Answer:
36°
Step-by-step explanation:
134° is the exterior angle of the triangle.
By the exterior angle theorm
134° = 98° + y
y = 134° - 98° = 36°
Answer:
<em>Bethany did not do better than Richie because her average score was less than his.</em>
Step-by-step explanation:
<u>Average Value</u>
The average or mean value of m successes out of n tries is given by:
![\displaystyle \bar x=\frac{m}{n}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbar%20x%3D%5Cfrac%7Bm%7D%7Bn%7D)
During a practice session playing basketball, Richie made m=12 free throws from n=15 attempts. His average score was:
![\displaystyle \bar x=\frac{12}{15}=0.8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbar%20x%3D%5Cfrac%7B12%7D%7B15%7D%3D0.8)
Bethany made 8 free throws for every 3 that she missed, this means she made 8 out of 11 attempts. Her average score was:
![\displaystyle \bar x=\frac{8}{11}=0.72](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbar%20x%3D%5Cfrac%7B8%7D%7B11%7D%3D0.72)
Bethany did not do better than Richie because her average score was less than his.
Suppose U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and Q = {3, 6, 9). What is Q"?
mario62 [17]
Answer:
![\{3, 6, 9\}](https://tex.z-dn.net/?f=%5C%7B3%2C%206%2C%209%5C%7D)
Step-by-step explanation:
U is the universal set, that is, a set that contains the universe of possible sets, which is formed by 10 elements in this. Q is a subset of U formed by three elements: 3, 6, 9. (
)
represents the complement of the complement of
. The complement of
is the subset of
formed by elements not contained in
. which simbolized by
. That is, 1, 2, 4, 5, 7, 8, 10.
The complement of
corresponds to the elements contained in
. Hence, the correct answer is
.
Answer:
I need points hygiene to get your attention and help me out and my friends house and was a little more fun and more fun
<span>The definition of quadratic function is given by:
</span>
![(1) \ f(x)=ax^{2}+bx+c \\ \\ where \ a, b, c \ are \ real \ values](https://tex.z-dn.net/?f=%281%29%20%5C%20f%28x%29%3Dax%5E%7B2%7D%2Bbx%2Bc%20%5C%5C%20%5C%5C%20where%20%5C%20a%2C%20b%2C%20c%20%5C%20are%20%5C%20real%20%5C%20values)
<span>
So the problem asks for two conditions:
<em>1. Write the quadratic function in factored form.
</em>
<em>2. The vertex has an x-coordinate of 3.</em>
Then the equation (1) must be written as follows:
</span>
![f(x)=(x-m)(x-n) \\ \\ where \ m \ and \ n \ are \ the \ roots](https://tex.z-dn.net/?f=f%28x%29%3D%28x-m%29%28x-n%29%20%5C%5C%20%5C%5C%20where%20%5C%20m%20%5C%20and%20%5C%20n%20%5C%20are%20%5C%20the%20%5C%20roots)
<span>
To satisfy the two conditions:
So we are free to choose the value of one root, say:
![m=1](https://tex.z-dn.net/?f=m%3D1)
Thus:
Finally,
the answer is:
![f(x)=(x-1)(x-5)](https://tex.z-dn.net/?f=f%28x%29%3D%28x-1%29%28x-5%29)
The graph of this function is shown in the figure below.</span>