Answer:
f(x) = 4(x - 8)
4 (10 -8) = 8
Step-by-step explanation:
Answer:
P(4≤x≤7) = 2/3
Step-by-step explanation:
We'll begin by obtaining the sample space (S) i.e possible outcome of rolling both dice at the same time. This is illustrated below:
1,1 1,2 1,3 1,4 1,5 1,6
2,1 2,2 2,3 2,4 2,5 2,6
3,1 3,2 3,3 3,4 3,5 3,6
4,1 4,2 4,3 4,4 4,5 4,6
5,1 5,2 5,3 5,4 5,5 5,6
6,1 6,2 6,3 6,4 6,5 6,6
Adding the outcome together, the sample space (S) becomes:
2 3 4 5 6 7
3 4 5 6 7 8
4 5 6 7 8 9
5 6 7 8 9 10
6 7 8 9 10 11
7 8 9 10 11 12
Next, we shall obtain the event of 4≤x≤7. This is illustrated below:
4 5 6 7
4 5 6 7
4 5 6 7
4 5 6 7
4 5 6 7
4 5 6 7
Finally, we shall determine P(4≤x≤7). This can be obtained as follow:
Element in the sample space, n(S) = 36
Element in 4≤x≤7, n(4≤x≤7) = 24
Probability of 4≤x≤7, P(4≤x≤7) = ?
P(4≤x≤7) = n(4≤x≤7) / nS
P(4≤x≤7) = 24/36
P(4≤x≤7) = 2/3
Answer:
n = 9/4 = 2.250
Step-by-step explanation:
Rearrange: 4*n-(9)=0
Solve: 4n-9 = 0
4n = 9
n = 9/4 = 2.250
answer: n = 9/4 = 2.250
Answer:
The quotient of the rational function is 
.
Step-by-step explanation:
We proceed to solve the expression by solely algebraic means below:
1) 
Given
2) 
Modulative property
3) ![\frac{(3\cdot x +5) + [1+(-1)]}{x+2}](https://tex.z-dn.net/?f=%5Cfrac%7B%283%5Ccdot%20x%20%2B5%29%20%2B%20%5B1%2B%28-1%29%5D%7D%7Bx%2B2%7D)
Existence of additive inverse/Associative property
4) 
Definition of addition/Commutative and associative properties
5) 
/ 
/Distributive property
6) Definition of division/Existence of multiplicative inverse/Modulative property/Definition of subtraction/Result
The quotient of the rational function is .
A) the starting point is in quadrant Q because the x-value is negative, while the y-value is positive. The finishing point is in quadrant S because the x-value is positive, while the y-value is negative.
B) The points are connected by a straight line, so you don't have to wander off. By the way, the checkpoint is in Quadrant P.
