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
irina1246 [14]
2 years ago
8

Determine the solution to the system of equations graphed below and explain

Mathematics
1 answer:
lawyer [7]2 years ago
7 0

If x - 4 ≥ 0, then |x - 4| = x - 4, so

G(x) = F(x)   ⇒   3x + 2 = (x - 4) + 2

⇒   3x + 2 = x - 2

⇒   2x = -4

⇒   x = -2

Otherwise, if x - 4 < 0, then |x - 4| = -(x - 4), so

G(x) = F(x)   ⇒   3x + 2 = -(x - 4) + 2

⇒   3x + 2 = -x + 6

⇒   4x = 4

⇒   x = 1

However,

• when x = -2, we have

G(-2) = 3(-2) + 2 = -4

F(-2) = |-2 - 4| + 2 = 8

• when x = 1, we have

G(1) = 3(1) + 2 = 5

F(1) = |1 - 4| + 2 = 5

so only x = 1 is a solution to G(x) = F(x).

You might be interested in
What is f(x)=2(3)^x?
HACTEHA [7]

Answer:

This is an exponential function

Step-by-step explanation:

f(x)=2(3)^x is one example of the exponential function.  Since f(0) = 2(1) = 2, the y-intercept is (0, 2).  The x-axis is the horizontal asymptote.  The graph begins in Quadrant II, passes through (0, 2) and continues to increase, faster and faster, in Quadrant I.  Next time, please be more specific about what you'd like to know.

4 0
3 years ago
Please help ASAP thank youu!!
Gennadij [26K]

Answer:

1. (-5)

Step-by-step explanation:

Here you go, glad to help :)

4 0
3 years ago
What is the solution to the equation 3/4y+1/4=1+y , given the replacement set {−4, −3, −2} ?
ivann1987 [24]

Answer:

It's -3 mate

Step-by-step explanation:

I just did the test

8 0
3 years ago
Find the length x.<br> 5<br> X<br> 45<br> PLS THIS IS ERGENT
Annette [7]

Answer:

X = 7.5

Step-by-step explanation:

First, divide 5 by 3 to find the scale factor:

5/3 = 1.667

Now, multiply 4.5 by 1.667 to find x:

x = (4.5)(1.667)

x = 7.5

Therefore, x is equal to 7.5.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

4 0
3 years ago
What is 3.82 as a fraction or mixed number in simplest form?
Lelu [443]

sjuwgenow it sygwvejsuye and wvsbsjisyeg BB usuhsu crim edd

4 0
3 years ago
Read 2 more answers
Other questions:
  • a man originally paid $2500 in property taxes, what will his new tax payment be the saves 12% this year
    12·2 answers
  • Jorge is comparing two data sets. He uses the mean and mean absolute deviation to compare the center and variability of the data
    10·2 answers
  • What is the amplitude, period, and phase shift of f(x) = −2 sin(3x − π) − 1?
    11·1 answer
  • What is the length of cd
    15·1 answer
  • How do I convert a number into a percentage ?
    8·1 answer
  • What is the value of x in x/7 = 35
    10·2 answers
  • Danny's truck has a fuel tank with a capacity of 20 gallons of gas. The truck averages 17 miles per gallon of gas. The function
    12·1 answer
  • Double m, then raise the result to the 9th power
    10·1 answer
  • The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances be
    10·2 answers
  • Select proportional or not proportional to correctly classify the pair of ratios. 1.2/3 and 1.8/4.5
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!