Plz tell me what goes with what

Mathematics

1 answer:

Advocard [28]3 years ago

3 0

Answer:

Step-by-step explanation:

x²+5x-84

look for the factors of 84 that when you add together it will give +5

look for the factors of 84 that when you multiply together it will give -84

12 and 7

addition, multiplication

-12+7 = -5 -84

-12-7= -19 84

+12-7 = +5 -84 correct

then equate into the =5x and -84

x²+12x-7x-84

then factorize

x(x+12)-7(x+12)

(x-7)(x+12)

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There are 45 new houses being built in a neighborhood. Last month 1/3 of them were sold. This month 2/5 of the remaining houses

polet [3.4K]

Answer:

total=45

1/3+2/5=11/15

remaining fraction of houses=1-11/15

=4/15

reamaimg houses=4/15×45=12houses

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3 years ago

How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Ove

BigorU [14]

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

$\dfrac{9}{n^2+1} =\dfrac{n+3}{4}$

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

$\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\$