How can properties of operations help to generate equivalent expressions that can be used in solving problems ?

1 answer:

6 0

I’m not the best at math, but ⬇️

For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y

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A line with the slope of 1 passes thorough the point ( 8, 1 ) . What is it’s equation in slope intercept form?

ella [17]

First we need to define this equation using point slope form.

Point slope form is represented by the following (x₁ and y₁ represent the given points, and m represents slope)

$Y-Y_1 = m(X-X_1)$

So if we plug in our values, we get

$Y-1 = 1(X-8)\\Y-1 = X-8$

Now, in order to get it into slope-intercept form, we must isolate the Y value

$Y-1 = X-8\\Y= X-7$

So the equation is

Y = X-7

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Hunter-Best [27]

Answer:

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If p(x)=2x^2-4 and q(x)=x-3, what is (p•q)(x)

olasank [31]

(p of q)(x) means that q(x) is inserted into p(x).

p(q(x)) = 2(x - 3)^2 - 4

Expand (x - 3)^2.

p(q(x)) = 2(x^2 - 6x + 9) - 4

p(q(x)) = 2x^2 - 12x + 14

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If c=5 and d=4<br> what is 6c squared minus 5d plus 8?

Ymorist [56]

6c^2-5d+8
6 (5)^2-5(4)+8
30^2-20+8
900-20=8
880-8=872
ANSWER:872

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The system of equations has 2x-y=2(x+1) y=-2

sleet_krkn [62]

Answer:

Step-by-step explanation:

This equation has no solution.

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