Apply the distributive property to factor out the greatest common factor. 18d+12 =18d+12=18, d, plus, 12, equals
2 answers:
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Answer:
Step-by-step explanation:
Function representing the bacterial growth has been given as,
a). Here 1200 represents the initial number of bacteria taken for the study (1).
b). 1.8 represents the growth factor by which the population of the bacteria is multiplying.
c). Second study is modeled by the function given as,
Here, initial population of bacteria = 1000
Difference in 1200 and 1000 in two studies means → Second study was conducted on 1000 bacteria while in study (1) number of bacteria were 1200.
Answer:
x -intercepts are x = -3 and x = 1
y-intercept at y = -3
The line of symmetry is x = -1
vertex is (h,k) = (-1,-4)
Step-by-step explanation:
Given a quadratic equations: h(x) = (x + 1)^2 - 4
The vertex for is :
h(x) = a(x - h)² + k
where,'h' is the axis of symmetry and (h,k) is the vertex.
So from the given equation we will rewrite the equation as:
h(x) = (x - (-1))^2 - 4
Hence,h = -1 and k = -4
The line of symmetry is x = -1 and vertex is (h,k) = (-1,-4)
Now, we have to find the x intercepts,
using the equation,
(x + 1)² = 4
Taking the square root on both sides,
√(x + 1)² = √4
x + 1 = ± 2
x = 1 or x = -3
So x -intercepts are x = -3 and x = 1
For y-intercept put x = 0 into the real equation:
h(x) = (0 +1)^2 - 4
y = 1 - 4
y = -3
So y-intercept at y = -3
Here with I have attached the graph.
Thank you.
