Answer: I think its C
Step-by-step explanation:
The piecewise function is basically the result of two different functions combined together. If x is 0 or larger, then h(x) = x+4. Otherwise, if x < 0, then h(x) = -x-4
No matter what number you pick for x, the h(x) function will be used in some way. So the domain is the set of all real numbers. To write this in interval notation, we write
which means we start off at negative infinity and go to positive infinity. This is basically saying "the entire real number line". Since we can't actually reach either infinity, we always use parenthesis with them. <u>Never</u> use square brackets with either infinity
From the graph (see attached image below), we see that (0,-4) is the lowest point. This means y = -4 is the smallest y output possible, though we can't actually reach it because of the open circle at (0,-4). We can get any other larger y value. So the range is therefore:
meaning we start at -4 and head off to positive infinity. The curve parenthesis next to -4 the reader "exclude -4 as part of the range". There is an open hole or gap here. Another way to state the range is to write y > -4
Answer:
5:2
Step-by-step explanation:
Start with what the question is asking for, which is the ratio of math problems to minutes.
With ratios "to" also means ":", so you can change it to math problems : minutes.
Then, substitute the numbers for the labels. Math problems = 10 and minutes = 4, so now you have 10:4
Lastly, to simplify the ratio, find the greatest common factor, in this case 2, and divide both sides, which gives you your answer 5:2
Answer:
Your answer would be (x-4)
Step-by-step explanation:
If you follow the steps of factoring, first you need to set it up. I always start with the term with the variable first.
(x+_)(x+_)
And since we already know one of the factors, we can put that in our expression.
(x+6)(x+_)
Now remember the trick FOIL.
You multiply the FIRSTS together, then the OUTSIDES, then the INSIDES, and finally the LASTS.
To figure out our last blank we us this trick, but backwards. To get the 24 at the end of your expression x^2+2x-24 you multiply the LASTS together. So 6*_=-24. (remember the subtraction sign stays as a negative with the 24) That answer is -4
Hope that makes sense, and good luck!