Answer:
Your correct, don’t overthink it buddy!
Step-by-step explanation:
4x+9y+8x-2y
12x+7y
Answer:
a) language
b) 2/15
Step-by-step explanation:
For the first part, you can start by making the denominators same
you take the LCM of 3 and 5 which is 15
Language books are now 10/15 since you multiply the nominator and denominator by 5
While science books are 3/15
10/15 : 3/15 making it obvious that language books are more
if the remaining are math books then
total books - (language + science books) = math books
10/15 + 3/15 = 13/15 (non math books)
15/15 - 13/15 are math books making 2/15 of them math books
General Idea:
Domain of a function means the values of x which will give a DEFINED output for the function.
Applying the concept:
Given that the x represent the time in seconds, f(x) represent the height of food packet.
Time cannot be a negative value, so
The height of the food packet cannot be a negative value, so
We need to replace 
for f(x) in the above inequality to find the domain.
![-15x^2+6000\geq 0 \; \; [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0](https://tex.z-dn.net/?f=%20-15x%5E2%2B6000%5Cgeq%200%20%5C%3B%20%5C%3B%20%20%5BDivide%20%5C%3B%20by%5C%3B%20-15%5C%3B%20on%5C%3B%20both%5C%3B%20sides%5D%5C%5C%20%5C%5C%20%5Cfrac%7B-15x%5E2%7D%7B-15%7D%20%2B%5Cfrac%7B6000%7D%7B-15%7D%20%5Cleq%20%5Cfrac%7B0%7D%7B-15%7D%20%5C%5C%20%5C%5C%20x%5E2-400%5Cleq%200%5C%3B%5BFactoring%5C%3Bon%5C%3Bleft%5C%3Bside%5D%5C%5C%20%5C%5C%20%28x%2B200%29%28x-200%29%5Cleq%200%20)
The possible solutions of the above inequality are given by the intervals ![(-\infty , -2], [-2,2], [2,\infty )](https://tex.z-dn.net/?f=%20%28-%5Cinfty%20%2C%20-2%5D%2C%20%5B-2%2C2%5D%2C%20%5B2%2C%5Cinfty%20%29%20)
. We need to pick test point from each possible solution interval and check whether that test point make the inequality 
true. Only the test point from the solution interval [-200, 200] make the inequality true.
The values of x which will make the above inequality TRUE is 
But we already know x should be positive, because time cannot be negative.
Conclusion:
Domain of the given function is 
Answer:
1.) Arithmetic sequences are modeled with linear functions because it is a linear series
2.) Geometric sequences are modeled with exponential functions because their value increases exponentially
Step-by-step explanation:
1.) Arithmetic sequences are linear functions. While the n-value increases by a constant value of one, the f (n) value increases by a constant value of d, the common difference.
Arithmetic Sequence is one where you add (or subtract) the same value to get from one term to the next.
2.) An exponential function is obtained from a geometric sequence by replacing the counting integer n by the real variable x. Geometric sequences (with common ratio not equal to −1, 1 or 0) show exponential growth or exponential decay, as opposed to the linear growth (or decline) of an arithmetic progression such as 4, 15, 26, 37, 48, … (with common difference 11).
This shows that Geometric series grow or decays (reduces) exponentially; this is due to their common ratio (r)
Z is 105..................................
