Answer:
Step-by-step explanation:
) Nth term = F + (N - 1) x D, where F=First term, N=Number of terms, D=Common difference
6th row = 23 + (6 - 1) x -3
= 23 + (5) x -3
= 23 + (-15)
= 8 - number of boxes in the top row.
b) Sum = N/2[2F + (N - 1) x D]
= 6/2[2*23 + (6 - 1) x -3]
= 3 [46 + (5) x -3 ]
= 3 [46 + -15 ]
= 3 [ 31 ]
= 93 - total number of boxes in the entire display.
Answer:
-123
Step-by-step explanation:
The remainder theorem says that when a polynomial is divided by a linear factor x - c (note the minus sign), the remainder is the value of the polynomial at x = c.
When a polynomial P(x) is divided by x - c, the remainder is P(c). In other words, to find the remainder, plug in c for x.
You're dividing by x + 4 which is the same thing as x - (-4) -- the role of c is being played by -4.
3(–4)^3 – (–4)^2 – 20(–4) + 5 = –123
Answer:
infinite solutions
Step-by-step explanation:
Simplify 3x-x-53x−x−5 to 2x-52x−5.
2x-5=2(x+2)-92x−5=2(x+2)−9
2 Expand.
2x-5=2x+4-92x−5=2x+4−9
3 Simplify 2x+4-92x+4−9 to 2x-52x−5.
2x-5=2x-52x−5=2x−5
4 Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions
Answer:
B. (x - 6)(x + 2).
Step-by-step explanation:
x^2 - 4x - 12
We need 2 numbers whose product is the last number -12 and whose sum is the coefficient of x (-4).
These numbers are -6 and + 2.
So the factors are (x - 6)(x + 2).
The probability that Nathan is not allergic to penicillin, like his father and paternal grandfather, is <u>24.5%</u>.
<h3>What is probability?</h3>
Probability estimates the likelihood of an event occurring.
Probability is expressed as a percentage, decimal, or fraction, and must be less than or equal to one.
<h3>Data and Calculations:</h3>
Nathan's chances of having the same allergy = 75%
Nathan's probability of not having the same allergy = 25% (1 - 75%)
Accuracy of test performed by the doctor = 98%
The probability that Nathan is not allergic to the drug after the test = 24.5% (25% x 98%).
Thus, the probability that Nathan is not allergic to penicillin is <u>24.5%</u>.
Learn more about probability at brainly.com/question/251701
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