Answer:
4C0m430 + 4C1m331 + 4C2m232 + 4C3m133 + 4C4m034
Step-by-step explanation:
Pascales triangle useing codes THis is also equivlent to x4 + 12x3 + 54x2 + 108x + 81
the problem isnt that hard. you need to do the distributive property or FOIL with (m+3) four different times. The answer would be
M^4 + 12M^3 +54M^2 +108M +81
B) P/s=3
C) Ps=3
D) P/3=s
What is the practical domain of the function?
(a) {31, 55, 79, 103, 127, 151, 175, 199}{31, 55, 79, 103, 127, 151, 175, 199}
(b) {1, 2, 3, 4, 5, 6, 7, 8}{1, 2, 3, 4, 5, 6, 7, 8}
(c) all real numbers from 1 to 8, inclusive
(d) all real numbers
The correct answer is:
(b) {1, 2, 3, 4, 5, 6, 7, 8}
Explanation:
In this problem, we use the variable c to represent the independent quantity. This means that the domain is all possible values for c.
Since the store only has 8 cases of water, the domain cannot be any number larger than 8.
Since the store only sells complete cases, not partial cases, of water, the domain cannot be a fraction or decimal number.
This means that the practical domain, or domain that makes sense for the problem situation, is {1, 2, 3, 4, 5, 6, 7, 8}.
The practical domain of the function is all positive integer because c represents the number of case, and there is no negative number of case and it is not sold in partial so only positive integer can satisfy the given function.
the length of the corresponding side of triangle ABC. What is the value of sinF?
Answer:
Step-by-step explanation:
From.the Pythagoras theorem,
DF² = DE² + EF²; therefore, DE²= DF²-EF².since each of the side of DEF is 1/3 of sides ABC , it implies that ,1/3 of 20 = 6.7 ( DF)and 1/3 of 16 = 5.3 (EF)
DE² = 6.7²-5.3²;
DE² = 44.89 - 28.09
DE² =16.8
Therefore taking the square root is both side to get the true value of DE
√DE² = √16.8; DE = 4.098.
there the value of sin of angle F
SinF°= 4.098/6.7; = 0.6116
Therefore F° = sin-¹0.6116; 37.7°.
SinF = 0.6116, while angle F = 37.7°
Note: the purpose of using the Pythagoras theorem is to help you find the third side of triangle DEF which is DE
Answer:y=3
Step-by-step explanation:
Answer:(0,5)
Step-by-step explanation:
Y-3=2(x+1)
Rewrite it
2(x+1)=y-3
Sub. 0 for xto find y
2=y-3
Y-3=2
Y=2+3
Y=5
5-3=2(x+1)
2=2x+2
2x+2=2
2x=-2+2
2x= 0
X=0
To check
5-3=2(0+1)
2=2(1)
2= 2
It checks