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BlackZzzverrR [31]
3 years ago
6

Let A be the set of all binary strings of length four. Define a function that maps A to the set {0, 1, 2, 3, 4} by letting f(s)

be what you get when you add up the digits making up the string s. Then the function f is not one-to-one

Mathematics
1 answer:
coldgirl [10]3 years ago
3 0

Answer:

  see the attachment

Step-by-step explanation:

One way to define the function is to list the output for each possible input. That is done below.

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2 u + 12 &lt; 23<br> 0,1 d + 8 &gt; 0<br> 3 - 4 r &gt; 7<br> 13 &lt; 2 z + 3<br> 6 ≥ 9 - 0, 15 i
BartSMP [9]

Answer:

Part 1) u< 5.5  

Part 2) d > -80

Part 3) r < -1

Part 4) z>5

Part 5) i\geq 20

Step-by-step explanation:

<u><em>The question is</em></u>

Solve each inequality for the indicated variable

Part 1) we have

2u+12

subtract 12 both sides

2u< 23-12\\2u

Divide by 2 both sides

u< 5.5

The solution is the interval (-∞,5.5)

In a number line the solution is the shaded area at left of u=5.5 (open circle)

The number 5.5 is not included in the solution

Part 2) we have

0.1d+8 >0

subtract 8 both sides

0.1d > -8

Divide by 0.1 both sides

d > -80

The solution is the interval (-80,∞)

In a number line the solution is the shaded area at right of d=-80 (open circle)

The number -80 is not included in the solution

Part 3) we have

3-4r> 7

Subtract 3 both sides

-4r>7-3\\-4r>4

Divide by -4 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

r < -1

The solution is the interval (-∞,-1)

In a number line the solution is the shaded area at left of r=-1.1 (open circle)

The number -1.1 is not included in the solution

Part 4) we have

13< 2z+3

Subtract 3 both sides

13-3

Divide by 2 both sides

5

Rewrite

z>5

The solution is the interval (5,∞)

In a number line the solution is the shaded area at right of z=5 (open circle)

The number 5 is not included in the solution

Part 5) we have

6\geq 9-0.15i

Subtract 9 both sides

6-9\geq -0.15i\\-3\geq -0.15i

Divide by -0.15 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

20\leq i

Rewrite

i\geq 20

The solution is the interval [20,∞)

In a number line the solution is the shaded area at right of i=20 (closed circle)

The number 20 is included in the solution

6 0
3 years ago
5.074 rounded to the nearest hundredth is
I am Lyosha [343]
5.07, the 4 is the thousands
8 0
3 years ago
Read 2 more answers
How many solutions does this system
mr Goodwill [35]
The answer is B.) one




Hope this helps :)
5 0
3 years ago
PLEASE HELP, ITS TIMED HURRY &gt;&gt;&gt;&gt;
tresset_1 [31]

Answer:2

Step-by-step explanation:

IM FAST RIGHT???

3 0
3 years ago
Read 2 more answers
I need the answer ASAP please help
Fantom [35]

Answer:

5 and 50

Step-by-step explanation:

Constant of proportionality=(10-5)/(2-1)=5

Distance is 5*10=50

5 0
2 years ago
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