Given:
The table of values of an exponential function.
To find:
The missing values in the exponential function.
Solution:
The general exponential function is defined as:
...(i)
Where, a is the initial value and b is the growth factor.
First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).
...(ii)
Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).
...(iii)
Dividing (iii) by (ii), we get


Putting
in (ii), we get



Putting
in (i), we get

The required exponential function for the given table of values is
. So, the missing values are 2 and x, where 2 is in the base and x is in the power.
Answer:
b is the answer
Step-by-step explanation:
x= -0.25 and 1.25
x = -0.5 and 1.5
x = 0 and 1
x = -0.375 and 1.625
Step-by-step explanation:
Given equation of the curve is

(i)
First equation 
Here y = 0
In x-axis the value of y = 0
The graph cuts the x-axis at(-0.25,0) and (1.25,0)
So, x= -0.25 and 1.25
(ii)

here y = 2
The line y= 2 cuts the curve at (-0.5,2) and (1.5,2)
So, x = -0.5 and 1.5
Given equation of the curve is

(i)


Here y = -1
The line y = -1 cuts the curve at (0,-1) and (1,-1)
So x = 0 and 1
(ii)

Here y = x+1
The line y -x =1 cuts the curve at (-0.375,0.5) and (1.625,2).
So x = -0.375 and 1.625
Answer:
1. f(x) = 4x -6
2. see the attachment
Step-by-step explanation:
1. The only two answer choices using "function notation" are the first two, which are of the form ...
f(x) = <some expression involving x>
The only one of these that can describe both points is the first one:
f(x) = 4x -6
f(3) = 4·3 -6 = 6
f(4) = 4·4 -6 = 10
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2. Slope is the ratio of rise to run. When it is zero, there is no rise for any amount of run: the line is horizontal. The appropriate choice is the graph that shows a horizontal line.
Answer:
He stayed for 99 days
Step-by-step explanation:
55% of 180 is 99