Answer:
The situation represents the arithmetic sequence
Step-by-step explanation:
∵ The cost of the first night is $240
∵ The cost of each night after the first is $210
∵ The number of nights is x
∵ The total cost of staying at the hotel x nights is y
∴ y = 240 + 210(x - 1)
Put x = 1 , 2 , 3, 4 and then check the type of the sequence
∴ y = 240 + 210(1 - 1) = 240
∴ y = 240 + 210(2 - 1) = 450
∴ y = 240 + 210(3 - 1) = 660
∴ y = 240 + 210(4 - 1) = 870
∵ The difference between each two consecutive terms are constant
(450 - 240 = 210 , 660 - 450 = 210 , 870 - 660 = 210)
∴ The sequence is arithmetic sequence
Answer:
yes your answer is 45 degree
Answer:

Step-by-step explanation:
Instead, since the divisor is in the form of
, use what is called Synthetic Division. Remember, in this formula,
gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 −5 7 −12
↓ 4 −4 12
_______________
1 −1 3 0 → 
You start by placing the
in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to
then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an
, the −1 [
] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of
.
I am joyous to assist you anytime.
First of all, you add 1/3 and 4/5, so you get:

To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get:


Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:


That's the sum of 1/3 + 4/5.
Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:

In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:


Since 119 and 15 don't have a common factor, so they can't be simplified.
So, the answer is 119/15.
Hope this Helps! :D
2(3+3) or 2(3)+6, so the answer is the third option. It’s just using the distributive property.