<em>Answer:</em>
<em>Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over </em>
<em>10 1
</em>
<em> (10
). Next, add the whole number to the left of the decimal.
</em>
<em>1 2
/10
</em>
<em>Reduce the fractional part of the mixed number.
</em>
<em>1 1
/5
</em>
<em>Reduce the fraction.
</em>
<em>6/
5
</em>
<em />
<em>Step-by-step explanation:</em>
<em />
Use the quadratic formula to find:
x
=
1
±
√
85
5
Explanation:
5
x
2
−
10
x
−
12
is of the form
a
x
2
+
b
x
+
c
with
a
=
5
,
b
=
−
10
and
c
=
−
12
This has discriminant
Δ
given by the formula:
Δ
=
b
2
−
4
a
c
=
(
−
10
)
2
−
(
4
×
5
×
−
12
)
=
100
+
240
=
340
=
2
2
⋅
85
This is positive, but not a perfect square, so the quadratic equation has a pair of irrational roots, given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
=
−
b
±
√
Δ
2
a
=
10
±
√
340
10
=
10
±
2
√
85
10
=
1
±
√
85
5
Answer: -1 and 4
Explanation: the others aren’t because they have variables in one and numbers in the other
Answer:
Step-by-step explanation:
Your answer
94.5 % - 106.5 %
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