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3 years ago

What’s 55 x 3squared to the root of 5

Mathematics

1 answer:

swat323 years ago

7 0

So.. 55x3=165
165 is already in its simplest form I don’t think you can square root it

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(x^2-3x+2)^2 - 4x + 2

Arturiano [62]

The answer is (x-2)^2(x-1)^2-4x+2

8 0

3 years ago

For what values of $j$ does the equation $(2x+7)(x-5) = -43 + jx$ have exactly one real solution? express your answer as a list

LiRa [457]

The values of 'j' are -11,5.

What is a Quadratic Equation?

Quadratic equations are the polynomial equations of degree 2 in one variable of the type $f(x) = ax^{2} + bx + c = 0$ where a, b, c, ∈ R and a ≠ 0.
The standard form of a quadratic equation is $ax^{2} + bx + c = 0$ .

Here, the given equation is (2x+7)(x-5) = - 43 + jx

On simplifying the equation we get,

$2x^{2} -10x+7x-35=-43+jx\\2x^{2} -3x-35+43-jx=0\\2x^{2} -3x-jx+8=0\\2x^{2} -(3+j)x+8=0.....(1)\\$

By comparing the given equation with the standard form of the quadratic equation we get,

a = 2

b = - (3 + j)

c = 8

Therefore,

$(-(3+j))^{2} -4\times2\times8=0\\(3+j)^{2} -64=0\\(3+j)^{2} =64\\$

Take the square root of both sides,

$\sqrt{(3+j)^{2} }=\sqrt{64} \\$

3 + j = ±8

Therefore,

3 + j = 8

j = 8 - 3

j = 5

3 + j = -8

j = -8 - 3

j = -11

Hence, the possible values of 'j' are -11,5.

Learn more about the quadratic equation at brainly.com/question/8649555

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4 0

2 years ago

I earn 0.008$-100$ every 4 minutes. How much will I earn in 24 hours at this rate? How much will I earn in 1 hour at this rate?

lorasvet [3.4K]

Considering the given proportion of $100 every 4 minutes, the earnings are as follows:

$1,500 in one hour.

$18,000 in 12 hours.

$36,000 in 24 hours.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The proportion for this is of $100 every 4 minutes, hence the amount per minute is:

$100/4 = $25.

The amount per hour(60 minutes) is:

25 x 60 = $1,500.

In 12 hours, the amount is:

12 x 1500 = $18,000.

In 24 hours, the amount is:

25 x 1500 = $36,000.

More can be learned about proportions at brainly.com/question/24372153

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4 0

2 years ago