Answer:
9.5
Step-by-step explanation:
Answer:
There are 10 integers between the given values
Step-by-step explanation:
We start by finding approximations of the two real values given that include square roots of non-perfect-square numbers:

then this point is located in between the integers 6 and 7 on the x-axis.

therefore, it is located between the integers 16 and 17 on the number line.
Then between
, and
, we have the following integers:
7, 8, 9, 10, 11, 12, 13, 14, 15, 16.
That is 10 integers
The equation to be solved is: 3 [ 2 ^ (2t - 5) ] - 4 = 10
The steps are:
1) transpose - 4=> 3 [ 2^ (2t - 5) ] = 10 + 4
2) Combine like terms => 3 [2^ (2t - 5) ] = 14
3) Divide both terms by 3 => 2^ (2t - 5) = 14 / 3
4) Take logarithms of both sides => (2t - 5) log (2) = log (14/3)
5) Divide both sides by log (2) =>
log (14/3)
2t - 5 = -------------------
log (2)
6) transpose - 5+>
log (14/3)
2t = ------------------- + 5 = 2.22 + 5
log (2)
2t = 7.22
7) divide both sides by 2 => t = 7.22 / 2 = 3.61
Answer:
x
+
y
=
2
, y
=
x
2
−
4
x
+
4
Replace all occurrences of
y
with x
2
−
4
x
+
4
in each equation.
x
2
−
3
x
+
4
=
2
y
=
x
2
−
4
x
+
4
Solve for
x
in the first equation.
x
=
2
,
1
y
=
x
2
−
4
x+
4
Replace all occurrences of
x with 2
in each equation.
y=0
x
=
2
Replace all occurrences of x
with 1
in each equation.
y
=
1
x
=
1
The solution to the system is the complete set of ordered pairs that are valid solutions.
(
2
,
0
)
(
1
,
1
)
The result can be shown in multiple forms.
Point Form:
(
2
,
0
)
,
(
1
,
1
)
Equation Form:
x=2
,
y
=
0
x
=
1
,
y
=
1
Step-by-step explanation:
Answer:
3 months
a quarter is a period of three months
Step-by-step explanation: