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Nimfa-mama [501]
3 years ago
12

Help with this math question please

Mathematics
1 answer:
Marat540 [252]3 years ago
8 0
Re-arranging the inequality to find the test points:

x- \frac{70}{x}\ \textless \ -3 \\  \\ 
 x- \frac{70}{x}+3\ \textless \ 0 \\  \\ 
 \frac{ x^{2} -70+3x}{x}\ \textless \ 0 \\  \\ 
 \frac{(x-7)(x+10)}{x}\ \textless \ 0

This means, we need to test the inequality for x = -10, x = 0 and x = 7

Since question assumes that x > 0, so we ignore the values less than 0.
So the test points are x = 0 and x = 7

At x = 0 the expression is undefined.
Between x = 0 and x = 7 the value of expression \frac{(x-7)(x+10)}{x} is negative. At x = 7 the value of expression is 0. Above x = 7 the value of expression is positive. 

So, the solution to the given inequality will be 0 < x < 7.
In Interval notation, the solution can be written as (0,7)
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Simplify. 12k - 6 + (3k)(4) Is it -6, 6, 24k + 6, or 24k - 6?
Effectus [21]
It's 24k-6

By order of operations, you do the multiplication first: 3k(4) = 12k

12k-6+12k now combine like terms

24k-6

Hope that helps




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2 years ago
A company pays 8% commission on sales of $8,000.00 or less. 10% on sales from $8,000 to
aalyn [17]

Answer: 34,788967

Step-by-step explanation:

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2 years ago
Plz help will pick brainlyest
fredd [130]

I think the answer is 402,937.92

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3 years ago
A number sentence is shown below:
d1i1m1o1n [39]

Number sentence is simply a sentence, that uses numbers and arithmetic signs.

  • The context that can be created from the sentence is: <em>How many bits are there, in </em>32\frac 14 bytes
  • The verbal meaning of 32\frac 14 \div \frac 18 = 258 is:  <em>When </em>32\frac 14<em> is divided by </em>\frac 18<em>, the result is </em>258<em />

<em />

Given

32\frac 14 \div \frac 18 = 258

<u />

<u>(a) Context or story</u>

A context is as follows:

<em>There are 8 bits in a byte; How many bits are there, in </em>32\frac 14 bytes

<u />

<u>(b) As a multiplication</u>

32\frac 14 \div \frac 18 = 258

Change the <em>division to multiplication </em>as follows:

32\frac 14 \times \frac 81 = 258

<u />

<u>(c) Verbal explanation how the numbers are related</u>

When 32\frac 14 is divided by \frac 18, the result is 258

Read more about number sentence at:

brainly.com/question/17322770

4 0
2 years ago
A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rec
lisov135 [29]

The equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym and has an area of 7000ft²

Let x be the width of the rectangle.

As the area of track along the walls of the gym is 7000ft²

(x - 12)(3x - 12) = 7000

After simplifying:

3x² - 48x + 6856 = 0

Thus, the equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ1

3 0
1 year ago
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