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:The equivalent expression of the given terms is 13p
Use quadratic formula since we can't factor
for 0=ax²+bx+c

so, for
0=1x²-6x-4
a=1
b=-6
c=-4





the solutions are x=3+√13 and x=3-√13
or aprox
x≈6.61 and x≈-0.61
If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the y-axis, it has an equation of (x - h)^2<span> = 4p(y - k)</span><span>, where the </span>focus<span> is (h, k+p) and the </span>directrix<span> is y = k - p. So, we need to determine the values from the equation.
</span><span>y=1/28(x-4)^2-5
</span>(x-4)^2 = 28(y+5)<span>
(h,k) = (4, -5)
p = 7
focus= </span>(h, k+p) = 4,2
directrix = y = k - p = -12
Hope this answers the question.
Answer :-
- loss = <em> </em><em>100</em><em>0</em><em>$</em><em> </em>
- 4000
Step by step explanation :-
1#
Profit on 3000 bags of white cement sold = 3000 × 8 = 24000
loss on 5000 bags of grey cement sold = 5000 × 5 = 25000
<u>Alternatively</u><u>:</u><u> </u>
- Net loss = ( 25000 - 24000 ) = 1000$
- profit/ loss = $ [3000 × 8 - 5000 × 5 ]
- $ [24000 - 25000]
- -1000$
<em>As</em><em> </em><em>the</em><em> </em><em>result</em><em> </em><em>of</em><em> </em><em>transaction</em><em> </em><em>is</em><em> </em><em>negative</em><em>/</em><em> </em><em>loss</em><em> </em>
2#
- Loss on the scale of 6400 grey bags = 6400 × 5 = 32,000
<em>In</em><em> </em><em>order</em><em> </em><em>to</em><em> </em><em>have</em><em> </em><em>no</em><em> </em><em>profit</em><em>, </em><em> </em><em>profit from the </em><em>Cello </em><em>white cement should be 32</em><em>0</em><em>0</em><em>0</em><em>.</em><em> </em>
- Number of white cement bags to be sold = 32000 / 8 = 4000
<em>4000 why cement bags and 6400</em><em> </em><em>grey</em><em> </em><em>cement</em><em> </em><em> </em><em>bags</em><em> </em><em>are sold in order to have no profit and </em><em>n</em><em>o</em><em> </em><em>loss </em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>~</em>