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
Olenka [21]
2 years ago
12

Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?

Mathematics
2 answers:
jeka57 [31]2 years ago
5 0

<em>Answer:</em>

<em>2 whole 1/4</em>

<em>Step-by-step explanation:</em>

<em>When forming a perfect square trinomial you need to "complete the square". </em>

<em>All of the steps to completing the square when solving an equation: </em>

<em>1.  The leading coefficient must be 1.  </em>

<em>2.  Divide b by 2. </em>

<em>3.  Square (b/2) </em>

<em>4.  Add (b/2)^2 to both sides to keep the polynomial balanced. </em>

<em>5.  You can now write the perfect square trinomial and solve. </em>

<em><u> </u></em>

x^2 - 3x  

-3/2

(-3/2)^2 = 9/4 = 2 1/4

hjlf2 years ago
5 0

Answer:

The answer is 2 1/4

Step-by-step explanation:

You are welcome.

You might be interested in
Need answer ASAP this assignment is due tomorrow
dmitriy555 [2]

Answer:

Venn diagrams, De'moivres rule and probability

Step-by-step explanation:

4 0
3 years ago
What is the complete factorization of -x^2+3x+28
patriot [66]

Answer:

I dont know

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLSSS HELP IF YOU TURLY KNOW THISS
grigory [225]
<h2>Answer:</h2>

The answer is x = 2.

<h2>Step-by-step explanation:</h2>

<u><em>* Scroll to the bottom for an explanation in list format</em></u><em> :)</em>

In this problem, our goal is to solve for x in order to identify said variable's value. To do this, we must isolate the variable x on one side, whilst the other side contains solely the value of x. The rules that we will be using for this problem are '<em>Line of Equality</em>' and '<em>PEMDAS</em>.' Line of Equality is a rule that states that what you do to one side of an inequality/equation, you must to do the other as well. PEMDAS is a mathematical acronym used as a tell-tale of sorts for order of operations - often OoO for inequalities such as this one. In PEMDAS, P stands for Parenthesis, E stands for Exponents, M stands for Multiplication, D stands for Division, A stands for Addition, and S stands for Subtraction. You use each letter in order of the spelling, with the exception that you do Multiplication and Division by whichever comes first in the equation; the same goes for Addition and Subtraction. However, when solving this inequality, we won't have to focus on the complications of P, E, or M at all.

The (original) inequality this problem gives us is 14 + 3x = 2 + 9x. Our first step is to choose which side we will isolate x to, leaving the other one to be its value. I would personally recommend isolate whichever x value is greater, but either way works. This time around, I chose to isolate 9x.

Since I've decided to isolate x on the right side (2 + 9x), that means I have to eliminate any other x values on either side of the inequality. The only other x value is 3x. Due to + 3x being adding a positive 3x, we have to counteract it by eliminating it and changing its value to 0. In this case, we can counteract + 3x by subtracting 3x (aka - 3x). Remember, the <em>Line of Equality</em> rule means we have to do the same to either side; if we subtract 3x on one side, we also have to do so on the other. 14 + 3x - 3x = 2 + 9x - 3x. +3x - 3x = 0, or 0x. 9x - 3x = 6x. After combining like terms, the new inequality is 14 = 2 + 6x.

Now, I have to eliminate any numerical values, or regular numbers (which, in this case, would be numbers without a variable attached to them), on the right side, since that is the side I want to isolate x on. The only numerical value on the right side of my inequality is 2. This 2, or + 2, can be counteracted by subtracting 2, or - 2. Our rule causes us to subtract 2 from both sides. 14 - 2 = 2 - 2 + 6x. 14 - 2 = 12. 2 - 2 = 0. After combining like terms, the new inequality is 12 = 6x.

Now, I have to simplify x and make it singular. 1x and x are the same thing, so I must make 6x into x. 6x is the same thing as 6 * x. Therefore, since 6 * x is multiplication, I have to do the opposite to get the desired result. I should divide 6x by 6 to get 6. Due to the <em>Line of Equality</em>, I also have to divide 12 by 6. 12 ÷ 6 = 6x ÷ 6. 12 ÷ 6 = 2. 6x ÷ 6 = x. After combining like terms, the new inequality is 2 = x.

Lastly, mainly for a bonus step, we should flip the places of 2 and x. This is because, similarly to most problems, this question places x on the left side of the inequality. The 2 and x in 2 = x must switch places in order to properly finish this problem. Since this inequality uses an equal sign, the symbol will remain as an = when the inequality is flipped. However, it should be noted that when using symbols such as greater than (>) or less than (<), the sign will flip with the rest of the inequality. = is a symmetrical sign, which is why it will remain the same; it is the same equivalent symbol even when flipped. After we flip the inequality, the new equation becomes x = 2. Therefore, our answer is x = 2.

<h3>For those that want a list format of the procedure for this inequality's solving - here you go: </h3>

* <u>Remember the '</u><u><em>Line of Equality</em></u><u>' Rule: What you do on one side, on the other do the same.</u>

14 + 3x = 2 + 9x

<em>Subtract 3x from both sides.</em>

14 + 3x - 3x = 2 + 9x - 3x

14 = 2 + 6x

<em>Subtract 2 from both sides.</em>

14 - 2 = (+)2 - 2 + 6x

12 = 6x

<em>Divide both sides by 6.</em>

12 ÷ 6 = 6x ÷ 6

2 = x

<em>Flip the inequality. (The sign remains the same since it's the equal sign.)</em>

x = 2

Therefore, our answer is x = 2.

7 0
2 years ago
Write<br> 83<br> 50<br> as a decimal.
Katyanochek1 [597]

Answer:

0.83,0.50

Step-by-step explanation:

Since there are 2 digits in 83, the very last digit is the "100th" decimal place.

So we can just say that .83 is the same as 83/100.

So your final answer is: .83 can be written as the fraction

7 0
2 years ago
Read 2 more answers
An equivalent expression for sin x is?<br><br>(please answer with steps)​
Anestetic [448]

Answer:

b

Step-by-step explanation:

Using the trigonometric identity

sin2x = 2sinxcosx

That is the angle on the right side is half the angle on the left, thus

sinΘ = 2sin(\frac{1}{2} Θ )cos(\frac{1}{2}Θ ) → b

5 0
2 years ago
Other questions:
  • "Majesty Video Production Inc. wants the mean length of its advertisements to be 30 seconds. Assume the distribution of ad lengt
    9·1 answer
  • The same bedroom furniture set costs $1,500 in both Florida and Alabama. The table gives a breakdown of the taxes someone would
    13·1 answer
  • Select all of the following expressions that are equivalent to ab - 2 = c
    14·2 answers
  • What segment is an altitude of triangle ABC?
    7·1 answer
  • Use the quadratic formula to solve 2x^2=5x+6. Leave your answer in radical form. Show all of your work!
    6·1 answer
  • 10 to the power of 5. may someone help me
    5·2 answers
  • Which equation has a graph that goes through the points (4, -6) and (0, 6)?
    5·1 answer
  • Given a+b=7 and a–b=3, find:<br><br> 2^a*2^b
    12·1 answer
  • Here's a problem for the minds-good luck!
    12·1 answer
  • Pls help BRAINLYEST FOR BEST ANSWER YAYA
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!