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4 years ago

Solve for all values of x in simplest form. 9-4|3+5x|=5

Mathematics

2 answers:

ozzi4 years ago

6 0

Answer:

x = -2/5 x = -4/5

Step-by-step explanation:

9-4|3+5x|=5

Subtract 9 from each side

9-9-4|3+5x|=5-9

-4|3+5x|=-4

Divide by -4

-4/-4 |3+5x|=-4/-4

|3+5x|=1

The solution to an absolute value is positive and negative

3+5x =1 3+5x = -1

Subtract 3 from each side

5x = 1-3 5x = -1-3

5x = -2 5x = -4

Divide by 5

5x/5 = -2/5 5x/5 = -4/5

x = -2/5 x = -4/5

Zinaida [17]4 years ago

5 0

Answer:

$x=-2/5\text{ or } x=-4/5$

Step-by-step explanation:

So we have the equation:

$9-4|3+5x|=5$

First, subtract 9 from both sides:

$-4|3+5x|=-4$

Divide both sides by -4:

$|3+5x|=1$

Definition of Absolute Value:

$3+5x=1\text{ or } 3+5x=-1$

Subtract 3 from both sides:

$5x=-2\text{ or } 5x=-4$

Divide both sides by 5:

$x=-2/5\text{ or } x=-4/5$

And we're done!

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The question and answer choices are listed in the picture.

zepelin [54]

Given:
$L=2 \pi r( \frac{x}{360})$

Solution:
If we want to find the solution for r, we need to move the r to the left side first. So I reverse the side
$2 \pi r( \frac{x}{360})=L$

Move 2π to the right side. Because on the left side 2π acts as numerator, after it's moved to the right side, it becomes denominator.
$2 \pi r( \frac{x}{360})=L$
$r( \frac{x}{360})= \frac{L}{2 \pi }$

Move 360 to the right side. Because on the left side 360 acts as denominator, after it's moved to the right side, it becomes numerator.
$r( \frac{x}{360})= \frac{L}{2 \pi }$
$r(x)= \frac{360L}{2 \pi }$

Move x to the right side. Because on the left side x acts as numerator, after it's moved to the right side, it becomes denominator.
$r(x)= \frac{360L}{2 \pi }$
$r= \frac{360L}{2 \pi x}$

Then simplify the fraction
$r= \frac{360L}{2 \pi x}$
$r= \frac{180L}{ \pi x}$

The answer is second option

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3 years ago

A picture that measures 24 x 16 Inches is surrounded by a map of equal width the area of the entire picture and Matt is 560 in.²

nalin [4]

Answer:

384

Step-by-step explanation:

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ella [17]

Answer:

Zero

Step-by-step explanation:

So we start out on a positive 7. We then add a negative (You just subtract) 7. Modified equation: 7-7

7 minus 7 equals 0 or {7 - 7 = 0}

Hope this helps!!

3 0

3 years ago

Read 2 more answers

4/5m=28 can you help me solve this equation step by step?

Maslowich

Step-by-step explanation:

Step by step solution :

Step 1 :

Simplify —

Equation at the end of step 1 :

(— • m) - 28 = 0

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 5 as the denominator :

28 28 • 5

28 = —— = ——————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4m - (28 • 5) 4m - 140

————————————— = ————————

5 5

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

4m - 140 = 4 • (m - 35)

Equation at the end of step 3 :

4 • (m - 35)

———————————— = 0

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

4•(m-35)

———————— • 5 = 0 • 5

Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

4 • (m-35) = 0

Equations which are never true :

4.2 Solve : 4 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3 Solve : m-35 = 0

Add 35 to both sides of the equation :

m = 35

One solution was found :

m = 35

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3 years ago

Drew purchased 3 books each with a different price for $24 the cost of each book was a multiple of 4 what could be the prices of

Verizon [17]

$4, $8, and $12 because each is a multiple of 4 (4x1=4, 4x2=8, 4x3=12) and they all add up to 24.

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3 years ago