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lapo4ka [179]
2 years ago
11

Matrix, help.

Mathematics
2 answers:
attashe74 [19]2 years ago
8 0

Answer:

i knew it but i forgot

Step-by-step explanation:

alisha [4.7K]2 years ago
4 0

Answer:

8

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
2 years ago
Q3: Mathew bought 5 video games for $72. If each video cost the same price, which of the following Is true? Choose all that appl
Makovka662 [10]

Answer:

the unit rate is 14.40 and the rate is dollars/video

6 0
3 years ago
a line passes through the point (6, -9) and has a slope of 3/2. write an equation in point-slope form for this line
Stella [2.4K]
Y=3/2x is the  answer
3 0
2 years ago
Read 2 more answers
‼️‼️‼️‼️‼️ is two correct? Also what’s number 3?‼️‼️‼️‼️
LenaWriter [7]

Answer:

C) P AND E

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A pair of snow boots at an equipment store in Big Bear that originally cost $60 is on sale for 40% off. Then, you have a coupon
alexandr1967 [171]

Answer:

$30 i think

Step-by-step explanation:

because %40+%10=%50

and %50 is half of %100 so 60-(60×(50%)=30

sorry is its wrong

5 0
3 years ago
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