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3 years ago

X2+2x-15=0 Find the quadratic formula

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

3 0

Answer:

Step-by-step explanation:

For a quadtratic in the form of

$ax^{2} + bx + c = 0$

The solutions to this can be found using the quadratic formula:

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

For the given equation, $a = 1$ , $b = 2$ , $c = -15$ . Plugging these numbers into the formula will give you the answer.

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8- (-5) - 4 (-7) = 41

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5 Victor knows that 2 + 7 = 7+2 and 2•7= 7•2

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Answer:2^7 ≠ 7^2

Step-by-step explanation:

2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2

The only factor is 2

7^2 = 7 * 7

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Comparing the factors when written as a repeated multiplication,

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Answer:

I and IV

Step-by-step explanation:

Since the height of the basketball reaches above 15 feet, hence the maximum of the function should be greater than 15 feet. Also at 7 seconds, the ball is on the ground, hence f(7) = 0 feet

The maximum of a function is at x = -b/2a

i) f(x) = -(x-3)² + 16 = -(x² - 6x + 9) + 16 = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

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Also f(7) = - (7 - 3)² + 16 = 0

Hence this option is correct

ii) f(x) = -x² + 8x - 7

The maximum of a function is at x = -b/2a = -8 / 2(-1) = 4

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Hence this option is not correct since the maximum f(4) = 9 < 15

iii) f(x) = -(x-3)² + 14 = -(x² - 6x + 9) + 14 = -x² + 6x + 5

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 14 = 14 < 15

Also f(7) = - (7 - 3)² + 14 = -2

Hence this option is not correct since the maximum f(4) = 9 < 15 and f(7) ≠ 0

iv)f(x) = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

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