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VLD [36.1K]
3 years ago
13

All calendars are 40% off at a bookstore. Which pair of expressions can both be used to find the price, p, of a calendar after t

he 40% discount?
A . 0.4 & 0.6
B. 0.6 & p-0.4p
C. p-0.4p & p-0.6p
D. 0.4 & p-0.6p

6th grade math
Mathematics
1 answer:
cestrela7 [59]3 years ago
8 0

Answer:

The correct answer is actually B. (i took this quiz and B. was the correct answer)

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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:

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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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Circle graphs, or pie graphs, show information over a period of time.
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Answer:

The given statement is false.

Step-by-step explanation:

Circle graphs, or pie graphs, show information over a period of time.

This statement is false.

A circle graph, or a pie chart, helps in visualizing information and data. These graphs are used to show the results in a proportional manner.

The circle graph is divided in proportions that show the percentage of a certain answer.

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