X^2+14x
To make it as perfect square binomial first divide the numerical coefficient of 14 by 2 which is 7. Then square the result[7] which is 49 and add it to the equation
x^2+14x+49
After that think of a number that has a square root of 49 then when u multiply the second term in the perfect square by the first and 2 it results to 14. So the answer is
[x+7]^2
Answer:
an=8n−14
Step-by-step explanation:
for an AP
where
a
1
=
the first term
d
=
the common difference
then we have
a
1
,
(
a
1
+
d
)
,
(
a
1
+
2
d
)
,
...
,
a
1
+
(
(
n
−
1
)
d
)
,
.
.
we are given the third term
10
=
a
1
+
2
d
−
−
(
1
)
and the fifth term
26
=
a
1
+
4
d
−
−
(
2
)
subtract
(
2
)
−
(
1
)
16
=
2
d
⇒
d
=
8
sub into
(
1
)
10
=
a
1
+
2
×
8
⇒
a
1
=
−
6
so the nth term
a
n
=
a
+
(
n
−
1
)
will be
a
n
=
−
6
+
8
(
n
−
1
)
a
n
=
8
n
−
14
Answer:
($47.245; $61.575)
Step-by-step explanation:
Mean sample repair cost (X) = $54.41
Standard deviation (s) = $28.89
Sample size (n) =44
Z-score for a 90% confidence interval (z) = 1.645
The confidence interval, assuming a normal distribution, is given by:
Applying the given data, the lower (L) and upper (U) bounds of the interval are:
The confidence interval is I = ($47.245; $61.575)
Answer:
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Answer:
45/16
Answer:
<u>Yes they are equivalent.</u>
Step-by-step explanation:
Use PEMDAS: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction
Distribute or multiply -3 with 2p and 4 to get -6p and -12.
You will then have 18-6p-12-3p, simplify to get 6-9p
For the second equation multiply 3 with 2 and -3p, you will then get 6-9p as well.
They are equal, hope the helps ;)
