Answer:
-6
Step-by-step explanation:
-6/b-50=-49
step1;collect like terms
-6/b=-49+50
-6/b=1
step2;cross multiply
-6/b=1
-6=1b(1b can also be regarded as b)
b=-6
Subtract
6
6
from both sides of the equation.
x
2
−
7
x
=
−
6
x
2
-
7
x
=
-
6
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
b
.
(
b
2
)
2
=
(
−
7
2
)
2
(
b
2
)
2
=
(
-
7
2
)
2
Add the term to each side of the equation.
x
2
−
7
x
+
(
−
7
2
)
2
=
−
6
+
(
−
7
2
)
2
x
2
-
7
x
+
(
-
7
2
)
2
=
-
6
+
(
-
7
2
)
2
Simplify the equation.
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x
2
−
7
x
+
49
4
=
25
4
x
2
-
7
x
+
49
4
=
25
4
Factor the perfect trinomial square into
(
x
−
7
2
)
2
(
x
-
7
2
)
2
.
(
x
−
7
2
)
2
=
25
4
(
x
-
7
2
)
2
=
25
4
Solve the equation for
x
x
.
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x
=
6
,
1
Answer:
Verdadero
Step-by-step explanation:
Answer:
The box is 5 inches tall
Step-by-step explanation:
The given dimensions of the video games are;
The length of the video game, L = 15 inches
The width of the video game, W = 10 inches
The volume of the video game box, V = 750 cubic inches
Assuming that the shape of the video game box is a cuboid, we have;
The formula for the volume of a cuboid, V = Length, L × Width, W × Height, H
∴ V = L × W × H
The height of the cuboid, H = V/(L × W)...(1)
Where, for the video game box;
L = Length = 15 in.
W = Width = 10 in.
V = Volume = 750 in.³
Plugging in the values of the variables in equation (1) gives;
H = V/(L × W) = 750 in.³/(15 in. × 10 in.) = 5 in.
The height of the box, H = 5 inches.
Answer:
x=-2.5
Step-by-step explanation:
3x-12+7=5x
-5=2x
-2.5=x
