Answer:
x=-3
Step-by-step explanation:
Place like terms on the same side.
Keep in mind when a term is moved from its original position, it changes sign.
x+x=-3-3
2x=-6
x=-3
Eleven adult chaperones will be needed
Answer:
c = 42.5
Step-by-step explanation:
The legs of the triangle are a and b and the hypotenuse is c
Let a be the shorter leg
The hypotenuse is 5 more than the longest leg
c = b+5
The shortest leg is 20
a = 20
We can use the Pythagorean theorem
a^2 +b^2 = c^2
Substituting in what we know from above
20 ^2 + b^2 = (b+5)^2
FOIL (b+5)^2 = b^2 +5b+5b +25 = b^2+10b+25
400 + b^2 = b^2+10b+25
Subtract b^2 from both sides
400+b&2-b^2 = b^2 -b^2 +10b+25
400 = 10b+25
Subtract 25 from both sides
400-25 = 10b+25-25
375 = 10b
Divide by 10
375/10 = 10b/10
37.5 = b
But we want to find c
c=b+5
c = 37.5+5
c = 42.5
<span>Jerry is 8 years younger than Patricia, so:
(1): Jerry = Patricia - 8
Six years ago, Patricia was 3 times as old as Jerry was then, so:
(2): (Patricia - 6) = (Jerry - 6)*3
Putting equation 1 in to equation 2
(Patricia - 6) = (Patricia - 8 - 6)*3
Patricia - 6 = 3Patricia - 42
36 = 2Patricia
Patricia = 18
And so Jerry = 10</span>
The graph approaches 0 as x approaches infinity.
Step-by-step explanation:
The behavior of the graph is presented by the function;
f(x)= 3x/4-x
Forming a table to see the behavior,
x f(x)
1 1
2 3
3 9
4 infinity
5 -15
6 -9
7 -7
8 -6
This shows that as value of x approaches positive infinity, the value of f(x) approaches 0.
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Functions :brainly.com/question/11275875
Keywords : statements, behavior, function, graph
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