There will be 1.078x students next year and equation is number of students in next year = x + 7.8% of x
<h3><u>Solution:</u></h3>
Given, There are "x" number of students at helms.
The number of students increases by 7.8% each year which means if there "x" number of students in present year, then the number of students in next year will be x + 7.8% of x
Number of students in next year = number of students in present year + increased number of students.
Thus there will be 1.078x students in next year
Answer:
x=2, x=-2
Step-by-step explanation:
3x²-3+4x²-12=13
7x²=13+12+3
7x²=28
x²=4
x=-2
x=2
The third choice is very useful. It's valid because two things that are both equal to 'y' are equal to each other, and it can be easily solved to find 'x'.
Answer:
The expression that represents the given sequence is 5+6(n-1). Option C (not labeled).
Explanation:
<u>Arithmetic Sequences</u>
In an arithmetic sequence, each term can be obtained by adding or subtracting a fixed number to the previous term. That fixed number is called the common difference.
We are given the following sequence:
5, 11, 17, 23, 29, ...
Each term is located in a position starting from n=1. Let's test each option:
A For n=1 we should have the first term (5). Substituting n=1 into the general equation: 5+6(n+1) = 5+6(1+1) = 5+12 = 17. Since the resulting term is not 5, this option is incorrect.
B For n=1, 6+5(n+1)= 6+5(2)=16. This option is incorrect.
C (not labeled) For n=1, 5+6(n-1)=5+6(1-1)=5+0=5. The first term is correct. Let's test for the second term (n=2):
5+6(2-1)=5+6=11. Correct. For n=3
5+6(3-1)=5+12=17. Correct.
We can see the terms are increasing by 6, and the given sequence is also increasing by 6. Thus, This option is correct.
D For n=1, 6+5 (n-1)=6+0=6. This option is incorrect.
