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
ExtremeBDS [4]
3 years ago
10

Determine the solution set of (x - 4)2 = 12.

Mathematics
1 answer:
galben [10]3 years ago
3 0
(x-4)2=12
First, you want to divide both sides by 2 to eliminate the 2 outside of the parenthesis. That leaves you with:
(x-4)=6
Then add four to both sides to eliminate the four inside the parenthesis:
x=10

To check work, substitute ten in for x in the original equation:
(10-4)2=12
(6)2=12
12=12, so this is correct :)
You might be interested in
I need help I struggle with these
polet [3.4K]
Okay so, you have to think so lets say Kayla bought 30 kilograms of chicken nuggets (k), for $20 (p). You would put t=pk. Because if you change (p) and (k) you will get a different (t).
7 0
3 years ago
Tell me about what you know about "Rounding"
user100 [1]
It is finding the closest estimate to number. Rounding is used in everyday calculations and in many different fields of work
4 0
3 years ago
Read 2 more answers
Please hurry. Have to submit this soon.
AlekseyPX
In 1 hour, Antoine travels 1.75 mi by dividing 5.25 by 3. So, after lunch, he hiked 4 hours. 1.75 times 2 is 3.5 mi every hour after lunch. So, 3.5 times 4 is 14 mi. + 5.25 is 19.25 mi., or 19 1/4 miles.
8 0
4 years ago
8 cm
katrin [286]
Your answer would be 6 cm
5 0
3 years ago
Read 2 more answers
Someone help me please!
andriy [413]

Answer:

To solve the first inequality, you need to subtract 6 from both sides of the inequality, to obtain 4n≤12. This can then be cancelled down to n≤3 by dividing both sides by 4. To solve the second inequality, we first need to eliminate the fraction by multiplying both sides of the inequality by the denominator, obtaining 5n>n^2+4. Since this inequality involves a quadratic expression, we need to convert it into the form of an^2+bn+c<0 before attempting to solve it. In this case, we subtract 5n from both sides of the inequality to obtain n^2-5n+4<0. The next step is to factorise this inequality. To factorise we must find two numbers that can be added to obtain -5 and that can be multiplied to obtain 4. Quick mental mathematics will tell you that these two numbers are -4 and -1 (for inequalities that are more difficult to factorise mentally, you can just use the quadratic equation that can be found in your data booklet) so we can write the inequality as (n-4)(n-1)<0. For inequalities where the co-efficient of n^2 is positive and the the inequality is <0, the range of n must be between the two values of n whereby the factorised expresion equals zero, which are n=1 and n=4. Therefore, the solution is 1<n<4 and we can check this by substituting in n=3, which satisfies the inequality since (3-4)(3-1)=-2<0. Since n is an integer, the expressions n≤3 and n<4 are the same. Therefore, we can write the final answer as either 1<n<4, or n>1 and n≤3.

5 0
3 years ago
Other questions:
  • A researcher is estimating the mean income of residents in a large city. The income variable is usually skewed to the right. She
    12·1 answer
  • A rectangular athletic field is three times as long as it is wide. If the perimeter of the athletic field is 128 yards, what are
    9·1 answer
  • Cos 4A - cos 4B = 8(cos A - cos B) (cos A +cos B) (cos A - sin B) (cos A + sin B)
    10·1 answer
  • Five runners ran a marathon before they used a new training program. The same five runners also ran a marathon after they went t
    13·1 answer
  • What are the zeros of the polynomial function f(x)=x^2-x-20
    6·1 answer
  • Match each quadratic equation with the best way to solve it.
    9·1 answer
  • What is the slope of (-3,4) and (5,8)
    5·1 answer
  • Translate: 18 less then a number c
    11·1 answer
  • The La Brea Tar Pits are _______.
    8·2 answers
  • PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ. <br> 30 POINTS AND BRANILEST
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!