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ycow [4]
3 years ago
6

Evaluate the function

Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Answer:

Step-by-step explanation:

For a. you are asked to evaluate f(0).  This is a piecewise function with different domains for each piece of the function.  You can only evaluate f(0) in the function that has a domain that allows 0 in it.  In the first domain, it says

x < -3.  0 is not less than -3, so 0 is not in that domain, so you will not use that "piece" of the function to evaluate f(0).

In the next domain, it says that x is greater than or equal to -3 and less than 0.  Again, 0 is not included in that domain, so we can't use that "piece" of the function to evaluate f(0).

The last domain says that x is greater than OR EQUAL TO 0, so this is where we evaluate f(0):

f(0) = -0 - 4 so

f(0) = -4

When we want to evaluate f(2), we follow the same rules.  Find the piece of the function that allows 2 in its domain.  That's the middle piece:

f(2) = 2(2) - 6 so

f(2) = -2

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Hey! can u help me with this?! 6 divided by 3/5 in fraction form!?!?!!?
frutty [35]

Answer:

10/1

Step-by-step explanation:

You do

6÷ 3/5

Flip the 3/5 then multiply

6 ° 5/3

Reduce the numbers with the greatest common factor 3

So 2•5

And that's 10

4 0
3 years ago
Read 2 more answers
a pentagon is a regular pentagon that has 5 sides, so each side has the same length that is (x - 1.5)cm. The perimeter is 22.5 c
Ivanshal [37]

Answer:

Step-by-step explanation:

5(x - 1.5) = 22.5

5x - 7.5 = 22.5

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8 0
2 years ago
-3(8n - 5) - 2n = 8n - 21
BigorU [14]

Answer:

Step-by-step explanation:

First you do the parentheses so the -3 x 8n= -24 and -3 x -5= 15

so it will look like this. -24n+15-2n=8n-21

Now combine like terms the -24n-2n.

-26n+15=8n-21 now subtract 8n now it will look like this

-34n+15=-21 now -15 from -21

-34n=-36

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7 0
3 years ago
the length of a retangle is 4 inches greater than the width. the perimeter of the retangle is 24 inches. What are the dimensions
Marianna [84]
24 = 2w + 2(w+4) \\24 = 2w + 2w + 8 \\24 = 4w + 8 \\24 - 8 = 4w \\16 = 4w \\\tfrac{16}{4} = w 4 = w

The width is 4 inches, and length is 8 inches.
3 0
3 years ago
Mariana wears her winter coat when the temperature is colder than -4^{\circ}\text{C}−4 ∘ Cminus, 4, degrees, start text, C, end
Savatey [412]

Answer:

T < - 4°C

Step-by-step explanation:

Given that Mariana wears her coat only when temperature is colder than - 4°C

Recall that lower temperature values indicate higher degree of coldness ;

Hence, Mariana will only wear her coat when temperature values are lesser than - 4°C ; this means that the temperature at that period is colder than - 4°C.

Hence, the inequality expression which is only true for temperatures when Mariana wears her coat can be written as :

Temperature = T

T < - 4°C

5 0
3 years ago
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