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
Zina [86]
2 years ago
12

Given the functions f(x) = log2(2x) and g(x) = 2x – 3, which of the following statements is true? Both f(x) and g(x) decrease on

the interval of (–∞, 1). Both f(x) and g(x) have the same range of (–∞, 0]. Both f(x) and g(x) have the same x-intercept of (0, 0). Both f(x) and g(x) increase on the interval of (0 , ∞).
Mathematics
1 answer:
Mama L [17]2 years ago
7 0

The true statement is that (d) both f(x) and g(x) increase on the interval of (0 , ∞)

<h3>How to determine the true statement?</h3>

The functions are given as:

f(x) = log₂(2x)

g(x) = 2x - 3

Next, we plot the graph of both functions (see attachment)

From the attached graph, we can see that:

As x increases, the functions value increase

Hence, the true statement is that (d) both f(x) and g(x) increase on the interval of (0 , ∞)

Read more about functions at:

brainly.com/question/14391067

#SPJ1

You might be interested in
Neil drives at an average speed of 60 miles/hour to reach his destination 480 miles away. On the way back, he decides to increas
daser333 [38]

Answer:

  480/(x+60) ≤ 7

Step-by-step explanation:

We can use the relations ...

  time = distance/speed

  distance = speed×time

  speed = distance/time

to write the required inequality any of several ways.

Since the problem is posed in terms of time (7 hours) and an increase in speed (x), we can write the time inequality as ...

  480/(60+x) ≤ 7

Multiplying this by the denominator gives us a distance inequality:

  7(60+x) ≥ 480 . . . . . . at his desired speed, Neil will go no less than 480 miles in 7 hours

Or, we can write an inequality for the increase in speed directly:

  480/7 -60 ≤ x . . . . . . x is at least the difference between the speed of 480 miles in 7 hours and the speed of 60 miles per hour

___

Any of the above inequalities will give the desired value of x.

4 0
3 years ago
The length of a rectangular garden is 5 times its width.
Delvig [45]

Answer:

  • 10 m and 50 m

Step-by-step explanation:

<h3>Given</h3>
  • l = 5w
  • A = 500 m²
<h3>To find</h3>
  • Length and width
<h3>Solution</h3>

Area formula

  • A = lw
  • A= 5w*w= 5w²
  • 5w² = 500
  • w²= 100
  • w = √100
  • w = 10 m

Then

  • l = 5w = 5*10 m = 50 m

3 0
2 years ago
All real number that are less than or equal to -3 and greater thank or equal to -8
Mariulka [41]

Answer:

-3, -4, -5, -6, -7, -8

Step-by-step explanation:

Im not sure if that is what you are looking for or if you want x ≤ -3 and x ≥ -8

6 0
3 years ago
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
loris [4]
The answer would be A. 15mi
4 0
3 years ago
Q=25πh how do I solve it​
kompoz [17]

Answer: ok the answer is 42

Step-by-step explanation: so q = 17 right? and 25 = Y

so i think you add then you get 42...right? i might not get the right answer

but what letter is this i don't know this symbol or lettter: π

7 0
3 years ago
Other questions:
  • If 1 kilometer is 0.621 miles, how many miles will a person run during a 10 kilomefer race ?
    11·2 answers
  • How long does it take a cor travelling at 60 mph. to cover 5 miles?​
    6·1 answer
  • In a fruit cocktail, for every 15 ml of orange juice you need 25 ml of apple juice and 10 ml of coconut milk. What proportion of
    12·2 answers
  • Factorize (3r^2-9r)(r+3)
    6·1 answer
  • If y varies directly with x, and x=21 and y=14, what is the equation that represents this variation?
    9·1 answer
  • Jessika's drama class is performing a play. She wants to buy as many tickets as she can afford. If tickets cost $3.25 each and s
    8·1 answer
  • Can u guys explain how to get the answer plzzz I need help with 32
    15·1 answer
  • A telemarketer earns $150 each week plus $2 for each call that results in a sale.
    11·1 answer
  • GIVING BRAINLIEST FOR BEST ANSWER!
    12·2 answers
  • Giving brainlist for correct answer. :))
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!