Answer:

Step-by-step explanation:
<u>Factored form of a parabola</u>

where:
- p and q are the x-intercepts.
- a is some constant.
Given x-intercepts:
Therefore:


To find a, substitute the given point (4, 8) into the equation and solve for a:




Therefore, the equation of the parabola in factored form is:

Expand so that the equation is in standard form:




Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = -
x + 4 ← is i slope- intercept form
with slope m = - 
Parallel lines have equal slopes, thus
y = -
x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = - 2 + c ⇒ c = 5 + 2 = 7
y = -
x + 7 ← equation of parallel line
Answer:
False
Step-by-step explanation:
A regular polygon may be defined as the polygon that have sides of equal length known as equilateral and angles made up of equal angles, known as equiangular.
The
of symmetry in a regular polygon is always equal to the number of sides of the polygon. For example, a regular pentagon have 5 sides, so the lines of symmetry of the regular pentagon is also 5, a square having 4 sides also has 4 lines of symmetry.
Based on the given scenario above wherein the quality control analyst just inspects the first 100 items produced that day in order to avoid staying after work, the sampling method that she used is the CONVENIENCE SAMPLING METHOD. Hope this helps.
Answer:
A: f(x)=2x^2 +12x +10
B: f(0) = 10
Step-by-step explanation:
<u>Part A</u>:
f(0) is a constant in the equation if the form is such that for x=0, all terms are zero except one of them. Standard form is one such form. This is the equation in standard form:
f(x) = 2x^2 +12x +10
__
<u>Part B</u>:
f(0) = 0 + 0 + 10
f(0) = 10