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wolverine [178]
4 years ago
5

A polynomial function has roots –5 and 1. Which of the following could represent this function? f(x) = (x + 5)(x + 1) f(x) = (x

– 5)(x – 1) f(x) = (x – 5)(x + 1) f(x) = (x + 5)(x – 1)
Mathematics
2 answers:
jarptica [38.1K]4 years ago
6 0

Answer:

2nd part of the question:  The corresponding polynomial function is:

F(X)=X^2+4X-5


Step-by-step explanation:


Dimas [21]4 years ago
3 0

f(x) = (x + 5)(x - 1)

using the ' factor theorem '

given x = a is the root of a polynomial then (x - a ) is a factor

here roots are x = - 5 and x = 1 hence factors are (x + 5) and (x - 1)

the polynomial is the product of the factors

f(x) = (x + 5)(x - 1)


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Answer:

solve it like there's and equals sign

Step-by-step explanation:

2x-1=6

+1+1

<u>2x</u>=<u>7</u>

2 2

x=3.5

then put the greater than sign back

x>3.5

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Solve the system by elimination. − 2 x + 2 y + 3 z = 0 − 2 x − y + z = − 3 2 x + 3 y + 3 z = 5
taurus [48]

Answer:

x=1, y=1, z=0

Step-by-step explanation:

we have

-2x+2y+3z=0 ----> equation A

-2x-y+z=-3  -----> equation B

2x+3y+3z=5 ----> equation C  

adds equation A and equation C

-2x+2y+3z=0\\2x+3y+3z=5\\-------\\2y+3y+3z+3z=0+5

5y+6z=5 -----> equation D

adds equation B and equation C

-2x-y+z=-3\\2x+3y+3z=5\\--------\\-y+3y+z+3z=-3+5

2y+4z=2 -----> equation E

we have the system

5y+6z=5 -----> equation D

2y+4z=2 -----> equation E

Multiply equation E by -1.5 both sides

-1.5(2y+4z)=-1.5(2)

-3y-6z=-3 -----> equation F

adds equation D and equation F

5y+6z=5\\-3y-6z=-3\\---------\\5y-3y=5-3\\2y=2\\y=1

<em>Find the value of z</em>

substitute the value of y in equation E (or substitute in equation D)

2(1)+4z=2

2+4z=2

4z=0

z=0

<em>Find the value of x</em>

substitute the value of y and z in equation A (or equation B or C)

-2x+2(1)+3(0)=0

-2x+2=0

-2x=-2

x=1

therefore

The solution of the system of equations is

x=1, y=1, z=0

4 0
4 years ago
Rita has 3/4 gallon of lemonade. She pours 1/8 gallon of lemonade into each glass. How many glasses can she pour?
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Answer: 6 glasses.

Step-by-step explanation:

You have to multiply the denominator of 3/4 by two and the numerator by 2 to get 6/8. If you're pouring 1/8 into each glass, then you should be able to have 6.

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Which of these graphs represents the graph of line y = -x + 1?
jok3333 [9.3K]

Answer:

See attached picture.

Step-by-step explanation:

To graph the equation, use the slope intercept form of the line to identify the slope and y-intercept.

y = -x + 1                          y = mx+b

m=-1 and b=1

This means start at 1 on the y-axis and plot a point. From this point (0,1), move down 1 unit and to the right 1 unit. Plot this point (0,1). Connect the two points.

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