Answer:
1. value is 0; x-3 is a factor . . . . . . . . . . . . . .third choice
2. evaluates at x = -1; remainder is -11 . . . . first choice
Step-by-step explanation:
Dividing f(x) by (x -a) gives ...
f(x)/(x -a) = g(x) +r/(x -a) . . . . some quotient and a remainder r
If we multiply this expression by (x -a), we see ...
f(x) = (x -a)g(x) +r
so
f(a) = (a -a)g(a) +r . . . . . evaluate the above equation at x=a
f(a) = 0 +r
f(a) = r . . . . . . . . . a statement of the remainder theorem
If r=0, then x-a is a factor of f(x) = (x-a)g(x).
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1. We have "a" = 3, and f(3) = 0. Therefore (x-3) is a factor.
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2. We have "a" = -1, and f(-1) = -11. Therefore the remainder from division by (x+1) is -11.
Answer:
A. 8fg + 3h
Step-by-step explanation:
![4f × 2g + 3h \\ \\ = 4 \times 2 \times f \times g + 3h \\ \\ = 8fg + 3h](https://tex.z-dn.net/?f=4f%20%C3%97%202g%20%2B%203h%20%5C%5C%20%20%5C%5C%20%20%3D%204%20%5Ctimes%202%20%5Ctimes%20f%20%5Ctimes%20g%20%2B%203h%20%5C%5C%20%20%5C%5C%20%20%3D%208fg%20%2B%203h)
Answer:
She will get <u>80mg</u> of dextromethorphan and <u>800mg</u> of guaifenesin. And the bottle last for <u>6 days</u> approximately.
Step-by-step explanation:
Given that the Robitussin DM contains dextromethorphan 10mg/5mL and gualfenesin 100mg/5mL. And we are also given that Mrs Smith took four doses and each dose is 2 teaspoons=2X5=10mL.
So, four doses=4X10=40mL.
So, dextromethorphan in 4 doses is = ![\frac{10}{5}X40=80mg](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B5%7DX40%3D80mg)
And Guaifenesin in 4 doses is =
Dosage of medicine daily she has to take=40mL and the bottle contains 237 mL. Hence the number of days bottle last =
≈6 days approximately.
Answer:
=22%
Step-by-step explanation:
Since we have given two conditions simultaneously that is windy and not sunny. So we will use the concept of conditional probability.
The probability of sunny day= P(sunny)=10%
P(sunny)=10%=0.1
The probability of windy and not sunny=P(windy|not sun)=20%
P(windy|not sun)=20% = 0.2
Now divide the both probabilities:
P(windy|not sun)/P(sunny)
=0.2/[1-0.1]
{Hence there are 10% chances of sun tomorrow than there are (1 - 0.1) chances of no sun}
If we subtract 1 from 0.1 than it becomes:
=0.2/0.9
=2/9
=0.2222222222
=22%
Hence the probability that it is windy = 22% ....