All categories

3 years ago

3x/4 +2/3=x/3 find the exact answer to the simplest form

1 answer:

5 0

First, we need to get rid of the denominator. to do so, we will simply multiply all terms by 12 (which is the result of 3*4).
(3x/4)(12)+(2/3)(12)=(x/3)(12)
9x + 8 = 4x
then we will separate the variable in one side and solve to get its value
9x-4x = -8
5x = -8
x = -8/5

You might be interested in

On Friday, the temperature was 82°F. The temperature changed by –2°F on Saturday, and then it changed by 5°F on Sunday. What was

postnew [5]

Answer:

the temp on Sunday was 85, it changed by going down 2 degrees, and up 5 degrees

Step-by-step explanation:

when it says -2 degrees F its basically saying subtract 2, and then go on and add 5

4 0

2 years ago

Read 2 more answers

Write an equation involving absolute value for the graph if the points are located at 0 and 0.5

balu736 [363]

Answer:

bro im stuck too

Step-by-step explanation:

6 0

3 years ago

How many different ways can 3 singers be selected from 5 who came to an audition

abruzzese [7]

This is known as "5 take 3", where ordering is not important.

$\binom{5}{3} = \frac{5!}{3!(5-3)!} = \frac{120}{6\cdot2} = 10$

5 0

2 years ago

Suppose the poll in the previous question was conducted by email, and those conducting the survey are concerned about the possib

mr_godi [17]

Answer:

Throw this sample out and start over again with a better sampling method

Step-by-step explanation:

Biased sampling leads wrong results, since the sample doesn't represent the population which is aimed to be surveyed. Higher/lower confidence level or t distribution cannot correct it.

Confidence level gives the probability of rejecting null hypothesis while it is true. And t-interval is used when the sample size is small or population standard deviation is unknown.

Before choosing confidence level or type of the statistic to infer results, one must follow random sampling not biased.

3 0

3 years ago

(01.03. 106, 1.08 HC)

zlopas [31]

Answer:

A) see attached for a graph. Range: (-∞, 7]

B) asymptotes: x = 1, y = -2, y = -1

C) (x → -∞, y → -2), (x → ∞, y → -1)

Step-by-step explanation:

A graphing calculator is useful for graphing the function. We note that the part for x > 1 can be simplified:

$\dfrac{-x^2+x+2}{x^2-3x+2}=-\dfrac{(x-2)(x+1)}{(x-2)(x-1)}=-\dfrac{x+1}{x-1}\quad x\ne 2$

This has a vertical asymptote at x=1, and a hole at x=2.

The function for x ≤ 1 is an ordinary exponential function, shifted left 1 unit and down 2 units. Its maximum value of 3^-2 = 7 is found at x=1.

The graph is attached.

The range of the function is (-∞, 7].

As we mentioned in Part A, there is a vertical asymptote at x = 1. This is where the denominator (x-1) is zero.

The exponential function has a horizontal asymptote of y = -2; the rational function has a horizontal asymptote of y = (-x/x) = -1. The horizontal asymptote of the exponential would ordinarily be y=0, but this function has been translated down 2 units.

The end behavior is defined by the horizontal asymptotes:

for x → -∞, y → -2

for x → ∞, y → -1

7 0

1 year ago