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Stolb23 [73]
3 years ago
10

Find a polynomial f(x) of degree 4 that has the following zeros. 7, −3, 0, −2

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

x^4 - 2x^3 - 29x^2 - 42x

Step-by-step explanation:

Equal all the zeros to x then move them over.

x=7,x=-3,x=0,x=-2

x-7,x+3,x+0,x+2

Then multiply each factor

(x-7)(x+3)(x)(x+2)

x^4 - 2x^3 - 29x^2 - 42x

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Consider the graph of the line y = x – 4 and the point (−4, 2).
Hitman42 [59]

Answer:

a. The slope  of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is  (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

The equation of the line in Slope-intercept form  is:

y=mx+b

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

a. For the line y = x - 4

You can identify that:

m=1

 By definition, two lines are parallel if they have the same slope. Then, the  slope of a line parallel to the given line is:

m=1

b. The equation of the line in Point-slope form is:

y -y_1 = m(x - x_1)

Where m is the slope and (x_1,y_1)  is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = (x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=1 :

y -2 = (1 +4)

y= 5+2

y= 7

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the  slope of a line perpendicular to the given line is:

m=-\frac{1}{1}\\\\m=-1

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = -1(x +4)

 y -2 = -(x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=3 :

y -2 = -(3 +4)

y= -7+2

y= -5

Then, you get the point (3,-5)

8 0
3 years ago
PLSSS HELP !!!!!!Jessica went to the store to buy a new video game the game cost 60 dollars it was on sale for 35 percent off sh
Ahat [919]

Answer:

$42.12

Step-by-step explanation:

35% off means she has to pay:

100 - 35 = 65% of the marked price.

65/100 × 60 = 39

Tax: 8%

8/100 × 39 = 3.12

To pay:

39 + 3.12 = 42.12

5 0
3 years ago
What did the term 4x have in common (have the same) with x,120x, -3x?
Lera25 [3.4K]

Answer:

They're all like terms (x)

7 0
3 years ago
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Need Help Please!!!!!!!
marshall27 [118]

ANSWER

$1,413.81

EXPLANATION

The compound interest formula is given by:

A=P(1+r\%)^t

Where P=900 is the balance in the account, t=10 is the number of years and r=0.0462 is the rate.

We substitute the values in to the formula to get:

A=900(1+4.62\%)^{10}

A=900(1.0462)^{10}

This simplifies to:

A=1413.81

Therefore $1413.81 will be in the account after 10 years.

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210+698-812+1453-1300
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Answer: 249

Step-by-step explanation: 210+698-812+1453-1300

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3 years ago
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