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3 years ago

Show that (x+1) is a factor of f(x)=19x^42+18x-1

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

If (x + 1) is a factor then f(- 1) = 0

f(- 1) = 19 $(-1)^{42}$ + 18(- 1) - 1 = 19 - 18 - 1 = 0

Thus (x + 1) is a factor of f(x)

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Find the slope of the line(s) passing through the given points. Then tell whether the line(s) rises, falls, is horizontal, or is

bonufazy [111]

Answer:

21) falls

22) vertical

23) rises

24) rises

25) falls

26) horizontal

27) rises

28) horizontal

29) falls

Step-by-step explanation:

We shall use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ to calculate the slopes of the line passing through each pair of point.

21: (3,1), (2,6)

The slope is $m=\frac{6-1}{2-3}$

$\implies m=\frac{5}{-1}=-5$ .

A negative slope means this line falls

22) (-2,5), (-2,4)

The slope is $m=\frac{4-5}{-2- -2}=\frac{-1}{0}$ = undefined

An undefined slope means this line is vertical

23) The given point is (0,8) (2,10)

The slope is $m=\frac{10-8}{2-0}=\frac{2}{2}=+1$

A positive slope means this line rises

24) The points are (-3,-3), (3,1)

The slope is $m=\frac{1--3}{3--3}=\frac{4}{6}=+\frac{2}{3}$

A positive slope means this line rises

25) The points are: (5,0) (6,-2)

Slope: $m=\frac{-2-0}{6-5}=\frac{-2}{1}=-2$

A negative slope means this line falls

26) The points are (-2,-8) , (5,-8).

Slope: $m=\frac{-8--8}{5--2}=\frac{0}{7}=0$

A zero slope means this line is horizontal

27) The points are: (-1,2) , (5,3)

Slope: $m=\frac{3-2}{5--1}=+\frac{1}{6}$

A positive slope means this line rises

28) The points are: $(\frac{1}{2},4)$ , (-1,4)

Slope: $m=\frac{4-4}{-1-\frac{1}{2}}=\frac{0}{\frac{1}{2}}=0$

A zero slope means the line is horizontal

29) The points are: $(4,\frac{1}{2}), (5,\frac{1}{4})$

Slope: $m=\frac{\frac{1}{4}-\frac{1}{2}}{5-4}=-\frac{1}{4}$

A negative slope means this line falls.

6 0

3 years ago

How to estimate 26.2 and 18.5

atroni [7]

Average or round?
average: 22.35
rounded: 26 and 19
Hope this is what you wanted!

8 0

3 years ago

Write an equation in point-slope form for m=2;(5,6)

yanalaym [24]

Answer:

y-6 = 2 (x-5)

Step-by-step explanation:

point slope form

y-y1 = m(x-x1)

y-6 = 2 (x-5)

6 0

3 years ago

3/4 + 3/4 = 3/11 + 6/11= 3/10 +

valentina_108 [34]

+ what??????????????

3 0

3 years ago

A shoemaker makes 15,200$ and 912$ in commission (included in 15,200). What is the percent he made in commission to he whole amo

kodGreya [7K]

The total amount of money he only made is calculated by the formula:

amount made = 15,200 – 912

amount made = 14,288

Therefore the percentage commission was:

% commission = 912 / 14,288 * 100%

<span>% commission = 6.38 %</span>

6 0

3 years ago