11,15,19,23
an = 11 + 4(n-1)
an = 11 + 4n - 4
an = 4n + 7
Answer:
480 people were unemployed full time
Step-by-step explanation:
First thing to do here is to check the percentage of people that were unemployed full time
Looking at the graph, this is equal to 60%
This means that 60% of the total 800 are unemployed full time
Mathematically, that would be 60/100 * 800 = 480 people
Using translation concepts, it is found that the equation that represents the graph of g(x) is:
![g(x) = \sqrt[3]{x + 2}](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) is a shift left of 2 units of f(x), hence:
More can be learned about translation concepts at brainly.com/question/4521517
#SPJ1
<h3>
Answer: -2/3</h3>
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Work Shown:
Use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (-3 - 5)/(5 - (-7))
m = (-3 - 5)/(5 + 7)
m = (-8)/(12)
m = -2/3
The distance from any point P (x,y) on the parabola to the focus = the distance of this point from the directrix.
distance between P to focus:-
= sqrt ( x - 2)^2 + (y - 5))^2
distance from the point to directrix = ( 9 - y)
so sqrt( x - 2)^2 + (y-5)^2 = 9 -y
(x - 2)^2+ (y - 5)^2 = (9-y)^2
x^2 -4x + 4 + y^2 - 10y + 25 = 81 - 18y + y^2
x^2 - 4x + 4 +25 - 81 = -18y + 10y
-8y = x^2 - 4x -52
y = (-1/8)^2 + 1/2 x + 6 1/2 is the required equation
