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Gnesinka [82]
3 years ago
10

What’s the slope of (-6,1/2) and (-4,3)

Mathematics
1 answer:
balu736 [363]3 years ago
4 0

Answer:

Use the slope formula to find the slope  m.

m  =  5 /4

Step-by-step explanation:

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WILL MARK BRAINLIEST <br><br> 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 \}}.


<em>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.</em>

6 0
3 years ago
What is the answer to eight times something that equals 16
Maurinko [17]
8 times 2 equals to 16
5 0
3 years ago
Read 2 more answers
HURRY I'LL PICK A BRAINLIEST PERSON!!!
mafiozo [28]
Hi!

I believe the answer is D , because the common denominator is 12 .

3 times 4=12
4 times 3=12
2 times 6= 12

You multiply each fraction by 12/1 .

Hope it helps and have a wonderful day !
5 0
3 years ago
Read 2 more answers
67. Find all points on the x-axis that are 5 units from the point<br> (4, -3).
Setler [38]

Answer:(9,2) I assume I don’t really understand the question

Step-by-step explanation:

5 0
3 years ago
What is 2 2/5×2 7/9 in simplest mixed number form?
Scorpion4ik [409]

Answer:

6 2/3

Step-by-step explanation:

2 2/5 * 2 7/9

Change each number to an improper fraction

2 2/5 = (5*2+2)/5 = 12/5

2 7/9 = (9*2+7) = 25/9

12/5 * 25/9

Rewriting

25/5  * 12/9

5/1 * 4/3

20/3

Now changing to a mixed number

3 goes into 20 6 times with 2 left over

6 2/3

7 0
3 years ago
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