Setting f(x) = 0, we have:
-x2 -7x +30 =0
The roots of this quadratic equation are:
x = 3 and -10
Since the diver is on a diving board, the -10 is somewhere behind him. We use the root x = 3 since this distance is in front of the board.
Therefore, the answer is:
x = 3; the diver hits the water 3 feet away horizontally from the board
Answer: No solutions
Step-by-step explanation:
There are no solutions to 0 = x² - x + 1.
[Method One]
We can solve this by rewriting the equation, but it is quicker to graph it when there are no solutions. See attached.
[Method Two]
I said we can solve this by solving an equation, here it is. We will use the quadratic formula since the equation given is already in the proper form.



-> Negative numbers don't have real square roots, so there is no solution
Answer:
Step-by-step explanation:
40/100 musicians .75*40= 30
30 is to 100
as 38 is to x
30 38
---- = ------ Cross multiply
100 x
30x=3800
divide by three to get
126 and 2/3
you can't split people, so it would be closer to about 127 students.
Answer:
2/6 square units
Step-by-step explanation:
What is the area of a rectangle with side lengths of 1/2 and 2/3
Step one:
given data
L= 1/2 units
W=2/3 units
Step two:
Area= L*W
substitute
Area= 1/2*2/3
Area=2/6 square units