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3 years ago

La frase lingüística "cuatro veces un número dividido por la suma de dos

Mathematics

1 answer:

polet [3.4K]3 years ago

8 0

Answer:

Las opciones no se pueden ver, así que responderé de una forma general.

Primero rompamos la frase en partes más cortas

"cuatro veces un número..."

Esto se escribe como 4*N, donde N es el número.

"... la suma de dos

números"

Esto se escribe como K + M

donde K y M son dos números, entonces K + M es la suma de dos números.

Entonces:

"cuatro veces un número dividido por la suma de dos

números"

Se escribirá como:

(4*N)/(K + M )

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Factor to the given polynomial completely. 4x³+24x²-288x

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Answer: $\Large\boxed{4x(x+12)(x-6)}$

Step-by-step explanation:

Given expression

4x³ + 24x² - 288x

Factorize 4x out from the expression

4x · x² + 4x · 6x - 4x · 72

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$\Large\boxed{4x(x+12)(x-6)}$

Hope this helps!! :)

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14 42 in thirds is 14 so if he had to pay a third he paid 14 bucks

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2 years ago

Solve for x. Round to the nearest tenth, if necessary.

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Answer:

$\boxed {\boxed {\sf x \approx 1.9}}$

Step-by-step explanation:

We are asked to find x, a missing side in a triangle.

This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

sinθ= opposite/hypotenuse
cosθ= adjacent/hypotenuse
tanθ= opposite/adjacent

Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is opposite angle S. Side QS, measuring 2.3, is the hypotenuse because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

$sin \theta = \frac {opposite}{hypotenuse}$

θ= 54
opposite= x
hypotenuse = 2.3

$sin (54)= \frac{ x}{2.3}$

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

$2.3* sin (54)= \frac{x}{2.3}*2.3$

$2.3* sin (54)=x$

$2.3*0.8090169944=x$

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Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.

$1.9 \approx x$

x is approximately 1.9

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