Answer:
- The square root and quadratic function share a y-intercept.
- The range of the square root and absolute value function are the same.
Step-by-step explanation:
Y-intercepts are the same when the curves meet the y-axis at the same point. That is true of the root and quadratic functions.
X-intercepts are the same when the curves meet the x-axis at the same point. None of these functions share an x-intercept.
The ranges of the functions are the same when they have the same vertical extent. The range of the quadratic is different from the range of the other two functions.
The absolute value and root functions have the same minimum (lower end of their range). That is the same as the maximum of the quadratic function.
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The statements that match the graphs are ...
- The square root and quadratic function share a y-intercept.
- The range of the square root and absolute value function are the same.
The present age of Jane is 45 years old and present age of her sister is 9 years old
<em><u>Solution:</u></em>
Let the present age of Jane be "x"
Let the present age of her sister be "y"
<em><u>Jane is 5 times older than her sister</u></em>
present age of Jane = 5(present age of her sister)
x = 5y ---------- eqn 1
<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>
Age of sister after 3 years = 3 + y
Age of jane after 3 years = 3 + x
Age of sister after 3 years = 1/4(age of jane after 3 years)

Substitute eqn 1 in above equation

Substitute y = 9 in eqn 1
x = 5(9)
x = 45
Thus present age of Jane is 45 years old and present age of her sister is 9 years old
Answer:
x = <u>3</u><u>b</u>
2c
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
The first four terms of the series are

= 14.25
Step-by-step explanation:
We know that
Sum of convergent series is also a convergent series.
We know that,

If the common ratio of a sequence |r| <1 then it is a convergent series.
The sum of the series is 
Given series,


The first four terms of the series are

Let
and 
Now for
,


It is a geometric series.
The common ratio of
is
The sum of the series



=10.5
Now for 


It is a geometric series.
The common ratio of
is
The sum of the series



=3.75
The sum of the series is 
= 
=10.5+3.75
=14.25
Answer:
812 miles
Step-by-step explanation:
the answer is 812 miles