Answer:
see explanation
Step-by-step explanation:
Given
y = x² - 2x - 8
To find the x- intercepts let y = 0 , that is
x² - 2x - 8 = 0 ← in standard form
(x - 4)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 2 = 0 ⇒ x = - 2
x- intercepts : x = - 2, x = 4
The x- coordinate of the vertex is mid way between the x- intercepts, that is
= 
= 
= 1
Substitute x = 1 into the equation for corresponding y- coordinate
y = 1² - 2(1) - 8 = 1 - 2 - 8 = - 9
vertex = (1, - 9 )
Answer:
response variable- time required for water to turn to ice
control group- second freezer
explanatory variable- new formula
Step-by-step explanation:
Answer:
[2, 5)
Step-by-step explanation:
The vertical extent of the function is its <em>range</em>. Here, that extent is from y=2 to y=5, except that y=5 is <em>not included</em> (indicated by the open circle on the graph). So, the range is ...
2 ≤ y < 5
In interval notation, we use a square bracket when the end point is included, and a curved parenthesis when it is not.
range: [2, 5)
Answer:
x = -7
Step-by-step explanation:
−30=5(x+1)
Divide each side by 5
-30/5=5/5(x+1)
-6 =x+1
Subtract 1 from each side
-6-1 = x+1-1
-7 =x
