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LUCKY_DIMON [66]
3 years ago
12

I need the answers for 1 a-d pleas ​

Mathematics
1 answer:
DaniilM [7]3 years ago
4 0

We want to find a fraction that is between

\frac{1}{4}\:and\:\frac{1}{2}

There are several ways to go about this.

There are also infinitely many fractions that can be found between the given fractions.

Let us go for the one in the middle of the two fractions.

So we add the two fractions and divide by 2.

a) \frac{\frac{1}{4} +\frac{1}{2} }{2}

Find LCM for the numerator

\frac{\frac{1+2}{4}}{2}

Simplify:

\frac{\frac{3}{4}}{2}

\frac{\frac{3}{2}}{2}

\frac{3}{8}}

b) \frac{\frac{1}{3} +\frac{3}{4} }{2}=\frac{13}{24}

c)\frac{\frac{1}{2} +\frac{3}{4} }{2}=\frac{5}{8}

d)\frac{\frac{3}{5} +\frac{7}{8} }{2}=\frac{59}{80}

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6. Find the function with x-intercepts (-3,0) and (5,0), which also goes through the point (1,8)
Yakvenalex [24]

Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

This function has two roots:  -3 and 5.  Most likely it is a quadratic (all of which have two roots).

Then f(x) = a(x + 3)(x - 5)

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f(1) = a(1 + 3)(1 - 5) = 8, or

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Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or

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