1 Simplify
1
5
x
5
1
x to
x
5
5
x
.
−
x
5
−
1
8
=
2
−
5
x
−18=2
2 Add
1
8
18 to both sides.
−
x
5
=
2
+
1
8
−
5
x
=2+18
3 Simplify
2
+
1
8
2+18 to
2
0
20.
−
x
5
=
2
0
−
5
x
=20
4 Multiply both sides by
5
5.
−
x
=
2
0
×
5
−x=20×5
5 Simplify
2
0
×
5
20×5 to
1
0
0
100.
−
x
=
1
0
0
−x=100
6 Multiply both sides by
−
1
−1.
x
=
−
1
0
0
x=−100
Answer:
D. 3 and -4
Step-by-step explanation:
Given the expression, x² - x - 12, let's factorise to find the value of p and q using the table, for which we would have the expression simplified as (x + p)(x + q)
From the table, let's find the values of p and q that would give us -12 when multiplied together, and would also give us -1 when summed together.
Thus, from the table given, the row containing the values of p(3) and q(-4) gives us = -1 (p+q) . p = 3, q = -4 would be our values to use to factor x² - x - 12, as multiplying both will also give us "-12".
Thus, x² - x - 12 would be factorised or simplified as (x + 3)(x - 4)
Therefore, the answer is: D. 3 and -4
Answer:
RX = 12 and XU = 6
Step-by-step explanation:
Given : In ΔTRV , TW ,RU and VS are the medians .
X is the centroid
To Find : RX and XU
Solution:
Since we know that the centroid divides each median in a ratio of 2:1.
Since X is the centroid so RX : XU = 2:1
So, let RX = 2x and XU = x
And we are given that RU = 18
⇒RX +XU=18
⇒2x+x=18
⇒3x=18
⇒
⇒
Thus, RX = 2x = 2*6 =12
XU = x =6
Hence length of RX = 12 and XU = 6
Answer:
a
mean variance
b
The binomial random variable x fall into this interval ranges from
- 5 to 5
c
Step-by-step explanation:
From the question we are told that
The sample size is
The percentage that look for gas stations and food outlets that are close to or visible from the highway is
Generally the mean is mathematically represented as
=>
=>
The variance is mathematically represented as
=>
=>
The standard deviation is mathematically evaluated as
The interval is evaluated as
=>
=>
=>
The binomial random variable x fall into this interval ranges from
- 5 to 5
Generally
From the z-table
And
=>
=>