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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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How many 1/4 litre bottles can be filled from a jug containing 8 litres of water?<br>​
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\frac{8}{1} ÷ \frac{1}{4}

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2 Points<br> f(x) = x2 - 3x - 2 is shifted 4 units left. The result is g(x). What is g(x)?
IRINA_888 [86]

The function g(x) = x² + 5x + 2

Step-by-step explanation:

Let us revise the horizontal translation

  • If the function f(x) translated horizontally to the right  by h units, then its image is g(x) = f(x - h)
  • If the function f(x) translated horizontally to the left  by h units, then its image is g(x) = f(x + h)

∵ f(x) = x² - 3x - 2

∵ f(x) is shifted 4 units left

- That means add 4 to each x in the function f(x)

∴ g(x) = (x + 4)² - 3(x + 4) - 2

Simplify it by solving the bracket of power two and open the other

bracket by multiply it by 3 and adding the like terms

∵ (x + 4)² = (x)(x) +2(x)(4) + (4)(4)

∴ (x + 4)² = x² + 8x + 16

∵ 3(x + 4) = 3x + 12

∴ g(x) = [x² + 8x + 16] - [3x + 12] - 2

∴ g(x) = x² + 8x + 16 - 3x - 12 - 2

- Add like terms

∴ g(x) = x² + (8x - 3x) + (16 - 12 - 2)

∴ g(x) = x² + 5x + 2

g(x) = x² + 5x + 2

Learn more:

You can learn more about quadratic function in brainly.com/question/9390381

#LearnwithBrainly

5 0
3 years ago
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