Answers
1) 1
2) 11
3) 4
4) D) Yes, the constant of variation is 3
Explanation
Q1
The slope of a line is given by
Slope = (change in y)/(change in x)
= (0 - -2)/(-4 - -6)
= 2/2
= 1
Q2
Slope = Δy/Δx
= (8 - -3)/(2 - 1)
= 11/1
= 11
Q3
Y varies directly as X. This is written as,
Y ∞ X
Put and equal sign then introduce the constant of proportionality, K.
Y = KX
K = Y/X
K = 6/18 = 1/3
∴ Y = (1/3)X
Y = (1/3) × 12
Y = 4
Q4
32Y = 96X
Dividing both sides by 32,
Y = 96/32 X
Y = 3X
3 been the constant, Y varies directly as X.
So, the equation 32y = 96x is a direct variation.
Constant of variation = 3
Solving for X.
5 = 2x^2 + 3 Subtract 3 from both sides.
2 = 2x^2 Divide by 2 on both sides.
1 = x^2 Take the square root of both sides.
X = 1
Answer:
1. It would be the second block. Bill reads 3 books EACH week. I know you’re looking for that X to be 1 but if you look 3 books x 5 weeks = 15 books and so on.
2. It would be the first block. Exactly on 6 weeks he reads 6 books meaning that by week 3 (which is half) he would have read haof the books (2). And same for week 12 you and another 4 which gets you 8 books.
3. It’s the last block. On week 12 he read 4 books. Half of 12 is 6 so it would be half books and week 3 is half of that which is 1 book per 3 weeks.
4. Is the third block. (Process of elimination lol) but also easily you can find the rate of each week by dividing the 15 books by 10 weeks which gets you 1.5 books read per week
Answer:
The chances of success for Archie is
Step-by-step explanation:
From the question we are told that
The distance of Sudland from Xhosas is d = 100 miles
The probability of failure is
The probability of choosing the desert route is
The probability of reaching Sudland through the mountain is
Generally the probability of choosing the mountains route is
Generally the probability of success is mathematically represented as
Generally the probability of success in reaching Sudland is also mathematically represented as
=>
substituting values
=>
=>
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