Answer:
Equation 1 is the equation which represents the graph.
Step-by-step explanation:
168 inches.
Each foot equals 12 inches so multiplying by 14 will give you 168
Answer:
Since
x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
x
2
−
2
x
+
3
=
G
(
x
)
Multiply
G
by
x
.
x
2
−
2
x
+
3
=
G
x
Subtract
G
x
from both sides of the equation.
x
2
−
2
x
+
3
−
G
x
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
1
,
b
=
−
2
−
G
, and
c
=
3
into the quadratic formula and solve for
x
.
−
(
−
2
−
G
)
±
√
(
−
2
−
G
)
2
−
4
⋅
(
1
⋅
3
)
2
⋅
1
Simplify.
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x
=
2
+
G
±
√
G
2
+
4
G
−
8
2
The final answer is the combination of both solutions.
x
=
2
+
G
+
√
G
2
+
4
G
−
8
2
x
=
2
+
G
−
√
G
2
+
4
G
−
8
2
Step-by-step explanation:
I believe it is a chemical transfer
Answer:
- 24 ounces of solution B
- 16 ounces of solution A
Step-by-step explanation:
The largest contributor of salt to the mix is the 45% solution (B), so we'll let our variable (b) represent the quantity of that. The total amount desired is 40 ounces, so the quantity of solution A is (40-b) ounces. Then the amount of salt in the mix is ...
0.45b +0.20(40-b) = 0.35(40)
Simplifying and subtracting 0.20(40), we get ...
0.25b = 0.15(40)
b = 40(.15/.25) = 24
(40-b) = 16
The scientist should use 24 ounces of Solution B and 16 ounces of Solution A.