Answer:
(x+1)(x-9)
Step-by-step explanation:
x^2+x-9x-9=0
x*(x+1)-9(x+1)=0
(x+1)(x-9)=0
x+1=0
x-9=0
x=-1 and x=9
Answer:
4
Step-by-step explanation:
Let x be a number.
The statement can be interpreted as:
- 5 is subtracted <u>from</u> a number : x - 5
- A number is greater than 6 : x > 6
- When 5 is subtracted <u>from</u> 3 times a number, the result is greater than 6 : 3x - 5 > 6
And then we simplify 3x - 5 > 6:
- 3x - 5 > 6
- 3x > 11
- x > 11/3
- x > 3.666...
To get the smallest whole number satisfying the inequality above, we can take the "ceiling" of 3.66 which is 4.
Note:
The ceiling of a number is the nearest integer (or in this case, nearest whole number) of a number. It can be denoted by ceil(x).
For example, the ceiling of 0.1 is 1. The ceiling of 5 is 5 since 5 itself is a integer.
Answer:
Upwards
Step-by-step explanation:
The general form of a quadratic is 
We can tell whether the curve opens upward or downward by the sign of "a"
If
- a is positive, the curve opens upward
- a is negative, the curve opens downward
Reaaranging the given equation:

Here, we see that a is positive, so the curve opens Upward
$34.50 dollars for 10 sharpeners
All you have to do is 3.45 which is the cost of 1 sharpener and multiply it by 10 which will give you the cost of 10 sharpeners