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sveta [45]
2 years ago
10

Please help whats a,h,k??

Mathematics
1 answer:
harina [27]2 years ago
5 0

9514 1404 393

Answer:

  a = -2, h = 2, k = 1

Step-by-step explanation:

Compare the expressions. Match one pattern to the other.

  f(x)=-2|x-2|+1\\\\f(x)=\ \,\,a|x-h|+k \qquad\ a=-2,\ h=2,\ k=1

__

The transformations are ...

  Translation by (h, k) = (2, 1). That is, 2 units right and 1 unit up.

  Vertical scaling by "a", which is (i) reflection over the x-axis (because a < 0), and (ii) expansion by a factor of 2.

A table and graph are shown in the attachment.

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Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.
klasskru [66]

Answer:

See the explanation

Step-by-step explanation:

We know that

f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x

Lets calculate the derivatives:

f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)

f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x

Similarly:

f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x

f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x

Rearrange:

f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24

f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x

Rearrange:

f''''(x) = 720x² + (24/x⁵) - 16sin2x +72

8 0
2 years ago
Subtract 9y - 3 from 6y +1
Alexus [3.1K]

Answer: 3y +2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle ha length 3/8 and width of 3in. D
chubhunter [2.5K]

By comparing the dimensions above with the dimensions of Taylor's first rectangle, we have the following:

  • No, a length of 6 in, width 3/4 in. is not proportional.
  • Yes, a length of 1/2 in, width 4 in. is not proportional.
  • No, a length of 1 1/8 in, width 9 in. is not proportional.
  • No, a length of 3 in, width 5 5/8 in. is not proportional.

<h3>What is a direct proportion?</h3>

Mathematically, a direct proportion (direct variation) can be represented the following mathematical expression:

y = kx

Where:

  • y and x are the variables or dimensions.
  • k represents the constant of proportionality.

For the dimensions of the rectangular pieces of paper to be proportional, the length and width must remain in a constant ratio.

Next, we would determine the constant of proportionality (k) as follows:

k = y/x

k = (3/8)/3

k = 3/24

k = 1/8

For dimension 1, we have:

k = y/x

k = (6)/(3/4)

k = 24/3

k = 8 (No).

For dimension 2, we have:

k = y/x

k = (1/2)/4

k = 1/2 × 1/4

k = 1/8 (Yes).

For dimension 3, we have:

k = y/x

k = (1 1/8)/9

k = (9/8)/8

k = 9/8 × 1/8

k = 9/64 (No).

For dimension 4, we have:

k = y/x

k = (3)/(5 5/8)

k = 3/(45/8)

k = 3 × 8/45

k = 24/45 (No).

Read more on proportionality here: brainly.com/question/12866878

#SPJ1

Complete Question:

Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle has length 3/8 in. and width 3 in. Determine which dimensions below are proportional to the dimensions of Taylor's first rectangle.

3 0
11 months ago
Zack counts 12 total stars on a paper. 1/3 of the stars are yellow. How many yellow stars are on the paper?
jenyasd209 [6]

Answer:

4 stars

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Express 56 1/4% as a fraction, simplest form.
diamong [38]
Any percentage can be created into a fraction by taking the number in the percent (56.5) being put over 100, as percentages are out of 100:
56.5/100
This is not in simplest form, as it has a decimal, so try multiplying both the numerator and the denominator by 2:
56.5/100 x 2 = <u><em>113/200
</em></u>Since our numerator, 113, is prime, this cannot be simplified, so this is the final answer.
Hope this helps!

6 0
3 years ago
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