Answer:
Vertex is (-3,2)
Step-by-step explanation:
The vertex is either the absolute minimum or maximum of a function, depending on how the function opens.
In this case, since this absolute value function opens upward, the vertex is the absolute minimum of the function, which is found at (-3,2).
Therefore, the vertex of the absolute value graph is (-3,2).
Answer:
-2, -4, -3 + 2i, -3-2i
Step-by-step explanation:
Equaling the function to zero we have:
(x ^ 2 + 6x + 8) (x ^ 2 + 6x + 13) = 0
For the first parenthesis we have:
(x ^ 2 + 6x + 8) = 0\\(x + 4) (x + 2) = 0
Therefore the roots are:
x = - 4\\x = - 2
For the second parenthesis we have:
(x ^ 2 + 6x + 13) = 0
By completing squares we have:
x ^ 2 + 6x = -13
x ^ 2 + 6x + (\frac{6}{2}) ^ 2 = -13 + (\frac{6}{2}) ^ 2\\x ^ 2 + 6x + 9 = -13 + 9\\(x + 3) ^ 2 = - 4\\x + 3 = +/- \sqrt{-4}
Therefore the roots are:
x = -3 + 2i\\x = -3 - 2i
Hope this was helpful
From the table given
17 people have managed care plan
9 have Traditional insurance
6 have no insurance
The probability of an event happening is given as the ratio of the number of the possible outcome divided by the total outcome.
If two balls are taken, the probability that at least one has traditional insurance
TN or TM or TT or NT or MT
where T is for traditional insurance
N is for no insurance
M is for managed insurance
the probability that at least one of two people picked without replacement has traditional insurance
= 9/32 * 6/31 + 9/32 * 17/31 + 9/32 * 8/31 + 6/32 * 9/31 + 17/32 * 9/31
= (54 + 153 + 72 + 54 + 153)/992
= 486/992
= 243/496
Answer:
42
Step-by-step explanation:
f(-5) = -9 × (-5) - 3 = 45 - 3 = 42
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)
Answer:
A
Step-by-step explanation:
square root of 73 is about 8.5
square root of 10 is about 3. multiply by 3, you get 9.
square root of 7 is about 2.6. multiply by 5, you get 13.
when determining if you can make a triangle, if all variants of two sides can add up to be greater than the third side, you can make the triangle. so 8.5+9 > 13; 13+9 > 8.5; 13+8.5 > 9. this means it can make a triangle and all you have to do is order the sides.
8.5 is smallest which corresponds to angle c because it's opposite. 9 goes to angle a, then finally 13 goes to angle b. thus, angles c, a, b is the order.
side note: the smallest side length will always correspond with the smallest angle.
hope this helps :)
