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3 years ago

Which of the following is a polynomial function in standard form with zeros at 0, 2, and 4?

Mathematics

2 answers:

AfilCa [17]3 years ago

6 0

Answer:

polynomial x³ -6x² +8x .

Step-by-step explanation:

Given : polynomial function in standard form with zeros at 0, 2, and 4.

To find : Which of the following is a polynomial function.

Solution : we have given that

zeros at 0, 2, and 4.

x = 0 .

x = 2

x = 4

(x -0)(x -2) (x -4).

x (x-2)(x-4).

x( x² -4x -2x +8).

x (x² -6x +8).

x³ -6x² +8x .

Therefore, polynomial x³ -6x² +8x .

notka56 [123]3 years ago

5 0

X(x - 2)(x - 4)
x(x² - 6x + 8)
x³ - 6x² + 8x

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Select the correct answer.

dimulka [17.4K]

Answer:

A, y=-6

Step-by-step explanation

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3 years ago

Jaedon bought 3 toy cars for $11.70. How much would 10 cars cost?

Ivan

Answer:

Step-by-step explanation:

11.70 divided by 3 is 3.9, and the unit rate. Multiply by 10 for the answer.

8 0

2 years ago

Graph the line for y+1=−3/5(x−4) on the coordinate plane. Move Line Undo Redo Reset

dsp73

Answer:

The equation of line is shown below.

Step-by-step explanation:

The equation of line is

$y+1=\frac{-3}{5}(x-4)$

It is the point slope form of a line, therefore the slope of the line is $\frac{-3}{5}$ and the line passing through (4,-1).

Rewrite the above equation in slope intercept form.

$y=\frac{-3}{5}x+\frac{12}{5}-1$

$y=\frac{-3}{5}x+\frac{12-5}{5}$

$y=\frac{-3}{5}x+\frac{7}{5}$

The point slope form of a line is

$y=mx+b$

Where m is the slope and b is y-intercept.

Therefore the slope of the line is $\frac{-3}{5}$ and the y-intercept of the line is $\frac{7}{5}$ .

Slope is defined as

$m=\frac{Rise}{Run}$

Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.

The y-intercept is $(0,\frac{7}{5})$ .

$(0-5,\frac{7}{5}+3)=(-5,\frac{22}{5})=(-5,4.4)$

Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.

7 0

2 years ago

If a18-a12=24.Find d.<br>with steps.....

kolbaska11 [484]

Answer:

let common difference be d.

a 18=a+17 d

a 14=a+13 d

a+17d - (a+13d) =32

a+17d - a - 13d =32

17d - 13d = 32

4d = 32

d=32/4

d=8

common difference=8

Step-by-step explanation:

(Brainliest if im correct?)

5 0

2 years ago

9 friends are lining up. Joe, Susan, John, and Meredith must be beside each other. How many ways can they line up?

ZanzabumX [31]

<h3>Answer: 17,280</h3>

This is one single number slightly over 17 thousand.

You may need to erase the comma when typing the answer in.

=========================================================

Explanation:

Let's say that another person steps in for Joe, Susan, John, and Meredith. I'll refer to this person as the teacher (perhaps these 9 friends are students on a field trip).

The 9 friends drops to 9-4 = 5 people when those four named people leave the group temporarily. Then it bumps up to 5+1 = 6 people when the teacher steps in. Wherever the teacher is located, the four friends that left will replace the teacher. This guarantees that those four friends stick together.

There are 6! = 6*5*4*3*2*1 = 720 ways to arrange those 6 people. The exclamation mark is a factorial symbol.

Within any of those 720 permutations, we have 4! = 4*3*2*1 = 24 ways to arrange those group of named people when they come back to replace the teacher.

So overall the answer is 4!*6! = 24*720 = 17,280

You may need to erase the comma when typing the answer in.

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Side note: There are 9! = 362,880 ways to arrange all nine friends regardless if those four mentioned people stick together or not. We see that they stick together roughly (17,280)/(362,880) = 0.0476 = 4.76% of the time.

6 0

3 years ago