Question

What are the solutions to the equation 2x^2 +7x -15?

Answer 1

It will factor quite nicely. Use that method, factor, set the products to 0 and solve.

Answer 2

The first term is prime so for a start.

(x ------)(2x______)
The 3rd term is negative so the signs of the the products of 15 will be different.
the middle term is + so the + sign will go with the product that will result in a + value.

(x + __) (2x - ___) Now mentally figure what will produce -15 when multiplied and when used with the produce of 2x^2, (2 and 1) combine to produce 7.
(x + 5) (2x - 3)
Now you say 2x^2 + 7x -15 is an equation so I assume their is a = sign somewhere was it
2x^2 + 7x -15 =0 ?? If so then:
(x +5) (x - 3) = 0 Now you can solve.

Answer 3

thankyou I understand perfectly now

Answer 4

Good for you, good luck with your studies.

Answer 5

can you help me with this one system of equations problem?

Answer 6

I might, but I am not right all the time. Lets see what you have with the system, if it is a linear system, I may be of some help.

Answer 7

Jamie is organizing a coed soccer team for a community soccer league. The team must have from 12 to 15 adults, and the number of women must be greater than half the number of me. First write a system of inequalities to model the problem. Then solve the system of inequalities by graphing

Answer 8

Typo in the last line of radar's reply to the previous problem:
"(x +5) (x - 3) = 0 Now you can solve."
Should be (x+5)(2x-3) = 0.

Answer 9

Let w = women, and let m = men
12 =<(w + m)=<15
w > m/2
I think that would be two inequaltities. Now graph each one and where they share area on the graph would be the solutions

Answer 10

Thanks @aum, I did a typo. I told ludvic I am not right all the time lol.

Answer 11

Could you help with the graph question, I am kind of confused. Maybe it is isn't a system afterall, maybe a single expression would do. I am still thinking about it.

Answer 12

\[12\le (w >m/2) + m \le 15\] Would this say what the problem is providing?

Answer 13

There are 3 inequalities here:
12 <= w + m or w >= -m + 12
w + m <= 15 or w <= -m + 15
w > m/2

Let w be along the y-axis and m be along the x-axis.
Graph the three inequalities.
Shade the appropriate regions.
Find the common shaded region and that will be the solution space.

Answer 14

@ludvic you be thinking too. @aum that seems much simpler than the convoluted expression I came up with.

Answer 15

@ludvic am leaving the graphing up to you.

Answer 16

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Answer 17

Thankyou so much @aum and @radar

Answer 18

You are welcome.

Answer 19

Thanks @aum, that was a neat graph. I was wondering what it looked like. You're welcome @ludvic

Answer 20

@ludvic on the graph y is the women, and x is the men.