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natita [175]
2 years ago
7

Write a polynomial function with zeros -3,5,8​

Mathematics
1 answer:
klemol [59]2 years ago
3 0

Answer:

x^3-10x^2+x+120

Step-by-step explanation:

Assuming you mean roots -3, 5, 8

These happen when we have (x+3)(x-5)(x-8)=0

Expand this

(x^2-2x-15)(x-8)=0

=x^3-2x^2-15x-8x^2+16x+120

=x^3-10x^2+x+120

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Write the equation in slope intercept form. Then, match the equation with the correct graph.
Natasha_Volkova [10]

Answer:

Graph A:  y = (1/2)x - 2

Step-by-step explanation:

2x−4y=8 in slope-intercept form is -4y = -2x + 8, or y = 1/2x - 2

The slope of this line is 1/4 and the y-intercept is -2.  This is represented by Graph A.

5 0
2 years ago
The sum of 5 consecutive odd integers is 2,555. What is the sum of the first, third, and last integer?
Lilit [14]

Answer:

The sum of the first, third, and last integer is 1533.

Step-by-step explanation:

<u><em>Step 1: You need to create a equation first:</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

<u><em>How did I make the equation?</em></u>

If n is odd number, n + 2 must be the consecutive odd number

5 , 5 + 2 , 5 + 4 , 5 + 6 , 5 + 8

5, 7, 9, 11, 13  ALL CONSECUTIVE ODD NUMBERS

<u><em>Step 2: Simplifying the equation</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

5n + 20 = 2555

<u><em>Step 3: Solving the equation, with explanation</em></u>

5n + 20 = 2555       Subtract 20 on both sides

        5n = 2535        Isolate the variable by dividing 5 on both sides

          n = 507

<u><em></em></u>

<u><em>Step 4: Plug in the value</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8

507,  507 + 2 , 507 + 4 , 507 + 6 , 507 + 8

507, 509, 511, 513, 515

<u><em>Step 5:  Solve the sum of the first, third, and last integer</em></u>

507 + 511 + 515 = 1533

<u><em>Step 6: THE ANSWER</em></u>

1533

<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please mark this as brainliest!!! </em></u></h3><h3><u><em>Thank You!!! </em></u></h3><h3><u><em>:)</em></u></h3>
8 0
3 years ago
The average number of customers per day at a home improvement store is given in the following table. Let x represent the day whe
nika2105 [10]

Answer:

A. 33.690\sin (0.887x + 1.337) + 81.684.

Step-by-step explanation:

We are given that,

x = Number of days where 1 = Sun of 1st week and 7 = Sat of first week.

The corresponding table for the data is given by,

Days        Day Number               Number of Customers

Sun                    1                                     115

Mon                   2                                     77

Tue                    3                                     60

Wed                   4                                     51

Thur                   5                                     68

Fri                      6                                      86

Sat                     7                                      120

The general form of the regression model is a\sin (bx+c)+d.

Using the sinusoidal regression calculator, we get that,

a = 33.690

b = 0.887

c = 1.337

d = 81.684

That is, the sine regression model is 33.690\sin (0.887x + 1.337) + 81.684.

Thus, option A is the sine regression model for the given data.

6 0
3 years ago
Read 2 more answers
Help please!!!!!! and explanation if possible
loris [4]
The correct answer is 3



the triangle sides are equal. so :
4x - 1 = 2x + 5 \\ 4x - 2x = 1 + 5 \\ 2x = 6 \\ x =  \frac{6}{2}  = 3



good luck
6 0
3 years ago
A set of bivariate data was used to create a least-squares regression line. Which of the following is minimized by the line? The
Akimi4 [234]

Answer:

The sum of the squared residuals

Step-by-step explanation:

If you sum the residuals, you would get 0

if you sum of the absolute values of the residuals you wouldn't be doing "least-squares regression"

The influence of outliers D The slope is another metric that has nothing to do in creating the regression line

8 0
3 years ago
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