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2 years ago

Here is the last answers...

Mathematics

2 answers:

nataly862011 [7]2 years ago

8 0

The minimum is 14 questions

Zarrin [17]2 years ago

5 0

Step-by-step explanation:

You are finding the whole

0.7 × 20 = 14

70% of 20 = 7/10 x 20 = 7/10 x 20/1 = 140/10

140/10

140/10 = 14/1

The minimum number of questions he need to do are 14

I'm not sure if you are finding the part or the whole

let me know if im wrong

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2 years ago

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

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