positive, there are exactly two roots. The discriminant of <span>x^2+bx+16=0 is b^2-4(1)(16). The inequality here gives the values of b where the discriminant will be positive or zero:
b^2-4(1)(16) ≥ 0
</span><span>b^2-64 ≥ 0
(b+8)(b-8) </span><span>≥ 0
The answer is that all possible values of b are in the interval (-inf, -8]∪[8,inf) because those are the intervals where </span>(b+8)(b-8) is positive.
The multiplicative inverse of -1/3 is -3.
The product of a number and it’s multiplicative inverse equals 1.
So... -1/3 x -3/1 = 1
A negative times a negative equals a positive.
I hope this helped!
Answer:
the answer to the other number is 407
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.
[plug in (8,9)]
[multiply]
[subtract both sides by 6]

Now that we have b, we can complete the equation to
.
The question is not specified how many fluid oz are the pancakes and how many pancakes is she going to make