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2 years ago

Explain how you would solve 16/c=8. Then solve the equation

Mathematics

2 answers:

alexandr402 [8]2 years ago

6 0

16/c=8
16/c=8/1
cross multiple
16=8c
c=16/8
c=2

Dimas [21]2 years ago

4 0

16/c =8

That means 16 divided by same random number "c" makes the number 8. This also means that 8 times that random number you divided by makes 16.

Using this, you can rearrange the equation in various ways.

16/c =8

16 = c*8

c = 16/8

We only really need that last one, c = 16/8,

16/8 = 2

c = 2

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Which of the following is the result of the equation below after completing the square and factoring?

Tems11 [23]

Answer:

D) $(x + \frac{5}{2})^{2} = \frac{9}{4}$

Step-by-step explanation:

Step(i):-

Given equation

x² + 5 x + 8 = 4

⇒ $x^{2} + 2 X \frac{5}{2} x + (\frac{5}{2} )^{2} - (\frac{5}{2} )^{2}+ 8 = 4$

Step(ii):-

By using (a + b)² = a² + 2 a b + b²

⇒ $(x + \frac{5}{2})^{2} - (\frac{5}{2} )^{2}+ 8 = 4$

⇒ $(x + \frac{5}{2})^{2} = 4 + (\frac{5}{2} )^{2} -8$

⇒ $(x + \frac{5}{2})^{2} = (\frac{25}{4} ) -4$

⇒ $(x + \frac{5}{2})^{2} = (\frac{25-16}{4} )$

⇒ $(x + \frac{5}{2})^{2} = \frac{9}{4}$

Final answer:-

$(x + \frac{5}{2})^{2} = \frac{9}{4}$

7 0

3 years ago

21b-32+7b-20b=? Tell fast pls

madam [21]

21b-32+7b-20b=

21b + 7b - 20b - 32

8b - 32

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2 years ago

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2 years ago

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Korolek [52]

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2 years ago

Find which one is f f' f"

Olegator [25]

f - green (A)

f' - red (B)

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The graph of f attains local extrema at the same points that f' = 0. There's evidence of this at x = 0 and between x = 3 and x = 3.5. (At both points, curve A attains a maximum, while curve B crosses the x-axis.)

Similarly, the graph of f' attains local extrema at the same points that f'' = 0. This is seen between x = 1.5 and x = 2. (B has a max, C crosses axis)

Also, the graph of A is continuous at x = 1.5 but exhibits a sharp turn, so at this point f is not differentiable and the graph of f' (and subsequently f'') is not continuous.

7 0

2 years ago