Answer:
2(4x+1/4)
Step-by-step explanation:
You can put all of these equations into the Desmos Graphing Calculator and you will see that 2(4x+1/4) and -6x+3 3/4+14x-3.25 are equal to each other.
You cannot really see it in the picture below, but the purple 2(4x+1/4) line and the red -6x+3 3/4+14x-3.25 line are overlapping each other.
Which stem-and-leaf plot represents the data 80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78?
const2013 [10]
Convert the given data into ascending order.
30,54,55,55,66,78,79,80,81,91,92
Here the minimum value is 30 and maximum is 92.
Total counts=11
Now plot the data.
Stem | Leaf
3 | 0
5 | 4 5 5
6 | 6
7 | 8 9
8 | 0 1
9 | 1 2
This is the required stem leaf plot.
Answer:
1.5%.
Step-by-step explanation:
x per cent is written as 0.01x as a decimal fraction.
638.30 = 550(1 + 0.01x)^10
(1 + 0.01x)^10 = 638.30/550
Taking logarithms:
10 ln (1 + 0.01x) = ln ( 638.30/550)
ln (1 + 0.01x) = ln ( 638.30/550)/ 10
ln(1 + 0.01x) = 0.014889
Converting the logs:-
1 + 0.01x = e^0.014889 = 1.015
0.01x = 1 - 1.015
0.01x = 0.015
x = 0.015/ 0.01
= 1.5.
Translation doesn't change the lengths of the sides or
the size of the angles. So when a figure is just translated,
the original image and the translated image are congruent.