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muminat
3 years ago
10

Is |4x+2|+6=0 no solution, all real numbers, 0, and 2

Mathematics
1 answer:
algol [13]3 years ago
7 0

                                        <u>|4x + 2| + 6 = 0</u>

Subtract  6  from each side:  |4x + 2| = -6

But the absolute value of a number is always positive.
No value of 'x' can ever make  |4x + 2|  negative.

So the equation has <em>no solution</em>.


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What is the answer need it
denis-greek [22]

Answer:

\frac{7}{10} |

Step-by-step explanation:

STEP 1:

2/3 + 7/10 = ?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/3, 7/10) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(\frac{2}{3} * \frac{10}{10}) + (\frac{7}{10} * \frac{3}{3}) = ?

Complete the multiplication and the equation becomes

\frac{20}{30} + \frac{21}{30}

The two fractions now have like denominators so you can add the numerators.

Then:

\frac{20+21}{30} = \frac{41}{30}

This fraction cannot be reduced.

The fraction 41/30

is the same as

41 divided by 30

Convert to a mixed number using

long division for 41 ÷ 30 = 1R11, so

41/30 = 1 11/30

Therefore:

2/3+7/10= 1 11/30

STEP 2:

41/30 + -2/3

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(41/30, -2/3) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(\frac{41}{30} *\frac{1}{1} ) + ( \frac{-2}{3} * \frac{10}{10} )

The two fractions now have like denominators so you can add the numerators.

Then:

\frac{41+-20}{30} = \frac{21}{30}

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 30 using

GCF(21,30) = 3

\frac{21/3}{30/3} =\frac{7}{10}

Therefore:

\frac{41}{30} + \frac{-2}{3} =\frac{7}{10}|

8 0
2 years ago
The pet store is giving away samples of dog treats. Each dog that visits the store will get 2 free treats. Yesterday the store g
erastova [34]

16/2 : the first one

Step-by-step explanation:

You take how many treats in all and divide by the number of treats to find how many dogs visited.

3 0
3 years ago
Read 2 more answers
Solve for y.<br> y y<br> —— = ——<br> P-9 P+9
Veronika [31]

9514 1404 393

Answer:

  y = 0

Step-by-step explanation:

Subtracting the right side gives ...

  \dfrac{y}{P-9}-\dfrac{y}{P+9}=0\\\\y\left(\dfrac{(P+9)-(P-9)}{P^2-81}\right)=0\\\\y\left(\dfrac{18}{P^2-81}\right)=0\\\\\boxed{y=0}

The factor multiplying y cannot be zero, so y must be zero.

5 0
3 years ago
The quotient of 4 and 1/5 will be greater than 4.
bixtya [17]
First, we will need to compute the quotient of 4 and 1/5
When we divide a number by a fraction, we convert the division to multiplication and then flip this fraction.
Therefore, in the given:
4 / (1/5) we will convert the division into multiplication and flip the 1/5 to 5
This will result is the following:
4 / (1/5) = 4*5 = 20

Comparing this quotient to 4, we will find that the quotient is greater than 4

Therefore, the given statement is: True
8 0
3 years ago
Read 2 more answers
Jackson had 1, 3/8 kg of fertilizer he used some to fertilize a flower bdd and he only had 2/3kg left how much fertilizer was us
ddd [48]

Answer:

Jackson had 1, ⅜ kg of fertilizer he used some to fertilize a flower bed and he only had ⅔ kg left how much fertilizer was used in the flower bed

Step-by-step explanation:

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

1/3 * (1/2 - 3 3/8) = -23/

24

≅ -0.9583333

Spelled result in words is minus twenty-three twenty-fourths.

How do you solve fractions step by step?

Conversion a mixed number 3 3/

8

to a improper fraction: 3 3/8 = 3 3/

8

= 3 · 8 + 3/

8

= 24 + 3/

8

= 27/

8

To find new numerator:

a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/

8

= 24/

8

b) Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27

c) Write a previous answer (new numerator 27) over the denominator 8.

Three and three eighths is twenty-seven eighths

Subtract: 1/

2

- 27/

8

= 1 · 4/

2 · 4

- 27/

8

= 4/

8

- 27/

8

= 4 - 27/

8

= -23/

8

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one half minus twenty-seven eighths = minus twenty-three eighths.

Multiple: 1/

3

* the result of step No. 2 = 1/

3

* (-23/

8

) = 1 · (-23)/

3 · 8

= -23/

24

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-23, 24) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one third multiplied by minus twenty-three eighths = minus twenty-three twenty-fourths

5 0
2 years ago
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