I require some assistance with this graphing question, please.
2 answers:
Answer:
y-int = 5
roots: sqrt(5)-3 or -3 - sqrt(5)
TP @ (-3,5)
Step-by-step explanation:
y intercept = 5 (when x = 0)
Roots:
When y = 0
5 - (x + 3)^2 = 0
(x+3)^2 = 5
Square both sides:
x + 3 = Sqrt[5] or x + 3 = - Sqrt[5]
x = Sqrt[5] - 3 or x= - 3 - Sqrt[5]
Turning point (Critical Point):
dy/dx (5-(x+3)^2) = - 2 (x+3)
Solve -2 (x+3) = 0
x = - 3
y = 5
Max point at (-3,5)
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The slope of the line passing through (1 , 0) and (3 , 8) is 4.
Slope, commonly represented by the letter m, is a value that describes the steepness and direction of a line. The slope of a line is also called its gradient or rate of change.
It is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points, and
, to calculate the change in y over the change in x.
where
Substituting the values,
Hence, he slope of the line passing through (1 , 0) and (3 , 8) is 4.
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Answer:
96 people.
Step-by-step explanation:
Exponential equation for a decreasing amount:
The exponential equation for a decreasing amount is given by:
In which A(0) is the initial rate and r is the decay rate, as a decimal.
Currently, the number of people entering a shopping mall is 109.
This means that
It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.
This means that
So
Find the total number of people entering the shopping mall at the end of 4 hours.
This is A(4). So
Rounding to the nearest whole number, 96 people.
Answer:
n = 6
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = , then
sin30° = =
=
( cross- multiply )
2n = 12 ( divide both sides by 2 )
n = 6