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
VLD [36.1K]
2 years ago
12

Let

> be the reflection of f(x)=3x+3 in the x-axis. What is the function rule for h(x)?
Please explain. I really need to understand. Thanks!

Mathematics
1 answer:
allsm [11]2 years ago
4 0

Answer:

  h(x) = -3x-3

Step-by-step explanation:

Reflection in the x-axis means every y-coordinate on the graph is replaced by its opposite. For example, instead of going up 3 units to plot the point, you go down 3 units to plot the reflected point.

The y-value is negated by multiplying the function value by -1.

  h(x) = (-1)·f(x) = (-1)(3x +3)

  h(x) = -3x -3

You might be interested in
Which equation represents the hyperbola in general form?
valina [46]

ANSWER

D.

9 {y}^{2}  - 4 {x}^{2}- 36y + 16x - 16 = 0

EXPLANATION

The standard equation of the hyperbola is

\frac{ {(y - 2)}^{2} }{4}  -  \frac{ {(x - 2)}^{2} }{9}  = 1

We multiply through by 36 to obtain:

9 {(y - 2)}^{2}  - 4( {x - 2)}^{2}  = 36

We now expand to get,

9( {y}^{2}  - 4y + 4) - 4( {x}^{2}  - 4x + 4) = 36

Expand :

9 {y}^{2}  - 36y + 36  - 4 {x}^{2}  + 16x - 16 = 36

To get the general form, we equate everything to zero to get,

9 {y}^{2}  - 4 {x}^{2}- 36y + 16x - 16 = 0

The correct choice is D.

7 0
3 years ago
How many rectangular faces does a pentagonal pyramid have?
Evgen [1.6K]
My best answer 5 faces.
7 0
2 years ago
Read 2 more answers
Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10
zvonat [6]

The approximate difference in the ages of the two cars, which  depreciate to 60% of their respective original values, is 1.7 years.

<h3>What is depreciation?</h3>

Depreciation is to decrease in the value of a product in a period of time. This can be given as,

FV=P\left(1-\dfrac{r}{100}\right)^n

Here, (<em>P</em>) is the price of the product, (<em>r</em>) is the rate of annual depreciation and (<em>n</em>) is the number of years.

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%.

Suppose the original price of the first car is x dollars. Thus, the depreciation price of the car is 0.6x. Let the number of year is n_1. Thus, by the above formula for the first car,

0.6x=x\left(1-\dfrac{10}{100}\right)^{n_1}\\0.6=(1-0.1)^{n_1}\\0.6=(0.9)^{n_1}

Take log both the sides as,

\log 0.6=\log (0.9)^{n_1}\\\log 0.6={n_1}\log (0.9)\\n_1=\dfrac{\log 0.6}{\log 0.9}\\n_1\approx4.85

Now, the second car depreciates at an annual rate of 15%. Suppose the original price of the second car is y dollars.

Thus, the depreciation price of the car is 0.6y. Let the number of year is n_2. Thus, by the above formula for the second car,

0.6y=y\left(1-\dfrac{15}{100}\right)^{n_2}\\0.6=(1-0.15)^{n_2}\\0.6=(0.85)^{n_2}

Take log both the sides as,

\log 0.6=\log (0.85)^{n_2}\\\log 0.6={n_2}\log (0.85)\\n_2=\dfrac{\log 0.6}{\log 0.85}\\n_2\approx3.14

The difference in the ages of the two cars is,

d=4.85-3.14\\d=1.71\rm years

Thus, the approximate difference in the ages of the two cars, which  depreciate to 60% of their respective original values, is 1.7 years.

Learn more about the depreciation here;

brainly.com/question/25297296

4 0
2 years ago
6mn (2m-3n) equals to?
Free_Kalibri [48]

Answer and Step-by-step explanation:

Distribute the 6mn to the 2m and -3n

The answer is:

(12m^{2} n ) - 18mn^{2}

#teamtrees #WAP (Water And Plant)

6 0
3 years ago
Read 2 more answers
Please help me<br>no links or I WILL report you<br>thank you in advance​
mafiozo [28]

Answer:

the answer is 24 because if you 6 x 4 it's 24

also with 4x6 it's still 24

plz give me a brailnliess

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Simplify 8 over the quantity of 2 plus 2i.
    9·1 answer
  • At a local fitness center, members pay a $14 membership fee and $3 for each aerobics class. Nonmenbers pay $5 for each aerobics
    6·1 answer
  • Suppose that you need to create a list of n values that have a specific known mean. Some of the n values can be freely selected.
    14·1 answer
  • Your brother is going to buy a car when he graduates, but he doesn't have enough money to pay for it in cash. He takes a loan ou
    9·1 answer
  • 5(3-x)&lt;-2x+6 need help ASAP please
    9·1 answer
  • 1. Which monomial has the highest<br> degree?<br> A 18a5<br> B 12ab<br> C 9ab<br> D 6abaca
    10·1 answer
  • Taxi A charges a fee of $3.50, plus $1.75 per mile. Taxi B charges a few of $1.25, plus $2.00 per mile. At what distance would t
    12·1 answer
  • Graph the equation 2/3x2 + 4x+ 4
    6·1 answer
  • If a recipe uses 5 cups of flour for every 2 cups of sugar, how much sugar is used for every 1 cup of flour?
    11·1 answer
  • Help! I have no idea what to do! Will award brainliest!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!