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KATRIN_1 [288]
3 years ago
11

The solution set of the equation 8x + 12 = 5x – 21.

Mathematics
1 answer:
erastovalidia [21]3 years ago
6 0

Answer:

8x + 12 = 5x -21

8x-5x=-12-21

3x=-33

x=-33/3

x=-11

Hope it helps

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Write a compound inequality that represents the following scenario:
Inessa05 [86]

The compound inequality that represents the two following scenarios are:

  1. 65 < f ≤ 4
  2. 8 ≤ f ≤ 12

A compound inequality usually puts together two or more simple inequalities statements together.

Following the assumption from the given information that;

  • a free single scoop cone = f

<h3>1.</h3>

The age group of individuals designated to receive the free single scoop cones is:

  • people who are older than 65 i.e. > 65
  • children that are 4 or under 4 i.e. ≤ 4

Thus, the compound inequality that is appropriate to express both conditions is:

  • 65 < f ≤ 4

<h3>2.</h3>
  • On Tuesdays, the least amount of flavors = 8
  • The addition amount of extra flavors they can add = 4

Now, we can infer that the total amount of flavors = 8 + 4 = 12

Thus,  the compound inequality that is appropriate to express both conditions is:

  • Least amount of flavors ≤ f ≤ total amount of flavors  
  • 8 ≤ f ≤ 12

Therefore, we can conclude that the compound inequality that represents the two following scenarios are:

  1. 65 < f ≤ 4
  2. 8 ≤ f ≤ 12

Learn more about compound inequality here:

brainly.com/question/24540195?referrer=searchResults

6 0
2 years ago
Let f(x)=2.912345x^2+3.131579x-0.099999
Rudiy27
A.) Integers are positive and negative counting numbers. So, in order to find the integer coefficients, round off the coefficients in the equation to the nearest whole number. The function for g(x) is:

g(x) = 3x²+3x

B.) Substitute x=4 to the two functions.

f(x) = 2.912345x²<span>+3.131579x-0.099999
</span>f(4) = 2.912345(4)²+3.131579(4)-0.099999
f(4) = 59.023837

g(x) = 3x²+3x
g(4) = 3(4)²+3(4)
g(4) = 60

C.) The percentage error is equal to:

Percentage error = |g(4) - f(4)|/f(4)  * 100
Percentage error = |60 - 59.023837|/59.023837  * 100
Percentage error = 1.65%

D.) If x is a large number, for example x=10 or x=20, then g(x) would be an overestimate. This is because the value of x is raised to the power of 2. So, as the x increases, the corresponding function would increase exponentially. Even at x=4, g(x) is already an overestimate. What more for larger values of x? That means that the gap from the true answer f(x) would increase.
5 0
3 years ago
Please help fast! 25 points and brainliest!!
Firlakuza [10]

Answer:

The answer is

<h2>9x³ - 11x² - 7x</h2>

Step-by-step explanation:

f(x) = 36x^5 − 44x⁴ − 28x³

g(x) = 4x²

To find f(x) / g(x) Divide each term of f(x) by g(x)

That's

\frac{f(x)}{g(x)}  =  \frac{ {36x}^{5} -  {44x}^{4}  -  {28x}^{3}  }{ {4x}^{2} }  \\  \\  =  \frac{ {36x}^{5} }{ {4x}^{2} }  -  \frac{ {44x}^{4} }{ {4x}^{2} }  -  \frac{ {28x}^{3} }{ {4x}^{2} }  \\  \\  =  {9x}^{3}  -  {11x}^{2}  - 7x

Hope this helps you

3 0
3 years ago
How do you find the lease common fatcor
8_murik_8 [283]

Answer:

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.


Step-by-step explanation:


4 0
3 years ago
Roberta has collected a set of data and calculated the mean to be 34. The set contains 75 numbers, but Roberta gets an email tel
IRINA_888 [86]
30.8 add it all up and divided how ever many number there are
6 0
3 years ago
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