To simplify this, we need to do PEMDAS (parenthesis then exponents, then multiplication and division, then addition and subtraction). Here, we can't combine any like terms in the parenthesis. Since there's no exponents, that means that the next step is to do multiplication. This gives us:
3 - 15y - 21 + 2y - 6
Now we can combine like terms.
(-15y + 2y) + (3 - 21 - 6)
-13y - 24
Answer:
a) 5.9
b) 4.2
Step-by-step explanation:
Plot the data points on the number line (see attached).
<u>Part (a)</u>

<u>Part (b)</u>

The histogram representing the data is attcwhwd in the picture below.
Answer:
C On exactly 25% of these days, Shane drank 3 to 4 glasses of water.
Step-by-step explanation:
The number of 8 - ounce glasses is represented on the x - axis and the number of days on the y - axis.
From the histogram ;
Shane drank 1 - 2 glasses on exactly 1 day
Shane drank 3 - 4 glasses on exactly 3 days
Shane drank 5 - 6 glasses on exactly 6 day
Total number of days = 12
60% of 12 = 7.2
On exactly 60% of the days, which is 7.2 days, number of glasses drunk isn't covered by the histogram
25% of 12 ; 0.25 * 12 = 3 days
From the histogram, number of glasses consumed is 3 - 4 glasses ; which is the only true statement about the histogram in the options given.
Answer:
(5, 6, 9)
Step-by-step explanation:
The domain is basically the set of all x values while the range is the set of all y values, in this case, it's the values of f(x). To find the range, we can plug the x values into the equation:
f(-2) = 9
f(-1) = 6
f(0) = 5
f(1) = 6
f(2) = 9
Since we can't have repeats in the range, it would be: (5, 6, 9)
For any polygon, the formula of the interior angle is 180 - 360/n where n is the number of sides of the polygon. The exterior angle is the supplementary angle of the interior angle. Hence when n is equal to 46, then interior angle is equal to 172.17 degrees and the exterior is equal to 7.83 degrees.