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jenyasd209 [6]
3 years ago
15

According to the Rational Root Theorem, which of the following values is a possible rational root of the polynomial p(x)=x2+3x+1

2?
A. 24
B. -1/2
C. -2
D. 1/6
E. 1/2
Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

C. -2

Step-by-step explanation:

Since the leading coefficient is 1 and rational roots are of the form ...

±(divisor of the constant)/(divisor of the leading coefficient)

all of the possible rational roots must be whole number diviors of 12. The only one on the list is -2.

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Work out and simplify where possible<br><br>7/15+2/15​
alisha [4.7K]

Answer:

3/5

Step-by-step explanation:

7/15 + 2/15 = 9/15

both 9 nad 15 are divisible by 3

9/15 = 3/5

6 0
3 years ago
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(a) Find an angle between 0 and 2π that is coterminal with −19π10.
Katarina [22]

Answer:

\dfrac{\pi}{10}.

Step-by-step explanation:

All coterminal angles of an angle \theta are defined as

\theta +2n\pi or \theta + n360^{\circ}

where, n is an integer.

The given angle is

\theta=-\dfrac{19\pi}{10}

So, all coterminal angles of an angle \theta are

-\dfrac{19\pi}{10}+2n\pi

For n=1,

\Rightarrow -\dfrac{19\pi}{10}+2(1)\pi

\Rightarrow -\dfrac{19\pi}{10}+2\pi

\Rightarrow \dfrac{-19\pi+20\pi}{10}

\Rightarrow \dfrac{1\pi}{10}

Since,  \dfrac{\pi}{10}  between 0 and 2π, therefore,  the required coterminal angle is \dfrac{\pi}{10}.

6 0
3 years ago
The length is _____ the width is______ and the area of the actual room is ___ _______
RSB [31]

Answer:

98 square inches.

Step-by-step explanation:

The length is 14 inches. The width is 7 inches.

7 * 14 = 98 square inches.

The area is 98 square inches.

8 0
3 years ago
Two planes that are traveling toward each other are 720 miles apart. One plane is traveling 40 miles per hour faster than the ot
natali 33 [55]

Answer:

y = 460 miles per hr

x = 500 miles per hr

Step-by-step explanation:

Let the planes be X any

Let their speeds be xmiles/hr and ymiles/hr respectively

x = y + 40 (assuming X is faster by 40miles/hr)

Distance travelled by X to meet Y = 0.75x

Distance travelled by Y to meet X = 0.75y

0.75x + 0.75y = 720 --------1

Put x = y + 40 in eqn 1

0.75(y+40) + 0.75y = 720

0.75y + 30 + 0.75y= 720

1.5y = 690

y = 460 miles per hr

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= 500 miles per hr

7 0
3 years ago
Approximate the value of pie 5 to the nearest hundredth.
zheka24 [161]

Step-by-step explanation:

3.14

To round to the nearest hundredth, we therefore need to look at the digit immediately to its right—in other words, the 1 in the thousandths place. Since that number is less than 5, we need to round down—which gives us a rounded value of pi equal to 3.14

7 0
3 years ago
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