All categories

4 years ago

If (x + 2) is a factor of x3 – 19x – p, find the value of p. Help please

Mathematics

1 answer:

Sergio039 [100]4 years ago

3 0

If $x-a$ is a factor of a polynomial $P(x)$ then, $a$ is its root.

So $-2$ is a root of $x^3-19x-p$

$(-2)^3-19\cdot(-2)-p=0\\-8+38-p=0\\p=30$

You might be interested in

A coach needs both small and large cones to set up an obstacle course. The coach knows that there are fewer than 30 cones in the

Pepsi [2]

Since they are FEWER than 30 total cones, the sum of x small cones and y large one must be LESS THAN 30: x+y <30
He needs AT LEAST a dozen (12), so that means that 12 will work or more than 12:
$y \geqslant 12$

5 0

3 years ago

Read 2 more answers

Someone help me with this question

zalisa [80]

Answer:

Step-by-step explanation:

a) Complete the table

Monday Tuesday Wednesday Total

Female 21-14=7 38-13-7= 18 13 38

Male 14 33-18= 15 26-13 =13 80-38=42

Total 80-33-26= 21 33 26 80

b) P(the student is a female) = 38/80= 0.475

c) P(the student visited the library on Tuesday) = 33/80= 0.4125

7 0

4 years ago

Read 2 more answers

A number added by 7 is the same as that

boyakko [2]

Answer:

$x+7=4x-11$

Step-by-step explanation:

Hi there!

Let $x$ represent "the number".

A number added by 7 is the same as that number times four minus eleven.

A number added by 7 ⇒ $x+7$

Is the same as ⇒ $x+7=$

The number times four ⇒ $x+7=4x$

Minus eleven ⇒ $x+7=4x-11$

I hope this helps!

4 0

3 years ago

A triangle has one angle that measures 56∘ and one angle that measures 63∘. The measure of the triangle's third angle is _____ d

ElenaW [278]

Answer:

61 degrees

Step-by-step explanation:

Let's do this

So we know all the angles measure in a triangle will be 180 degrees

We have 56 and 63

To find the third, let's add and subtract

56+63=119

Now let's subtract from 180

So 180-119=61

The third angle measures 61 degrees

Now let's add them up and see if they total 180 degrees

So 56+63+61=180

Yay, we found the answer!

The answer is 61 degrees.

6 0

3 years ago

2 tons for $840. Find the price per pound.

Butoxors [25]

Answer:

$0.21/lb

Step-by-step explanation:

We are to find the price per pound:

Number of tons given = 2 tons;

1US ton contains 2000lb

2 tons will have mass of 2 x 2000 = 4000lb

price = $840

So';

Price per pound = $\frac{840}{4000}$ = $0.21/lb

4 0

3 years ago

If (x + 2) is a factor of x3 – 19x – p, find the value of p. Help please​

If (x + 2) is a factor of x3 – 19x – p, find the value of p. Help please