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3 years ago

Find the missing factor B that makes the equality true. 21y^4= (B) (7y^3)

Mathematics

1 answer:

adelina 88 [10]3 years ago

8 0

Answer:

21y^4= B*7y^3

B=(21y^4)/(7y^3)

B=3y

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Given that f(x)=2x/3 evaluate f^-1(6)

abruzzese [7]

Answer:

Step-by-step explanation:

we know by definition that

$f^{-1}(f(x))=x\\\\f^{-1}(\frac{2x}{3})=x\\\\f^{-1}(x)=ax\\\\f^{-1}(\frac{2x}{3})=a(\frac{2x}{3})=x\\\\f^{-1}(x)=\frac{3x}{2}$

so now we evaluate

$f^{-1}(6)=\frac{3*6}{2}\\\\=3*3\\\\f^{-1}(6)=9$

and if we want to do an extra step

$f^{-1}(f(6))=6\\\\f^{-1}(\frac{2*6}{3})=f^{-1}(4)=\frac{3*4}{2}=6$

which works.

4 0

3 years ago

For the function y = -2+5sin(pi/12(x-2)), what is the maximum value?

myrzilka [38]

To get the function y = -2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))

Equate to zero:
5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8

Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86

8 0

3 years ago

Which lengths could be the sides of a triangle?

galina1969 [7]

345,354,354,341,098cm

5 0

4 years ago

Joe owns a stock which has probability .5 of going up. This morning, he bought a ticket in a lottery game which gives him a prob

Anit [1.1K]

Answer:

The probability that Joe's stock will go up and he will win in the lottery is 0.00005.

Step-by-step explanation:

Let the events be denoted as:

X = the stock goes up

Y = Joe wins the lottery

Given:

P (X) = 0.50

P (Y) = 0.0001

The events of the stock going up is not dependent on the the event of Joe winning the lottery.

So the events X and Y are independent of each other.

Independent events are those events that can occur together at the same time.

The joint probability of two independent events A and B is,

$P(A\cap B)=P(A)\times P(B)$

Compute the value of P (X ∩ Y) as follows:

$P(X\cap Y)=P(X)\times P(Y)=0.50\times 0.0001=0.00005$

Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.

3 0

3 years ago

Read 2 more answers

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the dista

irakobra [83]

Answer: Car B traveled 60 mph.

Step-by-step explanation:

A= B-15

A: (B - 15)(2 hr)=D

B: (B)(1.5)=D

Since B and A traveled the same distance you can plug in 1.5B for D.

2B - 30 = 1.5B

-1.5B +30 = -1.5B

——————+30—

2(0.5B) = 2(30)

B = 60 mph

4 0

3 years ago

Read 2 more answers

Find the missing factor B that makes the equality true. 21y^4= (B) (7y^3)​

Find the missing factor B that makes the equality true. 21y^4= (B) (7y^3)