F(x) = x² - 4x -5, factored is simply f(x) = (x - 5)(x + 1).
if you zero out f(x), namely 0=(x-5)(x+1), that simply gives you the zeros of 5 and -1.
now, from ----- -1------0---------------------------------5, notice from -1 to 5, there are 6 units, and half of 6 is 3, so, the half-way is 3 units away from either zero.
so we can get to the half-way point by -1 + 3, or 2, x = 2, that's where the vertex is at, but you already knew that, and of course the y-coordinate is at f(2) = (2)² - 4(2) - 5, which is -9, so the vertex is indeed at (2, -9).
now to draw it, well, surely you can, simply use the zeros location, -1 and 5, and draw a bowl between them, with the bottom of the bowl at 2, -9.
Answer:
y=x-9 m=1 b= -9
Step-by-step explanation:
2x-2y=18
-2x -2x
-2y= -2x +18
-2y/-2= -2x/-2 + 18/-2
y= x-9
y=mx+b so m=1 and b=-9
Answer:
7 & 12
Step-by-step explanation:
7²=49
12²=144
144+49=193
12-7=5
Answer:
The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be:
c). Reject H0 if test statistic is greater than 1.895.
Step-by-step explanation:
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
The degrees of freedom are given by:
The p value for this case can be calculated from this probability:
The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be:
c). Reject H0 if test statistic is greater than 1.895.
Answer:Thy answer is choice 3
Step-by-step explanation: