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nadya68 [22]
3 years ago
8

The function h(x) is defined as shown.

Mathematics
2 answers:
pav-90 [236]3 years ago
6 0
1. For x<3, h(x)=x+2

now x+2 is an increasing line (a practical way to check, h(1)=3, h(2)=4)

the largest value it takes is at 3, not inclusive, so h(3)=5 not inclusive.

Range_1= (-∞, 5)

2. for x> or equal to 3, h(x)=-x+8, which is a decreasing line (check h(4)=4, h(5)=3 )

so this line takes its maximal value at x=3, f(3)=5 and then takes any other value to -∞.

Range_2=(-∞,5]

3. Range(h)=Range1∪Range2=(-∞, 5)∪(-∞,5]=(-∞,5]      (B)
Yuri [45]3 years ago
5 0

Answer:

b

Step-by-step explanation:

oh yeh

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If f ( x ) = 3x² - 5x + 7 , Show that f ( -1 ) = 3 f ( 1 ) .<br><br><br><br><br>Tysm :')​
Lelechka [254]

Solution :

  • 3x² - 5x + 7

put x = -1

  • 3(-1)² - 5(-1) + 7

  • 3(1) + 5 + 7

  • 3 + 12

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Now, put x = 1

  • 3(1)² - 5(1) + 7

  • 3(1) - 5 + 7

  • 3 + 2

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here :

  • f(-1) = 15

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4 0
2 years ago
Find 4ab when (a+b)=15 and (a-b)=12
Volgvan
A + b = 15 ..... eq 1
a – b = 12 ...... eq 2

So a = 15 – b
Substitute in eq 2 :

15 – b – b = 12
15 – 2b = 12
–2b = 12 – 15
b = 1.5

So a = 15 – 3/2 = 13.5

4ab = 4 x 13.5 x 1.5 = 81
4 0
3 years ago
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A large cube is made up of many small cubes. The volume of the large cube is 7.506×10^5mm^3. The volume of each small cube is 2.
irakobra [83]

Answer:

27 small cubes

Step-by-step explanation:

Given that,

The volume of the large cube is 7.506\times 10^5\ mm^2

The volume of small cube is 2.78\times 10^4\ mm^2

We need to find how many small cubes make up the large cube. Let there are n small cubes. So, it can be calculated as follows :

n=\dfrac{7.506\times 10^5}{2.78\times 10^4}\\\\n=27

So, there are 27 small cubes that make up of the large cube.

8 0
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Check attachment for solution

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