5+5=10+10=20-10=10-5=5

1. Consider the function f(x) = 5x^3 - 31x^2 - 129x + 27

NeX [460]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

1.- f(x) = 5x³ - 31x² - 129x + 27

a) f(9) = 5(9)³ - 31(9)² - 129(9) + 27

f(9) = 5(729) - 31(81) - 1161 + 27

f(9) = 3645 - 2511 - 1161 + 27

f(9) = 0

b.- I will use synthetic division

5 - 31 -129 + 27 9

45 126 -27

5 14 -3 0

Trinomial = 5x² + 14x - 3

Factor 5x² + 15x - 1x - 3

5x(x + 3) - 1(x + 3)

b) (x + 3)(5x - 1)

x₂ + 3 = 0 5x₃ - 1 = 0

x₂ = -3 x₃ = 1/5

c) The roots are x₁ = 9, x₂ = -3 and x₃ = 1/5

2.- f(x) = 3x² + 2x - 8 factor = 3x - 4

x + 2

3x - 4 3x² + 2x - 8

-3x² + 4x

0 +6x - 8

-6x + 8

0 Remainder

As the remainder was "0", 3x - 4 is a factor of 3x² + 2x - 8

3 0

3 years ago

12. The point P lies on a line through the midpoint of AB and perpendicular to AB. If AP=15 in., what is the length PB? How do y

Mekhanik [1.2K]

Answer:

PB = 15

Step-by-step explanation:

A midpoint is a point in the center of a line. Since P is the midpoint of AB, the length of AP = PB. Therefore, if AP = 15, PB = 15.

8 0

2 years ago

A cash register contains only five dollar and ten dollar bills. It contains twice as many five's as ten's and the total amount o

Effectus [21]

Answer:

31

Step-by-step explanation:

Let number of ten dollar bills be x .

So, number of five dollar bills = 2 x

Total amount of money in the cash register = 620 dollars

Amount of money in total cash as a result of five dollar bills = 2 x × 5 = 10 x dollars

Amount of money in total cash as a result of ten dollar bills = x × 10 = 10 x dollars

According to question ,

Total amount of money in the cash register = Amount of money in total cash as a result of five dollar bills + Amount of money in total cash as a result of ten dollar bills

⇒ 620 = 10 x + 10 x

⇒ 620 = 20 x

⇒ x = $\frac{620}{20}$ = 31

So, number of ten dollar bills = 31

3 0

2 years ago

Which equation represents the function graphed on the coordinate plane?????

Y_Kistochka [10]

Since you haven't provided the graph, I'll explain each one and you choose the one suiting your given.

The parent modulus function is:

g(x) = |x|

It is centered at the origin and opens upwards.

A coefficient inside the modulus |x+k| means that the function is shifted along the x-axis

If "k" is positive, the shift will be to the left. If "k" is negative, the shift will be to the right.

A coefficient outside the modulus |x| + h means that the function is shifted along the y-axis

If "h" is positive, the shift will be upwards. If "h" is negative, the shift will be downwards.

Now, let's check each of the options:

g(x) = |x+4| - 2 :

This function is shifted 4 units to the left and 2 units down. It will be centered at (-4,-2). Check the blue graph in the attachment.

g(x) = |x-4| - 2 :

This function is shifted 4 units to the right and 2 units down. It will be centered at (4,-2). Check the black graph in the attachment.

g(x) = |x-2| - 4 :

This function is shifted 2 units to the right and 4 units down. It will be centered at (2,-4). Check the red graph in the attachment.

g(x) = |x-2| + 4 :

This function is shifted 2 units to the right and 4 units up. It will be centered at (2,4). Check the green graph in the attachment.

All 4 graphs are shown in the attached picture.

Hope this helps :)

3 0

2 years ago

Read 2 more answers

What is 40.15 divided by 7.3, written as a decimal?

Cloud [144]

The answer is 5.5.
hope this helps!!

5 0

2 years ago