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3 years ago

How to solve -2p^2=16p+24

1 answer:

8 0

Add 2p² to each side of the equation. Then you have

2p² + 16p + 24 = 0 .

Before you roll up your sleeves and start working on it, you can make it
even more convenient if you divide each side by 2 . Then you have:

p² + 8p + 12 = 0 .

Now you have a nice, comfortable, familiar-looking quadratic equation.
You can either factor the left side into (p + 6) (p + 2), or, if you can't find
the factors, you can apply the quadratic formula to it.

That's how to solve it, and find its two solutions.

You might be interested in

Which steps transform the graph of

vitfil [10]

Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of $y = x ^ 2$ into $y = -2(x - 2) ^ 2 + 2$ the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let $y = f (x-2)$ then $y =(x-2) ^ 2$ Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do $y = -f(x)$ Then $f (x) = -(x-2) ^ 2$

3) Stretch according to factor 2.

For this we do $y = 2f(x)$

Then we have $f(x) = -2 (x-2) ^ 2$

4) Move up the graph in two units:

We do $y = f(x) +2$

Then $y = -2(x-2) ^ 2 +2.$

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

4 0

3 years ago

I PROMISE BRAINLIST; 5-STARS; THANKS!! IT'S VERY SIMPLE; BELIEVE ME!!!!!

DochEvi [55]

Answer:

2. B

3. C

4. B

5. D

Step-by-step explanation:

2) The sequence is multiplying by -2 each time. This means that it is geometric.

The next two terms would be:

$32*-2=-64\\-64*-2=128\\128*-2=-256$

This means that the answer is B

3) The sequence is being multiplied by $\frac{1}{3}$ each time. This means that it is geometric.

The next 3 terms would be:

$3*\frac{1}{3} =1 \\\\1*\frac{1}{3} =\frac{1}{3} \\\\\frac{1}{3} *\frac{1}{3} =\frac{1}{9}$

I am assuming that the answer is C and that you were unable to type the fractions.

4) We know that the common difference is 1.5, so that is the coefficient of our variable and the starting value is 15. This means that we can write an equation as follows

$f(x)=1.5(x-1)+15$