Answer:
y-intercept (0, -3) and x-intercept (3/2, 0)
Step-by-step explanation:
y + 5 =2(x + 1)
y + 5 =2x + 2
subtract 5 from both side
y =2x -3
-3 is the y-intercept because in y=mx+b, b is the y-intercept and it always starts at 0.
To find the x-intercept, we need to plug in 0 for y in y =2x -3
0=2x -3
add 3 to both sides
2x=3
divide both sides by 2
x=3/2 and so the x-intercept is 3/2 and it always starts at 0.
Answer:
0.333
Step-by-step explanation:
The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.
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The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...
6n -2 ≤ 1000
6n ≤ 1002
n ≤ 167
That is, 167 even numbers will also be excluded.
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The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.
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So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...
(1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)
1. One Solution: Slopes:1 and -1 y-ints:1 and 2
2. Many: Slopes:1 and 1 y-ints:1 and 1
3. Undefined: Slopes:1 and 1 y-ints:1 and 2
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Use FOIL
28x² -8xy +7xy -2y²
28x² -xy -2y²
