Hi there!
![- 4(8 - 3x) \geqslant 6x - 8](https://tex.z-dn.net/?f=%20-%204%288%20-%203x%29%20%5Cgeqslant%206x%20-%208)
First work out the parenthesis. Remember that a negative times a positive ends up with a negative. A negative times a negative ends up with a positive.
![- 32 + 12x \geqslant 6x - 8](https://tex.z-dn.net/?f=%20-%2032%20%2B%2012x%20%5Cgeqslant%206x%20-%208)
Subtract 6x from both sides.
![- 32 + 6x \geqslant - 8](https://tex.z-dn.net/?f=%20-%2032%20%2B%206x%20%5Cgeqslant%20%20-%208)
Add 32 to both sides.
![6x \geqslant 24](https://tex.z-dn.net/?f=6x%20%5Cgeqslant%2024)
Divide both sides by 6.
![x \geqslant 4](https://tex.z-dn.net/?f=x%20%5Cgeqslant%204)
Now we've found our solution.
~ Hope this helps you!
Answer:
-41
Step-by-step explanation:
arithmetic sequence formula:
![an = a1 + (n - 1)d](https://tex.z-dn.net/?f=an%20%3D%20a1%20%2B%20%28n%20-%201%29d)
where an = nth term , a1 = first term, n = # of terms and d = common difference
we want to find the 21st terms
The first term is -1 so a1 = -1
The number of terms is 21 so n = 21
and the common difference appears to be -2 because as the sequence goes on the number previous to it is subtracted by 2. eg. to get to -3 from -1 we subtract 2 ( -1 - 2 = -3) so d = -2
to find the 21st term we plug in the values of the variables
an = a1 + (n-1)d
a1 = -1 , n = 21 and d = -2
an = -1 + (21-1)(-2)
subtract 1 from 21
an = -1 + (20)(-2)
multiply -2 and 20
an = -1 + -40
add -1 and -40
an = -41
the 21st term would be -41
Answer:
$ 5,150.00
Step-by-step explanation:
A = $ 5,150.00
A = P + I where
P (principal) = $ 5,000.00
I (interest) = $ 150.00
As per question,
![\frac{1.51}{4.94}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1.51%7D%7B4.94%7D%20)
Now, multiply 100 with both numbers :
![\frac{1.51 \times 100}{4.94 \times 100}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1.51%20%5Ctimes%20100%7D%7B4.94%20%5Ctimes%20100%7D%20)
![= > \frac{151}{494}](https://tex.z-dn.net/?f=%20%3D%20%3E%20%20%5Cfrac%7B151%7D%7B494%7D%20)
As if we reguce to lowest term, it will be a very lengthy answer. So,
will ne the answer.
~Benjemin360