Step 1: Simplify both sides of the equation.
37
=
−
3
+
5
(
x
+
6
)
37
=
−
3
+
(
5
)
(
x
)
+
(
5
)
(
6
)
(Distribute)
37
=
−
3
+
5
x
+
30
37
=
(
5
x
)
+
(
−
3
+
30
)
(Combine Like Terms)
37
=
5
x
+
27
37
=
5
x
+
27
Step 2: Flip the equation.
5
x
+
27
=
37
Step 3: Subtract 27 from both sides.
5
x
+
27
−
27
=
37
−
27
5
x
=
10
Step 4: Divide both sides by 5.
5
x
5
=
10
5
x
=
2
The vertex is (-1,1)
Explanation
The vertex formula to find the x coordinate of the formula is -b/2a
So we plug in the values into the formula which is
-4/2(2)
Simplify it
-4/4
=-1
-1 is now the x cord of the vertex.
So now we will plug in the x into the quadratic equation which is 2x^2+4x+3
2(-1)^2 + 4(-1) + 3 = 2 -4 +3
Simplify it
5 - 4= 1
Y=1
So the Coordinates of the vertex is (-1,1)
2 miles is bigger because 3 kilometers is 1.86 miles when converted to miles.
Step-by-step explanation:
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Answer:
A would be the correct answer. I took this
Step-by-step explanation:
