Answer:
Sol: In this question, firstly we have to make the first bracket as a complete square of the second bracket. This we can by adding 2.x.1/x which is equivalent to 2. Then the equation becomes:
6(x2 + 1/x2 +2) – 5(x + 1/x) = 50 { 38 + 6*2)
⇒ 6(x2 + 1/x2 +2) – 5(x + 1/x) – 50 = 0
Now put x + 1/x = y
⇒ 6y2 -5y -50 = 0
⇒ (2y +5)(3y-10)= 0
⇒ y=-5/2 or 10/3
As x is positive therefore, x + 1/x =10/3
On solving further you will get as x=3 or 1/3
Answer:
19
Step-by-step explanation:
Given :
Stem Leaves
2 | 6, 7, 7
3 | 0, 2, 3, 3, 4.
4 | 0, 5
To Find: What is the range of the data in this stem-and-leaf plot?
Solution :
Since we are given key 3 vertical line 0 equals 30.
So, in the given stem leaf plot the number are :
26,27,27,30,32,33,33,34,40,45
Now Range = maximum number - minimum number
Range = 45-26
Range = 19
Hence The range of the data in this stem-and-leaf plot is 19
Answer:
Step-by-step explanation:
So Blakes sleep 8 hours per night during the school day
8 hours/night...................................100%
6.5 hours/night...................................?
6.5*100/8=81.25
the change in percentage is 100-81.25=18.75%
the percentage change is 18.75
if it is easier for you, another method is:
8-6.5=1.5 subtract the original amount to the new amount
1.5/8=0.1875 divide by the original amount
0.1875*100=18.75 find the percentage
180-2(55)-x=0
180-110-x=0
70-x=0
-x=-70
x=70°
