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Wewaii [24]
3 years ago
12

The function g(x) is defined as shown.

Mathematics
2 answers:
Evgen [1.6K]3 years ago
4 0
G(x) = 6 - x for x = 3 and above.
Therefore, g(3) = 6 - 3 = 3
lubasha [3.4K]3 years ago
4 0

Answer:

3


Step-by-step explanation:

This is a piece-wise function. The domain [x-values] is broken down into parts.

<em>To evaluate this type of functions, we see in </em><em>WHICH PART</em><em> of the </em><em>DOMAIN</em><em> does the questions ask to look for.</em>

The question asks for g(3) , the value of the function at  x=3

<em>In which of the 3 parts does  x=3  fall into?</em>


The domain condition,  x\geq3  , in the last part tells us that it is GREATER THAN OR EQUAL TO 3. So  x=3  falls in this part of the function, which is  6-x

We can simply substitute 3 in x of that part and get our desired answer. So,

6-x\\6-(3)\\3

The value of g(3)=3

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Mr. miller has $25 in his savings and wants to put $10 every week into the account. write an equation showing how much money he
iris [78.8K]
The equation you write would be linear, and would be written in slope intercept form y=mx+b. Since Mr. Miller already has $25, we plug that in for "b" in the equation. We plug 10 in for "m", because "x" represents the number of weeks he has been saving. The equation would be y=10x+25. To find how much money Mr. Miller will have in 7 weeks, plug in 7 for x. y=10(7)+25 -> y=70+25 -> y=95 -> $95
7 0
2 years ago
A. (-10,-10)<br> B. (-1 /12, 9 1/2) <br> C. (1/2, 4) <br> D. (1,8)
lara31 [8.8K]

Answer:

I think The answer is ( -10, 10 )

5 0
1 year ago
Find the value of sin(a/2) if cosa= 12/13<br>​
daser333 [38]

Answer: sin\frac{a}{2} = ± \frac{1}{\sqrt{26} }

Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

⟹ sinA = ±\sqrt{(1-} \frac{cos2A}{2} )

As required,  set A = \frac{a}{2}   &   cos a=  \frac{12}{13}    ,thus we get

sin \frac{a}{2} =± \sqrt{\frac{1-cos a}{2} }  

∴ sin\frac{a}{2} =±\sqrt{\frac{1-\frac{12}{13} }{2} } = ± \frac{1}{\sqrt{26} }

   since ,360° < \frac{a}{2} <450°

             ,180° < \frac{a}{2} <225°

Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

   

5 0
2 years ago
Help me please help with this problem
vodomira [7]
It would be x=-4 have a good day
5 0
3 years ago
The Kendal Company manufactures automobile engine parts. Running the manufacturing operations requires 12 watts (units of electr
Monica [59]

24 because when you plug in 0 for both x and y:  

0=12(0)+24  

12*0=0, leaving you with 24.

4 0
2 years ago
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