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beks73 [17]
2 years ago
13

Find a set of four integers such that their order and the order of their absolute values are the same.

Mathematics
1 answer:
Vinvika [58]2 years ago
8 0

If you pick only positive numbers, the absolute value will have no effect, and the original set and the set of the absolute value will be exactly the same:

A = \{1,2,3,4,5\}

is still

A = \{|1|,|2|,|3|,|4|,|5|\} = \{1,2,3,4,5\}

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Express as a difference: a+b, a+5
Tcecarenko [31]

Answer:

a - (-b), a - (-5)

Step-by-step explanation:

A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.

6 0
3 years ago
Using f(x) = 8x + 5 and g(x) = 7x - 2, find:g(f(6))
iren2701 [21]

Answer:

369

Step-by-step explanation:

g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).

and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).

f(6) = 8×6 + 5 = 48 + 5 = 53

and now

g(53) = 7×53 - 2 = 371 - 2 = 369

to check we do the general functional substitution :

g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33

g(f(6)) = 56×6 + 33 = 336 + 33 = 369

correct

5 0
2 years ago
Whats 9+10???? i really need to know this
madreJ [45]

Answer:

19

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How do i rewrite this in function form ?
Tema [17]
So now its-x + y = 6 

but you want it in y=mx+b so 

add x to both sides so that you have y on its own 
so now it's y = 6+x


4 0
2 years ago
Angle θ is in standard position. If tan ⁡ θ < 0 and cos ⁡ θ = − 4/5 , find sin ⁡ θ .
Pani-rosa [81]

Answer:

The value found is.

sin θ = 0.6

Step-by-step explanation:

We know that the value of cosθ is given -4/5

cosθ = -4/5

First, lets finds the angle θ by taking inverse of cosine of -4/5

θ = cos⁻¹ (-4/5)

θ = 143.13°

Substitute the found θ = 143.13° it in tanθ to see if satisfies the equation tanθ < 0:

tanθ < 0

tan(143.13°) < 0

-0.75 < 0

Hence the equation is satisfied.

Which means that θ is equals to 143.13° and can be used to find sinθ

sinθ = sin 143.13°

sin 143.13° = 0.6

6 0
3 years ago
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