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skad [1K]
2 years ago
11

Evaluating a piece-wise function. 10 pts

Mathematics
1 answer:
kozerog [31]2 years ago
4 0
1. Since -4 doesn’t equal -2, we will use the first function. All you have to do is plug in -4 to x, and you should get

-3

2. -2=-2, so we will use the second function to get the answer of

3

3. Once again we will be using the first function, so just plug 5 into the answer to get

-7.5

Hope this helped :)
You might be interested in
A rettangle is 10 inches smaller than it is wide. The perimeter of the
meriva

Answer:

A. Width = 25   Length = 15

Step-by-step explanation:

Length = L = Width - 10

Width = W

Perimeter of a rectangle

=> 2 (L + B) = 80

=> 2 (W - 10 + W) = 80

=> 2 (2W - 10) = 80

=> 4W -20 = 80

=> 4W -20 + 20 = 80 + 20

=> 4W = 100

=> 4W/4 = 100/4

=> W = 25

Width = 25

Length = 25 - 10 = 15

So, the answer is A.

6 0
3 years ago
PLEASE HELPP !! The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy knows the diagonal of the
EleoNora [17]

Answer:

a) d = 36 ft. ( using Pithagoras´theorem )

b) d = 36 ft  ( Using ( function sin ) trigonometry

Step-by-step explanation:

a) Using Pythagoras´Theorem:

Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.

d²  =  a²  +  b²  

In this particular case  a =  b  =  25 feet then

d² =  (25)²  +  ( 25)²

d  = √ 2 * (25)²

d  = √2   * 25

d  =  1,414*25

d  =  35,35

d = 36 ft.

b) Using trigonometry:

We know that sin 45° = cos 45° =  √2 / 2

In a right triangle

sin α  =  opposite side / hypothenuse (d)

sin 45°  =  √2 / 2   =  25/ d

√2 *d  =  2* 25

d  =  50/√2

d  =  50 / 1,414

d  =  35,36

d = 36 ft

6 0
3 years ago
Rewrite in simplest terms: 9(-9f-2)-9(5f+10)
Deffense [45]

Answer:-126f-108

Step-by-step explanation:

9(-9f - 2)-9(5f +10)

-81f - 18 -9(5f + 10)

- 81f - 18 - 45f -90

- 126f - 18 - 90

-126f -108

which give you the answer -126f - 108

7 0
3 years ago
(7+5) + 4 x 13-2<br> can someone please explain how to do this
Klio2033 [76]
P E M D A S

Parentheses first: 
So, 12 + 4 x 13 - 2
      12 +  52 - 2
      64 - 2
     62
8 0
3 years ago
I need help please and thank you
myrzilka [38]

Answer:

3

Step-by-step explanation:

Slope = y2- y1/ x2- x1

= 4 - (-2) / 3 -1

= 4+2/ 2

=6/2 = 3

4 0
3 years ago
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