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3 years ago

Write a story that can be represented by the equation y=x+1/4x

Mathematics

1 answer:

makvit [3.9K]3 years ago

7 0

This question is pretty much asking: Write a story that can be represented by the equation y=1.25x.

So, how about this one: Lily's mom tells Lily to clean up her toys. Lily puts toys away at a rate of one toy per every 1.25 seconds.

That's it, simple as that :P

(Sorry if it wasn't too helpful.)

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Need help with this one also

-Dominant- [34]

Answer:

Step-by-step explanation:

10/7 = 1.4285

9/y = 1.4285

Multiply both sides by y.

9 = 1.4285y

Divide both sides by y.

6.3 = y

6 0

2 years ago

Given the functionf ( x ) = x^2 + 7 x + 10/ x^2 + 9 x + 20

vladimir1956 [14]

<em>x = -4 is a vertical asymptote for the function.</em>

<h2>Explanation:</h2>

The graph of $y=f(x)$ is a vertical has an asymptote at $x=a$ if at least one of the following statements is true:

$1) \ \underset{x\rightarrow a^{-}}{lim}f(x)=\infty\\ \\ 2) \ \underset{x\rightarrow a^{-}}{lim}f(x)=-\infty \\ \\ 3) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty \\ \\ 4) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty$

The function is:

$f(x)=\frac{x^2+7x+10}{x^2+9x+20}$

First of all, let't factor out:

$f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20} \\ \\ f(x)=\frac{x(x+5)+2(x+5)}{x(x+5)+4(x+5)} \\ \\ f(x)=\frac{(x+5)(x+2)}{(x+5)(x+4)} \\ \\ f(x)=\frac{(x+2)}{(x+4)}, \ x\neq 5$

From here:

$\bullet \ When \ x \ approaches \ -4 \ on \ the \ right: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(-4^{+}+2)}{(-4^{+}+4)} \\ \\ \\ The \ numerator \ is \ negative \ and \ the \ denominator \\ is \ a \ small \ positive \ number. \ So: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=-\infty$

$\bullet \ When \ x \ approaches \ -4 \ on \ the \ left: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(-4^{-}+2)}{(-4^{-}+4)} \\ \\ \\ The \ numerator \ is \ a \ negative \ and \ the \ denominator \\ is \ a \ small \ negative \ number \ too. \ So: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=+\infty$

Accordingly:

$x=-4 \ is \ a \ vertical \ asymptote \ for \\ \\ f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20}$

<h2>Learn more:</h2>

Vertical and horizontal asymptotes: brainly.com/question/10254973

#LearnWithBrainly

5 0

3 years ago

Veronica has been saving dimes and quarters. She has 94 coins in all and the total value is $19.30. How many dimes and how many

Stolb23 [73]

Answer:

Step-by-step explanation:

d + q = 94.....d = 94 - q

0.10d + 0.25q = 19.30

0.10(94 - q) + 0.25q = 19.30

9.4 - 0.10q + 0.25q = 19.30

-0.10q + 0.25q = 19.30 - 9.40

0.15q = 9.90

q = 9.90/0.15

q = 66 <===== there are 66 quarters

d + q = 94

d + 66 = 94

d = 94 - 66

d = 28 <==== there are 28 dimes

3 0

3 years ago

Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax u

galina1969 [7]

A had it before tee her

8 0

3 years ago

Find m<1. Please help quick!

GenaCL600 [577]

Answer:

17°

Step-by-step explanation:

Look everything you have above the horizontal line.

It's a 73° angle, plus the one you need, plus 90°. They add up to 180.

m+73+90=180, or m=17.

6 0

3 years ago