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3 years ago

Make x the subject of the formula х +b= a

Mathematics

1 answer:

blagie [28]3 years ago

5 0

Answer:

x = a(c - b)

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

x/a + b = c

Step 2: Solve for x

Subtract b on both sides: x/a = c - b
Multiply a on both sides: x = a(c - b)

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Solve the inequality. Graph the solution set, and write it using interval notation. |5x+4|less than or equal to 10

aniked [119]

we have the inequality

$\lvert5x+4\rvert\leq10$

step 1

Find out the first solution (positive case)

$\begin{gathered} +(5x+4)\leq10 \\ 5x\leq10-4 \\ 5x\leq6 \\ x\leq\frac{6}{5} \\ x\leq1.20 \end{gathered}$

The first solution is all real numbers less than or equal to 1.20

Interval (-infinite,1.20]

step 2

Find out the second solution (negative case)

$-(5x+4)\leq10$

Multiply by -1 both sides

$\begin{gathered} (5x+4)\ge-10 \\ 5x\ge-10-4 \\ 5x\ge-14 \\ x\ge-\frac{14}{5} \\ x\ge-2.8 \end{gathered}$

The second solution is all real numbers greater than or equal to -2.8

the interval [-2.8, infinite)

step 3

Find out the solution to the given inequality

The solution is

[-2.8, infinite) ∩ (-infinite,1.20]=[-2.8,1.20]

the solution is the interval [-2.8,1.20]

see the attached figure to better understand the problem

8 0

1 year ago

Is 2.73234(34 repeating) rational or irrational?

Fittoniya [83]

It's rational because of the repeating digits.

We have

x = 2.732343434…

Then

1,000x = 2,732.343434…

and

100,000x = 273,234.343434…

Subtracting these makes the fractional part go away, leaving you with

100,000x - 1,000x = 273,234.343434… - 2,732.343434…

100,000x - 1,000x = 273,234 - 2,732

99,000x = 270,502

x = 270,502/99,000 = 135,251/49,500

which is clearly a rational number.

5 0

3 years ago

What is the simplest form for 10/42

QveST [7]

2 goes into both numbers, so divide both by 2;

10 ÷ 2 = 5

42 ÷ 2 = 21

so 10/42 in simplest form is: 5/21

7 0

3 years ago

I got a 12 discount on a pair of jeans and a 25% discount on a t-shirt the original price of the jeans was $100 and thatof the T

Tcecarenko [31]

Answer:

$125.50

but I'm not sure

Step-by-step explanation:

100÷100=1

1×12=12

100-12=88

jeans with discount = $88

50÷100=0.5

0.5×25=12.50

5000-1250=3750

t-shirt with discount = $37.50

3750+8800=12550

6 0

3 years ago

Read 2 more answers

Come up with an example of an expression, equation, and inequality.

valentina_108 [34]

Expression (non-algebraic): 3+2
An equation: 2x +1 = 21
An inequality: 2x > 2+2

4 0

3 years ago

Read 2 more answers