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Fynjy0 [20]
4 years ago
13

Write 5 7/8 as an improper fraction

Mathematics
2 answers:
choli [55]4 years ago
7 0
Improper fractions are when the numerator is greater than the numerator 
the given fraction is a mixed fraction where it has both a whole number and a fraction 
5 \frac{7}{8}
whole number is 5 
fraction is 7/8
when bringing it to an improper fraction we need to convert the whole numbers to fractions as well
denominator is 8. then 5 whole numbers means 5*8 = 40
then the 5 whole numbers as a fraction = \frac{40}{8}
then when we add the 2 fractions 
\frac{40}{8} +  \frac{7}{8} =  \frac{47}{8}
therefore improper fraction is 
\frac{47}{8}
Dmitrij [34]4 years ago
5 0
5\times8=40\\40+7=47\\put~it~over~8\\\frac{47}{8}
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Answer:

Step-by-step explanation:

The parent function here is y = log x, where 10 is the base.

The derivative of y = log x is dy/dx = (ln x) / ln 10.

The derivative of y = log (ax+b) is found in that manner, but additional steps are necessary:  differentiate the argument ax + b:

The derivative with respect to 10 of log (ax + b) is:

dy/dx = [ 1 / (ax + b) ] / [ ln 10 ] *a, where a is the derivative of (ax + b).

Alternatively, we could express the answer as

dy/dx = [ a / (ax + b) ] / [ ln 10 ]

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Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.
jek_recluse [69]

Answer:

Choice B: y = 2\, (x - 6)^{2} + 5.

Step-by-step explanation:

For a parabola with vertex (h,\, k), the vertex form equation of that parabola in would be:

\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}.

In this question, the vertex is (6,\, 5), such that h = 6 and k = 5. There would exist a constant a such that the equation of this parabola would be:

y = a\, (x - 6)^{2} + 5.

The next step is to find the value of the constant a.

Given that this parabola includes the point (7,\, 7), x = 7 and y = 7 would need to satisfy the equation of this parabola, y = a\, (x - 6)^{2} + 5.

Substitute these two values into the equation for this parabola:

7 = (7 - 6)^{2}\, a + 5.

Solve this equation for a:

7 = a + 5.

a = 2.

Hence, the equation of this parabola would be:

y = 2\, (x - 6)^{2} + 5.

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3 years ago
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