Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many
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The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value x = 3 , y = 8 .
<h3>What is a Equation ?</h3>An Equation is a mathematical statement which relates two algebraic expression with an equal sign in between.
The equations given in the question is
y = 2ˣ
This is an exponential function
-7x +3y = 3
This is a linear function
The equations have been plotted and the solution to the non linear system of equation has been determined
The point at which the graphs intersect is the solution to the system of non -linear equations.
(0,1) and (3,8)
x = 0 , y = 1 ; x = 3 , y = 8
The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value x = 3 , y = 8 .
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<h2>Answer:</h2>
<em><u>(a). 110</u></em>
<em><u>(b). 95 </u></em>
<em><u>(c). 2</u></em>
<h2>Step-by-step explanation:</h2>In the question,
Number of students who played Basketball = 99
Number of students who played Volleyball = 9
Number of students who played Soccer = 10
Number of students who played Basketball and Soccer only = 1
Number of students who played Volleyball and Soccer only = 2
Number of students who played Basketball and Volleyball only = 1
Number of students who played Basketball, Volleyball and Soccer only = 2
So,
We can see from the <u>Venn diagram</u> shown below,
Number of students who played only Basketball = 99 - (1 + 2 + 1) = 95
Number of students who played only Volleyball = 9 - (1 + 2 + 2) = 4
Number of students who played only Soccer = 10 - (1 + 2 + 2) = 5
(a).
Number of students who played atleast one of three sports = Sum of all the sections in the Venn Diagram
= (95 + 1 + 2 + 1) + (4 + 2) + 5 = 110
(b).
Students who played Basketball only = 95
(c).
Number of students who play Volleyball and Soccer but not Basketball = 2