Mathematics, 07.04.2021 04:10 ella3714
Ryan, Jesse, and Mark each solved this system of equations. All of their answers are different. Find and explain the mistakes. What is the correct answer?
−
x
=
−
y
+
2
3
y
+
4
=
2
x
Ryan’s
I solved by adding the equations. The solution is
(
2
,
0
)
.
−
x
=
−
y
+
2
→
x
−
y
=
2
3
y
+
4
=
2
x
→
2
x
−
3
y
=
4
x
=
2
x
−
y
=
2
→
2
−
y
=
2
y
=
0
Jesse’s
I used matrices. The solution is
(
−
2
5
,
0
)
.
system determinant
=
[
−1 1 −2 3
]
=
−
3
−
2
=
−
5
x
-determinant
=
[
2 1 −4 3
]
=
6
−
4
=
2
y
-determinant
=
[
−1 2 −2 −4
]
=
4
−
4
=
0
x
=
−
2
5
y
=
0
Mark’s
I graphed the equations. The lines intersect at
(
−
10
,
−
8
)
, so the solution is
(
−
10
,
−
8
)
.
Answers: 1
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Crickets can jump with a vertical velocity of up to 14 ft/s. which equation models the height of such a jump, in feet, after t seconds? h(t) = –16t2 + v0t + h0 h(t) = –16t2 + v0t + 14 h(t) = –16t2 + 14t h(t) = –16t2 + 14t + 14 what is the maximum height the cricket reaches? round to the nearest thousandth. h = feet
Answers: 1
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