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
Agata [3.3K]
2 years ago
7

Write -3x^2-18-31 in vertex form.

Mathematics
1 answer:
chubhunter [2.5K]2 years ago
4 0
Get into form a(x-h)²+k

complete the square

-3x²-18x-31
group x terms
(-3x²-18x)-31
undistribute the -3
-3(x²+6x)-31
take 1/2 of the linear coefient (6) and squaer it
6/2=3, 3²=9
add positive and negative of it inside parenthasees
-3(x²+6x+9-9)-31
complete the square
-3((x+3)²-9)-31
expand
-3(x+3)²+27-31
-3(x+3)²-4 is vertex form
You might be interested in
The sum of two consecutive cube numbers is 341. Work out the two numbers. (2 marks)
Kobotan [32]

Answer:

63 and 53

Step-by-step explanation:

you could use trail and error. So:

13+23=9

33+43=91

63+73=559

53+63=341

3 0
3 years ago
I need help please <br>​
Triss [41]
She paid $3.28 per gallon.

24.60 divided by 7.5 equals 3.28.
8 0
2 years ago
I’m the parallelogram above, what is the value of x+y <br><br> Help please
olga2289 [7]

Answer:

248°

Step-by-step explanation:

y = 180°- 56°

  = 124°

x = 124° because opposite angles of a parallelogram are equal

x + y = 124° + 124°

        = 248°

6 0
2 years ago
Read 2 more answers
Abby, Bernardo, Carl, and Debra play a game in which each of them starts with four coins. The game consists of four rounds. In e
Sedaia [141]

The probability that, at the tip of the fourth round, each of the players has four coins is 5/192.

Given that game consists of 4 rounds and every round, four balls are placed in an urn one green, one red, and two white.

It amounts to filling in an exceedingly 4×4 matrix. Columns C₁-C₄ are random draws each round; row of every player.

Also, let \%R_{A} be the quantity of nonzero elements in R_{A}.

Let C_{1}=\left(\begin{array}{l}1\\ -1\\ 0\\ 0\end{array}\right).

Parity demands that \%R_{A} and\%R_{B} must equal 2 or 4.

Case 1: \%R_{A}=4 and \%R_B=4. There are \left(\begin{array}{l}3\\ 2\end{array}\right)=3 ways to put 2-1's in R_A, so there are 3 ways.

Case 2: \%R_{A}=2 and \%R_B=4. There are 3 ways to position the -1 in R_A, 2 ways to put the remaining -1 in R_B (just don't put it under the -1 on top of it!), and a pair of ways for one among the opposite two players to draw the green ball. (We know it's green because Bernardo drew the red one.) we are able to just double to hide the case of \%R_{A}=4,\%R_{B}=2 for a complete of 24 ways.

Case 3: \%R_A=\%R_B=2. There are 3 ways to put the -1 in R_{A}. Now, there are two cases on what happens next.

  • The 1 in R_B goes directly under the -1 inR_A. There's obviously 1 way for that to happen. Then, there are 2 ways to permute the 2 pairs of 1,-1 in R_C andR_D. (Either the 1 comes first inR_C or the 1 comes first in R_D.)
  • The 1 in R_B doesn't go directly under the -1 in R_A. There are 2 ways to put the 1, and a couple of ways to try and do the identical permutation as within the above case.

Hence, there are 3(2+2×2)=18 ways for this case. There's a grand total of 45 ways for this to happen, together with 12³ total cases. The probability we're soliciting for is thus 45/(12³)=5/192

Hence, at the top of the fourth round, each of the players has four coins probability is 5/192.

Learn more about probability and combination is brainly.com/question/3435109

#SPJ4

3 0
2 years ago
Read 2 more answers
Which axiom is used to prove that the product of two rational numbers is rational
aliina [53]

Answer:

First, a rational number is defined as the quotient between two integer numbers, such that:

N = a/b

where a and b are integers.

Now, the axiom that we need to use is:

"The integers are closed under the multiplication".

this says that if we have two integers, x and y, their product is also an integer:

if x, y ∈ Z ⇒ x*y ∈ Z

So, if now we have two rational numbers:

a/b and c/d

where a, b, c, and d ∈ Z

then the product of those two can be written as:

(a/b)*(c/d) = (a*c)/(b*d)

And by the previous axiom, we know that a*c is an integer and b*d is also an integer, then:

(a*c)/(b*d)

is the quotient between two integers, then this is a rational number.

5 0
3 years ago
Other questions:
  • Graph.<br><br> F(x) = |2x-6| + 3
    14·1 answer
  • HELP PLS! WILL MARK BRAINLIEST!!!!! 50 POINTS!!!!
    7·1 answer
  • Consider the relationship between the number of bids an item on eBay received and the item's selling price. The following is a s
    6·1 answer
  • There were 600 soldiers in the battle the ratio of Texas soldiers to Mexican soldiers were 73 how many more Texan soldiers were
    7·2 answers
  • I don’t understand can u please get help
    15·1 answer
  • On a 16 scale drawing of a bike, one part is 3 inches long. How long will the actual bike part be?
    12·2 answers
  • Suppose that the IQs of university​ A's students can be described by a normal model with mean 140 and standard deviation 8 poi
    14·1 answer
  • Please help I’m desperate for the answer
    6·1 answer
  • Write an equation in point slope form that passes through (-14, - 6) and the<br> slope is 2/3
    6·1 answer
  • Anthony decided to buy two DVDs that were not included in the deal. His price before tax was $19.99. What was the cost of the tw
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!