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Nikolay [14]
3 years ago
7

Factor completely. 2x^4 + 4x^3 - 30x^2 =

Mathematics
2 answers:
Aleksandr [31]3 years ago
8 0

Answer:

2x^2(x + 5)(x - 3).

Step-by-step explanation:

The Greatest Common Factor is 2x^2, so:

2x^4 + 4x^3 - 30x^2

= 2x^2(x^2 + 2x - 15)    Now we factor the quadratic in the parentheses:

= 2x^2(x + 5)(x - 3).

den301095 [7]3 years ago
6 0

Answer:

2x^2(x-3)(x+5)

Step-by-step explanation:

The first thing that you can do is to factor out an x^2 from the expression.

x^2(2x^2+4x-30)

The next step is to factor out a 2.

2x^2(x^2+2x-15)

Finally, you can factor the quadratic inside.

2x^2(x-3)(x+5)

And now you're finished! Hope this helps!

You might be interested in
2x+2(1960/x)=200 please help for math hw
sp2606 [1]

Two solutions:

1. x =(100-√2160)/2=50-6√ 15 = 26.762

2. x =(100+√2160)/2=50+6√ 15 = 73.238

3 0
3 years ago
Help!<br> Which answer is correct?
Luda [366]

Well, since the graph starts at (0,50), making our y-intercept 50, we can knock off D as an option.

The next step is to find the slope. To do this, find two points and subtract the y values over the x values. (Just make sure that whichever y value you start with - start with the same x value).

So we have >>> (50, 200) and (0,50) from earlier.

200 - 50 / 50 - 0 = 150/50 or 3/1, or 3.

This makes the correct answer A since the equation is represented as y = mx + b, where m is the slope and m has a value of 3.

7 0
3 years ago
1) f(x) = 2x + 4, g(x) = 4x2 + 1; Find (g ∘ f)(0).
Sholpan [36]

Answer:

<h2>(g \: \circ \: f)(0) = 17</h2>

Step-by-step explanation:

f(x) = 2x + 4

g(x) = 4x² + 1

In order to find (g ∘ f)(0) we must first find

(g ° f )(x)

To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)

That's

<h3>(g \: \circ \: f)(x) = 4( ({2x + 4})^{2} ) + 1 \\  = 4(4 {x}^{2}  + 16x + 16) + 1 \\  =  {16x}^{2}  + 64x + 16 + 1</h3>

We have

<h3>(g \: \circ \: f)(x) =  {16x}^{2}  + 64x + 17 \\</h3>

Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)

We have

<h3>(g \: \circ \: f)(0) = 16( {0})^{2}  + 64(0) + 17 \\</h3>

We have the final answer as

<h3>(g \: \circ \: f)(0) = 17</h3>

Hope this helps you

8 0
4 years ago
Please try and solve it
astraxan [27]
This answer would be y=5
7 0
3 years ago
HELP!!!!!!!!!! AP CALCULUS AB
raketka [301]

Answer:

\lim_{x \to 5^{-}} f(x)= 54

\lim_{x \to 5^{+}} f(x) = -17

Step-by-step explanation:

+ means we are approaching from the right

- means we are approaching from the left

We are given that if x < 5, it is x² + 5x + 4

So to find \lim_{x \to 5^{-}} f(x) we would plug in 5 into that piecewise function part:

5² + 5(5) + 4 = 54

We would be approaching y = 54 if we approach from the left.

We are given that x > 5, it is -4x + 3

So to find \lim_{x \to 5^{+}} f(x) we would plug in 5 into that piecewise function part:

-4(5) + 3 = -17

We would approach y = -17 if we approached from the right.

8 0
3 years ago
Read 2 more answers
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