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2 years ago

Y varies directly as x, if y=12 when x=5, find y when x=3

Mathematics

1 answer:

morpeh [17]2 years ago

8 0

Answer:

y = 36/5

Step-by-step explanation:

The formula for direct variation is

y = kx where k is a constant

We know y =12 and x= 5

12 = k*5

12/5 = k

The formula is

y = 12/5 x

Now find y = when x=3

y = 12/5 *3

y = 36/5

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Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check

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<h3>1. The term $-2(x-2)^2$ is simplified by first squaring the expression (x – 2). </h3><h3>TRUE </h3><h3>2. The simplified product is a binomial. TRUE</h3><h3>3. After multiplying, the like terms are combined by adding and subtracting.</h3><h3>TRUE </h3><h3>4. The parentheses are eliminated through multiplication. TRUE</h3><h3>5. The final simplified product is $-28x^2 + 8x - 8$ FALSE</h3>

Step-by-step explanation:

Here, the given expression is :

$F(x) = 3x(x- 12x) + 3x^2-2(x-2)^2$

Now, let us first solve the given expression step wise:

$F(x) = 3x(x-12x) +3x^2 -2(x-2)^2\\= 3x(-11x) +3x^2 -2(x^2 +4 -4x)\\= -33x^2 + 3x^2 -2x^2 -8+8x\\= -32x^2 +8x - 8\\\implies F(x) = -32x^2 +8x - 8$

Now, here the given statements are:

1. The term $-2(x-2)^2$ is simplified by first squaring the expression (x – 2).

TRUE

2. The simplified product is a binomial. TRUE

3. After multiplying, the like terms are combined by adding and subtracting.

TRUE

4. The parentheses are eliminated through multiplication. TRUE

5. The final simplified product is $-28x^2 + 8x - 8$ FALSE

As the simplified expression is: $(-32x^2 +8x -8)$

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3 years ago

HELP PLEASEEE AND ANSWER FAST!:))

kodGreya [7K]

I don't get it, what are you suppose to do?

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