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tekilochka [14]
3 years ago
9

Which is the simplified form of ((2^-2)(3^4))^-3*((2^-3)(3^2))^2

Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0

Hello, 2^36 3^48 is the correct answer.

Please mark brainliest.

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3. Si al doble de un número se le resta su mitad resulta 30. ¿Cuál es el número? Plantear ecuación y resolverla
guajiro [1.7K]

Respuesta:

2x - 0.5x = 30

x = 20

Explicación paso a paso:

Llamemos "x" a la incógnita, el número desconocido.

Cuando nos referimos al doble de un número, es lo mismo que 2x.

Cuando nos referimos a la mitad de un número, es lo mismo que 0.5 x.

Consideremos que al doble de un número (2x) se le resta su mitad 0.5x) y se obtiene 30. La ecuación resultante es:

2x - 0.5x = 30

1.5x = 30

x = 30/1.5 = 20

8 0
3 years ago
Which number line represents the solution to<br><br> W - 2 &lt; 8 ?
Umnica [9.8K]

Answer:

w<10

number -  A

(<) means "open circle to the left."

8 0
3 years ago
write an equation of the perpendicular bisector of the line segment whose endpoints are (-1,1) and (7,-5)
gladu [14]
Find midpoint of segment.
(-1,1), (7,-5)
x= \frac{-1+7}{2}=3,y= \frac{1+(-5)}{2}=-2

Find slope of line which passes through (-1,1) and (7,-5).
m= \frac{-5-1}{7-(-1)}= \frac{-6}{8}=- \frac{3}{4}

The slope of perpendicular line is negative reciprocal value of m.
m_{\perp}=- \frac{1}{m} =- \frac{1}{- \frac{3}{4} } = \frac{4}{3}

Write quation of line which slope is \frac{4}{3} and passes throug the point (3,-2).
m=\frac{4}{3},x_1=3,y_1=-2&#10;\\y-y_1=m(x-x_1)&#10;\\&#10;\\y-(-2)=\frac{4}{3}(x-3)&#10;\\&#10;\\y+2=\frac{4}{3}x-\frac{8}{3}&#10;\\&#10;\\3y+6=4x-8&#10;\\4x-3y-14=0

3 0
3 years ago
Jonathon's Yo-Yo has a string that is three and a half feet long. If Jonathon cuts six inches off of the string, how many feet w
earnstyle [38]
1 ft= 12 inches
1/2 ft= 6 inches

=3 1/2 feet - 6 inches
substitute # of inches in for 1/2 foot
=3 ft 6 inches - 6 inches
=3 feet

ANSWER: 3 feet

Hope this helps! :)
7 0
3 years ago
Verify if f(x)= 5-3x/2 and g(x)= 5-2x/3 are inverses. Please show step by step.
mestny [16]

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

<h3>Inverse of functions</h3>

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: brainly.com/question/19859934

#SPJ1

7 0
1 year ago
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