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denpristay [2]
3 years ago
14

Factor the expression 15x-^2-10x-5

Mathematics
2 answers:
Hoochie [10]3 years ago
8 0
15x^2-10x-5=0\\ \\ a=15, \ \ b=-10 \ \ c=-5\\ \\ \Delta = b^{2}-4ac = (-10)^{2}-4* 15* (-5)= 100+300=400\\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{10- \sqrt{400}}{2*15}=\frac{10-20}{30}= \frac{-10}{30}=-\frac{1}{3}\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{10+ \sqrt{400}}{2*15}=\frac{10+20}{30}= \frac{30}{30}=1 \\ \\ \ 15x^2-10x-5=15(x+ \frac{1}{3})(x-1)=  (15x+ \frac{1}{3}*15)(x-1)=(15x+5)(x-1)\\ \\ Answer :15x^2-10x-5 =(15x+5)(x-1)
slava [35]3 years ago
6 0
15x^2 - 10x - 5
(3x + 1) (5x - 5)

If it tells you to solve it, set each part in parentheses and solve. What you end up will be your 2 final answers.
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3 years ago
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Answer:

The correct option is;

A total of forty hours a week

Step-by-step explanation:

The given information in the question are;

The number of hours of sleep Nina gets during weeknights = five hours

The number of hours of sleep Nina gets per night on weekends = ten hours

The number of days in a week = 5 days

The number of days in a weekend = 2 days

Therefore;

The number of hours of sleep Nina gets per week = 5 days × 5 hours/day + 2 days × 10 hours/day

∴ The number of hours of sleep Nina gets per week = 25 hours + 20 hours = 45 hours

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To better concentrate on schoolwork, Nina could get a total of forty hours a week of sleep a week to increase the number of hours she spends weekly on her schoolwork by up to 5 hours (45 hours - 40 hours).

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Step-by-step explanation:

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