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
One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below
inna [77]
The probability is 56/100, or 14/25 = 0.56.

These events are not mutually exclusive, meaning they can happen at the same time.  This means we use

P(A or B) = P(A) + P(B) - P(A and B)

P(carpool or full time) = P(carpool) + P(full time) - P(carpool & full time)

There are 6+9=15 people out of 100 that carpool.
There are 7+4+30+6=47 people out of 100 that work full time.
There are 6 people out of 100 that carpool and work full time.

This gives us
15/100 + 47/100 - 6/100 = 56/100
5 0
3 years ago
Find the mAC . Remember, the total arc sum of a circle is 360 degree.
umka21 [38]

Answer:

120°

Step-by-step explanation:

6 0
2 years ago
Marine scientists categorize signature whistles of bottlenose dolphins by typelong dash—type ​a, type​ b, type​ c, etc. In one s
r-ruslan [8.4K]

Answer:

The 95​% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 185, \pi = \frac{100}{185} = 0.5405

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5405 - 1.96\sqrt{\frac{0.5405*0.4595}{185}} = 0.4687

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5405 + 1.96\sqrt{\frac{0.5405*0.4595}{185}} = 0.6123

The 95​% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).

3 0
3 years ago
Evaluate x² + 4x + 1 when x = -3
Masteriza [31]
Substitute -3 to x

(-3)^2 + 4(-3) + 1

9 - 12 + 1

= -2
3 0
2 years ago
Read 2 more answers
-4.64/(-0.725) how to solve
rusak2 [61]
6.4 is the answer hope this helps
5 0
3 years ago
Read 2 more answers
Other questions:
  • ??????????????????????????????
    9·1 answer
  • 0.561 rounded to the nearest hundredth is what
    15·2 answers
  • ASAP PLZ HELP 1 EASY QUESTION HELP :/
    12·1 answer
  • Does anybody know this I need them all answered thank you so much
    6·2 answers
  • What is the prime factorization for 435
    13·2 answers
  • Find three consecutive integers such that 4 times the least integer is 8 times two less the greatest integer.
    14·1 answer
  • PLS HELP
    6·1 answer
  • Find the value of Y for the function below when the value of X is 14. Y= 3 Xsquared + 17
    10·1 answer
  • Match each solids with their formula
    14·2 answers
  • Express in simplest radical form.<br> V100
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!