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aniked [119]
2 years ago
9

Can someone explain how to do this, please?​

Mathematics
1 answer:
BartSMP [9]2 years ago
6 0

Answer:

\sqrt{ {28x}^{2} - 6x }

Step-by-step explanation:

You would substitute "2x" for every "x" in the function in the same way you would substitute any other number.

So if f(x)=Sqrt[7x²-3x], then: f(2x)=Sqrt[7(2x)²-3(2x)]

=Sqrt[7(4x²)-3(2x)]

=Sqrt[28x²-6x]

You might be interested in
Expansion Numerically Impractical. Show that the computation of an nth-order determinant by expansion involves multiplications,
posledela

Answer:

  • number of multiplies is n!
  • n=10, 3.6 ms
  • n=15, 21.8 min
  • n=20, 77.09 yr
  • n=25, 4.9×10^8 yr

Step-by-step explanation:

Expansion of a 2×2 determinant requires 2 multiplications. Expansion of an n×n determinant multiplies each of the n elements of a row or column by its (n-1)×(n-1) cofactor determinant. Then the number of multiplies is ...

  mpy[n] = n·mp[n-1]

  mpy[2] = 2

So, ...

  mpy[n] = n! . . . n ≥ 2

__

If each multiplication takes 1 nanosecond, then a 10×10 matrix requires ...

  10! × 10^-9 s ≈ 0.0036288 s ≈ 0.004 s . . . for 10×10

Then the larger matrices take ...

  n=15, 15! × 10^-9 ≈ 1307.67 s ≈ 21.8 min

  n=20, 20! × 10^-9 ≈ 2.4329×10^9 s ≈ 77.09 years

  n=25, 25! × 10^-9 ≈ 1.55112×10^16 s ≈ 4.915×10^8 years

_____

For the shorter time periods (less than 100 years), we use 365.25 days per year.

For the longer time periods (more than 400 years), we use 365.2425 days per year.

8 0
3 years ago
The number of carbon atoms in a fossil is given by the function y= 5100(0.95)^x where x represents the number of years since bei
natita [175]

Answer:

This is a guess!

When looking at the given equation I can not help but think of compound interest. So I am going to convert this into that format.

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Within the context of financial interest:

Looking for:

P

(

1

−

x

)

n

Where P is the principle sum,

x

is the interest and n is the number of interest cycles (annual)

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Given:

y

=

5100

(

0.95

)

x

But

0.95

=

1

−

0.05

so we have

y

=

5100

(

1

−

0.05

)

x

But

.

0.05

=

5

100

So we have

y

=

5100

(

1

−

5

100

)

x

Thus the percentage change each year is

−

5

%

Step-by-step explanation:

8 0
3 years ago
If angle 3 is congruent to angle 4, then find the measure of angle 3 to the ratio of the measure of angle 4.
djyliett [7]

Answer:

bhdwkvdveqvhjvhjawvhjcddvscg

wvvdgvewagvdgwvgdvwgevdegw

Step-by-step explanation:

8 0
3 years ago
13.48x - 200 < 256.12​
podryga [215]

Answer:

x < 33.84

Step-by-step explanation:

we have

13.48x-200 < 256.12

Solve for x

Adds 200 both sides

13.48x-200 +200 < 256.12+200

13.48x < 456.12

Divide by 13.48 both sides

13.48x/13.48 < 456.12/13.48

x < 33.84

The solution is the interval ----> (-∞, 33.84)

All real numbers less than 33.84

5 0
3 years ago
Avery brought 1 gallons of sports drink for the track team to practice. How many pints is that amount?
Shkiper50 [21]
The amount will be 8 pints
3 0
2 years ago
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