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Mathematics

1 answer:

Harman [31]3 years ago

3 0

Answer:

The required expression is: $\mathbf{\frac{5(x+y)}{-8x}}$

Option C is correct option.

Step-by-step explanation:

We need to find the equation that fits the description.

a) the expression is the quotient of two quantities

The quotient is expressed as $\frac{a}{b}$

where a is numerator and b is denominator

b) The numerator of the expression is product of 5 and the sum of x and y

Sum of x and y = x+y

Product of 5 and Sum of x and y = 5(x+y)

So, Numerator of the expression is 5(x+y)

c) The denominator is the product of negative 8 and x

Product of negative 8 and x = -8x

So, denominator of the expression is -8x

Now, The required expression is: $\mathbf{\frac{5(x+y)}{-8x}}$

Option C is correct option.

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20 POINTS!!!!! w + 4 = - 6

Rus_ich [418]

Answer: w= -10

Step-by-step explanation: move all terms not containing w to the right side of the equation

5 0

3 years ago

I don’t understand this one

Masja [62]

Answer:

see below

Step-by-step explanation:

Put -1 where x is in each expression and evaluate it.

You will find that the expression is zero when the numerator is zero. And you will find the numerator is zero when it has a factor that is equivalent to ...

(x +1)

Substituting x=-1 into this factor makes it be ...

(-1 +1) = 0

Evaluating the first expression, we have ...

$\dfrac{4(x+1)}{(4x+5)}=\dfrac{4(-1+1)}{4(-1)+5}=\dfrac{4\cdot 0}{1}=0$

This first expression is one you want to "check."

You can see that the reason the expression is zero is that x+1 has a sum of zero. You can look for that same sum in the other expressions. (The tricky one is the one with the factor (x -(-1)). You know, of course, that -(-1) = +1.)