The range is the set of y coordinates (or outputs). For any point (x,y) the y coordinate is the second number listed. For example, with (8,7) the y coordinate is 7.
So we simply list all of the y coordinates of each ordered pair. Those values are: 1, 0, -1, 7, 7
Let's order them as you would see on a number line
-1, 0, 1, 7, 7
then let's toss out the extra 7 to get
-1, 0, 1, 7
So the range is the set {-1, 0, 1, 7}
Answer:
C) In step 3, he should have determined which square is closest to 18.
Step-by-step explanation:
17.64 also rounds to 18. 17.64 differs from 18 by ...
18 -17.64 = 0.36
whereas 18.49 differs from 18 by ...
18.49 -18 = 0.49
Hence 17.64 is closer to 18 and we might expect 4.2 to be closer to √18 than is 4.3.
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The actual root of 18 is about 4.243, so 4.2 is a better approximation.
Answer:
There are ways for quickly multiply out a binomial that's being raised by an exponent. Like
(a + b)0 = 1
(a + b)1 = a + b
(a + b)2 = a2 + 2ab + b2
(a + b)3 = (a + b)(a + b)2 = (a + b)(a2 + 2ab + b2) = a3 + 3a2b + 3ab2 + b3
and so on and so on
but there was this mathematician named Blaise Pascal and he found a numerical pattern, called Pascal's Triangle, for quickly expanding a binomial like the ones from earlier. It looks like this
1 1
2 1 2 1
3 1 3 3 1
4 1 4 6 4 1
5 1 5 10 10 5 1
Pascal's Triangle gives us the coefficients for an expanded binomial of the form (a + b)n, where n is the row of the triangle.
Hope this helps!
Answer:
$3.25 per gallon
Step-by-step explanation:
She had $30 and now has $4, so she spent $30- $4 = $26
With $24 she bought 8 gallons of gas.
$26/(8 gallons) = $3.25/(1 gallon) [ divide 26 by 8 to get the unit rate]
She spent $3.25 per gallon
