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
nikitadnepr [17]
3 years ago
15

Solve the equation 2x2 + 2x + 12 = 3x2 – x + 2. A. x = 2, x = –5 B. x = 2, x = 5 C. x = –5, x = –2 D. x = –2, x = 5

Mathematics
1 answer:
Lena [83]3 years ago
3 0

2x2−2x−12=0

Use the quadratic formula to find the solutions.

−b±√b2−4(ac)2a

Substitute the values a=2

, b=−2, and c=−12 into the quadratic formula and solve for x

.

2±√(−2)2−4⋅(2⋅−12)2⋅2

Simplify.

Tap for more steps...

x=1±52

The final answer is the combination of both solutions.

x=3,−2

You might be interested in
U and V are mutually exclusive events. P(U) = 0.27; P(V) = 0.56. Find:
Alisiya [41]

Answer:

(a) P (U and V) = 0.

(b) P (U|V) = 0.

(c) P (U or V) = 0.83.

Step-by-step explanation:

Mutually exclusive events are those events that cannot occur at the same time. That is, if events A and B are mutually exclusive then,

                                         P (A\cap B) = 0

<u>Given</u>:

Events U and V are mutually exclusive.

P (U) = 0.27 and P (V) = 0.56

(a)

As events U and V are mutually exclusive, the probability of their intersection will be 0.

That is,

P(U\ and\ V) = P (U\cap V) = 0

Thus, the value of P (U and V) is 0.

(b)

The conditional probability of event B given A is:

P(B|A) =\frac{P(A\cap B)}{P(B)}

Compute the value of P (U|V) as follows:

P(U|V) =\frac{P(U\cap V)}{P(V)}\\=\frac{0}{0.56}\\ =0

Thus, the value of P (U|V) is 0.

(c)

The probability of the union of two events, say A and B, is

P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)

Compute the value of P (U or V) as follows:

P(U\ or\ V)=P(U\cup V)\\=P(U)+P(V)-P(U\cap V)\\=0.27+0.56-0\\=0.83

Thus, the value of P (U or V) is 0.83.

7 0
3 years ago
Read 2 more answers
Classify the following triangle. check. check all that apply
8_murik_8 [283]

Answer:

a obtuse it's more than a 90 degree angle and scalene

4 0
3 years ago
Read 2 more answers
42 = -7 ( Z - 3 )<br> Z =?
ipn [44]

Answer:

-3

Step-by-step explanation:

6 0
3 years ago
A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to
ad-work [718]
The answer to this problem is y= 1/10x + 60, the y-intercept of the function is $60, and the range is {y| y (less than or equal to) 60}
5 0
3 years ago
Read 2 more answers
Jovani wanted to switch gyms. Fitness 19 charges a one time $39 cleaning fee and $17 per
Alexxx [7]

Answer:

Hi there!

Your answer is:

It will take 2.2 months for both gyms to be the same amount of money!

Step-by-step explanation:

Fitness 19:

39+ 17x

Anytime Fitness:

50+ 12x

Put them equal to each other:

39+17x = 50+12x

-12x

39+5x = 50

-39

5x = 11

/5

x= 2.2 months

39+17(2.2)= 76.4$

50+12(2.2)= 76.4$

Hope this helps!

8 0
3 years ago
Read 2 more answers
Other questions:
  • A hospital needs to dilute a 50% boric acid solution to a 10% solution. If it needs 25 liters of the 10% solution, how much of t
    15·2 answers
  • Solve this problem out
    13·1 answer
  • A fish and game warden captures and tags 66 deer in a local forest. A month later he captures 1oo deer and finds that 17 of them
    11·1 answer
  • 9 5/12 - 4 2/3 All i need is the Answer
    13·2 answers
  • Calculate the distance between (5, 3) and (-1, 6). Round your answer to the nearest tenth if necessary. (One place after the dec
    9·1 answer
  • Factorise this expression as fully as you can 12x^3-9x^2
    15·1 answer
  • How much more intrest is owed on 900 dollars for 9 months than 6 months
    12·1 answer
  • Determine another point on the line given two points on the line. (-2, 9), (2, -1)
    6·1 answer
  • Which of the following are necessary when proving that the diagonals of a
    8·1 answer
  • Michael has a points card for a movie theater.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!