Answer:y=6.61,x=-6.46
Step-by-step explanation:
3x+7y=-26(×5)
-
5x+3y=-14(×3)
=15x+35y=-130
-
15x+9y=-42
subtracting the 2 equations =15x-15x+35y-9y=-130-(-42)
=26y=172
y=172÷26
y=6.61
substitute y in the first equation=3x+6.61=-26
3x=-26+6.61=-19.39
x=-19.39÷3
x=-6.46
First put in ascending order.
0, 2, 2, 4, 5, 6, 7
The median is the middle number: 4
The mode is the number that repeats the most often: 2
The mean is the average. Add the numbers and divide by 7.
26/7 = 3.71
Answer:
1. sum of term = 465
2. nth term of the AP = 30n - 10
Step-by-step explanation:
1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore
sum of term = n/2(a + l)
where
a = 1
l = last term = 30
n = number of term
sum of term = 30/2(1 + 30)
sum of term = 15(31)
sum of term = 465
2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......
The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;
a = 20
d = 30
nth term of an AP = a + (n - 1)d
nth term of an AP = 20 + (n - 1)30
nth term of an AP = 20 + 30n - 30
nth term of the AP = 30n - 10
The nth term formula can be used to find the next term progressively. where n = number of term
The sequence will be 20, 50, 80, 110, 140, 170, 200..............
Answer:
Step-by-step explanation:
Given
Required
Represent the width as an inequality
First, we represent the area as an inequality.
max as used above means less than or equal to.
So, we have:
The area of a rectangle is:
So, we have:
Substitute 10 for L
Divide both sides by 10
