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Evgen [1.6K]
3 years ago
9

Solve the problem down below: ty :P

Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

Answer:

the correct answer is1/4

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Step-by-step explanation:

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3 years ago
Solve the equation 1/2(16x – 6) = 2.
Lorico [155]

Answer:

x = 0.625 or 5/8

Step-by-step explanation:

1/2(16x-6) = 2

8x - 3 = 3

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3 years ago
F(x) = 2x^2-x-1<br> if f(x) = -1, what is x? What point(s) are on the graph<br> of f ?
Elina [12.6K]

Answer:

x = 0, x = 0.5 or 1/2 The points on the graph are ( -1/2 or -0.5,0 ) and ( 1,0 )

Step-by-step explanation:

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8 0
3 years ago
For the sequence below, identify the type of sequence and important features
Romashka-Z-Leto [24]
Hey there!

The answer would be B. Geometric sequence with an initial value of 7 and a growth factor of 2. The first, or initial value is 7 in the sequence and each number is multiplied by 2 as the sequence goes on.


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7 0
3 years ago
Factor f(x)=x4-x3-7x2+13x-6 completely. Then Sketch the graph
Dennis_Churaev [7]

ANSWER TO QUESTION 1


f(x)=(x-2)(x+3)(x-1)^2.



EXPLANATION


The function given to us is,


f(x)=x^4-x^3-7x^2+13x-6


According to rational roots theorem,


\pm1,\pm2,\pm3,\pm6 are possible rational zeros of  


f(x)=x^4-x^3-7x^2+13x-6.


We find out that,


f(-3)=(-3)^4-(-3)^3-7(-3)^2+13(-3)-6


f(-3)=81+27-63-39-6



f(-3)=6-6



f(-3)=0


Also




f(2)=(2)^4-(2)^3-7(2)^2+13(2)-6



f(2)=16-8-28+26-6



f(2)=6-6



f(2)=0


This implies that  


x-2 and x+3 are factors of



f(x)=x^4-x^3-7x^2+13x-6 and hence (x-2)(x+3)=x^2+x-6 is also a factor.



We perform the long division as shown in the diagram.



Hence,


f(x)=(x-2)(x+3)(x-1)^2.


ANSWER TO QUESTION 2

Sketching the graph

We can see from the factorization that the roots  

x=2 and x=-3 have a multiplicity of 1, which is odd. This means that the graph crosses the x-axis at this intercepts.


Also the root x=1 has a multiplicity of 2, which is even. This means the graph does not cross the x-axis at this intercept.



Now we determine the position of the graph on the following intervals,


x\le -3


f(-4)=(-4)^4-(-4)^3-7(-4)^2+13(-4)-6


f(-4)=150\:>0



-3\le x \le 1


f(0)=-6\:


1\le x\le 2


f(1.5)=-0.56\:



x \ge 2



f(3)=24\:>0



We can now use these information to sketch the function as shown in diagram



4 0
3 years ago
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