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3 years ago

10

Determine which relations represent function if relation is not a function state why not

2 answers:

goldenfox [79]3 years ago

8 0

You can determine whether each element of the domain is paired with exactly one element of the range. For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.

Pachacha [2.7K]3 years ago

4 0

Where are the questions?

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Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

4 0

4 years ago

What is the equation of the linear function ?

zubka84 [21]

Answer:

B: -1/2x +3

Step-by-step explanation:

the graph is up 3 units, making the +3. Rise/run to determine slope. it rises 1 unit for every 2 units it runs. i

3 0

3 years ago

...............................................

slavikrds [6]

What exactly are you asking?

5 0

3 years ago

-1/2 + ( 3/4 x 4/9)= <br><br><br><br>

Bogdan [553]

Answer:

Too tired to explain, here's some digital steps by Symbolab:

6 0

3 years ago

A car traveling at 30 miles per hour requires 90 feet to come to a cineplete stop d=distance s=speed and m is the constant

NeTakaya

just plug in the information:

d=90

s=30

so 90=m*30^2

90=m*900

now divide both sides by 900 to get m

m=0.1

6 0

3 years ago