Answer:
k=-1/5
Step-by-step explanation:
Factor and set each factor equal to zero.
Add 3 to both sides of the equation.
75k^2+30k+3=0
Factor 3 out of 75k^2+30k+3.
Factor using the perfect square rule.
Divide each term by 3 and simplify.
Set the 5k+1 equal to 0.
Solve for k.
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Answer:

Step-by-step explanation:
Assuming a total of ten students were asked,
chose football and
chose other sports.
simplified is
, so that's the experimental chance that the next student favors football.
Answer:
Diverges
Step-by-step explanation:
See Image.
Answer:

Step-by-step explanation:
The formula that is used to calculate the area of a rectangle is:

Where "l" is the lenght and "w" is the width.
You know that the area of that rectangle is:

And, according to the exercise, its lenght is 7 more than its width; then:

Then, you can make the corresponding substitution into the formula
:

Simplify:

Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.
Then, you get:

The width of the rectangle is the positive value:

Then, the lenght is:
