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nlexa [21]
3 years ago
9

Solve for x. 3x^2−10=−5 (choices in photo)

Mathematics
1 answer:
stiks02 [169]3 years ago
3 0
The correct answer is the second one: ±√15/3

 Explan ation:

 You have the quadratic equation <span>3x^2−10=−5. Then you must clear the variable "x" as below:
</span><span>
 3x^2−10=−5</span> 
<span> 3x^2=−5+10
 </span><span>3x^2=5
 </span><span>x^2=5/3
 x=</span>±√(5/3)

 When you multipy the numerator and the denominator by 3 for simplify the result, you obtain:

 x=±√(5x3/3x3)
 x=±√(15/3²)

 When you simplify, you have:

 x=±√15/3

 
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What second degree polynomial function has a leading coefficient of -2 and root 4 with a multiplicity of 2
OverLord2011 [107]

The second degree polynomial with leading coefficient of -2 and root 4 with multiplicity of 2 is:

p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2

<h3>How to write the polynomial?</h3>

A polynomial of degree N, with the N roots {x₁, ..., xₙ} and a leading coefficient a is written as:

p(x) = a*(x - x_1)*(x - x_2)*...*(x - x_n)

Here we know that the degree is 2, the only root is 4 (with a multiplicity of 2, this is equivalent to say that we have two roots at x = 4) and a leading coefficient equal to -2.

Then this polynomial is equal to:

p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2

If you want to learn more about polynomials:

brainly.com/question/4142886

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8 0
2 years ago
To express a number in one unit as an equivalent value of another unit
ddd [48]
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.
4 0
2 years ago
Mr. Pham wrote the equation below on the board. 18 - 7x = -20.5 What is the value of x?
slavikrds [6]
Use the arithmetic operations to get the variable x on one side of the equation and everything else on the opposite side.

If something is being is being done to a variable, we undo that operation by using the inverse of that operation.

For example, if 10 is being added to x, we use the inverse of addition or subtraction.

18 - 7x = -20.5

We variable x is being multiplied by 7 and is subtracting 18. We need to undo all those operations.

18 - 7x = -20.5
-7x = -38.5

Now the variable is only being multiplied by -7. Reverse the operation.

-7x = -38.5
x = 5.5

So, x is equal to 5.5.
7 0
3 years ago
Read 2 more answers
If you could help I would really appreciate it, but if not that’s fine. Thank you.
dolphi86 [110]

Answer:

3

Step-by-step explanation:

j(2) means that x equals 2...

the first inequality in the function says that x is greater than or equal to 2

the second inequality states that x is greater than 2(not equal to) and is less than or equal to 5

the third one states that x is greater than 5

x applies to the first inequality since we know that x can be equal to 2

Now, to the number before the if

there is a 3 before the if in the first inequality

This means that if x is greater than or equal to 2 the y or the function would equal 3

therefore, j(2) would equal 3

I hope this helps!!!

6 0
3 years ago
what is the sum of the prime numbers of 420 do not repeat any prime factors A 15 B 16 C.17 D. 18 E. 19
Mars2501 [29]

Answer:

C)

Step-by-step explanation:

Prime factorization of 420 = 2 × 2 × 3 × 5 × 7 = 22 × 3 × 5 × 7.

If you take...

2 + 2 + 3 + 5 + 7...

You would get 17.

Hope this helps! :) Good Luck!

<em>-kiniwih426</em>

5 0
3 years ago
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