A. (2,6)(5,0)
slope = (0 - 6) / (5 - 2) = -6/3 = -2
y = mx + b
slope(m) = -2
(2,6)..x = 2 and y = 6
sub and find b, the y int
6 = -2(2) + b
6 = -4 + b
6 + 4 = b
10 = b
so line A , equation is : y = -2x + 10
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B. (0,2)(6,6)
slope = (6 - 2) / (6 - 0) = 4/6 which reduces to 2/3
y = mx + b
slope(m) = 2/3
(0,2)...x = 0 and y = 2
sub and find b, the y int
2 = 2/3(0) + b
2 = b
LIne B, equation is : y = 2/3x + 2
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so we have :
y = 2/3x + 2
y = -2x + 10
2/3x + 2 = -2x + 10 ..multiply by 3
2x + 6 = -6x + 30
2x + 6x = 30 - 6
8x = 24
x = 24/8
x = 3
y = -2x + 10
y = -2(3) + 10
y = -6 + 10
y = 4
solution is (3,4).....3/4 is the solution to both lines <===
Answer:
Step-by-step explanation:
2^2×2^3(x+1)=2^2x
same base cancel,you will get
2+3x+3=2x
take same variable then - or + you will get
Answer:
x = 15
Step-by-step explanation:
Apply the keg rule to find x. The keg rule is given as:
Hypotenuse / leg = leg / part of the hypotenuse directly under the leg
Hypotenuse = 25
Leg = x
Part of the hypotenuse directly under the leg = 25 - 16 = 9
Plug in the values
25/x = x/9
Cross multiply
x*x = 25*9
x² = 225
x = √225
x = 15
The probability that all of them will be defective is 0.0000759375
<em><u>Explanation</u></em>
The general <u>Binomial Probability</u> formula is....
, where p is the probability of success, n is the total number of trials and r is the desired numbers of trials.
Given, the probability that a computer will be defective is 0.15 , so p = 0.15
Five computers are manufactured and we need to find the probability that all of them will be defective. That means, n = 5 and r = 5
Now according to the above formula....
So, the probability that all of them will be defective is 0.0000759375
John would need 270 tiles and he does not have enough money to buy the tiles he needs. He only has $400 and he would need $405.
