Answer: The range is 
Explanation:
The parabola opens down, forming a "frowny face" in a way (just without the eyes). Or you can think of it as a hill or mountain. This means that the vertex (-3,-6) is at the top of that mountain. It's the highest point of that parabola.
The range is the set of all possible y values. We see that y = -6 is the largest it can get. So y = -6 or y is smaller than this. We would then write 
to describe all the possible y values.
Therefore, the range is
This translates to "y is a real number such that y is -6 or smaller".
So the second answer you wrote is close, but you forgot the "or equal to" portion of the inequality sign.
See below for a visual example of what's going on.
Number of hours worked: 8
earning per hour = $9
tax = 16%
First, multiply the number of hours by the earnings per hour:
8 x 9 = $72 (total earnings)
Now, find the tax amount by multiplying the total earnings by the tax percentage in decimal form (divided by 100)
72 x (16/100)= 72 x 0.16 = $11.52
Finally, subtract the tax amount to the total earnings:
Money left: 72-11.52 = $ 60.48
The largest of the three would be 53, then 51, then 49.
9514 1404 393
Answer:
∠A = 44°
Step-by-step explanation:
In order to find the measure of angle A, you need to know the value of the variable x. This means you need some relation that you can solve to find x.
Happily, that relation is "the sum of angles in a triangle is 180°." This means ...
84° +(x +59)° +(x +51)° = 180°
(2x + 194)° = 180° . . . collect terms
2x = -14 . . . . . . . . . . divide by °, and subtract 194
x = -7 . . . . . . . . . . . .divide by 2
Now, the measure of angle A is ...
∠A = (x +51)° = (-7 +51)°
∠A = 44°
Answer: 16(x + 3)
Step-by-step explanation: When you're asked to a polynomial, the first thing you want to look for is the greatest common factor between the terms that are involved.
So what is the greatest common factor of 16x and 48?
The greatest common factor of 16x and 48 is 16 because
it's the largest number that divides evenly into 16 and 48.
The x does not qualify because it must appear in every term
to qualify for the GCF but here, it only appears in one term.
So a 16 factors out leaving us with each term divided by it
inside a set of parentheses so w eget 16(x + 3).
Notice that if we distributed the 16 through both terms,
we would end up with our original polynomial.
