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
tino4ka555 [31]
3 years ago
11

What is the solution set for 12=2(3x - 7)^2 +4

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0
12=2(3x-7)^2+4 \ \ \ |-4 \\
8=2(3x-7)^2 \ \ \ |\div 2 \\
4=(3x-7)^2 \\
\sqrt{4}=\sqrt{(3x-7)^2} \\
2=|3x-7| \\
3x-7=2 \ \lor \ 3x-7=-2 \\
3x=2+7 \ \lor \ 3x=-2+7 \\
3x=9 \ \lor \ 3x=5 \\
x=\frac{9}{3} \ \lor \ x=\frac{5}{3} \\
x=3 \lor \ x=1 \frac{2}{3} \\
\boxed{x \in \{1 \frac{2}{3}, 3 \} }
You might be interested in
Angle T had a measure between 0 and 360 and is coterminal with -170 angle. What is the measure of angle T?
Alika [10]

Answer: The answer is 190°.


Step-by-step explanation: We are to find the measure of ∠T which lies between 0° and 360° and is co-terminal with an angle of measure -170°.

We know that two angles are said to be co-terminal if one is obtained from the other by either adding or subtracting 360°.

So, angles which are co-terminal with -170° are

-170° + 360° = 190°,  -170° - 360° = 530°, etc.

Since 190° lies between 0° and 360°, so measure of ∠T is 190°.

Thus, the answer is 190°.


5 0
3 years ago
Dennis sister charges 550 per hour before 9 p.m. for babysitting and $8 per hour after 9 p.m. she finished babysitting at 11 p.m
LiRa [457]
Since we know what time Dennis' sister finished babysitting, we can calculate how much money she's made since 9p.m. Between 9 and 11 is 2 hours, so we know she made $16 ($8 per hour x 2 hours).

That means she made $22 before 9p.m. ($32 total - $16 made past 9p.m.)

So, you just need to figure out how many hours $22 is worth and subtract that number of hours from 9p.m. That will get you to the starting point of babysitting.

$22 / $5.50 = 4     so we know that $22 is 4 hours' worth of babysitting.

9p.m. - 4 hours is 5p.m., so we know that Dennis' sister started babysitting at 5p.m. 

Hope this helps! If you liked this answer please rate it as brainliest!! Thank you!!!

3 0
3 years ago
Fred runs 4 laps around a track in 6 minutes. How many minutes per lap is that? How many laps per minute?
denis-greek [22]

Answer:

0.67 Laps per minute

Step-by-step explanation:

4 Laps over 6 Minutes

4/6 = 0.67

8 0
3 years ago
Solve for q. q=63-[(q+3) +(q-6)]
Tasya [4]
Solve the equation in the bracket first.
(q+q+3-6)=(2q-3)
so,
q=63-(2q-3)
expand it out,
q=63-2q+3
q=66-2q
then bring over the -2q to get +2q
q+2q=66
3q=66
then simplify
q=22
6 0
3 years ago
Read 2 more answers
Abigail has 16 apples she eats 2 apples per day.let y be the apples remaining as a function of the number of week,x
Greeley [361]

Answer:

Let X be the number of weeks.

2x - 16 = 14

   we add 16 on both sides.

2x = 30

now we divide 2 on both sides to get rid of the 2 to the x, we want to get x on its own.

X = 15

3 0
4 years ago
Other questions:
  • Colin maxed out his credit card at $4,000
    14·2 answers
  • What is the value of x when x 6 = 198?
    8·2 answers
  • A carton contains soup cans weighing a total of 20 pounds. Each can weighs 1 1/4 pounds. How many cans does the carton contain?
    7·2 answers
  • Needing of help about this
    15·1 answer
  • What is 62394 rounded to the nearest ten
    14·1 answer
  • Factor the polynomial by its greatest common monomial factor.
    15·1 answer
  • The sum of ten and the quotient of a number 2 and 6.
    8·1 answer
  • What is the measure of angle ABD in trapezoid ABCD?<br><br> 24°<br> 40°<br> 64°<br> 92°
    13·1 answer
  • Look at picture for answer will mark BRAINILEST
    13·1 answer
  • 72/3<br> show your work pls
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!