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
Fofino [41]
3 years ago
9

99PTS!!!!!!!

Mathematics
2 answers:
bezimeni [28]3 years ago
6 0

Answer:

Option A.

Step-by-step explanation:

The given function is

h(x)=3^x-2        ... (1)

It is an exponential function.

The graph of second exponential function passes through the points (0,4) and (1,5), and it shifted 3 units up.

g(x)=a(b)^x+3

Substitute x=0 and g(x)=4 in the above function.

4=a(b)^0+3\Rightarrow a=1

Substitute a=1, x=1 and g(x)=5 in the above function.

5=1(b)^1+3\Rightarrow b=2

The second function is

g(x)=2^x+3             .... (2)

At x=0,

h(0)=3^(0)-2=-1

g(0)=2^(0)+3=4

So, at initial stage g(x)>h(x).

On solving (1) and (2) we get

x=2,g(x)=h(x)=7

It means at x=2 the function h(x) is equal to g(x) and after that h(x)>g(x).

g(x) ≥ h(x) on the interval –2 ≤ x ≤ 2

Therefore, the correct option is A.

Ostrovityanka [42]3 years ago
5 0

h(x) = 3^x – 2 will be negative  when x is less than 0

h(2) =7

g(2)=7

This is the point they are equal

g(x)> h(x) until2

g(x)>=h(x) -2<=x<=2

Choice A

You might be interested in
Which is the BEST estimate for the value of x?
Lapatulllka [165]
To solve this, I would square root all of the possible answers and see which ones the arrow falls between. After that I would choose the answer closest to it.

Hope this helps!
5 0
2 years ago
For every 15 minutes of a show, there are two minutes to commercial. At this rate, if leila has seen 45 minutes of a show, how m
Ainat [17]

Answer:

51 minutes.

Step-by-step explanation:

We have been given that for every 15 minutes of a show, there are two minutes to commercial. At this rate, Leila has seen 45 minutes of a show. We are asked to find the time for which Leila has been watching TV.

We will use proportions to solve our given problem.

\frac{\text{Minutes of TV show + Advertisement}}{\text{Minutes of TV show}}=\frac{15+2}{15}

\frac{\text{Minutes of TV show + Advertisement}}{\text{Minutes of TV show}}=\frac{17}{15}  

Upon substituting our given values, we will get:

\frac{\text{Minutes of TV show + Advertisement}}{45}=\frac{17}{15}

\frac{\text{Minutes of TV show + Advertisement}}{45}\times 45=\frac{17}{15}\times 45

\text{Minutes of TV show + Advertisement}=\frac{17}{1}\times 3

\text{Minutes of TV show + Advertisement}=51

Therefore, Leila has been watching TV together for 51 minutes.

8 0
3 years ago
A line passes through the point (-2, 3) and has a slope of -2. What is the equation of the line?
Mrrafil [7]

Answer:

y = -2x -1

Step-by-step explanation:

slope intercept form is y = mx +b

m = slope, b = y intercept

point is given as ordered pair (x,y)

plug in slope into y=......

y= -2x+b

plug in the point

3 = -2 * (-2) + b

3= 4 +b subtract 4 on each side

b = -1

y = -2x -1

8 0
2 years ago
13/10 rewrite as decimal​
Firlakuza [10]

\frac{13}{10}

1.3

5 0
2 years ago
Read 2 more answers
Carissa earns $450 per week for a 40 hour work week plus $16.83 per hour for each hour of overtime after 40 hours. Write an equa
gavmur [86]

Answer:

W = 450 + 16.83V

Step-by-step explanation:

For 40 hours Carissa

earning = $450

earning for 1 hour of over time = $16.83

multiplying both side by V

earning for v hour of over time = $16.83*V = $16.83V

weekly wage(W) = earning for 40 hours + earning for V hour of over time

W = 450 + 16.83V

Thus equation will be as given below for weekly earning

8 0
3 years ago
Other questions:
  • Whats 7589 divided by 4 to the 9th power and then multiply the answer and add 5 to that answer
    7·1 answer
  • The average tempture for -7 , 2 , -9 , -4 ,and -7
    9·2 answers
  • Complete the square to rewrite y = x2 + 6x + 3 in vertex form. Then state whether the vertex is a maximum or a minimum and give
    11·2 answers
  • A train travels 240 miles at a speed of 80 miles per hour. on the way back the train slows to 40 miles per hour. what is the ove
    12·1 answer
  • 0,2 <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D" id="TexFormula1" title="\frac{dy}{dt}" alt="\frac{dy}{dt}" align=
    9·1 answer
  • Which of the following human activities most likely resulted in the
    9·2 answers
  • Y=x-2 help my brain isn't working um I have to make this 20 character long, pls help​
    6·1 answer
  • Find the equation of the line
    9·2 answers
  • У<br> (x, y) (?x, ?y)<br> A'<br> 3-4-3-2-10<br> 1<br> 2<br> B<br> C<br> B<br> с
    11·1 answer
  • Determine whether x=3, x=4, or x=5 is the solution. 20x=4
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!