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sveticcg [70]
3 years ago
15

Four fifths more than a number is one third Translate and solve the equation

Mathematics
1 answer:
Verdich [7]3 years ago
8 0

Answer:

1. 4/5+x=1/3

2. x=-7/15

Step-by-step explanation:

Okay, let's break this down. Let's translate the words into numbers.

  1. Four fifths= 4/5. A number=x. One third=1/3.
  2. More than= +. Is means =.

So, 4/5+x=1/3. Great job! Your half way there:) Now we need to solve it.

  1. 4/5+x=1/3 (Original Equation.)
  2. x=1/3-4/5 (We subtracted both sides by 4/5 to isolate the x term.)
  3. x=5/15-12/15 (We found the common denominator to make it easier to subtract.)
  4. x=-7/15 (Ta-da!)
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-1

Step-by-step explanation:

It's going down so it's a negative, and it's going down one square unit at a time so just 1.

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3 years ago
Find the x-intercept of the line whose equation is 8x + 2y =4
Alex787 [66]

Answer:

<h2>x - intercept=  1/2</h2>

Step-by-step explanation:

8x + 2y =4\\Substitute ,y for ;0\\8x+2(0)=4\\8x+0=4\\8x=4\\\frac{8x}{8} =\frac{4}{8} x = 1/2\\(\frac{1}{2} , 0) -x-intercept

METHOD 2

(-\frac{c}{a} , 0)\\a = 8\\b = 2\\c = -4\\\frac{-(-4)}{8} \\x-intercept = \frac{4}{8} \\\\x-intercept = \frac{1}{2}\\(1/2 , 0)

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Tim wants to build a rectangular fence around his yard. He has feet of fencing. If he wants the length to be twice the width, wh
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Step-by-step explanation:

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3 years ago
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I'm having a bit of a problem with this piecewise function I will upload a photo
kipiarov [429]

Given the piecewise function:

f(x)=\begin{cases}-0.5x-4,x\le-2 \\ 5,-24\end{cases}

So, for the given function, we will graph it as follows:

1) graph the line (-0.5x-4) as x less than or equal to -2

To graph the line, we need two points

We will substitute with two values less than -2 and calculate the corresponding values of f(x)

When x = -4, f(x) = -0.5 * -4 - 4 = -2

When x = -6, f(x) = -0.5 * -6 - 4 = -1

So, the line will pass through the points ( -4, -2) and ( -6, -1)

The line will start from the point ( -2, -3)

The dot at x = -2 will be closed.

2) Graph the line (y = 5) as x between -2 and 4

The line will be horizontal at this interval

the dot at x = -2 will be open

The dot at x = 4 will be closed

3) Graph the line ( -x + 5 ) as x greater than 4

As in (1), substitute with 2 values of x greater than 4

When x = 5, f(x) = -5 + 5 = 0

When x = 6, f(x) = -6 + 5 = -1

So, the line will pass through the points ( 5, 0 ) and ( 6, -1 )

The graph of the function will be as shown in the following picture:

8 0
1 year ago
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