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3 years ago

the sum of three and a number is added to twenty four translate into an algebraic expression then simplify

Mathematics

2 answers:

asambeis [7]3 years ago

3 0

(3 + n) + 24
27 + n or n + 27

Mamont248 [21]3 years ago

3 0

"the sum of three and a number," expressed algebraically, is "3+x," where x represents the unknown number. Adding this to 24 results in 3+x+24.
Can you simplify this? Note: You can NOT solve for x. Just simplify.

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Let x²y +ay² = b be an Implicitly defined function, where a and b are fixed Constants; find dy/dx

geniusboy [140]

The value of the differential with respect to x is -xy/x²+ay

<h3>Implicit differentiation</h3>

Given the following function

x²y +ay² = b

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2 years ago

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What is a solution to (x + 6)(x + 2) = 60?

Reika [66]

Solution of the equation $(x+6)(x+2)=60$ is x=4 and x=-12

Step-by-step explanation:

We need to solve the equation: $(x+6)(x+2)=60$

Solving:

$(x+6)(x+2)=60$

Multiplying terms on the left hand side

$x(x+2)+6(x+2)=60$

$x^2+2x+6x+12=60$

$x^2+8x+12=60$

$x^2+8x+12-60=0$

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Now factorizing:

$x^2+12x-4x-48=0$

$x(x+12)-4(x+12)=0$

$(x-4)(x+12)=0$

$(x-4)=0\,\,and\,\,(x+12)=0$

$x=4\,\,and\,\,x=-12$

So, solution of the equation $(x+6)(x+2)=60$ is x=4 and x=-12

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