The expression 3n^2 can be separated into (3n)(n).
Factored formula is in the form (a+b)(a+b), where b*b is equal to the last term in the expression, 15. The factors of 15 are three and five.
Using these two piece of information, we know it must be either (3n+3)(n+5) or (3n+5)(n+3). To get the middle term, 14n, using FOIL, this is equivalent to ((3n)(3) + (5)(n)) in the latter expression. In the first expression, ((3n)(5) + (3)(n)) = 18n, which is not equivalent to the given equation’s middle term.
Therefore, we know that the factored form of this equation is (3n+5)(n+3).
The solutions, or zeroes, of any equation are where y=0. Therefore, we set the expression 3n^2+14n+15=0, or (3n+5)(n+3)=0. To obtain zero from two products, either of the products must equal zero. Therefore, we can state 3n+5=0 and n+3=0. Solving these equations, we get:
3n+5=0
3n=-5
n=-5/3
and
n+3=0
n=-3.
Finally, the solutions are n=-5/3 and n=-3
150 is the answer because you have to put 36 over 100% and then put it to lowest term and then when you get the number in lowest term see what get you to 54 and do the samething to the bottom
Answer:
1/4
Step-by-step explanation:
The probability of it being a cardinal is the number of cardinals / the total number of possible birds the hawk could eat.
There are 3 + 5 + 4 = 12 total birds near the bird feeder.
There are 3 cardinals.
So the probability is 3/12 = 1/4 that the cardinal is eaten!
Answer:32
Step-by-step explanation:
24=(3/4)d multiply both sides by 4/3(the reciprocal) and you get d=32
Answer: true
Step-by-step explanation:
