Answer: x= -2/3
Step-by-step explanation: 0= -3x-2
Move the variable to the left and then divide both sides 3x=-2
Answer:
to the right of x = 2 the function is increasing
{ x | x > 2}
Step-by-step explanation:
Recall that this is a quadratic function, and therefore responds to the shape of a parabola. In this case is also a parabola with branches opening up since the coefficient of the square term is positive. So, we just need to find where the vertex is located, and we know that to the left of the x-value of the vertex the function is decreasing, and to the right of it the function is increasing.
The formula for the x of the vertex of a parabola of the form:
![y=ax^2+bx+c](https://tex.z-dn.net/?f=y%3Dax%5E2%2Bbx%2Bc)
is ![x_{vertex}=\frac{-b}{2\,a}](https://tex.z-dn.net/?f=x_%7Bvertex%7D%3D%5Cfrac%7B-b%7D%7B2%5C%2Ca%7D)
which in our case gives:
![x_{vertex}=\frac{-b}{2\,a} =\frac{4}{2} =2](https://tex.z-dn.net/?f=x_%7Bvertex%7D%3D%5Cfrac%7B-b%7D%7B2%5C%2Ca%7D%20%3D%5Cfrac%7B4%7D%7B2%7D%20%3D2)
Therefore, to the left of x = 2 the function decreases , and to the right of x = 2 the function is increasing.
3 prefer pop:4 prefer rock
3/4 prefer pop
(3/4)of 14=0.75*14=10.5 people/14people
around 11 people would prefer pop out of 14
Answer:
70 - 25 ÷ 3
Step-by-step explanation:
Yeah it doesn't really need an explanation because I just did the work for you lol.
Plz click the Thanks button!
<Jayla>
Answer:
The rental cost for each movie = 1.5 $
The rental cost for each video game = 6.5 $
Explanation:
Let the rental cost for movie be a and video game be b.
One month Diane rented 2 movies and 12 video games for a total of $81
2 a + 12 b = 81 $ -------------------------Equation 1
The next month she rented 5 movies and 3 video games for a total of $27
5 a + 3 b = 27 $ -------------------------Equation 2
Equation 2 x 4,
20 a + 12 b = 108 $ -------------------------Equation 3
Equation 3 - Equation 1,
20 a + 12 b - ( 2 a + 12 b ) = 108 - 81
18 a = 27
a = 1.5 $
Substituting in equation 1
2 x 1.5 + 12 b = 81
12 b = 81 - 3
b = 6.5 $
The rental cost for each movie = 1.5 $
The rental cost for each video game = 6.5 $