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2 years ago

Pls help!!!! Will mark brainliest

Mathematics

1 answer:

Anni [7]2 years ago

4 0

Answer: D) 3x - 5

Step-by-step explanation:

f(x) - g(x)
f(x) = 1/2x - 3
g(x) = -5/2x + 2

Using the values of f(x) and g(x) gives us the equation:
1/2x - 3 - (-5/2x +2)

By distributing the negative sign, the signs on 5/2 and 2 are flipped, making them positive and negative respectively.

Our new equation is:

1/2x -3 + 5/2x -2
Adding up like numbers gives us:

6/2x - 5

Simplifying 6/2x => 3x

So our final equation is:

3x - 5
Hope this helps!

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A student concluded that the inequality −3+2y≤4x is equivalent to the inequality y≥2x+32, as shown below. Describe and correct t

timofeeve [1]

Answer:

$-3 +2y \leq 4x$

$2y \leq 4x+3$

$y \leq 2x + \frac{3}{2}$

And that's different from the claim of the student that:

$y \geq 2x +\frac{3}{2}$

The error of the student is that he/she changes the sign of the inequality from $\leq$ to $\geq$ and that's not possible since we don't multiply both sides of the equation by -1

Step-by-step explanation:

For this case we have the following inequality:

$-3 +2y \leq 4x$

We want to rewrite the last expression with y in the left and x in the right so we can begin adding 3 in both sides of the inequality and we got:

$2y \leq 4x+3$

Now we can divide both sides of the inequality by 2 and we got:

$y \leq 2x + \frac{3}{2}$

And that's different from the claim of the student that:

$y \geq 2x +\frac{3}{2}$

The error of the student is that he/she changes the sign of the inequality from $\leq$ to $\geq$ and that's not possible since we don't multiply both sides of the equation by -1

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3 years ago

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katen-ka-za [31]

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Step-by-step explanation:

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4 years ago

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Simplify the expression b+2/b^2-4

Lubov Fominskaja [6]

3b because b^2-4= 1/b. So 2/1/b= 2b b+2b = 3b