<u>Answer:</u>
The correct answer option is: 
.
<u>Step-by-step explanation:</u>
We know that the 
term 
for an arithmetic sequence is given by:
where 
is the number of the position of the term.
We are supposed to find the first four terms of the sequence so we will substitute the values of from 1 to 4 in the given formula to get:
1st term:
2nd term:
3rd term:
4th term:
Answer:
x= 10
Step-by-step explanation:
Hey there!
In order to solve this problem, you'll look at (x⁴)(3x³ – 2) first. You need to multiply 4x by both numbers in the binomial to get the distributed version that you'll use later on.
(x⁴)(3x³) = 3x⁷
(x⁴)(–2) = –2x⁴
Now, your problem is (3x⁷ – 2x⁴)(4x² <span>+ 5x). You will complete the distributing by multiplying the first term of the first binomial by both terms of the second binomial, then repeating this with the second term. You'll then want to add or subtract any repeated terms to combine them, if applicable. Remember that to multiply exponents together, all you need to do is add the numbers. x is the same as x</span>¹.<span>
</span>(3x⁷)(4x²) = 12x⁹
(3x⁷)(5x) = 15x⁸
(–2x⁴)(4x²) = –8x⁶
(–2x⁴)(5x) = –10x⁵
So, your final expanded product will be (12x⁹ + 15x⁸ – 8x⁶ – 10x⁵). Your answer should be letter A. Hope this helped you out! :-)
Use elimination to find both values.
Subtract the second equation from the first equation
x + 15y = 40
- x + 10y = 30
————————
5y = 10
y = 2
Plug in the value for y into one of the equations. I’m going to put it in the second equation.
x + 10(2) = 30
x + 20 = 30
x = 10
x = 10
y = 2
