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
In-s [12.5K]
2 years ago
8

Evaluate when f(-3) and f(7)

Mathematics
1 answer:
pogonyaev2 years ago
3 0

Answers:

  • f(-3) = -6
  • f(7) = 20

======================================================

Explanation:

The piecewise function f(x) changes based on what the input is.

We have two cases:

  • Case A) if x > 4, then f(x) = 3x-1
  • Case B) If x \le 4, then f(x) = 2x

The input x = -3 satisfies the inequality x \le 4, so we go with case B for this input

f(x) = 2x

f(-3) = 2(-3)

f(-3) = -6

In contrast, the input x = 7 satisfies the inequality x > 4. So we go for case A this time.

f(x) = 3x-1

f(7) = 3(7)-1

f(7) = 21-1

f(7) = 20

----------------------

Side note: It might be better to let g(x) = 3x-1 and h(x) = 2x. Then we could further say "If x > 4, then f(x) = g(x) OR if x \le 4, then f(x) = h(x)". Though this might be a more wordy definition.

You might be interested in
A sleep time of 15.9 hours per day for a newborn baby is at the 10h percentile of the distribution of sleep times for all newbor
Step2247 [10]

The mean time in hours per day for newborn babies is 16.5 hours ⇒ D

Step-by-step explanation:

A sleep time of 15.9 hours per day for a newborn baby is at the 10th

percentile of the distribution of sleep times for all newborn babies

Assuming the distribution is normal with a standard deviation of

0.5 hour

To find the mean time let us do that

1. Use the normal distribution table to find the corresponding z-score

   for 10th percentile

2. Use the rule μ = x - zσ, where μ is the mean, σ is the standard

    deviation and x is the score

3. Substitute the values of x, σ and z in the rule to find μ

Look to the normal distribution table to find z-score that equivalent

to the area = 10/100 = 0.1 (10th percentile)

∵ z-score = -1.28

∵ σ = 0.5 hour

∵ x = 15.9

∵ μ = x - zσ

- Substitute the values in the rule

∴ μ = 15.9 - (-1.28)(0.5)

∴ μ = 15.9 + 0.64

∴ μ = 16.54 ≅ 16.5 hours

The mean time in hours per day for newborn babies is 16.5 hours

Learn more:

You can learn more about the normal distribution curve in brainly.com/question/8799684

#LearnwithBrainly

6 0
2 years ago
Evaluate (c − b)2 + a2  for a = –5, b = –2, and c = –4.
frosja888 [35]

Answer:

29

Step-by-step explanation:

(c − b)^2 + a^2

Let a = –5, b = –2, and c = –4.

(-4--2)^2 + (-5)^2

(-4+2)^2 + (-5)^2

(-2)^2+ (-5)^2

4 +25

29

7 0
2 years ago
What is the area of triangle abc? Pls explain thoroughly.
Andru [333]

Answer:

0.25 ( I guess)

Step-by-step explanation:

use 1/2 (b*h) formula

8 0
3 years ago
Help me please i didn’t pay attention in class i just fell asleep :D
Ghella [55]
3,000 feet i think since the formula is width *height *length so it should be correct.
3 0
3 years ago
In a class, every student knows French or German (or both). 15 students know French, and 17 students know German.
vazorg [7]
If you apply the or both
Only 1 of the students would need to know the "or both", therefore maximizing the remaining amount of students you can put in.

Gerald, let's call him, knows French AND German, so there's only one less student that knows french and german. Gerald is 1 student.

MAXIMUM:
There are now 14 monolinguistic French speakers and 16 monolinguistic German's, 30 students + Gerald=31.

Minimum:
As a bonus, the minimum is 15 students knowing french AND German and only 2 monolinguistic German speakers, so 17.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the arc length of the partial circle.
    5·1 answer
  • Y=x​2​​−6x+10​<br> y=4−x​​<br><br><br> How do I substitute?
    12·1 answer
  • Find three consecutive odd integers such that the sum of the smallest and 7 times the largest is 68
    8·2 answers
  • You found an apartment you really
    11·1 answer
  • HELP ASAP!!! WILL MARK BRAINLIEST!!!
    11·2 answers
  • What are the coordinates of the point 3/4 of the way from<br> A(-6, -3) to B(10, 9)?
    15·1 answer
  • Describe the points with a double inequality. I need the answer quick. Thanks!
    5·1 answer
  • Which is the solution to the equation 2.6 a + 18.4 = 28.8? Round to the nearest tenth if necessary.
    5·2 answers
  • Helppp meeee plzzz thanks
    5·1 answer
  • 1. You are going to a ball game where sodas cost $7 and hot dogs cost $9. You spend a total
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!