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babymother [125]
2 years ago
13

Please help me with this translating trigonometry graphs question. Brainliest and Points Available.

Mathematics
1 answer:
andreev551 [17]2 years ago
3 0

According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

<h3>How to apply translations on a given function</h3>

<em>Rigid</em> transformations are transformation such that the <em>Euclidean</em> distance of every point of a function is conserved. Translations are a kind of <em>rigid</em> transformations and there are two basic forms of translations:

Horizontal translation

g(x) = f(x - k), k ∈ \mathbb {R}     (1)

Where the translation goes <em>rightwards</em> for k > 0.

Vertical translation

g(x) = f(x) + k, k ∈ \mathbb {R}     (2)

Where the translation goes <em>upwards</em> for k > 0.

According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

To learn more on translations: brainly.com/question/17485121

#SPJ1

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5.50

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What is the sum of 18 tenths and 82 hundredths?​ A 0.100 B26.2. C100 D 2.62​
Bond [772]

Answer:

100

Step-by-step explanation:

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4 0
3 years ago
In how many years will $ 21,136.18 amount to $ 75,514.55 at 27.54 % per annum when compounded quarterly?
qaws [65]

The number of years is 4.781 in which $21,136.18 amount to $75,514.55 at 27.54% per annum when compounded quarterly and this can be determined by using the formula of the compound interest.

Given :

  • Principal amount = $21136.18
  • Final amount = $75514.55
  • Interest rate per annum = 27.54%
  • Compounded quaterly.

The formula of the compound interest is given by:

\rm A= P(1+\dfrac{r}{n})^{nt}\\

where A is the final amount, P is the principal amount, r is the interest rate, t is the time in years, and 'n' is a number of times interest applied.

Now, substitute the values of known terms in the above formula.

\rm 75514.55= 21136.18(1+\dfrac{0.2754}{4})^{4\times t}\\

3.5727=(1.06885)^{4t}

Now, take the log on both sides.

\rm log(3.5727)=(4t)log(1.006885)

19.1237 = 4t

t = 4.781 years

Therefore, the correct option is B).

For more information, refer to the link given below:

brainly.com/question/14295570

3 0
3 years ago
Read 2 more answers
-1/3, -0.2, 5/3, 0.4, 1.3 order from least tot greatest
k0ka [10]
-1/3 = -0.3 repeating
-0.2
5/3 = 1.6 repeating
0.4
1.3

Ordered from least to greatest:
-1/3
-0.2
0.4
1.3
5/3

5 0
3 years ago
Read 2 more answers
A student performed the following steps to find the solution to the question x^2 - 2x - 15 = 0. Where did the student go wrong?
nataly862011 [7]

Answer:

D  In step 3

Step-by-step explanation:

Given polynomial:  x² - 2x - 15 = 0

Step 1:  factor the polynomial ⇒ (x + 3)(x - 5) = 0

Step 2:  x + 3 = 0  and  x - 5 = 0

Step 3:  x = -3  and x = 5

x - 5 = 0

Add 5 to both sides:

⇒ x - 5 + 5 = 0 + 5

⇒ x = 5

7 0
2 years ago
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