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lord [1]
2 years ago
9

Explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)​

Mathematics
1 answer:
laiz [17]2 years ago
4 0

The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

Given the expression 256 + 4. This can be solved using the partial sum expressed as:

256 + 4

256 + 4

= (200 + 40 + 16) + 4

According to the commutative property, A+B = B+A

The arrangement does not affect the result. Hence;

  • (200 + 40 + 16) + 4 = 4 +  (200 + 40 + 16)

Using the distributive law;

  • 4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)

Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

​Learn more on  partial sum  here: brainly.com/question/6958503

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Marianna [84]

The Associative Property say that it doesn't matter how we group the numbers (i.e. which we calculate first) when we add

(a + b) + c = a + (b + c)

The Commutative Property say we can swap numbers over and still get the same answer when we add

a + b = b + a

The Distributive Property:

a(b + c) = ab + ac

------------------------------------------

-3a + 4b + 5a + (-7b) = -3a + 5a + 4b + (-7b)

<h3>Answer: the commutative property</h3>
8 0
3 years ago
PLEASEEEE.. MY TEACHER IS ASKING FOR THE ANSWER ​
VARVARA [1.3K]

See attached graph: v is on the y-axis and t is on the x-axis

3 0
3 years ago
The exponential function f(x) = 2^x undergoes two transformations to
Eddi Din [679]

Option A: It is vertically stretched

Option B: it is shifted down

Solution:

The exponential function f(x)=2^{x}undergoes two transformations to   g(x)=5 \cdot 2^{x}-3.

<u>To determine how the graph changes:</u>

Consider the given exponential function f(x)=2^{x}.

Let y = f(x)

Vertically compressed or stretched:

A vertically compression (stretched) of a graph is compressing the graph toward x-axis.

• if k > 1 , then the graph y = k• f(x) , the graph will be vertically stretched by multiplying each y coordinate by k.

• if 0 < k < 1 if 0 < k < 1 , the graph is f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.  

• if k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.  

Here, k = 5  

So the graph will be vertically stretched.

Also, Adding 3 to the graph will move the graph 3 units down so, the graph is shifted down.

So, The graph is shifted down.  

Hence option A and option B is the correct answer.

5 0
3 years ago
Find the surface area of the cube shown.
Alja [10]

A=6a^2

A=6(5.5)^2

A=181.5

Hopefully I answered correctly.

8 0
3 years ago
Read 2 more answers
Help please!!!!!!!!!
Alenkasestr [34]

Answer:

B. x^{2} - 4x - 5

Step-by-step explanation:

(p о n) (x) is the same thing as (p(n(x))

We know n(x) = x - 5, so let's input that into our expression

(p(x - 5))

Since we know p(x) = x^2 + 6x, let's replace the x with the new value x-5. Now our expression is:

p(x) = (x - 5)^2 + 6(x - 5)

Now all we have to do is simplify.

(x - 5)^2 is the same as:  (x - 5)(x - 5)

Using the foil method, it simplifies to:  x^2 - 10x + 25

6 (x - 5) = 6x - 30

Now our expression is:  x^2 - 10x + 25 + 6x - 30

Combine like terms:  x^2 - 4x - 5

The expression is: x^{2} - 4x - 5

5 0
3 years ago
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