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Mariulka [41]
3 years ago
11

If the ratio between the radii of two spheres is 3:7, what is the ratio of

Mathematics
1 answer:
ad-work [718]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Ratio of volume is ratio of the radius raised to the power 3.

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Find the domain and range of the relation:
Taya2010 [7]

Answer:

Domain is (8,7,6,5) and Range is (7,7,7,7)

6 0
3 years ago
Solve 3(x 1) 6 = 33. 10 8 8.7 8
antiseptic1488 [7]
3(x + 1) + 6 = 33
3(x + 1) = 33 - 6 = 27
x + 1 = 27/3 = 9
x = 9 - 1 = 8
x = 8
7 0
4 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
Use the set of ordered pairs to determine whether the relation is a one-to-one function. {(−6,21),(−23,21),(−12,9),(−24,−10),(−2
GenaCL600 [577]

Answer:

the relation is not one-to-one.

Step-by-step explanation:

it can't because every number is in the 4th quadrant.  

5 0
3 years ago
Please help me :). It would be gladly appreciated:)
ElenaW [278]

Answer:

3rd option

Step-by-step explanation:

The range are the values covered on the y- axis

The lowest value is - 2

The highest value is 6

Both points have a solid circle on them indicating y can equal those values

range { y : - 2 ≤ y ≤ 6 }

7 0
3 years ago
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