Ask question

Ask question

All categories

3 years ago

8

Which of the following is equal to

1 answer:

Tanzania [10]3 years ago

8 0

Answer: $2x^3-2x^2-13x+3$

======================================================

Work Shown:

I'm assuming you meant to say $(x - 3)(2x^2 + 4x - 1)$

Let $y = x-3$

So,

$(x - 3)(2x^2 + 4x - 1)\\\\y(2x^2 + 4x - 1)\\\\y2x^2 + y4x - y\\\\2x^2(y) + 4x(y) - (y)\\\\2x^2(x-3) + 4x(x-3) - (x-3)\\\\2x^3-6x^2 + 4x^2-12x - x+3\\\\2x^3-2x^2-13x+3\\\\$

The basic idea is to use the distribution rule (line 3 and line 6) and then combine like terms.

You might be interested in

4 there are only red sweets and yellow sweets in a bag.

Taya2010 [7]

Using the probability concept, it is found that since the number of red sweets would be a decimal number, the probability cannot be $\dfrac{7}{10}$

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

In this problem:

In total, there are 8 + n sweets in the bag.

Of those, n are red.

The probability of red is:

$p=\dfrac{n}{n+8}$

Supposing, we solve for n:

$\dfrac{n}{n+8} = \dfrac{7}{10}$

10n = 7n + 56

3n = 56

n = 56 / 3

n = 18.67

Since the number of red sweets would be a decimal number, the probability cannot be 7 / 10

To know more about probability follow

brainly.com/question/24756209

#SPJ1

4 0

2 years ago

Use function notation to write the equation of the line

blondinia [14]

$f(x)=mx+b\to y=mx+b$

We have two points:

$(-3,\ 0);\ (-4,\ 7)$

The point slope form of the line:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute

$m=\dfrac{7-0}{-4-(-3)}=\dfrac{7}{-1}=-7$

$y-0=-7(x-(-3))\\\\y=-7(x+3)\\\\y=-7x-21$

Answer:

$f(x)=-7x-21$

8 0

3 years ago

Find the measure of angle a

balu736 [363]

The answer is C. Thats the measure

5 0

4 years ago

Kevin and Randy Muise have a jar containing 70 coins, all of which are either quarters or nickels. The total value of the coins

Nikitich [7]

Answer:

50 nickels, 20 quarters.

Step-by-step explanation:

System of equations (q = # of quarters, n = # of nickels):

<em>q + n = 70, 0.25q + 0.05n = 7.50</em>

the first equation can be changed to q = 70 - n, so we are able to <em>substitute q with 70 - n</em>.

So, it will look like <em>0.25*70 - 0.25n + 0.05n = 7.50</em>. This can be simplified to <em>0.2n = 10</em>, which means that n = 50.

Knowing that we can solve <em>q + 50 = 70</em>, which means that q = 20.

6 0

3 years ago

What are two ways to find the slope of a line?

DedPeter [7]

Answer:

m = (y - y)/(x - x)

Rise/run

Step-by-step explanation:

4 0

3 years ago