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:

Step-by-step explanation:

oh yeh

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If f ( x ) = 3x² - 5x + 7 , Show that f ( -1 ) = 3 f ( 1 ) . Tysm :')

Lelechka [254]

Solution :

3x² - 5x + 7

put x = -1

3(-1)² - 5(-1) + 7

3(1) + 5 + 7

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Now, put x = 1

3(1)² - 5(1) + 7

3(1) - 5 + 7

3 + 2

here :

f(-1) = 15

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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 $7.506\times 10^5\ mm^2$