Slope-intercept form

Mathematics

1 answer:

ASHA 777 [7]3 years ago

3 0

Y=mx+b is this what you want

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The price of a television decreased from $1000.00 to $800.00. What was the percent of decrease? a. 2% b. 18% c. 20% d. 25%

sweet-ann [11.9K]

If we divide 800/1000, we get .8 This means The price of $800 is only 80% of $1000. Furthermore, this also means that there was a decrease in price of 20%. The answer is C.

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3 years ago

Write a word problem for n($25)=$125

velikii [3]

Julie bought (n) shirts. Each shirt cost $25. The total amount Julie spent on shirts was $125. How many shirts did Julie buy?

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BigorU [14]

B or Always increasing

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The population of a certain geographic region is approximately 103 million and grows continuously at a relative growth rate of 1

aev [14]

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3 years ago

Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'

AleksandrR [38]

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

<span>The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.

</span> $\dfrac{9}{10} = x + \dfrac{3}{5}$

$x = \dfrac{9}{10} - \dfrac{3}{5} = \dfrac{9}{10} -\dfrac{6}{10} = \dfrac{3}{10}$

That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)

Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

$\pm a \pm b = \pm c$

Let's get rid of the plus/minuses. Squaring,

$a^2 + b^2\pm 2ab = c^2$

$\pm 2ab = c^2-a^2-b^2$

$4a^2b^2 = (c^2-a^2-b^2)^2$

For us, that's a quadratic equation for $c^2$

$4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2$

I'll skip right to the solutions,

$c^2=\dfrac{9}{100} \textrm{ or } c^2=\dfrac{9}{4}$

$c=\dfrac{3}{10} \textrm{ or } c=\dfrac{3}{2}$

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

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3 years ago