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3 years ago

Given f(x)-3X- 1 and g(x) = 2x-3, for which value of x does g(x) = f(2)?

Mathematics

1 answer:

Aleksandr [31]3 years ago

6 0

Answer:

x = 4

Step-by-step explanation:

You want x when ...

g(x) = f(2)

2x -3 = 3(2) -1

2x = 8 . . . . . . . . add 3, simplify

x = 4 . . . . . . . . . divide by 2

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Write an equation of the graph:

katrin [286]

1. To translate to the left, add to x.
The equation is: y = |x + 2|

2. To translate down, add to y.
The equation is: y + 2 = |x| OR y = |x| - 2 (subtract 2 from each side)

Hope this helps!

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28x%5E%7B2%7D%20%2Bx-3%29%3A%20%28x%5E%7B2%7D%20-4%29%5Cgeq%201" id="TexFormula1" title="(x^{

Jlenok [28]

Answer:

$x>2$

Step-by-step explanation:

When given the following inequality;

$(x^2+x-3):(x^2-4)\geq1$

Rewrite in a fractional form so that it is easier to work with. Remember, a ratio is another way of expressing a fraction where the first term is the numerator (value over the fraction) and the second is the denominator(value under the fraction);

$\frac{x^2+x-3}{x^2-4}\geq1$

Now bring all of the terms to one side so that the other side is just a zero, use the idea of inverse operations to achieve this:

$\frac{x^2+x-3}{x^2-4}-1\geq0$

Convert the (1) to have the like denominator as the other term on the left side. Keep in mind, any term over itself is equal to (1);

$\frac{x^2+x-3}{x^2-4}-\frac{x^2-4}{x^2-4}\geq0$

Perform the operation on the other side distribute the negative sign and combine like terms;

$\frac{(x^2+x-3)-(x^2-4)}{x^2-4}\geq0\\\\\frac{x^2+x-3-x^2+4}{x^2-4}\geq0\\\\\frac{x+1}{x^2-4}\geq0$

Factor the equation so that one can find the intervales where the inequality is true;

$\frac{x+1}{(x-2)(x+2)}\geq0$

Solve to find the intervales when the equation is true. These intervales are the spaces between the zeros. The zeros of the inequality can be found using the zero product property (which states that any number times zero equals zero), these zeros are as follows;

$-1, 2, -2$

Therefore the intervales are the following, remember, the denominator cannot be zero, therefore some zeros are not included in the domain

$x\leq-2\\-2$

Substitute a value in these intervales to find out if the inequality is positive or negative, if it is positive then the interval is a solution, if it is negative then it is not a solution. This is because the inequality is greater than or equal to zero;

$x\leq-2$ -> negative

$-2$ -> neagtive

$-1\leq x$ -> neagtive

$x>2$ -> positive

Therefore, the solution to the inequality is the following;

$x>2$

6 0

3 years ago

Rita is saving up 15,000 to put a down payment on a condominium. If he starts with 8,000 saved and saves an additional $850 each

belka [17]

I think there is more to the question, but the equation to solve for the number of months until Rita has enough money to put a down payment for a condominium is 15,000=8,000+850X

3 0

3 years ago

What’s one message you would tell your ex if you miss him/her a girl is heartbroken here get me in my feels XD

aalyn [17]

Answer:

Sadly all my exes were horrible and cheated on me however, I will tell you what I would say if I lost my current partner

Step-by-step explanation:

I regret not being there so much. I regret not loving you enough. I regret not holding you enough and not kissing you enough. I regret not spoiling you enough. I regret everything except loving you. I wish I could've given you the world like my promise and that was the biggest mistake yet.

6 0

3 years ago

Explain how using basic facts can help you find 10×20×30×40 mentally?

Katena32 [7]

So all you have to do is take the first numbers of each multiple and multiply them.
1 x 2 x 3 x 4 = 24
Now you just add the 4 zeros to your answer.
240,000

Our answer even checks!
10 x 20 x 30 x 40 = 240,000

Good Luck! :)

3 0

3 years ago