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Phantasy [73]
3 years ago
12

15 3/4 divided by 7 5/7. Help

Mathematics
2 answers:
Evgen [1.6K]3 years ago
8 0
15\frac{3}{4}:7\frac{5}{7}\ \ \ |Convert\ mixed\ fractions\ into \ improper\ fractions\\\\
\frac{63}{4}:\frac{54}{7}\ \ \ |Multiply\ first\ fraction\ by\ inverse\ of\ the\ second\\\\
\frac{63}{4}*\frac{7}{54}=\frac{441}{216}=\boxed{2\frac{1}{24}}
stira [4]3 years ago
5 0
Keep change flip////// times 4 by 15 and add 3 and your answer would be over 4 and then times 7 by 7 and add 5 and then you keep your first answer change your dividing sign to a multiplication sign and flip your answer (switch top with bottom and bottom with top) and then multiply across and simplify if needed
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F(x)=<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2-4%7D" id="TexFormula1" title="\sqrt{x^2-4}" alt="\sqrt{x^2-4}" align="abs
hammer [34]

Solve for <em>x</em> when √(<em>x</em> ² - 4) = 1 :

√(<em>x</em> ² - 4) = 1

<em>x</em> ² - 4 = 1

<em>x</em> ² = 5

<em>x</em> = ±√5

We're looking at <em>x </em>≤ 0, so we take the negative square root, <em>x</em> = -√5.

This means <em>f</em> (-√5) = 1, or in terms of the inverse of <em>f</em>, we have <em>f</em> ⁻¹(1) = -√5.

Now apply the inverse function theorem:

If <em>f(a)</em> = <em>b</em>, then  (<em>f</em> ⁻¹)'(<em>b</em>) = 1 / <em>f '(a)</em>.

We have

<em>f(x)</em> = √(<em>x</em> ² - 4)   →   <em>f '(x)</em> = <em>x</em> / √(<em>x</em> ² - 4)

So if <em>a</em> = -√5 and <em>b</em> = 1, we get

(<em>f</em> ⁻¹)'(1) = 1 / <em>f '</em> (-√5)

(<em>f</em> ⁻¹)'(1) = √((-√5)² - 4) / (-√5) = -1/√5

The sign must be negative; see the attached plot, and take note of the negatively-sloped tangent line to the inverse of <em>f</em> at <em>x</em> = 1.

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