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3 years ago

What is -2x+4=5-3x? Solve for x please

Mathematics

2 answers:

Kruka [31]3 years ago

8 0

-2x + 4 = 5 - 3x Add 3x to both sides.

-2x + 3x + 4 = 5

x + 4 = 5 Subtract 4 from both sides

x = 5 - 4

x = 1 <<<< Answer

vlada-n [284]3 years ago

6 0

-2x+4=5-3x

You're going to add the 3 to the other side (or you could add the 2 to the 3, etc.)

1x+4=5

Now you're going to subtract the 4 since you don't want it on the side of x

1x=1

Thus, x = 1

You might be interested in

Which pair of funtions is not a pair of inverse functions? please help!!

antiseptic1488 [7]

Answer:

$f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Step-by-step explanation:

we know that

To find the inverse of a function, exchange variables x for y and y for x. Then clear the y-variable to get the inverse function.

we will proceed to verify each case to determine the solution of the problem

case A) $f(x)=\frac{x+1}{6} , g(x)=6x-1$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y+1}{6}$

Isolate the variable y

$6x=y+1$

$y=6x-1$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=6x-1$

therefore

f(x) and g(x) are inverse functions

case B) $f(x)=\frac{x-4}{19} , g(x)=19x+4$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y-4}{19}$

Isolate the variable y

$19x=y-4$

$y=19x+4$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=19x+4$

therefore

f(x) and g(x) are inverse functions

case C) $f(x)=x^{5}, g(x)=\sqrt[5]{x}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=y^{5}$

Isolate the variable y

fifth root both members

$y=\sqrt[5]{x}$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=\sqrt[5]{x}$

therefore

f(x) and g(x) are inverse functions

case D) $f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y}{y+20}$

Isolate the variable y

$x(y+20)=y$

$xy+20x=y$

$y-xy=20x$

$y(1-x)=20x$

$y=20x/(1-x)$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=20x/(1-x)$

$\frac{20x}{1-x}\neq \frac{20x}{x-1}$

therefore

f(x) and g(x) is not a pair of inverse functions

7 0

3 years ago

Read 2 more answers

Lauren is a college sophomore majoring in business. This semester Lauren is taking courses in accounting, economics, management

Alexxandr [17]

Answer:

a) We can calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= \frac{350+ 70+ 65 +50+ 60}{5} =119$

And for the median first we need to order the dataset on increasing way:

50, 60, 65, 70, 350

Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:

Median = 65

b) For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.

Step-by-step explanation:

For this case we have the following data:

350, 70, 65, 50, 60

Part a

We can calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= \frac{350+ 70+ 65 +50+ 60}{5} =119$

And for the median first we need to order the dataset on increasing way:

50, 60, 65, 70, 350

Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:

Median = 65

Part b

For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.

8 0

3 years ago

Write each ratio as a rate.

Setler [38]

Answer:

a. 62 miles/hour

b. 1.25 laps/minute

Step-by-step explanation:

a. ratio of miles to the number of hours is 434 to 7 can also be written as

$\frac{434}{7}$ = 62 miles/hour

therefore rate or speed= 62 miles/hour

b. $\frac{number\ of \ laps}{number\ of \ minutes} = \frac{5}{4}$

= 1.25 laps/minute which rate or speed

7 0

3 years ago

The area of a triangular board is 150.5 square inches.The base is 43 inches.What is the height?

olga nikolaevna [1]

Answer: height is 7 inches

Step-by-step explanation:

height=2 ×Area/Base

= 2 (150.5/43)

=2 (3.5)

h = 7

6 0

3 years ago

What is the formula for a Arithmetic series and how can you use it in a practical situation? Show explanation!

SVETLANKA909090 [29]

A finite geometric series is that where the consecutive terms have a fix ratio.

Call r the ratio, An the nth term and An+1 the next term to n, then:

An+1 / An = r

For example, the geometric series, 1, 3, 9, 27, 81, ..

You can verify that

3 = 1* 3

9 = 3 * 3

27 = 9 * 3

81 = 27 * 3

So, the formula is An+1 = An * r, so if you know the first term you can find any other term.

For example, Find the fifth term of a geometric series where the first term is 5 and the second term is 25.

r = second term / first term = 25 / 5 = 5

=> Fifth term = First term * r * r * r * r = First term * r^4 = 25 * 5^4 = 15,625

From this you can also see this valid formula:

An = A1 * r^ (n-1).

So now you have two equivalent formulas:

An+1 = An * r, which is called recursive formula, and

An = A1 * r ^ (n-1), which is called explicit formula

hope this helps :)

3 0

3 years ago