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3 years ago

Jody is buying a scrapbook and sheets of designer paper. She has $40 and needs at least $19.00 to

Mathematics

1 answer:

Bas_tet [7]3 years ago

8 0

Answer:

7 sheets of paper

Step-by-step explanation:

$40-$19=$21

$21/$3=7 sheets of paper.

In words:

I did 40 minus 19 to get 21, and the divided 21 by 3 to get 7 sheets of paper.

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Find the x- and y- intercepts of parabola y=5x^2-16x+10

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Y-INTERCEPT

$y = 5x^2 - 16x + 10$

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

$\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10$

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

$y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0$

We need to use the quadratic formula

The quadratic formula helps us find what values of $x$ make the equation = 0

Quadratic formula: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\$

The x-intercepts are at:

$(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)$

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2 years ago

In 2013, the population of the state of New York was approximately 19.65 million, and the population of New York City was 8,406,

steposvetlana [31]

Answer:

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Step-by-step explanation:

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Prove that given any 17 integers, there exist nine of them whose sum is divisible by 9.

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This is a simple consequence of the Zero-sum problem: https://en.wikipedia.org/wiki/Zero-sum_problem

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3 years ago

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The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true?

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$\bf \cfrac{dogs}{cats}\qquad \stackrel{ratio}{\cfrac{13}{25}}\qquad \cfrac{\leftarrow \textit{for every 13 dogs}}{\leftarrow \textit{there are 25 cats}}$

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Which is longer between 500 feet and 350 yards<br>

Mariana [72]

Answer:

350 yards

Step-by-step explanation:

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