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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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Complete the table for the given rule.<br><br><br>rule: y=x-4<br><br><br>x:? y:6 0 4

Triss [41]

Answer:

10, 4, 8

Step-by-step explanation:

10 - 4 = 6

4 - 4 = 0

8 - 4 = 4

3 0

3 years ago

A tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24. The players were still hungry so the coa

g100num [7]

The cost of 1 hamburger is $ 2.5 and cost of 1 fries is $ 0.8

<h3><u>Solution:</u></h3>

Let "f" be the cost of 1 fries

Let "h" be the cost of 1 hamburger

<em><u>Given that, tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24</u></em>

8 x cost of 1 hamburger + 5 x cost of 1 fries = 24

$8 \times h + 5 \times f = 24$

8h + 5f = 24 -------- eqn 1

<em><u>The players were still hungry so the coach bought six more hamburgers and two more fries for $16.60</u></em>

6 x cost of 1 hamburger + 2 x cost of 1 fries = 16.60

$6 \times h + 2 \times f = 16.60$

6h + 2f = 16.60 ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

16h + 10f = 48 ------ eqn 3

Multiply eqn 2 by 5

30h + 10f = 83 -------- eqn 4

<em><u>Subtract eqn 3 from eqn 4</u></em>

30h + 10f = 83

16h + 10f = 48

( - ) ----------------------

14h = 35

Substitute h = 2.5 in eqn 1

8(2.5) + 5f = 24

20 + 5f = 24

5f = 4

Thus cost of 1 hamburger is $ 2.5 and cost of 1 fries is $ 0.8

5 0

4 years ago

Classify ( 3 − 1 3 ) as rational or irrational, and explain your reasoning.

Jet001 [13]

Answer:

rational

Step-by-step explanation:

the equation above would be -10 making it an integer

integers are rational

4 0

4 years ago

Caroline is going to the state fair with a group of friends. It costs her $12 for admission, and once she is inside the fair she

ioda

Answer:

a) y=0.75x+12 (y=ax+b)

b)a=0.75

c)b=12 (b=y-intercept, the place where the graph hits the Y axis). It's the starting cost, the cost that will be paid only one time

d) starts at (0,12) and goes up +0.75 each time

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3 years ago

Read 2 more answers

Help! giving 13 points!

Shtirlitz [24]

To determine the perimeter of the triangle given the vertices, calculate the distances between pair of points. For the first pair (-5,1) and (1,1), the distance is 6. For the next pair, (1,1) and (1, -7), the distance is 8. Lastly, for the pair of points (-5,1) and (1, -7), the distance is 10. Adding all the distance will give the perimeter of the triangle. Thus, the perimeter is 24.

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4 years ago