Answer:
k = -8
Step-by-step explanation:
-2k+13=-8k-35
Add 8k to each side
-2k+8k+13=-8k+8k-35
6k +13 = -35
Subtract 13 from each side
6k+13-13 = -35-13
6k = -48
Divide by 6
6k/6 = -48/6
k = -8
a geometric sequence is a bunch of numbers where you can get from a number to the next number by multiplying the previous number by a certain number
might be confusing so here's an example
1,2,4,8,16
each term is multiplied by 2 to get next term, that number that each term is multiplied by is called the common ratio
formula for geometric sequence is
where 
is nth term
is first term
r is teh common ratio
n=which term
in our example
1,3, 9, 27, 81
each term is being multiplied by 3 so it is a geometric sequence and thus r=3
also first term is 1 so 
so the formula is 
or in function notation 
Answer:
£23
Explanation:
6x10=60
2x1.5=3
3.14x2^2=12.566
60-3-12.566=44.433
44.43/10=4.43
5 bags
5x4.60=23
=£23
Answer:
George made the first mistake by multiplying by 7 instead of 8
Step-by-step explanation:
The total cars needed to have a mean of 24:
24 x 8 = 192
Total cars sold during the seven months:
18 + 22 + 26 + 12 + 25 + 20 + 19 = 142
Subtract the total cars sold from the total cars needed:
192 - 142 = 50
George needs to sell 50 cars in the eight month in order to have an average of 24 cars sold per month.
To solve this, set up two equations using the information you're given. Let's call our two numbers a and b:
1) D<span>ifference of two numbers is 90
a - b (difference of two numbers) = 90
2) The quotient of these two numbers is 10
a/b (quotient of the two numbers) = 10
Now you can solve for the two numbers.
1) Solve the second equation for one of the variables. Let's solve for a:
a/b = 10
a = 10b
2) Plug a =10b into the first equation and solve for the value of b:
a - b = 90
10b - b = 90
9b = 90
b = 10
3) Using b = 10, plug it back into one of the equations to find the value of a. I'll plug it back into the first equation:
a - b = 90
a - 10 = 90
a = 100
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Answer: The numbers are 100 and 10</span>
