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2 years ago

When b = 3 and c = 4, b⁵c⁶/b³c³

Mathematics

2 answers:

Vladimir [108]2 years ago

7 0

Substitute the variables for the numbers. Then solve.

b⁵ = 3⁵ = 243

c⁶ = 4⁶ = 4096

b³ = 3³ = 27

c³ = 4³ = 64

(243)(4096)/(27)(64) = 576

Nimfa-mama [501]2 years ago

6 0

Answer:

simplify the powers, so b^(5-3) * c^(6-3) =

b^2 * c^3 = 3^2 * 4^3 =

9 * 64 = 576

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3 years ago

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

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Y-INTERCEPT

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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:

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

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

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kvv77 [185]

Answer: Independent event

Step-by-step explanation:

When two events are independent of each other, this means that the probability that one event will occurs does not in any way affects the probability of the occurrence of the other event.

For example, card is picked at random from a deck of cards, and after putting it back,thne another card is picked at random. The probability of picking the cards is not affected by each other since it is put back.

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3 years ago

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Mazyrski [523]

Answer:

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Step-by-step explanation:

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3 years ago

When b = 3 and c = 4, b⁵c⁶/b³c³​

When b = 3 and c = 4, b⁵c⁶/b³c³