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3 years ago

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explain why multiplying the numerator and the denominator of a fraction by the same number results in an equivalent fraction.

1 answer:

alisha [4.7K]3 years ago

7 0

Answer:

We also know that when you have the same numerator and denominator in a fraction, it always equals 1. For example: So as long as we multiply or divide both the top and the bottom of a fraction by the same number, it's just the same as multiplying or dividing by 1 and we won't change the value of the fraction.

Step-by-step explanation:

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lakkis [162]

<h2>▪Answer: Option D!</h2>

<h3>Explanation:</h3>

Given:

y = x +7
$y = {x}^{2} + 2x + 7$

<h2>Solution :</h2>

<em>Substitute</em><em> </em><em>y</em><em>=</em><em>x</em><em> </em><em>+</em><em> </em><em>7</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>equation</em><em>!</em>

<em> $y = {x}^{2} + 2x + 7$ </em>

<em> $\implies \: x + 7 = {x}^{2} + 2x + 7$ </em>

<em> $\implies \: {x}^{2} + 2x + 7 - x - 7 = 0$ </em>

<em> $\implies \: {x}^{2} + x = 0$ </em>

<em> $\implies \: x(x + 1) = 0$ </em>

<em> $\implies \: x = 0 \: or \: x = - 1$ </em>

<em>Now</em><em> </em><em>put</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>0</em><em> </em><em>in</em><em> </em><em>equation</em><em> </em><em>1</em><em>,</em>

y = x +7

=> y = 0+7

<em>=></em><em> y = 7</em>

Now put x=-1 in equation 1,

y = x+7

=> y = -1+7

<em>=> y = 6</em>

<h3>The solutions are :</h3>

<em>(</em><em>0</em><em>,</em><em>7</em><em>)</em><em> </em><em>and</em>
<em>(</em><em>-1</em><em>,</em><em> </em><em>6</em><em>)</em>

<h2><em>Option</em><em> </em><em>D</em><em>!</em></h2>

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3 years ago

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If g(x)=(x-3) exponent 2, what is the value of g(-9)

torisob [31]

Step-by-step explanation:

g(x) = (x - 3)²

g(-9) = (-9 - 3)²

g(-9) = (-12)²

g(-9) = 144

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2 years ago

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For which value or values are the expressions 15k + 9 and 3(2k + 3) + 9k equivalent? A) no values B) 3 C) 3,5 and 8 or D) all va

NeTakaya

15k + 9 = 3(2k + 3) + 9k
15k + 9 = 6k + 9 + 9k
15k + 9 = 15k + 9
0 = 0
D) all Values

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Step-by-step explanation:

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