Answer:
see explanation
Step-by-step explanation:
(1)
Given
g(r) = (r + 14)² - 49
To obtain the zeros, let g(r) = 0 , that is
(r + 14)² - 49 = 0 ( add 49 to both sides )
(r + 14)² = 49 ( take the square root of both sides )
r + 14 = ± 
= ± 7 ( subtract 14 from both sides )
r = - 14 ± 7, then
r = - 14 - 7 = - 21 ← smaller r
r = - 14 + 7 = - 7 ← larger r
(2)
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
g(r) = (r + 14)² - 49 ← is in vertex form
with vertex = (- 14, - 49 )
Answer: 888,000
Step-by-step explanation:
Base: 600 x 600 = 360,000
600 x 440 x 2 (there is 4 triangles and 2 makes 1 square. So there is 2 pairs so times 2)= 528,000
360,000 + 528,000= 888,000
10+4x+6y because 25-15 3+1 and 16-10
Answer:
y=sqrt((x+a)/-2b))
F=(5/9)C+32
Can't read the rest
Step-by-step explanation:
-2by^2=x+a
y^2=(x+a)/-2b
y=sqrt((x+a)/-2b))
F-32=(5/9)C
F=(5/9)C+32 (The actual Fahrenheit-Celcius formula)
NOTE: The other pictures cannot be opened.
Answer:
1. a) population of the town in 2024 = 8697
2.) the earthquake with a magnitude of 8 is a <u>100 times stronger</u> than an earthquake with a magnitude of 6.
Step-by-step explanation:
1) the population of a town was, 
in 2016.
a) Exponential growth model is given by 
where t is the time in years after 2016.
Year 2016 is when t = 0.
k = growth rate constant = 1.6% = 0.016
i) therefore the population of the town in 2024
= 
( to the nearest whole number)
2.) log (I 
M S) = magnitude of earthquake where I is the Intensity of the earthquake and S is the intensity of a standard earthquake
therefore I M S = 
therefore 
