B, because it actually has the number of sponsors and is a positive slope.
Answer:
R { - 6, 6 }
Step-by-step explanation:
To find the range substitute the values of x from the domain into f(x)
f(- 1) = - 4(- 1) + 2 = 4 + 2 = 6
f(2) = - 4(2) + 2 = - 8 + 2 = - 6
Range { - 6, 6 }
Answer:
combined variation
Step-by-step explanation:
we have
we know that
a)<u> in the interval </u>----> (0,∞)
If the value of x increase the value of y increase
so
Is a direct variation
b) <u>in the interval -</u>---> (-∞,0)
If the value of x increase the value of y decrease
so
Is a inverse variation
therefore
Is a combined variation
Answer:
P(A∪B) = 1/3
Step-by-step explanation:
Red Garments = 1 red shirt + 1 red hat + 1 red pairs of pants
Total Red Garments = 3
Green Garments = 1 green shirt + 1 green scarf + 1 green pairs of pants
Total Green Garments = 3
The total number of garments = Total Red Garments + Total Green Garments:
3 + 3 = 6
Let A be the event that he selects a green garment
P(A) = Number of required outcomes/Total number of possible outcomes
P(A) = 3/6
Let B be the event that he chooses a scarf
P(B) = 1/6
The objective here is to determine P(A or B) = P(A∪B)
Using the probability set notation theory:
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∩B) = Probability that a green pair of pant is chosen = P(A) - P(B)
= 3/6-1/6
= 2/6
P(A∪B) = 1/2 + 1/6 - 2/6
P(A∪B) = 2/6
P(A∪B) = 1/3
A + b = 15 ..... eq 1
a – b = 12 ...... eq 2
So a = 15 – b
Substitute in eq 2 :
15 – b – b = 12
15 – 2b = 12
–2b = 12 – 15
b = 1.5
So a = 15 – 3/2 = 13.5
4ab = 4 x 13.5 x 1.5 = 81
