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3 years ago

Use the expression 14x + 28y + 21

Mathematics

1 answer:

musickatia [10]3 years ago

6 0

Answer:

A) 7 is the greatest common factor of the expression.

B) factoring the expression $14x + 28y + 21$ we get $\mathbf{7(2x+4y+3)}$

Step-by-step explanation:

We are given the expression: $14x + 28y + 21$

Part A: What is the greatest common factor of the expression?

We need to find the greatest common factor of the expression.

The expression is divisible by 7

So, 7 is the greatest common factor of the expression.

Part B: Factor the expression

We need to factor the expression: $14x + 28y + 21$

Taking 7 common:

$14x + 28y + 21\\=7(2x+4y+3)$

So, factoring the expression $14x + 28y + 21$ we get $\mathbf{7(2x+4y+3)}$

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Answer:

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Step-by-step explanation:

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Plugging these value in equation we get,

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Now, we will find the value of $a$

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$2.75=a(5-(-0.5))^2+2.3\\\\2.75=a(5+(0.5))^2+2.3\\\\2.75=a(5.5)^2+2.3\\\\2.75=a\times30.25+2.3\\\\2.75-2.3=a\times30.25\\\\0.45=a\times30.25\\\\\frac{0.45}{30.25}=a\\ \\a=0.0149$

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So, the equation of parabola with vertex $(-\frac{1}{2},2.3)$ and passes through the point $(5,2\frac{3}{4})$ is

$y=0.0149(x+0.5)^2+2.3$ ≅ $y=0.015(x+0.5)^2+2.3$

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