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3 years ago

If f(x)=4x3+3x2−5x+20 and g(x)=9x3−4x2+10x−55, what is (g−f)(x)?

Mathematics

1 answer:

Montano1993 [528]3 years ago

3 0

Answer:

Step-by-step explanation:

(g-f)(x) = 9x³ - 4x² + 10x - 55 - [ 4x³ +3x² - 5x + 20]

To remove the parenthesis, take - inside, multiply f(x) by -1

= 9x³ - 4x² + 10x - 55 - 4x³ - 3x² + 5x - 20

Now, bring like terms together,

= 9x³ - 4x³ - 4x² - 3x² + 10x + 5x - 55 - 20

= 5x³ - 7x² + 15x - 75

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A small boat can travel at 28 per hour how many hours will it take to go across the bay that is 56 miles wide

dsp73

Answer:

2 hours

Remember that time = distance/rate

The distance you need to cover is 56 miles, while you go 28 miles per hour. Using these, we get this:

time=56/28

time=2

So it will take two hours to go across a 56 mile wide bay at 28 mph.

Step-by-step explanation:

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3 years ago

What does one equal 10+ b over 25 equal

max2010maxim [7]

Answer:

b is 15.

Step-by-step explanation:

Trust me on this, The answer could only be 15 when solving for b. Hopefully that helps.

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2 years ago

Read 2 more answers

I need help finding the y-intercept of these, I am no good with slope and tables. ;-;

zubka84 [21]

Answer:

1. -4

2. 6

3. -6

(i hope this is right •_•)

Step-by-step explanation:

First table

When the x coordinate is 0, that point is your y intercept. For the first one, your y intercept is -4.

Second table

For the second one, we need to do a bit of counting. We can see the x coordinates go before and after zero, but the table does not show us 0. So, we're going to have to calculate the slope. Bear with me here, I'm a little tired and this might be rambling ;-;

So, the formula for calculating slope is $\frac{y_{2} -y_{1}}{x_{2}-x_{1}}$ . I'm going to use those first two points to get my slope. We're going to say the first point is point 1 and the second point is point 2 (genius, i know lol). So, let's substitute in the x and y values.

$\frac{9-12}{-3-(-6)}$

And simplify...

$\frac{-3}{3}$

So, your slope is -1. We can use that. We just have to count down.

If the x is -2, the y is 8. If the x is -1, the y is 7. And if the x is 0....(drumroll please) the y is 6! So, your y intercept is 6.

Third table

Now, this table isn't very nice either and doesn't have an x as 0 for us. Hmpf. But we can still do what we did above. I'll just skip the explanation and you can observe my steps.

$\frac{-3-(-5)}{9-3}$