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3 years ago

(2×4)×7=2×(7×4) what property does this demonstrate

2 answers:

8 0

Well,

As we can see, the only difference is that the parentheses have moved.

This is an example of the associative property. It is specifically of multiplication, because products are used in this case.

Just as a test, let's see whether they are really equal.

Following PEMDAS, we get:
(2*4)7 = 2(7*4)
(8)7 = 2(28)
56 = 56

They are equivalent.

Inessa [10]3 years ago

7 0

Associative property of multiplication

The property states:
a*(b*c)=(a*b)*c
Basically says no matter how the numbers are grouped you will get the same answer.

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Lapatulllka [165]

the answer is 210 yards/ min.

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3 years ago

You have a $10 balance in your checking account and you write a check for $12, what is your new balance?

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2 years ago

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Identify the vertex and directrix of each. y = x2 + 2x - 4

sergey [27]

Answer:

See below

Step-by-step explanation:

Convert equation to vertex form $y=(x-h)^2+k$ by completing the square:

$y=x^2+2x-4$

$y+5=x^2+2x-4+5$

$y+5=x^2+2x+1$

$y+5=(x+1)^2$

$y=(x+1)^2-5$

Vertex:

$(h,k)\rightarrow(-1,-5)$

Directrix:

$y=k-\frac{1}{4a}\rightarrow y=-5-\frac{1}{4(1)}\rightarrow y=-\frac{21}{4}$

8 0

2 years ago

1. If x³ +3x²-4=0 has x=-2 as a root (zero), find the other two roots.

castortr0y [4]

Answer:

1 and -2 (has a multiplicity of 2)

Step-by-step explanation:

so since x=-2 is a root then (x+2) is a factor of the polynomial. This means you can divide the polynomial by (x+2) by using synthetic or long division. So for this example I'll using synthetic division which is much more simple than long division

-2 | 1 3 0 -4

-2 -2 4

1 1 -2 0

(x+2)(x²+x-2)

Now you can factor the quadratic into

(x+2)(x-1)

x+2 = 0

x = - 2

x-1 =0

x = 1

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2 years ago