Answer:
y + 2 = -2(x - 3)^2
Step-by-step explanation:
We can see immediately that the vertex is at (3, -2).
The vertex form of the equation of a parabola is
y - k = a(x - h)^2.
If the parabola opened upward, the equation would be y + 2 = 2(x - 3)^2. But seeing that this particular parabola opens downward, the equation is
y + 2 = -2(x - 3)^2.
Check: Does the point (2, -4) satisfy this equation?
-4 + 2 = -2(2 - 3)^2 becomes -2 = -2(-1)^2, which is true.
Answer:
ASA
Step-by-step explanation:
This is because the two triangles have two angles and a side that are equal to each other.
4 students went abroad. 32 divided by 8 is 4. If you take 1 group of the 8 that is 4 students going abroad
Answer:
a) 0.00698
b) 0.00127
c) 0.00249
d) (0.00449,0.00947)
Step-by-step explanation:
We are given the following in the question:
Number of people vaccinated, n = 4300
Number of subjects that developed illness after vaccination, x = 30
a) point estimate of the population proportion that were vaccinated with the vaccine but still developed the illness.
b) standard error of this estimate
c) margin of error for a 95% confidence interval
d) 95% confidence interval
Answer:
The values of x are x = -3 ,5 and
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the function
y = (x+3)⁴(x-5)⁷ ...(i)
Apply UV formula
Differentiating equation (i) with respective to 'x ', we get
<u><em>Step(ii):-</em></u>
Given that
=0
x = -3 and x=5 and 7x +21 +4x -20 =0
x = -3 and x=5 and