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2 years ago

Divide using synthetic division. ( x^4-12x^2-9)/(x+3)

Mathematics

1 answer:

Firdavs [7]2 years ago

6 0

Answer:

x^3 - 3x^2 - 3x + 9 + (-36/(x+3))

x^3 - 3x^2 - 3x + 9 - (36/(x+3))

Step-by-step explanation:

First set the divisor equal to 0:

x + 3 = 0

Subtract 3 from both sides

x = -3

This is what you'll divide the dividend by in synthetic division.

Take the coefficents of each term in the dividend. Do not forget the 0 placeholders:

x^4 + 0x^3 - 12x^2 + 0x -9

Coefficents: 1. 0. -12. 0 -9.

Please see the image for the next steps.

The remainder is -36. Put the remainder over the divisor and add it to the polynomial (shown in image)

-36/(x+3)

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Here are the heights in inches of 10 professional basketball players: 66, 74, 76, 77, 78, 79, 80, 80, 82, 84. The mean of these

Dvinal [7]

Answer:

Question 4: The set has 66 as an outlier and removing it increases the mean by about 1.3 inches.

Question 5: The set has 50 as an outlier and removing it increases the mean by about 3.

Step-by-step explanation:

Question 4:

Given heights are:

66, 74, 76, 77, 78, 79, 80, 80, 82, 84

The mean is: 77.6 inches

Removing 66 will make the mean increase to 78.9

So,

The set has 66 as an outlier and removing it increases the mean by about 1.3 inches.

Question 5:

50, 74, 76, 77, 78, 79, 80, 80, 82, 84

The mean is 76.

We can clearly see that 50 is an outlier as it is quite less than the given data.

Calculating mean after removing 50 will give us mean equal to 78.9

So the correct answer is:

The set has 50 as an outlier and removing it increases the mean by about 3.

5 0

2 years ago

Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.

mars1129 [50]

Answer:

Option E - None of these answers is reasonable.

Step-by-step explanation:

To find : Convert 17.42 m to customary units ?

Solution :

The customary units is defined as the measure length and distances in the customary system are inches, feet, yards, and miles.

The options belong to feet and inches.

We have to convert meter into inches, feet.

Meter into feet,

$1 \text{ feet} = 0.3048 \text{ meter}$

$1 \text{ meter} = \frac{1}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{17.42}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{174200}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{464}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{58}{381}\text{ feet}$

Now, Feet into inches

$1 \text{ feet} = 12\text{ inches}$

$\frac{58}{381} \text{ feet} = 12\times \frac{58}{381}\text{ inches}$

$\frac{58}{381} \text{ feet} =\frac{232}{381}\text{ inches}$

i.e. $17.42 \text{ meter} =57\text{ feet }\frac{232}{381}\text{ inches}$

or $17.42 \text{ meter} =57'\frac{232}{381}''$

None of these answers is reasonable.

Therefore, Option E is correct.

5 0

2 years ago

Adam uses coconut milk for the dessert.

dmitriy555 [2]

V=(π)(r^2)(h)

π=3
r=half of the diameter=4
h=12

V=(3)(4^2)(12)
= (3)(16)(12)
= 576 cm cubed

4 0

3 years ago

2+2x=45 Solve for x 10 pts

Volgvan

2+2x=45

-2

0+2x = 43

2x = 43

-2

0+x=41

X=41

3 0

3 years ago

Read 2 more answers

Find the inverse of f(x)=−3/2x+7/2.

timama [110]

Answer: $f^{-1}(x)=-\frac{2}{3}x+\frac{7}{3}$

Step-by-step explanation:

To find the inverse of a function, you want to replace x with y and y with x. Then, you solve for y.

$y=-\frac{3}{2}x+\frac{7}{2}$ [replace y with x and x with y]

$x=-\frac{3}{2}y+\frac{7}{2}$ [subtract both sides by 7/2]

$x-\frac{7}{2} =-\frac{3}{2}y$ [multiply both sides by -2/3]

$-\frac{2}{3} (x-\frac{7}{2} )=y$ [distribute]

$y=-\frac{2}{3}x+\frac{7}{3}$

Now, we have our inverse function.

$f^-^1(x)=-\frac{2}{3}x+\frac{7}{3}$

7 0

3 years ago