B
given f(x) in factored form, equate to zero for x-intercepts
(x - 8)(x - 4) = 0, hence
x = 4, x = 8 ← x- intercepts
The vertex lies on the axis of symmetry which is situated at the midpoint of the x- intercepts
x- coordinate of vertex = = 6
f(6) = (6 - 8 )(6 - 4 ) = -2 × 2 = - 4 ← y-coordinate
vertex = (6, - 4 ) → B
The second matrix represents the triangle dilated by a scale factor of 3.
Step-by-step explanation:
Step 1:
To calculate the scale factor for any dilation, we divide the coordinates after dilation by the same coordinated before dilation.
The coordinates of a vertice are represented in the column of the matrix. Since there are three vertices, there are 2 rows with 3 columns. The order of the matrices is 2 × 3.
Step 2:
If we form a matrix with the vertices (-2,0), (1,5), and (4,-8), we get
The scale factor is 3, so if we multiply the above matrix with 3 throughout, we will get the matrix that represents the vertices of the triangle after dilation.
Step 3:
The matrix that represents the triangle after dilation is given by
This is the second option.
Answer: A. y = 16 x
B. 8 days
Step-by-step explanation:
A) Here, 16 Fluid ounces of milk is used for breakfast every morning.
In one day the consumption of milk = 16 fluid ounces
In x days the consumption of milk = 16 x fluid ounces
Thus, if y be the total milk in ounces that is used in x days,
The required function,
y = 16 x
B) In 1 day, consumption of milk = 16 ounces
⇒
⇒
⇒
Since, 128 ounces = 1 gallon
⇒
In 8 days, 1 gallon of milk will consumed.
