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olasank [31]
2 years ago
5

Solve the following equation by first writing the equation in the form ax² = c

Mathematics
1 answer:
alexandr1967 [171]2 years ago
3 0

The solution to the given equation is x = ±7. The correct option is d. x = ±7

<h3>Solving quadratic equations </h3>

From the question, we are to determine the solution to the given equation

The given equation is

x²-49 = 0

NOTE: I assumed the variable is x

Solving the equation

x²-49 = 0

Writing in the form ax²= c

x² = 49

∴ x = ±√49

x = ±7

Hence, the solution to the given equation is x = ±7

Learn more on Solving quadratic equations here: brainly.com/question/24334139

#SPJ1

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How many permutations can be made with the letters in the word Metallica
pentagon [3]
<h3>Answer:   90720 </h3>

===============================================

Explanation:

There are 9 letters in "Metallica", so there would be 9! = 9*8*7*6*5*4*3*2*1 = 362880 different permutations; however, this is only the case if we could tell the letters L and A apart.

We have two copies of each of those repeated letters, so we have to divide by 2!*2! = (2*1)*(2*1) = 4 to account for these repeats.

Because we can't tell the repeated letters apart, we really have (9!)/(2!*2!) = (362880)/(4) = 90720 different permutations.

5 0
3 years ago
Simplified (4x3 - 5x2 + 3x) + (-2x3 - x2 + 6x)
bogdanovich [222]

Answer:

<em>Answer is</em><em> </em><em>imaginary</em><em> </em><em>root</em><em>s</em>

Step-by-step explanation:

({4x}^{3}  -  {5x}^{2}  + 3x) + ( -  {2x}^{3}  -  {x}^{2}  + 6x) \\ 2 {x}^{3}  - 6 {x}^{2}  + 9x = 0 \\ dividing \: by \: x \\ 2  {x}^{2}  - 6x + 9 = 0 \\ dividin g\: by \: 2 \\  {x}^{2}  - 3x +  \frac{9}{2}  = 0 \\ shifting \: the \: constant \: term \: on \: right \: side \\  {x}^{2}  - 3x =  -  \frac{9}{2}  \\ adding \:  \frac{1}{2}  \times (coefficient \: of \: x) \: whole \: square \\

On solving the above mentioned equation we get some imaginary values.

<em> </em><em> </em><em> </em><em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

6 0
3 years ago
Mr. Baker wants to divide his class into smaller, equal-sized groups of students.However, he finds that his class cannot be divi
Elis [28]

Answer:

Prime. Prime numbers can only be divided by the whole number, or one.

6 0
2 years ago
Yarin’s gross pay for the year was $3,500. The federal income tax withholding from his pay was 9% of his gross pay. Yarin determ
inna [77]

9514 1404 393

Answer:

  $200

Step-by-step explanation:

The amount of withholding was ...

  $3500 · 9% = $315

The excess over the amount due is ...

  $315 -115 = $200

Yarin can expect a refund of $200.

3 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=180%20%5Cdiv%20460%20%3D%20simplified%20%5C%3A%20fraction" id="TexFormula1" title="180 \div 46
Anuta_ua [19.1K]

first you would put the expression in a fraction for

180/460

you already know that the both numbers are divisible by 2

  • so the answer would be 90/230 but we are still no done because these values are divisible by three

the rule to prove that the number is divisible by three is when you add the digits of the number for example 333. 3+3+3=9 and nine is divisible by nine

THE ANSWER IS:::::::: 90/230


5 0
3 years ago
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