184 = ¹/₂x(8.5 + 14.5)
184 = ¹/₂(23)
<u>184</u> = <u>11¹/₂x
</u>11¹/₂ 11¹/₂
16 = x
Answer:
Rise: -1 Run: -1
Step-by-step explanation:
It's a negative line, and it crosses at the corner of every line. Hope this helps :)
Just divide 18 by 20 , so its 0.9
Let's call the two numbers a and b. So we know that the difference of the two numbers is 36:
a - b = 36
And we know that their sum is 286:
a + b = 286
We can use either of these equations to solve for one of the variables in terms of the other variable. Let's use the first and solve for a:
a - b = 36
a = 36 + b
Now we plug this into the other equation and solve for b there:
(36 + b) + b = 286
36 + 2b = 286
2b = 250
b = 125
The signs of the x-term and the constant term are both positive, so the signs of the constants in the binomial factors must be the same and must both be positive. The only offering that meets that requirement is
... C (2x+1)(3x+5)
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If you multiply that out, you get 6x² + 10x + 3x + 5 = 6x² +13x +5, as required.
The sign of the constant term is the product of the signs of the constants in the binomial factors: (+1)·(+5). We want a positive sign for the constant, so both binomial factor constants must have the same sign.
When the signs of the binomial factor constants are the same, the x-term constant will match them. Thus, for a positive x-term constant, both binomial factor constants must be positive.