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Paladinen [302]
3 years ago
11

TRUE OR FALSE: FOR ANY FUNCTION, X=F^-1(Y), THEN Y=F(X). PLEASE EXPLAIN

Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0

Answer:

True.

Step-by-step explanation:

For example let f(x) = 3x + 1  then f-1(x)  is found as follows

Let f(x) = y = 3x + 1 then

3x = y - 1

x = (y-1) / 3

x = f-1(x) = (x - 1)/3.

So:

Replacing the x  in y by (x - 1)/3 :-

x = f(-1)(y) = ( (3x + 1) - 1) / 3

= 3x / 3

= x.

So y = f(x).

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These cones are similar. find the volume of the smaller cone. round to the nearest tenth.
Kamila [148]

Answer:

Volume of the smaller cone = 8.34 cm³

Step-by-step explanation:

"If two figures are similar, their dimensions will be proportional.

Following this rule,

Ratio of the dimensions of two cones = \frac{\text{Radius of the large cone}}{\text{Radius of the small cone}}

                                                               = \frac{r_2}{r_1}

                                                               = \frac{5}{2}

                                                               = 2.5

Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".

Ratio of the volumes = (ratio of the dimensions)³

\frac{V_1}{V_2}=(2.5)^3

\frac{131}{V_2}=15.625

V_2=\frac{131}{15.625}

    = 8.384 cm³  

    ≈ 8.4 cm³

Therefore, volume of the smaller cone is 8.4 cm³.                          

8 0
3 years ago
What is the product of 5×10'5​
Oksanka [162]
(if the last five is an exponent, here is the answer)

5 • 10^5
first work on the exponent
5 • 100,000
multiply
500,000
6 0
4 years ago
A simple question:<br><br><br>Is a vector made like or ?
agasfer [191]

Answer:

A vector is a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another.

4 0
3 years ago
Select the correct answer.
BaLLatris [955]

Answer:

80

Step-by-step explanation:

in the figure above, angle 100 degrees is corresponding to the angle co - interior to angle x

that is

if we put an angle that is at the upper left of x, we can call that y which is corresponding to 100 degrees

since y is corresponding to 100 degrees, it automatically becomes the same as 100 degrees

therefore y=100

now, from the first line above, we know that x and y are co-interior which means that they both add up to 180 degrees

that is

x+y=180

we know that y = 100

therefore,

x+100=180

collect like terms and

x = 180-100

therefore,

x= 80

thank you!!

7 0
3 years ago
How do you solve #21?
Inessa05 [86]
5x^3+8x^2/3x^4-16x^2=x^2(5x+8)/x^2(3x^2-16)=5x+8/3x^2-16
lim x--->0 5x+8/3x^2-16=8/-16=-1/2
6 0
3 years ago
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