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Anestetic [448]
3 years ago
10

According to the rational root theorem, which answer is not a possible rational root of x^3+9x^2-x+8=0

Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

6

Step-by-step explanation:

The rational root theorem states that the roots must be factors of p/q

where p is the constant and q is the coefficient of the highest order term

p = 8  which has factors ±1, ±2,±4,±8

q  = 1 which has factors ±1

The possible roots are ±1, ±2,±4,±8

                                        --------------------

                                           ±1

which simplifies to

±1, ±2,±4,±8

6 is not a possible root

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Tania took selfies with her 8 cousins. Each cousins is in 2 or 3 picture. There are exactly 5 cousins on each picture. How many
andreev551 [17]

Answer:

4

Step-by-step explanation:

How many selfies did Tania take? (my first answer would be too many, but that's probably not the answer you're looking for :-) )

We know that each cousin appear 2 or 3 times overall.

If she would have taken each cousin exactly 2 times, that would be 16 cousins/photos

If she would have taken each cousin exactly 3 times, that would be 24 cousins/photos

We know there's exactly 5 cousins per photo...

so we have to find a multiple of 5 cousins/photos that is between 16 and 24.

The only possibility is 20 cousins/photos.  20 / 5 = 4 photos.

8 0
3 years ago
PLEASE ANSWER ASAP
Nastasia [14]

Answer:

y = 4 (2)^{x}

Step-by-step explanation:

For an exponential function in standard form

y = a (b)^{x}

To find the values of a and b, use ordered pairs from the table

Using (0, 4 ), then

4 = ab^{0} ( b^{0} = 1 ), so

a = 4

y = 4b^{x}

Using (1, 8 ), then

8 = 4b^{1} = 4b ( divide both sides by 4 )

2 = b

Thus

y = 4 (2)^{x} ← exponential function

7 0
3 years ago
In calculating the present value of $1,000 to be received 5 years from today, the discount factor has been calculated to be .700
Trava [24]
To calculate the present value we shall proceed as follows:
from the present value table, the percentage corresponding to discount factor of 0.7008 in 5 years is 7%
therefore using the formula:
FV=PV(1+r/100)^n
where:
FV=$1000
PV=?
r=7%

hence:
1000=PV(1+7/100)^5
PV=1000/(1+7/100)^5
PV=712.986

6 0
3 years ago
What is the volume of the cone?<br> A.16.8<br> B.33.5<br> C.134.0<br> D.8.4
vladimir2022 [97]

Answer:

B. 33.5

Step-by-step explanation:

V=πr2h

3=π·2^2·8/3≈33.51032

5 0
3 years ago
7x + 5 = 3(2x + 3) + x - 4​
Vika [28.1K]

Answer:

7x+5=7x+5 they are equal same lines

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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