A function is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.
<h3>What is a function?</h3>
A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given function f(x) = |x| - 5 after transaltion of the graph by 2 units left will become g(x) = |x+2| - 5.
The graph of the function is attached with the answer below. In which both functions are graphed.
Therefore, afunction is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.
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42 acres to 72 acres, there is an increase of 30 acres
percentage wise
72-42=30
30/72=.4166...
therefore there is also a 41.6% increase
Given:
A line has a slope = -9
The line passing through the point (-4 , -2)
the general form of the equation of the line in point - slope form is :
Where: m is the slope, and ( h,k) is the point
So,
So, the equation of the line will be:
The answer is option C. y + 2 = -9 ( x + 4 )
Answer:
x = 374/7
Step-by-step explanation:
all of the angles should equal to 360 degrees since it's a quadrilateral.
So,
1+ (2x+10)+(3x-5)+(2x-20) = 360
1+ 2x+10 +3x-5+2x-20 = 360
7x -14 =360
7x = 360+14
7x = 374
x= 374/7
x= 53.428...
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Answer:
P(A ⋃ B)=0.272
Step-by-step explanation:
A = the event that a random household is prosperous and
B = the event that it is educated.
From the survey, we are given:
- P(A) = 0.138
- P(B) = 0.216
- P(A ⋂ B) = 0.082
We want to determine the probability P(A ⋃ B) that the household selected is either prosperous or educated.
In Probability Theory:
P(A ⋃ B)=P(A)+P(B)-P(A ⋂ B)
P(A ⋃ B)=0.138+0.216-0.082
P(A ⋃ B)=0.272
The probability P(A ⋃ B) that the household selected is either prosperous or educated is 0.272
