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kirill [66]
2 years ago
6

According to the Rational Root Theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?

Mathematics
2 answers:
Harlamova29_29 [7]2 years ago
8 0

3x^3 – 5x^2 – 12x + 20

= (3x^3 – 5x^2) – (12x - 20)

= x^2(3x - 5) - 4(3x - 5)

= (3x - 5)(x^2 - 4)

= (3x - 5)(x + 2)(x - 2)


Factors: (3x - 5), (x + 2), and (x - 2)


Answer:

D.) 3x – 5

prisoha [69]2 years ago
6 0

Answer:

D.) 3x – 5

Step-by-step explanation:

I got 100% on the test

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El perímetro de un rectángulo es 28cm, uno de los lados es 6cm más que el otro lado. Hallar el mayor lado del rectángulo.
son4ous [18]

Answer: El mayor lado del rectangulo tiene 10cm

Step-by-step explanation:

El perímetro de un rectángulo puede escribirse como:

P = 2*L + 2*A

Donde L es el largo y A es el ancho.

Sabemos que uno de los lados es 6cm mas largo que el otro, entonces podemos escribir:

L = A + 6cm.

P = 28cm = 2*L + 2*A

podemos reemplazar la primera ecuación en la segunda:

28cm = 2*(A + 6cm) + 2*A

28cm =  12cm + 4*A

28cm - 12cm = 4*A

16cm/4 = A

4cm = A.

Entonces el ancho es 4 cm, y el largo es L = 4cm + 6cm = 10cm

4 0
2 years ago
Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si
dolphi86 [110]

In geometry, it is always advantageous to draw a diagram from the given information in order to visualize the problem in the context of the given.

A figure has been drawn to define the vertices and intersections.

The given lengths are also noted.


From the properties of a kite, the diagonals intersect at right angles, resulting in four right triangles.


Since we know two of the sides of each of the right triangles, we can calculate their heights which in turn are the segments which make up the other diagonal.


From triangle A F G, we use Pythagoras theorem to find

h1=A F=sqrt(20*20-12*12)=sqrt(256)=16


From triangle DFG, we use Pythagoras theorem to find

h2=DF=sqrt(13*13-12*12)=sqrt(25) = 5


So the length of the other diagonal equals 16+5=21 cm


5 0
2 years ago
kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of
Phantasy [73]

Answer:

Kadeem will take 0.166 h more to complete the course.

Step-by-step explanation:

The speed is the rate at which the distance changes, when the speed goes up the distance changes more quickly, therefore if the distance is the same and the speed is higher the one who will take longer is the one that has less speed. In this case the one who will take longer to drive the 25 miles is Kadeem, since he's driving at 50 mph. In order to calculate how much longer we need to calculate the time at which each of them complete the course, this is shown below:

time = distance/speed

For Kadeem:

time = 25/50 = 0.5 h

For Quinn:

time = 25/75 = 0.334 h

The difference between the is 0.5 - 0.334 = 0.166 h.

8 0
2 years ago
one slice of cheese pizza contains 260 calories. a medium-size orange has one-fifth that number of calories. how many calories a
Flura [38]
1/5 •260=52 calories
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laiz [17]

Answer:

its choice b

Step-by-step explanation:

because it is

8 0
2 years ago
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