Solve 3x2 + x + 10 = 0. Round solutions to the nearest hundredth.

Answers

Answer 1

Answer: $3 x^(2) + x + 10 = 0$
$x = \frac{-b(+or-) \sqrt{ b^(2) - 4ac } }{2a}$
$x = \frac{-1(+or-) \sqrt{ 1^(2) - 4(3)(10) } }{2(3)}$
: . x = \frac{-1 + \sqrt{-119} }{6} OR $x = (-1 - √(-119) )/(6)$

Thus the roots or the solutions to this equation are imaginary because the discriminant $√(-119)$ is negative and a negative number is undefined when rooted.

Answer with explanation:

Ques 1)

We are given a expression as:

$7x^(-8)* 6x^3$

It could also be written as:

$(7* 6)* x^(-8)* x^3\n\n\n=42* x^(-8+3)\n\n\n=42x^(-5)\n\n\n=(42)/(x^5)$

Option: a is the answer.

$(-2x^8)* 3y^9* 2x^4$

which is solved as follows:

$(-2* 3* 2)* x^8* y^9* x^4\n\n\n=-12x^(8+4)* y^9\n\n\n=-12x^(12)y^9$

Ques 2)

The expression is:

$(8* 10^7)(7* 10^4)$

It is solved as:

$=(8* 7)* 10^7* 10^4\n\n\n=56* 10^(7+4)\n\n\n=56* 10^(11)\n\n\n=5.6* 10^(12)$

Option: b is the answer.

$(7* 10^(-4))(9* 10^(-10))$

On simplifying:

$=7* 9* 10^(-4)* 10^(-10)\n\n\n=63* 10^(-4-10)\n\n\n=63* 10^(-14)\n\n\n=6.3* 10^(-14+1)\n\n\n=6.3* 10^(-13)$

Option: a is the answer.

What is the answer to this problem... f(x)3x+7=

Answers

There really isn't a answer. Let me explain, this is a function. A function shows what operation you have to do to get a y value or any kind of value. Whenever it has a f(x) or any variable in the 'x' part you will automatically know that it's a function. So what you do is substitute any number for the variable that's there, any number, whether it's 100 or 1. So in this case a x is what we have to put in a substitute for. So let's try 1. 1x3 = 3, 3+7 is 10. So the function of x for 1 is 10. Now keep doing that and you'll get numbers which will turn into points in a graph (when we substituted in a 1 and got a result that's the y value) and that's the "answer".

What is the GCF of 9 and 18?

Answers

9=1,3,9
18=1,2,3,6,9,18

Answer: 9

Step-by-step explanation:

the pet store has 8 rabbits for sale. Each morning the owner feeds the rabbits a total of 2 cups of pellets. If each rabbit receives the same amount of pellets, how much does each rabbit receive?

Answers

1/4 of a cup of pellets. Because 8 1/4s equals 2. I know this probably wasn't that descriptive but I hope it helps anyway

If f(x)=log2(x+4), what is f^-1(3)?

Answers

$f\left( x \right) =\log _( 2 ){ \left( x+4 \right) } \n \n \log _( 2 ){ \left( x+4 \right) } =y\n \n { 2 }^( y )=x+4$

$\n \n x={ 2 }^( y )-4\n \n \therefore \quad { f }^( -1 )\left( x \right) ={ 2 }^( x )-4\n \n \therefore \quad { f }^( -1 )\left( 3 \right) ={ 2 }^( 3 )-4=4$

The value of f^-1(3) is 4