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Solnce55 [7]
3 years ago
11

Mrs. Perez was looking at her bank account statement. She noticed that her beginning balance was $500 and she added nothing to h

er account. What was the ending balance on her statement? What property did you apply? a. $500; Commutative Property c. $500; Distributive Property b. $500; Associative Property d. $500; Identity Property of Addition
Mathematics
1 answer:
Irina18 [472]3 years ago
3 0
The answer would be d. Because the identity property of addition is that if you add zero to any number the number stays the same
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Answer:

C: 1/2

Step-by-step explanation:

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2 years ago
When the shape of a bst approaches that of a perfectly balanced binary tree, what is the worst case performance characteristic o
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7 0
2 years ago
Let A be a set of numbers.
LUCKY_DIMON [66]

Answer:

a. closed under addition and multiplication

b. not closed under addition but closed under multiplication.

c. not closed under addition and multiplication

d. closed under addition and multiplication

e. not closed under addition but closed under multiplication

Step-by-step explanation:

a.

Let A be a set of all integers divisible by 5.

Let x,y∈A such that x=5m\,,\,y=5n

Find x+y,xy

x+y=5m+5n=5(m+n)

So, x+y is divisible by 5.

xy=(5m)(5n)=25mn=5(5mn)

So,

xy is divisible by 5.

Therefore, A is closed under addition and multiplication.

b.

Let  A = { 2n +1 | n ∈ Z}

Let x,y∈A such that x=2m+1\,,\,y=2n+1 where m, n ∈ Z.

Find x+y,xy

x+y=2m+1+2n+1=2m+2n+2=2(m+n+1)

So,

x+y ∉ A

xy=(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1

So,

xy∈ A

Therefore, A is not closed under addition but A is closed under multiplication.

c.

Let A=\{2,5,8,11,14,...\}

Let x=2,y=5 but x+y=2+5=7∉A

Also,

xy=2(5)=10∉A

Therefore, A is not closed under addition and multiplication.

d.

Let A = { 17n: n∈Z}

Let x,y ∈ A such that x=17n,y=17m

Find x + y and xy

x+y=17n+17m=17(n+m)

xy=(17m)(17n)=289mn=17(17mn)

So,

x+y,xy ∈ A

Therefore, A is closed under addition and multiplication.

e.

Let A be the set of nonzero real numbers.

Let x,y ∈ A such that x=-1,y=1

Find x + y

x+y=-1+1=0

So,

x+y ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

Therefore, A is not closed under addition but A is closed under multiplication.

4 0
2 years ago
Write the equation of a line in slope intercept form given;<br> (6,-3), (0, 5)
olganol [36]

Answer:

y=(-4/3)x+5

Step-by-step explanation:

so you want to start by using y=mx+b

step one: find the slope (remember m is the slope in this)

m= \frac{y2-y1}{x2-x1}

m= \frac{5+3}{0-6}

m= \frac{8}{-6}

m= - \frac{4}{3\\}

step two: insert the value we found for m into the equation and take one of the given points and insert the x and y into the equation (im using (0,5)) and solve for b.

y=mx+b

5= -4/3(0)+b

5=b

step three: rewrite y=mx+b with the values we found for m and for b

y=(-4/3)x+5

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2 years ago
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Answer:

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Step-by-step explanation:

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