(5x2 − 9x + 2) + (−3x2 + 2x + 4)

1 answer:

3 0

Eliminate redundant parentheses
(5x 2 - 9x +2 ) + ( -3x2 + 2x 4)
5x 2-9x+2 -3x2+ 2x +4

Add the numbers
5x2 -9x +2 -3x2 +2x+4
5x2 -9x +6 -3x2 + 2x

Combine like terms
5x2 -9x +6 - 3x2 +2x
2x2 -9x +6 + 2x

Combine like terms
2x2 -9x +6 +2x
2x2 -7x +6

Solution
2x2 - 7x +6

You might be interested in

Solve with solution...no spam answers pls

Agata [3.3K]

Let's analyze Hannah's work, step-by-step, to see if she made any mistakes.

In Step 1, Hannah wrote $\dfrac{d}{dx} (-3+8x)$ as the sum of two separate derivatives $\dfrac{d}{dx}(-3)+ \dfrac{d}{dx} (8x)$ using the sum rule.

This step is perfectly fine.

In Step 2, $\dfrac{d}{dx}(8x)$ was kept as it is, and $\dfrac{d}{dx}(-3)$ was rewritten as $0$ using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.

This step is perfectly fine.

In Step 3, $\dfrac{d}{dx} (8x)$ was rewritten as $\dfrac{d}{dx}(8) \dfrac{d}{dx}(x)$ supposedly using the constant multiple rule.

The problem is that according to the constant multiple rule, $\dfrac{d}{dx}(8x)
$ should be rewritten as $8 \dfrac{d}{dx}(x)$ and not as $\dfrac{d}{dx}(8)\dfrac{d}{dx}(x)$ .

Therefore, Hannah made a mistake in this step.

6 0

3 years ago

Read 2 more answers

P(Q) = 12/17 P(R) = 3/8 If Q and Rare independent events, find the PQ and R).

kodGreya [7K]

Answer:

9/34

Step-by-step explanation:

P(QnR) = P(Q) * P(R)

= 12/17 * 3/8

= 9/34

6 0