1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ICE Princess25 [194]
3 years ago
16

The function f(x) = 0.11(3)x is reflected over the x-axis to produce function g(x). Function g(x) is then reflected over the y-a

xis to produce function h(x). Which function represents h(x)?
a. h(x) = –0.11(3)x
b. h(x) = 0.11(3)–x
c. h(x) = 0.11(3)x
d. h(x) = –0.11(3)–x
Mathematics
2 answers:
netineya [11]3 years ago
6 0

the answer is:

D) h(x)= -0.11(3)-x

Hope, this helps

(E2020)

kozerog [31]3 years ago
3 0

Answer:

Option d is correct

h(x) = -0.11 \cdot (3)^{-x}

Step-by-step explanation:

Given the function:

f(x) = 0.11 \cdot 3^x

First find the function g(x) when f(x) is reflected over the x-axis.

The rule of reflection across x-axis is given by:

(x, y) \rightarrow (x, -y)

then;

Apply the rule of reflection across x-axis on f(x) we get,

g(x)=-0.11 \cdot (3)^{x}

Now, function g(x) is then reflected over the y-axis to produce function h(x).

The rule of reflection across y-axis is given by:

(x, y) \rightarrow (-x, y)

then;

Apply the rule of reflection across y-axis on g(x) we get,

h(x) = -0.11 \cdot (3)^{-x}

Therefore, h(x) = -0.11 \cdot (3)^{-x} function represents h(x)

You might be interested in
Finf the exact value of sin A and cos A where a = 9 and b = 10 and <c is a right angle
Katyanochek1 [597]
To solve for the longest side, the hypotenuse, you have to use the pythagorean theorem. It will be 10^2 + 9^2 = c^2. 100 + 81 =c^2. 
c^2 = 181 so c = sqrt(181).
to find sin of A do opposite/hypotenuse which gives you 9/sqrt(181)
to find cos of A do adjacent/hypotenuse which gives you 10/sqrt(181)

8 0
3 years ago
Read 2 more answers
8.)What is the Measurement of angle 2?<br><br> 9.) What is the measure of angle 7?
EastWind [94]

Answer:

angle 2 = 90° {corresponding angles}

angle 7 + angle 5 = 180° {linear pair}

or, angle 7 + 100° = 180° {angle 5 is corresponding to 100°}

so, angle 7 = 80°

8 0
2 years ago
What is the answer to log↓2(x)-3=1
sveticcg [70]
If u are trying to solve for x is that x=2
7 0
3 years ago
If m=8, how many solutions are there for the expression m-8?
ss7ja [257]

Answer:

1 solution, 0

Step-by-step explanation:

In algebra, a variable can be equal to any amount of numbers depending on how it is used. In this case, m is only equal to the one value of 8, and therefore only has <u>one solution.</u>

m - 8

(8) - 8

0

5 0
3 years ago
Consider the function ​f(x)equalscosine left parenthesis x squared right parenthesis. a. Differentiate the Taylor series about 0
dybincka [34]

I suppose you mean

f(x)=\cos(x^2)

Recall that

\cos x=\displaystyle\sum_{n=0}^\infty(-1)^n\frac{x^{2n}}{(2n)!}

which converges everywhere. Then by substitution,

\cos(x^2)=\displaystyle\sum_{n=0}^\infty(-1)^n\frac{(x^2)^{2n}}{(2n)!}=\sum_{n=0}^\infty(-1)^n\frac{x^{4n}}{(2n)!}

which also converges everywhere (and we can confirm this via the ratio test, for instance).

a. Differentiating the Taylor series gives

f'(x)=\displaystyle4\sum_{n=1}^\infty(-1)^n\frac{nx^{4n-1}}{(2n)!}

(starting at n=1 because the summand is 0 when n=0)

b. Naturally, the differentiated series represents

f'(x)=-2x\sin(x^2)

To see this, recalling the series for \sin x, we know

\sin(x^2)=\displaystyle\sum_{n=0}^\infty(-1)^{n-1}\frac{x^{4n+2}}{(2n+1)!}

Multiplying by -2x gives

-x\sin(x^2)=\displaystyle2x\sum_{n=0}^\infty(-1)^n\frac{x^{4n}}{(2n+1)!}

and from here,

-2x\sin(x^2)=\displaystyle 2x\sum_{n=0}^\infty(-1)^n\frac{2nx^{4n}}{(2n)(2n+1)!}

-2x\sin(x^2)=\displaystyle 4x\sum_{n=0}^\infty(-1)^n\frac{nx^{4n}}{(2n)!}=f'(x)

c. This series also converges everywhere. By the ratio test, the series converges if

\displaystyle\lim_{n\to\infty}\left|\frac{(-1)^{n+1}\frac{(n+1)x^{4(n+1)}}{(2(n+1))!}}{(-1)^n\frac{nx^{4n}}{(2n)!}}\right|=|x|\lim_{n\to\infty}\frac{\frac{n+1}{(2n+2)!}}{\frac n{(2n)!}}=|x|\lim_{n\to\infty}\frac{n+1}{n(2n+2)(2n+1)}

The limit is 0, so any choice of x satisfies the convergence condition.

3 0
3 years ago
Other questions:
  • utilizando la equivalencia indicada, resuelve el siguiente ejercicio: 1 pulgada = 2.54cm 4.2 cm = _____ pulgadas
    15·1 answer
  • In parallelogram LMNO, what are the values of x and y?
    14·2 answers
  • A 10-sided fair die, a 20-sided fair die, and a 12-sided fair dice are rolled. What is the probability of all three happening: S
    10·1 answer
  • Between which two integers is the positive value of the square root of 55?
    14·2 answers
  • 5 to the 2th power minus negative 3 to the 2to power
    7·1 answer
  • Solve absolute value equation<br>|n| = 3
    14·1 answer
  • Steeze Co. makes snowboards and uses the total cost approach in setting product prices. Its costs for producing 10,500 units fol
    14·1 answer
  • Analyze the student’s work. Is the answer correct? Explain.<br><br> Ik its not B
    5·1 answer
  • -20 + 6 = - +5 Approximate the solution to the equation above using three iterations of successive approximation. Use the graph
    8·3 answers
  • Calculate Mechanical Advantage To lift a crate, a pulley system exerts a force of 2,750 N. Find the mechanical advantage of the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!