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3 years ago

When you start from a given set of rules and conditions and determine what must be true you are using _ reasoning

Mathematics

1 answer:

asambeis [7]3 years ago

4 0

Answer:

Deductive

Step-by-step explanation:

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Given that f(x) = 19x2 + 152, solve the equation f(x) = 0

telo118 [61]

Option A

The solution is:

$x = \pm 2i \sqrt{2}$

Solution:

$f(x) = 19x^2+152$

We have to solve the equation f(x) = 0

Let f(x) = 0

$0=19x^2+152$

Solve the above equation

$19x^2 + 152 = 0$

$\mathrm{Subtract\:}152\mathrm{\:from\:both\:sides}\\\\19x^2+152-152=0-152\\\\Simplify\ the\ above\ equation\\\\19x^2 = -152\\\\\mathrm{Divide\:both\:sides\:by\:}19\\\\\frac{19x^2}{19} = \frac{-152}{19}\\\\x^2 = -8$

Take square root on both sides

$x = \pm \sqrt{-8}\\\\x = \pm \sqrt{-1}\sqrt{8}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\x = \pm i\sqrt{8}\\\\x = \pm i \sqrt{2 \times 2 \times 2}\\\\x = \pm 2i\sqrt{2}$

Thus the solution is found

5 0

3 years ago

Write a quadratic function h whose zeros are - 6 and -5 h (x) =

ANTONII [103]

Answer:

h(x)= x^2+11x+30

Step-by-step explanation:

A quadratic function is in the form h(x) = ax^2 + bx + c.

Since the zeros are -6 and -5, take the opposite signs and add them to the variable x separately.

It should look like this: h(x)= (x+6)(x+5)

Since this is the factored form, we have to solve this equation further.

h(x)= (x+6)(x+5)

h(x)= x^2+6x+5x+30

h(x)= x^2+11x+30

4 0

3 years ago

Please help me find the value of x! Thank you!

Arisa [49]

Answer:

there is no value its letter

Step-by-step explanation:

there is no value to a letter duh

3 0

3 years ago

en una guardería ay una matricula de 50 lactantes de los cuales 20 son niñas cual es la razon de niñas a niños en dicha guarderi

Svetradugi [14.3K]

Answer:

La razón de niñas a niños en la guardería es de 2 niñas por cada 3 niños.

Step-by-step explanation:

Una razón es una división entre dos números, generalmente en forma racional (fraccionaria). La razón de niñas a niños en la guardería es la cantidad de niñas dividida por la cantidad de niños de la dicha guardería, Es decir:

$x = \frac{20}{30}$