Answer:


Step-by-step explanation:
It is given that the snack shop makes 3 mixes of nuts in the following proportions.
Mix I: 6 lbs peanuts, 2 lbs cashews, 2 lbs pecans.
Mix II: 5 lbs peanuts, 3 lbs cashews, 2 lbs pecans.
Mix III: 3 lbs peanuts, 4 lbs cashews, 3 lbs pecans.
they received an order for 25 of mix I, 18 of mix II, and 35 of mix III.
We need to find the matrices A & B for which AB gives the total number of lbs of each nut required to fill the order.
Mix I Mix II Mix III
peanuts 6 5 3
cashews 2 3 4
pecans 2 2 2


The product of both matrices is



Therefore matrix AB gives the total number of lbs of each nut required to fill the order.
The value of constant a is -5
Further explanation:
We will use the comparison of co-efficient method for finding the value of a
So,
Given

As it is given that
(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28
In this case, co-efficient of variables will be equal, so we can compare the coefficients of x^3, x^2 or x
Comparing coefficient of x^3

So the value of constant a is -5
Keywords: Polynomials, factorization
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Answer:
You are looking for a geometric series equation. The first term of the sequence is 6 and the common ratio is 4 hence the equation is 6(4)^n-1 where n is the number of generations.
Step-by-step explanation:
Idk lol I’m just writing this for the 100% sorry
Answer:
Sequence One
Step-by-step explanation:
S = a₁ / (1 − r) is the infinite sum of a geometric series where |r| < 1.
Sequence One: r = 1/5
Sequence Two: r = 2
Sequence Three: not geometric
Sequence Four: r = -3/2
Only Sequence One has |r| < 1.