Answer:
form x = 6 ± √14
Step-by-step explanation:
I used mw so I'm sorry if worng
Answer:
b. an = 2 • (-3)^(n - 1)
Step-by-step explanation:
Before we test a solution or two, we can easily discard most of them.
We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign). <u>That already excludes answers A and C.</u>
Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.
We can test both D and B with n = 2, to obtain -6
Let's test answer D before:

The result is -54, not -6... so it's not the right result.
Let's test answer B then:

Right! Let's verify with n=5 to get 162:

Confirmed, answer is B. an = 2 • (-3)^(n - 1)
Answer: 8/10 or 4/5
Step-by-step explanation:
10/10 - 2/10 = 8/10
Answer:
830 calories
Step-by-step explanation:
The number of calories in a muffin is directly proportional to the amount of sugar in the muffin.
Let the number of muffins be N and the amount of sugar in the muffin be A. This means that:
N α A
=> N = kA
where k = constant of proportionality
A 200 calorie muffin has 500 grams of sugar.
This implies that:
200 = k * 500
=> k = 200 / 500 = 2/5
The constant of proportionality is 2/5.
The number of calories in a muffin with 2075 grams of sugar is:
N = 2/5 * 2075
N = 830 calories
There are 830 calories.