All categories

1 year ago

2/3x - 1/6 > 1/2 Please sole and add equation in response if possible thanks :

Mathematics

2 answers:

Shkiper50 [21]1 year ago

8 0

The solution would be x > 1 sorry if its wrong but hope it helps

slega [8]1 year ago

6 0

0< x < 1 or (0,1) should be the answer

You might be interested in

For options A– E choose all of the expressions that are equivalent to 3(4x + 3).

Katen [24]

3(4x+3) = 12x + 9
A= 3(4x+1)
B= 9 + 12x
C= 7x + 6
D= 12x + 9
E= 12x + 9

Answer: D, E

Hope This Helps✨

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20-%20%5Cfrac%7Bx%5E%7B2%7D-4%20%7D%7Bx%5E%7B4%7D%20%2Bx%5E%7B3%7D%20-4x%5E%7B2%7D-4%

Llana [10]

a) The given function is

$f(x)=\frac{x^2-4}{x^4+x^3-4x^2-4}$

The domain refers to all values of x for which the function is defined.

The function is defined for

$x^4+x^3-4x^2-4\ne0$

This implies that;

$x\ne -2.69,x\ne 1.83$

b) The vertical asymptotes are x-values that makes the function undefined.

To find the vertical asymptote, equate the denominator to zero and solve for x.

$x^4+x^3-4x^2-4=0$

This implies that;

$x= -2.69,x=1.83$

c) The roots are the x-intercepts of the graph.

To find the roots, we equate the function to zero and solve for x.

$\frac{x^2-4}{x^4+x^3-4x^2-4}=0$

$\Rightarrow x^2-4=0$

$x^2=4$

$x=\pm \sqrt{4}$

$x=\pm2$

The roots are $x=-2,x=2$

d) The y-intercept is where the graph touches the y-axis.

To find the y-inter, we substitute;

$x=0$ into the function

$f(0)=\frac{0^2-4}{0^4+0^3-4(0)^2-4}$

$f(0)=\frac{-4}{-4}=1$

e) to find the horizontal asypmtote, we take limit to infinity

$lim_{x\to \infty}\frac{x^2-4}{x^4+x^3-4x^2-4}=0$

The horizontal asymtote is $y=0$

f) The greatest common divisor of both the numerator and the denominator is 1.

There is no common factor of the numerator and the denominator which is at least a linear factor.

Therefore the function has no holes.

g) The given function is a proper rational function.

There is no oblique asymptote.

See attachment for graph.

6 0

2 years ago

What is the value of x in this simplified expression

arsen [322]

Answer:

Step-by-step explanation:

(-j)^-7 = 1/(-j)^x

Changing LHS as

1/(-j)^7 = 1/(-j)^x

Comparing LHS and RHS

x = 7

8 0

3 years ago

Arithmetic and Geometric Sequences (Context)

V125BC [204]

The formula for compound interest

A = P( 1 + r/n) ^ (nt)

A is the amount in the account at the end

P is the principal balance or the amount initially invested

r is the annual interest rate in decimal form

n is the number of times it is coupounded per year

t is the number of years

A = 1800 ( 1+ .0375/1) ^ (1*6)

A = 1800 ( 1.0375)^6

A = 2244.92138

Rounding to the nearest cent

A = 2244.92

7 0

1 year ago

If a swimmer swims 85.4 yards in 5 minutes, how many meters will he/ she swim in 70 seconds

DaniilM [7]

Distance swam in 5 minutes = 85.4 yards

Since, 1 min = 60 seconds and 1 yard = 0.91 meter

5 minutes = $5 \times 60 = 300$ seconds

85.4 yards = $85.4 \times 0.91 = 77.7$ meters

So, Distance swam in 300 seconds = 77.7 meters

Now, we will use unitary method to determine the distance swam in 70 seconds.

Distance swam in 1 second = $77.7 \div 300$ = 0.26 meter

So, Distance swam in 70 seconds = $70 \times 0.26$

= 18.2 meters

Therefore, the swimmer took 70 seconds to cover the distance of 18.2 meters.

6 0

2 years ago