The answer to this question would be the second option “10m + 5 > 100” because 10 a month so (10m) then he purchases 5 extra per month so + 5 then his total collection is MORE so greater than 100 games so > 100 so the outcome is “10m + 5 > 100”
we have

<u>Statements</u>
<u>case A)</u> The graph is a straight line.
The statement is True
Because, this is a linear equation (see the attached figure)
<u>case B)</u> The line passes through the origin.
The statement is False
Because the point
is not a solution of the equation
Verify
Substitute the value of x and y in the equation

------> is not true
the point
is not a solution
therefore
The line does not pass through the origin
<u>case C)</u> The line passes through the point 
The statement is True
Because the point
is a solution of the equation
Verify
Substitute the value of x and y in the equation

------> is true
the point
is a solution
therefore
The line passes through the point 
<u>case D) </u>The slope of the line is 
The statement is False
Because, the slope of the line is 
<u>case E)</u> The y-intercept of the line is 
The statement is False
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For 
find the value of y

the y-intercept is equal to 
We know that
X²+y²=9 -------> X²+y²=3²
is the equation of a circle with center (0,0) and radius r=3 units
so
<span>the translation of four units to the right and three units down is equals to move the center (0,0)--------> (0+4,0-3)------> (4.-3)
the new center of the circle is (4,-3)
the new equation is
(x-4)</span>²+(y+3)²=3²
see the attached figure
Answer:
8463/32=264 15/32
Step-by-step explanation:
Let's make every fraction improper first.
7 3/4=31/4
5 2/8=42/8
6 1/2=13/2
Simplify 42/8
42/8=21/4
21/4
31/4
13/2=26/4
21/14*31/4*26/4=(21*31*26)/64=16926/64=8463/32
Answer:
529
Step-by-step explanation: