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labwork [276]
3 years ago
15

Translate the following written expression into a mathematical expression. Then, find the expression's value when a = 186 and b

= 5.
"The difference of the quotient of a and 6 and b squared"

A.
6
B.
21
C.
-6
D.
56
Mathematics
1 answer:
antoniya [11.8K]3 years ago
8 0

Answer: The correct answer is option A: 6

Step-by-step explanation: We shall start by splitting the word problem into bits to ease our calculations.

We start with “the quotient of a and 6...” and that can be expressed as

a/6 where a equals 186, this becomes

186/6 and this equals 31.

Note that quotient means the result derived from dividing two numbers/values.

Next, “The difference of ... and b squared”

The missing part of this statement has been calculated as 31, so this can now be written as “The difference of 31 and b squared” where b equals 5 and b squared now equals 25. Hence what we have is the difference of 31 and 25

That is, 31 - 25 and that equals 6.

Therefore, the expression can now be written out as;

(a/6) - b^2

When a equals 186 and b equals 5, the answer is 6

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Ab- 0.5b + 1/2 when a = 1 and b = 5
aniked [119]
Since you already know the values of a and b, all you have to do is split the problem into little parts and plug everything into its spot. AB would equal 1(5) which is 5. Athens 0.5b would equal, 0.5(5) to equal 2.5. So now your equation is 5-2.5+1/2 which equals 3.
7 0
3 years ago
The population of the US at the first census in 1790 was 3,929 people. By 2000 the population had increased to 284,000,000! What
OleMash [197]

Answer:

7,228,202%

Step-by-step explanation:

Population at first census in 1979 was 3929

If the Population had increased to 284,000,000 by 2000, the population increase will be;

284,000,000-3929

= 283,996,071

%increase in population = increment/initial population×100%

= 283,996,071/3929×100%

= 7,228,202%

This means that the population has increased by 7,228,202%

4 0
4 years ago
Select the correct answer. consider this absolute value function. if function f is written as a piecewise function, which piece
Elanso [62]

x + 3, x > -3 is the piece which will be included in the given function          f(x) = [ x + 3 ]. This can be obtained by removing modulus and finding the value for x.

<h3>Which piece will the function include?</h3>

Given that,  

f(x) = [ x + 3 ] which is an absolute value function.

Therefore,

| x+3 | > 0

By removing the modulus,

x+3 > 0

x > - 3

Hence x + 3, x > -3 is the piece which will be included in the given function          f(x) = [ x + 3 ].

Learn more about absolute value function here:

brainly.com/question/10538556

#SPJ4

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: Consider this absolute value function.

f(x) = [ x + 3 ]

If function f is written as a piecewise function, which piece will it include?

A. x + 3, x > 3

B. x + 3, x > -3

C. -x + 3, x < -3

D. -x - 3, x < 3

7 0
2 years ago
Graph the following quadratic equation<br> f (x) = x² - 4x + 3
PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

5 0
3 years ago
Ten is the average number of oil tankers arriving each day at a certain port. The facilities at the
vagabundo [1.1K]

Answer:

If 10 is the average then 10 each side would be 20

so that 15 fits into 20 at 3/4

1- 3/4 = 1/4

So the answer is 1/4

Step-by-step explanation:

5 0
3 years ago
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