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vlada-n [284]
3 years ago
7

Give a verbal description of the following absolute value function f(x) = 3 | x - 5 | + 4

Mathematics
1 answer:
lisov135 [29]3 years ago
7 0

Answer:

It is the distance of x from zero. Examples:The absolute value

of 5 is 5.

The absolute value of -10 is 10.

(Complex numbers) The absolute value of 4 + 3 is 5.

Step-by-step explanation:

You might be interested in
Given that the triangles are similar, find the value of x. Find the length of NR.<br> S<br> T<br> 40<br> 60<br> R<br> 2x-2<br> 8
andrew-mc [135]

Answer:

NR = 12

Step-by-step explanation:

Given that both trjangles are similar, therefore, it follows that their corresponding side lengths would be proportional to each other. Thus:

\frac{40}{8} = \frac{60}{2x - 2}

5 = \frac{60}{2x - 2}

Cross multiply

5(2x - 2) = 60

10x - 10 = 60

10x = 60 + 10 (addition property of equality)

10x = 70

Divide both sides by 10

x = 7

✔️NR = 2x - 2

Plug in the value of x

NR = 2(7) - 2 = 14 - 2

NR = 12

6 0
3 years ago
14 divided 3/11 +14 x
slamgirl [31]

Answer:

14x+14/33

Step-by-step explanation:

14÷3/11+14x=

5 0
3 years ago
A rectangular garden has vertices at (4, 3), (6, 3), (6, 9), and (4, 9). Plot each vertex of the garden.
kati45 [8]

Answer:

Step-by-step explanation:

A rectangular garden has vertices at

(x = 4, y = 3), (x = 6, y = 3), (x = 6, y = 9), and (x = 4, y = 9).

To plot each vertex of the garden find on the graph the x and y coordinate of the point and mark the point.

3 0
2 years ago
Third-degree, with zeros of −3 , − 2 , and 1 , and passes through the point ( 3 , 11 ) .
Masja [62]

Answer:

y  =   ( x + 3 ) *  ( x +  2 ) * ( x - 1 )* 11/60

Step-by-step explanation:

Lets   y  =  f(x)   in a cartesian coordinates

Having three zeros:

x = -3       ⇒   x  = -2      ⇒   and   x = 1  

That meas that if   x  takes the above mentioned  values " y " must be zero

therefore  y  must be of the form

f (x)  =  y  =  ( x + 3 ) *  ( x +  2 ) * ( x - 1 )     (1)

In that case for y to be zero one of the factors should be zero or

y  =  0        x  + 3 = 0    and  x = - 3  is a zero of the function y .

The same reasoning applies for the other two roots

Now we have to evaluate the other condition.

According to problem statement the function passes through the point ( 3, 11 ) , that means that when x =  3 ,  y have to be 11, therefore we plug in equation (1)  that value to see what happens

y  =   ( x + 3 ) *  ( x +  2 ) * ( x - 1 )

11  =  ( 3 + 3 ) * ( 3 + 2 ) + ( 3 - 1)   =  6*5*2  = 60

Then we adjust the expression (1) to meet the condition of the function passing through point  ( 3 , 11) as:

y  =  ( 3 + 3 ) * ( 3 + 2 ) + ( 3 - 1) * 11/60    (2)

and check to see if we did right

for y to be zero      x   can be    x = - 3    x  =  -2   and  x = 1 in all these cases y = 0.  And if  x  =  3   in equation (2)  y = 11. And that what we want to shown. Then the solution is:

y  =   ( x + 3 ) *  ( x +  2 ) * ( x - 1 )* 11/60

8 0
3 years ago
What is the domain of the sine and cosine functions?
tatiyna

Remember that the domain is all possible x values of a function. In the case of sine and cosine functions, they go up and down (like waves), but go on forever. Therefore, the domain is all real numbers.

Correct Answer: B, All Real Numbers

Hope this helps!

6 0
3 years ago
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