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Aneli [31]
3 years ago
15

(v3-2v2-14v-5) ÷ ( v+3) What is the solution? Is dividing polynomials

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0
This can be done using synthetic division.

1 -2 -14 -5
-3 -3 15 -3
___________
1 -5 1 -8
v^2 - 5v + 1 remainder -8
OR
v^2 - 5v + 1 -8/(v + 3)
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Two armadillos and three aardvarks sat in a five-seat row at the Animal Auditorium. What is the probability that the two animals
Serhud [2]

Answer:

      \dfrac{1}{15}

Explanation:

The number of different ways in which the<em> two armadillos</em> would be at the ends of the row is 2:

                      P(2,2)=\dfrac{2!}{(2-2)!}=\dfrac{2}{0!}=2

The number of different combinations in which<em> two of the three aardvarks </em>can sit at the ends of the row is P(3,2):

          P(3,2)=\dfrac{3!}{(3-2)!}=\dfrac{3\times 2\times 1}{1}=6

Therefore, there are 2 + 6 = 8 different ways in which the two animlas on the ends of the row were both armadillos or both aardvarks.

Now calculate the total number of different ways in which the animals can sit. It is P(5,5):

        P(5,5)=\dfrac{5!}{(5-5)!}=5!=5\times 4\times 3\times 2\times 1=120

Thus, <em>the probability that the two animals on the ends of the row were both armadillos or both aardvarks</em> is equal to the number of favorable outputs divided by the total number of possible outputs:

      Probability=\dfrac{8}{120}=\dfrac{1}{15}

8 0
3 years ago
A line contains the points (3, -4) and (0, 2). What is the equation of this line in slope-intercept form?
Lera25 [3.4K]

Answer:

B. y = –2x + 2

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

-y₁ + y₂\-x₁ + x₂ = m

\frac{4 + 2}{-3 + 0} = -\frac{6}{3} = -2

In this case, the y-intercept of [0, 2] is ALREADY given to you, so we would not have to go further.

I am joyous to assist you anytime.

8 0
3 years ago
If f(x) = 2x+3 and g(x) = x^2 + 1, find f(g(3)).
Ilia_Sergeevich [38]

Answer:

23

Step-by-step explanation:

g(3) = 3²+1 = 10

f(g(3)) = 2(10) + 3

= 23

3 0
3 years ago
Pleaseee help. I’m having a hard time with this problem. Giving away 20 points.
salantis [7]

Answer:

i can't see it is to tinny so i don't know what to do

Step-by-step explanation:

6 0
3 years ago
What is the value of s in the equation below 0.3s + 0.8 (s -12)=33.3
nikdorinn [45]
First, you distribute 0.8 through the parentheses by multiplying 0.8 by s and -12, which gets you to 0.8s-9.6. Now, the equation is changed to 0.3s+0.8s-9.6=33.3. Then, you add like terms (add the two numbers with the s) by doing 0.3s+0.8s which gets you to 1.1s-9.6=33.3, all thats left is adding 9.6 on both sides which gets you to 1.1s=42.9. Now finally, you divide 42.9 by 1.1 and you get 39. The value of s in the equation is 39.
8 0
3 years ago
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