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2 years ago

Math problem help me. I got it wrong I think

Mathematics

1 answer:

lukranit [14]2 years ago

8 0

Answer:

The answer is B

Step-by-step explanation: After solving this equation using y=mx+b

I got y=-4x+7

So they give us the slope which is negative 4

so you would throw in the x coordinate with the slope and multiply to get y=-12+7

then you would use the y coordinate to substitute the Y

-5=-12+7

i add twelve on both sides and end up with the y intercept being 7]

so I add them into the equation and got y=-4x+7

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WILL MARK BRAINLIEST what is the domain of (f/g) (x)?

tatyana61 [14]

Given that $f(x) = \sqrt{7-x}$ and $g(x) = \sqrt{x + 2}$ , we can say the following:

$\Bigg(\dfrac{f}{g}\Bigg)(x) = \dfrac{f (x)}{g(x)} = \dfrac{\sqrt{7 - x}}{\sqrt{x+2}}$

Now, remember what happens if we have a negative square root: it becomes an imaginary number. We don't want this, so we want to make sure whatever is under a square root is greater than 0 (given we are talking about real numbers only).

Thus, let's set what is under both square roots to be greater than 0:

$\sqrt{7 - x} \Rightarrow 7 - x \geq 0 \Rightarrow x \leq 7$

$\sqrt{x + 2} \Rightarrow x + 2 \geq 0 \Rightarrow x \geq -2$

Since both of the square roots are in the same function, we want to take the union of the domains of the individual square roots to find the domain of the overall function.

$x \leq 7 \,\,\cup x \geq -2 = \boxed{-2 \leq x \leq 7}$

Now, let's look back at the function entirely, which is:

$\Bigg( \dfrac{f}{g} \Bigg)(x) = \dfrac{\sqrt{7 - x}}{\sqrt{x+2}}$

Since $\sqrt{x + 2}$ is on the bottom of the fraction, we must say that $\sqrt{x + 2} \neq 0$ , since the denominator can't equal 0. Thus, we must exclude $\sqrt{x + 2} = 0 \Rightarrow x + 2 = 0 \Rightarrow x = -2$ from the domain.

Thus, our answer is Choice C, or $\boxed{ \{ x | -2 < x \leq 7 \}}$ .

If you are wondering why the choices begin with the $x |$ symbol, it is because this is a way of representing that $x$ lies within a particular set.

6 0

2 years ago

Evaluate the expression for the given value of x. 6x + 7 for x = 2 The solution is

pav-90 [236]

Answer:

6x + 7

6 * 2

12 + 7

=19

Step-by-step explanation:

4 0

2 years ago

A fruit punch uses 1.5 cups of orange juice for every cup of apple juice.

timofeeve [1]

Are there any answer choices

6 0

2 years ago

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Convert 12.4 pounds to ounces?

raketka [301]

Answer:

198.4 ounches is the real answer

4 0

2 years ago

Helppppp me find a equation for this lol

LUCKY_DIMON [66]

Answer: One POSSIBLE answer is (0,9)

Step-by-step explanation: This may look hard but it's actually super easy. All you have to do is substitute a value for x and see what you get as the y value. The first thing I would do is rearrange the equation so that the equation is in the format y = something. So the first thing you should do is subtract 6x from both sides of the equation and you should get -y=-6x+9. Right now, the y is being multiplied by -1, and to undo multiplication, you have to divide. So divide both sides of the equation by -1 (remember, what you do on one side of the equation, YOU HAVE TO DO THE SAME THING ON THE OTHER SIDE). So your new equation would be y=6x-9. Then, all you have to do is substitute a value for x and see what you get for y (x is basically the input and whatever you get for y is the output). S for example, let's say that x=0. So substitute a 0 in the equation wherever you see an x. So in this case, you would get y=(6x0)+9. Then you just simplify. So 6x0 is 0 and 0+9=9 So y=9

TO RECAP: Rearrange the equation so that the equation is in the format y = something. Then, input any number for x, and whatever you get for y is what you put in the brackets as your y value for your final answer.

Hope this helps!

6 0

2 years ago

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