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GalinKa [24]
1 year ago
5

If f(x) = 3x² and g(x)=2x-3, find f(g(x)).

Mathematics
1 answer:
aev [14]1 year ago
3 0

Answer:  36/24=18/12=9/6= or 1 1/3

Step-by-step explanation:

plug g(x) into f(x) then follow f(x) by 3(2x-3)^2 this foils out to be

36 plus or minus sqrt (36)^2-4(12)(270) over 24

the variables in the square root cancel so your left with 36/24 and in its simplest form its 1 1/3

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Find the product of 9x(-3x²y-7xz)
kogti [31]

Answer:

- 27 {x}^{3} y - 63 {x}^{2} z

Step-by-step explanation:

9x( - 3 {x}^{2} y - 7xz)

= 9x \times ( - 3 {x}^{2} y)  + 9x \times ( - 7xz)

=  - 27 {x}^{3} y - 63 {x}^{2} z

4 0
3 years ago
A cone has radius 9 and height 12. A frustum of this cone has height 4.
Rom4ik [11]

The radii of the frustrum bases is 12

Step-by-step explanation:

In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section

As given in the figure radius and height of the cone are 9 and 12 respectively

Similarly, the height of the frustum is 4

Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)

We can see that ΔABC is similar to ΔADE

Using the similarity theorem

AC/AE=BC/DE

Substituting the values  

12/16=9/DE

∴ DE= 16*9/12= 12

Hence the radii of the frustum is 12  

3 0
3 years ago
Rhian sat a math test and an english test.In the maths test she scored 14 out of 17.In the english test she scored 31 out of 39.
Dvinal [7]

Answer:

The maths test

Step-by-step explanation:

If you convert both of the results to percentage,

Maths:

\frac{14}{17}   \times 100 = 82\%

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\frac{31}{39}  \times 100 = 79\%

You'll see that she scored better in the maths test.

4 0
3 years ago
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