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ehidna [41]
2 years ago
9

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 – 2x2 – 3x + 4?

Mathematics
1 answer:
maria [59]2 years ago
6 0

Answer:

  (a)  ±1/9, ±2/9, ±1/3, ±4/9, ±2/3, ±1, ±4/3, ±2, ±4

Step-by-step explanation:

The leading coefficient is 9; the constant is 4. The rational roots will be ...

  ±(divisor of 4)/(divisor of 9)

The divisors of 4 are 1, 2, 4. The divisors of 9 are 1, 3, 9. Then the rational roots can be any of ...

  ±1/9, ±2/9, ±1/3, ±4/9, ±2/3, ±1, ±4/3, ±2, ±4

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Answer:

Step-by-step explanation:

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3 years ago
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Zielflug [23.3K]

Answer:

option 4.

16 square units

Step-by-step explanation:

as we do not have the measures of the sides, but if the points of the vertices with Pythagoras we can calculate the sides.

P = (2 , 4)

S = (4 , 2)

we have to subtract the values ​​of p from s

PS = (4 - 2  , 2 - 4)

PS = (2 , -2)

by pitagoras h ^ 2 = c1 ^ 2 + c2 ^ 2

h: hypotenuse

c1: leg 1

c2: leg 2

PS^2 = 2^2 + -2^2

PS = √ 4 + 4

PS = √8

PS = 2√2

S = (4 , 2)

R = (8 , 6)

SR = (8-4  ,  6-2)

SR = (4 , 4)

by pitagoras h ^ 2 = c1 ^ 2 + c2 ^ 2

h: hypotenuse

c1: leg 1

c2: leg 2

SR^2 = 4^2 + 4^2

SR = √ (16 + 16)

SR = √32

SR = 4√2

having the values ​​of 2 of its sides we multiply them and obtain their area

PS * RS = Area

2√2 * 4√2 =

16

3 0
4 years ago
13x12=[3x______]+[3x_____]+[10 x______]+[10x____]
Ray Of Light [21]

Answer:it's on the explanation

Step-by-step explanation:

3 x 1

3 x 1

10 x 5

10 x 9

6 0
3 years ago
Which one of the following formulas defines the area, A A , of a square in terms of its perimeter, p ?
pav-90 [236]
A square has 4 sides of equa length

the perimiter is 4 times the side, or P=4s where s=length of 1 side

the area is length times witdth, but since the length=width, area=s² where s is the length of one side

so express A=s² in terms of P when P=4s

solve for s first in P=4s
P=4s
divide both sides by 4
\frac{P}{4}=s

subsitute \frac{P}{4} for s in the other eqaution
A=s^2
A=(\frac{P}{4})^2
A=\frac{P^2}{16}



in terms of the perimiter, the area is A=\frac{P^2}{16}
6 0
3 years ago
What is the length of a car if the length on the scale model car is 17 cm and the scale is 2 cm : 50 cm?
LenaWriter [7]
The length of the car is equal to 425cm! You can convert the scale to 1 cm : 25cm. Multiply 25 by 17 (the scale model car length) to get 425 cm
5 0
3 years ago
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