Hey!
Using the additive property of equality, we can subtract 5x from both sides to get 5x^2-9x=1. Next, we can subtract 1 from both sides to get 5x^2-9x-1=0. Thus, we have a polynomial equation of the form ax^2+bx+c. To simplify this, we would need to factor it out. In the case where a>1, which this one is, we must factor the polynomial so we end up with (5x+ _)(x+_). Thus, if we put the first blank as the value a and the second value as the value b, we get (5x+a)*(x+b)=5x^2+ax+5xb+ab. Thus, a*b=-1 (since there isn’t an x attached to it) and ax+5xb=-9x. Using a*b=-1, we can divide b from both sides using the multiplicative property of equality to get a=-1/b. Substituting that into ax+5xb=-9x, we have ax+5(-1/a)x=-9x. Dividing x from both sides, we get a+-5/a=-9. Multiplying both sides by a get rid of the -5/a, we get a^2-5=-9a. Adding 9a to both sides, we end up with a^2+9a-5=0. This is simpler than our original equation, and we can quickly figure out that because (0)^2+9*0-5=-5 and (1)^2+9*1-5=5, a must be between 0 and 1 and it would therefore be relatively complex to factor out. Therefore, our equation stays as is, and our simplified equation is 5x^2-9x-1=0
Feel free to ask further questions, and have a great day!
Answer:
Step-by-step explanation:I couldn’t give you the exact number but pretty much they all coordinate together of that helps luv! Sorry! Hope you get it!
Okay what you wanna do it multiple 4.2 and 3.9. if it says "by" it means multiple
<span>6x + 10y = 32 (mult. eq by 2)
6x + 2y = 22
subtract:
8y = 10
y = 1 0/8 = 1.25
x = 16 - 5y = 9.75
cost/lb of walnuts = $1.25
cost/lb of chocolate chips = $9.75</span>
Step-by-step explanation:
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