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Eva8 [605]
3 years ago
14

For the piecewise function, find the values g(-2), g(3), and g(4).

Mathematics
1 answer:
miv72 [106K]3 years ago
4 0

Answer:

g(-2)= -2 + 5 =3  ( here we chose the function g(x)= x+5 as x< 3)

Step-by-step explanation:

g(3)= is not defined ( function is defined for x<3 and x>3 but not x=3)

g(4) = 6-4=2 ( here we chose the function g(x)= 6-x as x> 3)

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A rectangle with dimensions of 3 units by 7 units is enlarged by a scale factor of 1.1. By what percent does it’s area increase?
Ratling [72]

Answer:

21\%

Step-by-step explanation:

Original dimensions of the rectangle

l=7\ \text{units}

w=3\ \text{units}

Area of the rectangle

A=7\times 3=21\ \text{units}^2

Scale factor = 1.1

New dimensions

l'=7\times 1.1=7.7\ \text{units}

w'=3\times 1.1=3.3\ \text{units}

The new area of the rectangle

A'=7.7\times 3.3=25.41\ \text{units}^2

Percentage change is given by

\dfrac{A'-A}{A}\times 100\\ =\dfrac{25.41-21}{21}\times 100=21\%

The percentage by which the area of the rectangle increases is 21\%.

8 0
3 years ago
Angela is taping 7 boxes for storage. She uses 1 1/2 feet of tape to close each box how much tape will Angela need to tape the b
Mrrafil [7]

Answer:

B. 10 1/2 feet

Step-by-step explanation:

We are told that she taped 7 boxes.

We are also told that she uses 1 1/2 feet of tape to close each box.

Therefore, the length of tape she will need to use for the 7 boxes will be the product of 7 boxes and 1 1/2 feet of tape per box:

L = 1 1/2 * 7 = 3/2 * 7 = 21/2 = 10 1/2 feet.

She will need to use 10 1/2 feet of tape.

5 0
3 years ago
If the area of quadrilateral SODA is 60, find the value for a
Yuri [45]

Answer: the answer is 7

Step-by-step explanation:

Area of quadrilateral= Length x Width

a+5 times a-2 = 60 which is the area

7+5 times 7-2= 60

12 times 5= 60

Therefore, a equals 7

8 0
3 years ago
What is the value of g(f(-5))?
fredd [130]

Replace x in the equation for f(x) with -5:

|2x +9| = |2(-5) +9| = |-10 +9| = |-1| = 1

Now find x 1 and see where the graph of G(x) crosses the Y :

It crosses ay Y = 5

The answer is A. 5

8 0
3 years ago
Help pleaseeeeeee !,!!!
dsp73

Answer is C :) You just look at which three years r closest to the average line they give you

7 0
4 years ago
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