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
chubhunter [2.5K]
2 years ago
5

Use the graph that shows the solution to F(x) = G(x)

Mathematics
2 answers:
Alisiya [41]2 years ago
6 0

Answer: B. 0 and D. 3

Step-by-step explanation:

Here the given function is,

f(x) = \frac{7}{3}x-3

g(x) = 2^x-4

For finding the solution of this system of equation,

First we will plot the function on the graph,

Graph of function f(x),

x-intercept and y-intercept are (1.286,0) and (0,-3) respectively,

Also, it is a straight line,

Hence, we can plot this line on the graph,

Graph of function g(x),

Function g(x) is an exponential function having x-intercept and y -intercept, (2,0) and (0,-3) respectively.

Also, the end behavior is,

As x\rightarrow \infty , f(x)\rightarrow \infty

As  x\rightarrow -\infty , f(x)\rightarrow -4

Hence, we can plot the graph of g(x),

By plotting the graph,

We found that the intersection of the function f(x) and g(x) are (0,-3) and (3,4).

Hence, the solution of the system is the x-coordinates of the intersection points that are 0 or 3.

⇒ Option B and C is the correct options.

 

Nastasia [14]2 years ago
3 0

Answer:

Option (b) and (d)  is correct.

The solution where f (x) = g(x)  is when x = 0 and x = 3

Step-by-step explanation:

Given : functions F(x) = \frac{7}{3}x-3 and G(x) =2^x-4

We have to find the solution where f (x) = g(x)

Consider the given function  F(x) = \frac{7}{3}x-3 and G(x) =2^x-4

The solution where f (x) = g(x)  is the point where both graph intersect at y- axis.

Then it is seen clearly from graph of both the functions intersect at point (0, -3) and (3,4)

When x = 0 both f(0) and g(0) = -3

When x = 3 both f(3) and g(3) = 4

Thus, the  solution where f (x) = g(x)  is when x= 0 and x= 3

Thus, Option (b) and (d) is correct.

You might be interested in
Plz help ibzcbiscibscibaciv​
lisov135 [29]

Answer:The answer is 2 if you use a calculator.

Step-by-step explanation:

5 0
2 years ago
I need some help with this<br><br>​
dalvyx [7]

\pink{\underline{{\boxed{\bf{QUESTION: }}}}}

-6(x+4) = _____

\pink{\underline{{\boxed{\bf{OPTIONS:}}}}}

  • 6x - 4❌
  • -6x + 4❌
  • -6x - 24✔️
  • 6x + 24❌

\pink{\underline{{\boxed{\bf{ ANSWER: }}}}}

-6(x+4) = <u>-6x - 24</u>

<h3>Hope It's helped! :)</h3>
4 0
2 years ago
The first two terms of an exponential sequence are 18 and 6. What are the next three terms?
sweet [91]

Answer:

The next three terms are 54, 162, 486

Step-by-step explanation:

Exponential sequences you multiply to find the next term

6 x 3 = 18 (to find the next term you can multiply the previous term by 3)

18 x 3 = 54

54 x 3 = 162

162 x 3 = 486

7 0
2 years ago
PLS HELP 20 POINTS!
sashaice [31]
Answer: f> 24s+250
Hope it’s right!!! Have a great day :))

6 0
8 months ago
Hi, I really need help with my homework please help
8090 [49]
Number one is 68 you have to divide on this download photomath its better because all you have to do is take a picture and it shows you how to do it ;)
5 0
3 years ago
Read 2 more answers
Other questions:
  • Nine fewer than half a number is five more than four times the number. Define a variable, write an equation, solve the number.
    5·1 answer
  • 100000000 plus 1111111111
    8·2 answers
  • Please help.....................................................................................................................
    11·2 answers
  • Which ratio is greater than StartFraction 11 Over 16 EndFraction?<br> 22:32<br> 3:8<br> 1:2<br> 3:4
    9·2 answers
  • What 2divided by one third is​
    9·2 answers
  • 3(2x-4)-2(5x-2)=-20 what is the value of x
    14·1 answer
  • What is the slope of a line that passes through the points (-9,2) and (0,4)
    6·2 answers
  • Pls help extra points
    13·2 answers
  • What is the range of the function f(x) = |x – 3| + 4?
    11·1 answer
  • Is this or is this not a function?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!