Using the quadratic formula to solve 5x = 6x2 – 3, what are the values of x? StartFraction 5 plus-or-minus 3 StartRoot 11 EndRoot Over 12 EndFraction StartFraction 5 plus-or-minus StartRoot 97 EndRoot Over 12 EndFraction StartFraction 5 plus-or-minus StartRoot 47 EndRoot Over 12 EndFraction StartFraction negative 5 plus-or-minus StartRoot 97 EndRoot Over 12 EndFraction

Answers

Answer 1

Answer:

The required value of the quadratic function which is determined by the using quadratic formula would be $x = (5\pm√(97))/(12)$ which is the correct answer would be an option (B).

What is a quadratic function?

The quadratic function is defined as a function containing the highest power of a variable is two.

We have been given that quadratic function as

5x = 6x² – 3

⇒ 6x² - 5x - 3 = 0

Compare the given function to the standard quadratic function

f(x) = ax² + b x + c = 0.

We get a = 6, b = -5 and c = -3

Using the quadratic formula to solve the above quadratic function

$x = (-b\pm√(b^2-4ac))/(2a)$

Substitute the values of a = 6, b = -5 and c = -3 in the quadratic formula

$x = (-(-5)\pm√(-5^2-4*6*-3))/(2*6)$

$x = (5\pm√(25+72))/(12)$

$x = (5\pm√(97))/(12)$

Therefore, the correct answer would be an option (B).

Learn more about the quadratic function here:

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Answer 2

Answer:

Answer:

The answer is B

Step-by-step explanation:

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The planet Mars has two moons – Phobos and Deimos. Phobos has a mass of 10.8 × 1015 kilograms, and Deimos has a mass of 2.0 × 1015 kilograms. How much greater is the mass of Phobos than the mass of Deimos?

Answers

Answer:

mass of Phobos is 8.8 × 10¹⁵ Kilograms greater than mass of Deimos.

Step-by-step explanation:

The planet Mars has two moons Phobos and Deimos.

Mass of Phobos = 10.8 × 10¹⁵ Kilograms

Mass of Deimos = 2 × 10¹⁵ Kilograms

So the difference in the masses of the moons

= 10.8 × 10¹⁵ - 2 × 10¹⁵

= (10.8 - 2) × 10¹⁵

= 8.8 × 10¹⁵ Kilograms

Therefore, mass of Phobos is 8.8 × 10¹⁵ Kilograms greater than mass of Deimos.

The answer is 8932. I'm pretty sure... Hope it helps

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me

Answers

Answer:

First one

Step-by-step explanation:

Answer:

Hey! No need to fret ok so you are doing 7/6 the answer is 1.16 what do we know about this that is true.

Step-by-step explanation:

You are correct only the sum which is 1.16 is irrational because the product of the numbers is rational. Hope I help have a good day please put me for brainliest Thank You!

The small rectangle was enlarged to create the big rectangle.A smaller rectangle has a length of 12 feet and width of 2 feet. A larger rectangle has a length of x feet and width of 5 feet.
Not drawn to scale

What is the missing measure on the big rectangle?
6 feet
10 feet
24 feet
30 feet

Answers

Answer: the missing measure on the big rectangle is 30 feet.

Step-by-step explanation:

If the small rectangle was enlarged to create the big rectangle, it means that they are similar. This also means that the dimensions of the larger rectangle different form the dimensions of the smaller rectangle by a constant ratio or factor.

The smaller rectangle has a length of 12 feet and width of 2 feet. The larger rectangle has a length of x feet and width of 5 feet. This means that

x/12 = 5/2

Cross multiplying, it becomes

2x = 12 × 5 = 60

x = 60/2 = 30

Answer:

d 30

Step-by-step explanation:

ed 2020

Determine whether f(x) = 4x^2 – 16x + 6 has a maximum or a minimum value and find that value.a
maximum; –10
b
minimum; –10
c
maximum; 2
d
minimum; 2

Answers

The function f(x) = 4x² – 16x + 6 has a minimum value is –10 when the value of x is 2. Then the correct option is B.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The function is given below.

$f(x) = 4x^2 -16x + 6$

Differentiate the function, then we have

$(d )/(dx) f(x) =(d)/(dx)(4x^2 -16x + 6) \n\n (d )/(dx) f(x) =8x - 16 \n$

The value of x will be

$8x - 16 = 0\nx = 2$

Then again differentiate the function, if the value comes negative then maxima and if the value is positive then minima.

$f''(x) = (d )/(dx) f'(x) \n\nf''(x)=8x - 16 \n\nf''(x) = 8\n\n f''(x) > 0$