Four of the 7 students got a sticker, so you need to turn that into a percent. To do that, divide 7 by 4, which gives you .57. That means that 57% of students got a sticker.
Answer:
6 units down
Step-by-step explanation:
Transformation is the movement of a point from its original position to a new position. If an object is transformed, all the point making the object is also transformed. There are four different transformations: Reflection, dilation, translation and rotation.
If y = f(x), y = f(x) + k is a translation k units up if k > 0 and is a translation k units down if k < 0
Given that the parent function is an absolute value represented by:
y = |x|
Therefore comparing y = |xl - 6 with y = f(x) + k, k < 0, therefore this is a translation of 6 units down
Answer:
Point D
Step-by-step explanation:
AD and CD are a line
The intersection of two lines is a point
The two lines intersect at point D
Answer:
C
Step-by-step explanation:
We can use the factored form of the quadratic equation, given by:
![y=a(x-p)(x-q)](https://tex.z-dn.net/?f=y%3Da%28x-p%29%28x-q%29)
Where <em>a</em> is the leading coefficient and <em>p</em> and <em>q</em> are the zeros.
We have zeros <em>x</em> = -2 and <em>x</em> = 3. So, let <em>p</em> = -2 and <em>q</em> = 3:
![y=a(x+2)(x-3)](https://tex.z-dn.net/?f=y%3Da%28x%2B2%29%28x-3%29)
Next, we are given that our <em>y-</em>intercept is (0, -30).
In other words, when <em>x</em> = 0, <em>y</em> = -30. So:
![-30=a(0+2)(0-3)](https://tex.z-dn.net/?f=-30%3Da%280%2B2%29%280-3%29)
Solve for <em>a:</em>
<em />
<em />
<em />
Hence, our factored equation is:
![\displaystyle y=5(x+2)(x-3)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D5%28x%2B2%29%28x-3%29)
For the standard form, expand:
![y=5(x^2-3x+2x-6)](https://tex.z-dn.net/?f=y%3D5%28x%5E2-3x%2B2x-6%29)
Simplify:
![y=5(x^2-x-6)](https://tex.z-dn.net/?f=y%3D5%28x%5E2-x-6%29)
Distribute:
![y=5x^2-5x-30](https://tex.z-dn.net/?f=y%3D5x%5E2-5x-30)
Our answer is C.