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anygoal [31]
3 years ago
15

Form a third degree polynomial function with real coefficients such that 8+i and 7 are zeros.

Mathematics
1 answer:
Lyrx [107]3 years ago
3 0
The zeros of the equation are <span>8+i and 7. however since this is a third degree polynomial, the other root missing is the conjugate of the imaginary term 8-i, which is 8 +i. We multiply then ( x- 8 - i) *( x- 7)* (x - 8 + i).The expansion is  (x2 - 16x + 1 --1 ) *(x-7) = </span><span>(x2 - 16x + 2 )(x-7) = x3 -7 x2 -16x2 +112 x +2x -14 = x3 -23 x2 + 114 x -14</span>
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A group of 3 friends shared 7 bars of clay equally. How much clay did each student get?
Mazyrski [523]

Answer: 2 1/3

Step-by-step explanation:

Hi, I got my answer by making 3 groups and splitting 7 into them. When you get 1 left over, you separate it into 3, so everyone gets 1/3 of a piece. Therefore the answer is 2 1/3. :)

5 0
3 years ago
What are the two point plz help me
evablogger [386]

Your first point should always be shown in the y-intercept following the standard form for slope-intercept form

Y = mx + b

b = y - intercept

In this case your first point would be (0,1)

You next point would be following the slope which is -2x. When you graph a equation always know that it is rise over run. For this line, it would be going from left to right since it is a negative line.

Your second point would go down 2 points from your starting point (0,1) and run 1 to the right in the x-axis, which is also called, (1,-3)

5 0
3 years ago
The first day of Sam's vacation was a Monday. What day of the week was the Day 36 of Sam's vacation?
makvit [3.9K]

Answer:

A. Monday

Step-by-step explanation:

The solution to this problem can be found by creating a table

If Day 1 was Monday, then

Mon    Tues      Wed      Thur    Fri      Sat      Sun

1              2           3             4        5        6          7

8             9           10           11        12       13        14

...............

We can see that the multiples of 7 are falling on Sundays so we will divide 36 by 7 to get the closest multiple of 7 to 36.

The closest multiple of 7 near 36 is 35 so Day 35th will fall on Sunday and Day 36 will be on Monday

Hence, Option A is the correct answer..

3 0
3 years ago
Father's age is 3 times the sum of ages of his two children. After 5 years his age will be twice the sum of ages of two children
ra1l [238]

Answer:

45 is the father's age

Step-by-step explanation:

7 0
3 years ago
Justify each step in solving the equation 5(y+3)-11=-y-6 by writing a reason for each statement.
liubo4ka [24]

Explanation:

5(y+3)-11=-y-6 Given

5(y+3)=-y+5 . . . . addition property of equality (11 is added)

5y+15=y+5 . . . . . distributive property (5 is distributed)

5y=-y-10 . . . . . . . addition property of equality (-15 is added)

6y=-10 . . . . . . . . . addition property of equality (y is added)

y=-5/3 Division Property of Equality/Reduce

6 0
3 years ago
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