Roberto receives an employee discount for 12%. If he buys a $355 item at the store, what would his discount be?

Mathematics

1 answer:

san4es73 [151]4 years ago

6 0

.12 * $355 = $42.60. That is his discount.

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You roll a number cube. What is the probability that you roll an even number or a number less than 5?

NISA [10]

Let’s first see the probability of landing an even number. We have 6 sides, and 3 are labeled with an even number. So our chances of rolling a number cube are 3/6 (or 1/2 when simplified).

Next, the probability of rolling a number less then five is 4/6 (or 2/3 simplified), since we have 4 sides labeled with a number less than 5.

To compute two or more probabilities, we multiply them. In this case, the fractions already share the same denominator, 6 (because it’s a cube with 6 sides). So we get:

3/6 * 4/6

We then square 6, which is 36, and multiply 3 by 4, which is 12. This gives us 12/36, which is 1/3 in simplified form.

So there’s out answer: 1/3.

7 0

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Use the parabola tool to graph the quadratic function f(x)=−12x2+7. Graph the parabola by first plotting its vertex and then plo

Fudgin [204]

First we find the vertex of parabola $f(x)=-12 x^{2} +7$

The vertex of parabola is $( \frac{-b}{2a},f( \frac{-b}{2a}))$
Here,
b = coefficient of x term
a = coefficient of x² term

For given parabola, b = 0 , a = -12

So,
$\frac{-b}{2a}= \frac{0}{-24} =0$

And,

$f( \frac{-b}{2a} )=f(0) = -12(0)+7=7$

Thus the vertex of parabola is (0, 7)

To find another point on parabola, substitute x by 1.

$f(1)=-12( 1^{2}) +7=-12+7=-5$

So the second point on parabola is (1,-5)

The plot of parabola is shown in image below: