All categories

3 years ago

Use an appropriate procedure to show that x-4 is a factor of the function f(x)=2x^3-5x^2-11x-4. Show work pleassseeee

Mathematics

1 answer:

mamaluj [8]3 years ago

6 0

F(4)=2(4)^3-5(4)^2-11(4)-4=128-80-44-4=0
Solution is 4

You might be interested in

A translation moves P(0,5) to P'(3,1). What are the coordinates of the image

aniked [119]

Answer:

xxxxxxzzzjjznzjsbsbsbshj

Step-by-step explanation:

sekjxhxjdjdknxxbbxjdkekmdkdkddo

3 0

2 years ago

On a coordinate plane, a line is drawn from point A to point B. Point A is at (2, negative 3) and point B is at (negative 4, 9).

zimovet [89]

Answer: (0,1)

Step-by-step explanation:

If $(x_1, y_1)$ and $(x_2, y_2)$ are two point son a coordinate plane and (x,y) dividing it in a ratio of m: n.

Then , the coordinates of (x,y) is given by :-

$x=\dfrac{nx_1+mx_2}{m+n}$

$y=\dfrac{ny_1+my_2}{m+n}$

Given : On a coordinate plane, a line is drawn from point A to point B. Point A is at (2, - 3) and point B is at (- 4, 9).

Then , the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2 :

$x=\dfrac{2(2)+1(-4)}{1+2}=0$

$y=\dfrac{2(-3)+1(9)}{1+2=1}$

Hence, the x- and y- coordinates of point E = (0,1)

3 0

3 years ago

Read 2 more answers

How would I start to solve number 15? Would I use distributive property?

natita [175]

$-5-x=2x-(4x+6)$

Using the distributive property is the correct first step. $(4x+6)$ is being multiplied by -1, so distributing gives

$-5-x=2x+(-4x-6)$
$-5-x=2x+((-4x)+(-6))$

Now, using the associative property of addition, you get

$-5-x=(2x+(-4x))+(-6)$
$-5-x=(2x-4x)-6$

Simplify the right hand side:

$-5-x=-2x-6$

Add 5 and $2x$ to both sides.

$(2x+5)-5-x=(2x+5)-2x-6$

On the left side, use the associative property. On the right, commutativity and associativity:

$2x+(5-5)-x=5+(2x-2x)-6$

Simplify.

$2x-x=-1$
$x=-1$

8 0

2 years ago

angie needs to buy 156 candlesbfor a party. each package has 8 candles. how many packages should Angie buy?

andre [41]

20 packages

Step-by-step explanation:

Divide 156 by 8 and you get 19.5. Angie needs 156 candles, so you round 19.5 to 20.

6 0

2 years ago

According to the empirical (69-95-99.7) rule, if a random variable z has a standard normal distribution, then approximately 95%

Dmitry_Shevchenko [17]

Using z-scores, it is found that the value of z is z = 1.96.

-----------------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean $\mu$ and standard deviation $\sigma$ , is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.
Each z-score has an associated p-value, which is the percentile.

The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
Thus, the value of Z is 1.96.

A similar problem is given at brainly.com/question/16965597

7 0

2 years ago