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2 years ago

Answer this and I’ll give more points!!

Mathematics

1 answer:

Igoryamba2 years ago

8 0

Answer:

(i) a∗b=a−b

Check commutative is

a∗b=b∗a

a∗b=a−b

b∗a=b−a

Since, a∗b



=b∗a

∗ is not commutative.

Check associative

∗ is associative if

(a∗b)∗c=a∗(b∗c)

(a∗b)∗c=(a−b)

∗

c=(a−b)−c=a−b−c

a∗(b∗c)=a∗(b−c)=a−(b−c)=a−b+c

Since (a∗b)∗c



=a∗(b∗c)

Step-by-step explanation:

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3 years ago

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A rectangular Corn Hole area at the Recreation Center has a width of 5 feet and a length of 10 feet. If

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Answer:

2 feet

Step-by-step explanation:

Let

x ----> the uniform amount added to each side

we know that

The algebraic expression that represent this situation is

$(5+x)(10+x)=84$

solve for x

Apply distributive property

$50+ 5x+10x+x^2=84\\x^2+15x-34=0$

solve the quadratic c equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

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$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+15x-34=0$

$a=1\\b=15\\c=-34$

substitute in the formula

$x=\frac{-15\pm\sqrt{15^{2}-4(1)(-34)}} {2(1)}$

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3 years ago

Write an exponential function of the form f(x) = ab* whose graph passes through the

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Answer:

Step-by-step explanation:

let f(x)=ab^x

when x=1,f(x)=6

6=ab

when x=2,f(x)=18

18=ab^2

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3 years ago