Answer:
you would grid 14 on the right of a number line since it is a positive number
Answer:
Thanks for the points
Step-by-step explanation:
Answer:
x=3,2i,-2i
Step-by-step explanation:
The standard form of a quadratic equation is: ax^2 + bx + c = 0
a = 1 ; b = -2 ; c = -8
To find the zeros, you put in x=0 which gives (0,-8) and use the quadratic formula to find the other zeros; f(x) = 0
Quadratic formula:
x = (-b+/-√(b^2-4ac))/2a
The x-value for the vertex is -b/2a
x = 1
put this in for x and solve for the f(x)
1 - 2 - 8 = -9
vertex: (1, -9)
The vertex form of a quadratic equation: f(x) = a(x-h)^2 + k
where (h, k) is the vertex.
If you don't know the vertex, you would need to factor it into this form. Look at the center term bx, what you could be added to the equation to make a perfect square.
f(x) = (x^2 - 2x + 1) - 9
By splitting the -8 into 1 - 9 we've created a perfect square (x-1)^2
f(x) = (x-1)^2 - 9
Answer:
Null hypothesis: H0: The dictator's negative are equal to 70%.
Alternative hypothesis: Ha: The dictator's negative are less than 70%.
Step-by-step explanation:
The null hypothesis always contains equality sign and alternative hypothesis usually contains claim made by researcher. Here, in the given scenario, the political committee of a dictator wants to keep negatives below to 70%. So, the null hypothesis will be that the negative are equal to 70% while alternative hypothesis will be that the negative are less than 70%.
Thus, the hypotheses for the given scenario are
Null hypotheses: H0: The dictator's negative are equal to 70%.
Alternative hypotheses: Ha: The dictator's negative are less than 70%.
