Answer:
Adults =58, Students=92
Step-by-step explanation:
X=2 Y=-1 plug them into the equation
-3(2)^2 + 2(-1)^2 + 5(2)(-1) -2(-1) + 5(2)^2 -3(-1)^2
36+4-10+2+100+9
40-10+2+100+9
30+2+100+9
132+9
141
Answer:
Part 1)
-----> 
Part 2)
------> 
Part 3)
-----> 
Part 4)
-----> 
Part 5)
------> 
Step-by-step explanation:
Part 1) we have

To calculate the subtraction convert the mixed numbers to an improper fractions



substitute

Convert to mixed number

Part 2) we have

To calculate the subtraction eliminate the parenthesis first

Part 3) we have

To calculate the subtraction convert the mixed numbers to an improper fractions



substitute

Eliminate the parenthesis

Convert to mixed number

Part 4) we have

To calculate the subtraction eliminate the parenthesis first

Part 5) we have

To calculate the subtraction convert the mixed numbers to an improper fractions



substitute

Eliminate the parenthesis

F = 1.8C + 32
F = 1.8(100) + 32
F = 180 + 32
F = 212 degrees
Answer:
f
(
x
)
=
3
x
3
−
5
x
2
−
47
x
−
15
Explanation:
If the zero is c, the factor is (x-c).
So for zeros of
−
3
,
−
1
3
,
5
, the factors are
(
x
+
3
)
(
x
+
1
3
)
(
x
−
5
)
Let's take a look at the factor
(
x
+
1
3
)
. Using the factor in this form will not result in integer coefficients because
1
3
is not an integer.
Move the
3
in front of the x and leave the
1
in place:
(
3
x
+
1
)
.
When set equal to zero and solved, both
(
x
+
1
3
)
=
0
and
(
3
x
+
1
)
=
0
result in
x
=
−
1
3
.
f
(
x
)
=
(
x
+
3
)
(
3
x
+
1
)
(
x
−
5
)
Multiply the first two factors.
f
(
x
)
=
(
3
x
2
+
10
x
+
3
)
(
x
−
5
)
Multiply/distribute again.
f
(
x
)
=
3
x
3
+
10
x
2
+
3
x
−
15
x
2
−
50
x
−
15
Combine like terms.
f
(
x
)
=
3
x
3
−
5
x
2
−
47
x
−
15