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stepladder [879]

2 years ago

13

The special at a local pizza place says you can choose any 3 toppings from a list of 5. How many possible combinations are there

?

2 answers:

Mars2501 [29]2 years ago

6 0

Will there are 3 toppings and 5 all together and you add 3 & 5 = 8 so that makes 3/8 i think !

Simora [160]2 years ago

3 0

The number of combinations of the 5 different toppings taken 3 at a time is:
$5C3=\frac{5!}{3!2!}=10\ possible\ combinations$

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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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1 year ago

15% of what number is 234

Alexandra [31]

15% of 1560 is 234. 234/0.15=1560 and 1560 x 0.15=234, therefore the answer is 1560.

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2 years ago

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In an examination the following scores were a chief by a group of students:

e-lub [12.9K]

A!

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2 years ago

Here are the ingredients for a cake. 0.225 kg butter 225 g sugar 225 g flour 0.2 kg eggs 250 g berries How much do the ingredien

viktelen [127]

Answer:

1125.

Step-by-step explanation:

I'm going to work out the answer is <u><em>grams</em></u>.

1kg = 1000g

0.225kg of butter = 225g, 225g of sugar, 225g of flour, 0.2kg of eggs = 200g, 250g of berries.

225 + 225 + 225 + 200 +250 = 1125.

Hope that helps. x

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2 years ago

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Find the midpoint of the line segment with the given endpoints<br> (4,-6), (9, 6)

kotegsom [21]

Answer:

I think it's number 5 or (5,8)

Step-by-step explanation:

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