Answer:
x < -4 or x > 7.
Step-by-step explanation:
We first determine the critical points by solving x^2 - 3x - 28 = 0:
x^2 - 3x - 28 = 0
(x - 7)(x + 4) = 0
x = 7, - 4
so the critical points are -4 and 7.
Create a Table (pos = positive and neg = negative):
Value of x< - 4 -4 < x < 7 x > 7
---------------------|----------- |--------------------- |---------------------
x + 4 NEG POS POS
x - 7 NEG NEG POS
(x + 4)(x - 7) POS NEG POS
So the function is positive (>0) for x < -4 or x > 7.
You can also do this by drawing the graph of the function.
Answer:
158.49
Step-by-step explanation:
10^(3.4 - 1.2) = 158.48931924611
round to 158.49
Answer:
Step-by-step explanation:
The easiest way to start is to do this problem is to start changing the 3/4 cup to a decimal
3/4 = 0.75
Now divide that into 11. What you are interested in is the remainder.
11/0.75 = 14.66667
He can make 14 whole pizzas.
He has 0.66667 of a cup left over which is less than 3/4 (or 0.75) so he does not have enough for another pizza.
So the answer is 0.66667 which is 2/3 of a cup is left over.
Answer:
16 and 17
Step-by-step explanation:
16 * 17 = 272
12. On addition, you can just combine like terms.
2v^3+(-v^3)=v^3
-v+v cancels each other out
8+(-3)=5
So you have v^3+5
14 On subtraction, you have to remember to distribute the negative sign so after you do that you have:
4h^3+3h+1+5h^3-6h+2
Then you can combine like terms
4h^3+5h^3=9h^3
3h-6h=-3h
1+2=3
So you end up with:
9h^3-3h+3
Hope that helps and feel free to ask any questions.