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2 years ago

Help pls ! This is trigonometric function

Mathematics

1 answer:

storchak [24]2 years ago

8 0

Answer:

Amplitude: 4

Period: π

midline: y = 1

Step-by-step explanation:

r(x) = -4 sin(2x) + 1

r(x) = a sin(bx + c) + d where |a| is the amplitude and |b| for the period

a = -4 |a| = 4 : Amplitude = 4

b = 2 |b| = 2 period of sin(x) = 2π

period of sin(bx + c) = 2π/|b| = 2π/2 = π

range of sin(2x) ... -1 ≤ sin(2x) ≤ 1

range of -4 sin(2x) + 1: -4+1 ≤ -4 sin(2x) + 1 ≤ 4+1

-3 ≤ -4 sin(2x) + 1 ≤ 5

midline: y = (-3 + 5) / 2 = 1 y = 1

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Express 71/1000 as a decimal

tresset_1 [31]

Answer:

71/1000 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 71 by 1000 what we write down as 71/1000 and we get 0.071

Step-by-step explanation:

5 0

3 years ago

PLEASE HELP ASAP!!!!

Setler [38]

Piecewise Function is like multiple functions with a speific/given domain in one set, or three in one for easier understanding, perhaps.

To evaluate the function, we have to check which value to evalue and which domain is fit or perfect for the three functions.

Since we want to evaluate x = -8 and x = 4. That means x^2 cannot be used because the given domain is less than -8 and 4. For the cube root of x, the domain is given from -8 to 1. That meand we can substitute x = -8 in the cube root function because the cube root contains -8 in domain but can't substitute x = 4 in since it doesn't contain 4 in domain.

Last is the constant function where x ≥ 1. We can substitute x = 4 because it is contained in domain.

Therefore:

$\large{ \begin{cases} f( - 8 ) = \sqrt[3]{ - 8} \\ f(4) = 3 \end{cases}}$

The nth root of a can contain negative number only if n is an odd number.

$\large{ \begin{cases} f( - 8 ) = \sqrt[3]{ - 2 \times - 2 \times - 2} \\ f(4) = 3 \end{cases}} \\ \large{ \begin{cases} f( - 8 ) = - 2\\ f(4) = 3 \end{cases}}$

Answer

f(-8) = -2
f(4) = 3

6 0

2 years ago

You start driving east for 12 miles, turn left, and drive north for another 10 miles. At the end of driving, what is your straig

Mila [183]

Answer:

15.6=c

Step-by-step explanation:

(12)^2+(10)^2=c^2

144+100=c^2

244=c^2

square root of both sides=244= square root c^2

15.620499=c

15.6=c

6 0

2 years ago

Read 2 more answers

Find the length of side BY for the given triangle.

saul85 [17]

Answer:

option 3- 5 square root 2

Step-by-step explanation:

$\sin 45° = \frac{BY}{OY} \\ \\ \frac{1}{ \sqrt{2} } = \frac{BY}{10} \\ \\ BY = \frac{10}{ \sqrt{2} } \\ \\ BY = \frac{10 \times \sqrt{2} }{ \sqrt{2} \times \sqrt{2} } \\ \\ BY = \frac{10 \sqrt{2} }{2 } \\ \\ \huge \red{ \boxed{BY = 5 \sqrt{2} }}$

3 0

3 years ago

Find the measure of the inscribed angle.

igor_vitrenko [27]

Answer:

41°

Step-by-step explanation:

Measure of the inscribed angle is half the arc measure:

x = m∠ABC = 1/2mAC
x = 1/2(82°) = 41°

4 0

2 years ago