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inysia [295]
3 years ago
8

Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below.

Mathematics
1 answer:
JulijaS [17]3 years ago
6 0
A:

(f+g)(x)=f(x)+g(x)

(f+g)(x)=4x-5+3x+9

(f+g)(x)=7x+4

B:

(f•g)(x)=f(x)•g(x)

(f•g)(x)=(4x-5)(3x+9)

(f•g)(x)=12x^2-15x+36x-45

(f•g)(x)=12x^2+21x-45

C:

(f○g)(x)=f(g(x))

(f○g)(x)=4(3x+9)-5

(f○g)(x)=12x+36-5

(f○g)(x)=12x+31


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The table shows information about the masses of some dogs. a) Work out the minimum number of dogs that could have a mass of more
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Information regarding various dogs' masses is displayed in the table.

(a) 4 bare minimum number of dogs that could weigh more than 27 kg.

(b) 17 dogs, in total, may weigh more than 27 kg.

Given that,

Information regarding various dogs' masses is displayed in the table.

(a)Calculate the bare minimum number of dogs that could weigh more than 27 kg.

(b)Calculate how many dogs, in total, may weigh more than 27 kg.

(a) 4 bare minimum of dogs that could weigh more than 27 kg.

Because the minimum number so lets assume that all dogs in 20≤x<30 are less then 27.

Therefore, 4 bare minimum of dogs that could weigh more than 27 kg.

(b) 17 dogs, in total, may weigh more than 27 kg.

Because the maximum number so lets assume that all dogs in 20≤x<30 are more then 27.

4+13=17

Therefore,17 dogs, in total, may weigh more than 27 kg.

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6 0
1 year ago
A. 6.3 <br> B. 4.5 <br> C. 7.2<br> D. 5.4
Nitella [24]
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7 0
3 years ago
a carton can hold 1000 unit cubes that measure 1 inch by 1 inch by 1 inch describe the dimensions of the card using the unit cub
labwork [276]
Since the carton can hold 1000 units of the cubes.

Each unit of cube = 1inch * 1inch *1inch = 1inch³

Total volume = 1000 * 1inch³ = 1000 inch³

To get the dimension:  The carton would take the shape of a cube.

Let each side be x.

x*x*x = 1000

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The dimension of the carton is 10 inches by 10 inches by 10 inches
7 0
3 years ago
Two sides of an isosceles triangle measures 26 and 10. What is the possible value of the third side?
spin [16.1K]

The third side of the triangle is 26.

Explanation:  

Given:

Two sides of the isosceles  triangle are 26 and 10.  

To Find:

The possible value of the third side

Solution:

Definition of Isosceles  triangle:

An isosceles triangle is a triangle with (at least) two equal sides. Isosceles triangle  has both two equal sides and two equal angles.

We also know the property of the triangle that  

Sum of two sides of triangle > third side of the triangle  

Case1. When third side is 10

Thee third side can’t be equal to 10 because it does not follow the rule of triangle  

10+10>26………which is  not possible

So the third side of the isosceles triangle is 26.

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3 years ago
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