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
elixir [45]
3 years ago
6

What are the solutions of the equation (x + 2)2 + 12(x + 2) - 14 = 0? Use u substitution and the quadratic formula to solve.

Mathematics
2 answers:
baherus [9]3 years ago
8 0

Answer: A) x=-8±5\sqrt{2}

Step-by-step explanation: to find the solutions of the given equation, we need to use the substitution u=x+2, so the equation would now be:

u^{2} +12u-14=0

the quadratic formula is:

u=(-b±\sqrt{b^{2}-4ac })/2a

in this case a=1;  b=12;  and c=-14

so replacing the values it remains:

u=(-12±\sqrt{12^{2}-4*1*(-14) })/2*1

u=(-12±\sqrt{144+56})/2

u=(-12±\sqrt{200})/2              

we can write 200 as 100*2 and the square root of 100 is 10:

u=(-12±10\sqrt{2})/2

u=-6±5\sqrt{2}

and finally:

x=u-2

x=-6±5\sqrt{2}-2

x=-8±5\sqrt{2}

Y_Kistochka [10]3 years ago
6 0

X^2+4x+4+12x+24-14=0

x^2+16x+14=0

x= -16 ± √(16)^2-4(1)(14) /2(1)

=-16± √200   /2

-16 ± 2√50    /2

-16 ± 10√2   /2

-8 ± 5√2  

You might be interested in
If 4x-3=7 then 4x=10
Zina [86]
4x=10
Divide ten by four and the answer will be equal to x.
8 0
3 years ago
Sarah's surfboards charges a fee of $60 to rent a surfboard and then $10.50 per hour. Sally's surfboards does not charge a fee,
Zanzabum

Answer:

12 hours

Step-by-step explanation:

Let the number of hours be represented as h.

Sarah's surfboards charges a fee of $60 to rent a surfboard and then $10.50 per hour.

Mathematically ,

60 + 10.50h

Sally's surfboards does not charge a fee, but they cost $15.50 per hour

Mathematically,

15.50h

Equating both equations together

60 + 10.50h = 15.50 h

Collect like terms

60 = 15.50h - 10.50h

60 = 5h

h = 60/5

h = 12 hours

Therefore, the number of hours that the cost will be the same to rent a surfboard for each shop is 12 hours.

7 0
3 years ago
9. Mohammed copied this problem into his notebook.
Mkey [24]

Answer:

Its B

Step-by-step explanation:

8 0
3 years ago
Solve for the variable in the following inequality<br><br> 18 ≥ 6x
baherus [9]

Answer:

3 <u>> </u>x

Step-by-step explanation:

(Sorry if im wrong)

Divide both sides by 6

18/6 <u>></u> 6x/6

3 <u>></u> x

6 0
3 years ago
13. Suppose the probability of passing a driving test is 65%. (a) On a certain afternoon 15 people are tested. (i) What is the e
Alex_Xolod [135]

Answer: 9

Step-by-step explanation:

Based on the information given in the question, the expected number of people who pass will be calculated as:

= Probability of passing the driving test × Number of people tested

= 65% × 15

= 0.65 × 15

= 9.75

Therefore, expected number of people who pass is 9.

8 0
3 years ago
Other questions:
  • Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.<br><br> 16x0 + 2x2 • y –1
    10·1 answer
  • 5x - 7y=28<br> -*+ 7y=0<br> A) (7,1) B) (-6,5)<br> c) (7,5) D) (7,-1)
    10·1 answer
  • Find the distance between the points: (-3, -4) and (5, 5)
    9·1 answer
  • I need help finding the x
    5·1 answer
  • A bank account balance, b, for an account starting with s dollars, earning an annual interest rate,
    10·1 answer
  • Cual es la circunferencia un circulo cuyo diámetro mide 8cm
    9·1 answer
  • Two parcels of land priced at $1,200 per acre were purchased. one parcel was 15 acres in size and the other was 1 mile square in
    10·1 answer
  • Which letters shown below on the number line also have their opposites labeled
    9·1 answer
  • Whats x^2=1? I dunno it
    7·2 answers
  • First answer = brainliest
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!