3 years ago

How can you write and solve equations involving rational numbers?

1 answer:

6 0

Convert the rational number to decimals, then solve it as a decimal instead, (with the optional choice of re-converting it back to rational).

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If f and g are continuous functions with f(3)=5 and lim x-->3 [2f(x)-g(x)]= 4, find g(3)

Ierofanga [76]

Because $f,g$ are continuous,

$\displaystyle\lim_{x\to3}(2f(x)-g(x))=2\lim_{x\to3}f(x)-\lim_{x\to3}g(x)=2f(3)-g(3)=4$
$10-g(3)=4$
$g(3)=6$

6 0

4 years ago

A limited-edition poster increases in value each year. After 1 year, the poster is worth $20.70. After 2 years, it is worth $23.

erica [24]

Y = 18(1.15)x is the answer
After one year
18×(1.15)=20.7
After two years
18×(1.15)^(2)=23.81

4 0

3 years ago

My brother is 5 years older than me. My sister is 3 years younger than me. How old was my brother when my sister was m years old

LenaWriter [7]

hmmmm

b = brother

s = sister

a = my age

so your brother is 5 years older, b = a + 5.

and your sister is 3 years younger, s = a - 3.

that means your sister is

$\bf \begin{cases} b=a+5\implies b-5=\boxed{a}\\ s=a-3\\[-0.5em] \hrulefill\\ s=\boxed{b-5}-3\implies s=b-8 \end{cases} \\\\\\ \stackrel{\textit{if your sister is "m" years old, say s = m}}{m=b-8}\implies \blacktriangleright m+8=b \blacktriangleleft$