Answer:
The positive solution is 2.4.
Step-by-step explanation:
The given functions are


It is given that




The quadratic formula:







Therefore the positive solution is 2.4.
Answer:

Step-by-step explanation:
The synthetic division can be used to divide a polynomial function by a binomial of the form x-c, determining zeros in the polynomial.
step 1: Establish the synthetic division, placing the polynomial coefficients in the first row (if any term does not appear, assign a zero coefficient) and to the extreme left the value of c.
1 | 1 0 0 1
step 2: Lower the main coefficient to the third row.
1 | 1 0 0 1
1
Step 3: Multiply 1 by the main coefficient 1.
1 | 1 0 0 1
1
1
step 4: Add the elements of the second column.
1 | 1 0 0 1
1
1 1
step 5: Then repeat step 4 until the constant term 1 is reached.
1 | 1 0 0 1
1 1 1
1 1 1 2
step 6: Enter the quotient and remainder
quotient: 
remainder: 2
Solution:

83 divided by 7 (pounds in each box)
Gives you about 11.85 which you would round to 12, so Lily would need 12 boxes.
Answer:
0.8913 = 89.13% probability that it will weigh between 244 grams and 305 grams.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 275 grams and a standard deviation of 19 grams
This means that 
What is the probability that it will weigh between 244 grams and 305 grams?
This is the p-value of Z when X = 305 subtracted by the p-value of Z when X = 244.
X = 305



has a p-value of 0.9429.
X = 244



has a p-value of 0.0516
0.9429 - 0.0516 = 0.8913
0.8913 = 89.13% probability that it will weigh between 244 grams and 305 grams.
58.25n+30p-2
Step-by-step explanation:
Given the expression as;
1 + 4.25n + 32p – 3 + (–2p) + 54n
collect like terms
1-3+4.25n+54n+32p-2p
-2+58.25n+30p
58.25n+30p-2
Learn more
Algebra: brainly.com/question/1280754
Keywords: simplify, expression
#LearnwithBrainly