9514 1404 393
Answer:
B. -1
Step-by-step explanation:
The relevant points on the graph are (1, 3) and (4, 0). The average rate of change can be found using the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (0 -3)/(4 -1) = -3/3 = -1
The average rate of change from x = 1 to x = 4 is -1.
Set up a system of equations:
2x+3y=6
x-3y=9
You can solve this with elimination by adding the two equations together:
3x+0y = 15
3x=15
x=5
Then, plug this value back into either of the original equations to find the y value:
5-3y=9
-3y=4
y= -4/3
The point of intersection is (5,-4/3)
Answer:
Let x be odd such that LCM {x,40} = 1400 .
Since 1400 = 23×52×7 , then
x ∈ {5m×7n∣(m,n) ∈ {0,1,2}×{0,1}} .
By testing these values, we find that x = 175 .
Answer:
44
Step-by-step explanation:
if 22 miles = 1/2
then, 22 times 2 = 44 miles
ANSWER= 44 miles
Answer:
a) 7/10
b) 1/6
Step-by-step explanation:
a) There are 10 ways to roll a 5 or less. Of those, 7 are greater than 3.
(die 1)(die 2) ∈ {11, 12, 21, 13, 22, 31, 14, 23, 32, 41}
p(>3 | ≤5) = 7/10
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b) Of the 36 possible outcomes of rolling two dice, there are 6 ways to have a 6 and an odd number:
{16, 36, 56, 61, 63, 65}
The probability of interest is 6/36 = 1/6.
