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SIZIF [17.4K]
3 years ago
14

Evaluate. 2 -2 4 undefined

Mathematics
1 answer:
LiRa [457]3 years ago
8 0

Answer:

2

Step-by-step explanation:

We have to get the value of the expression of - ∛(- 8).

Now, we can write the expression as  

- ∛(- 8)  

=-\sqrt[3]{-8}

= -(-8)^{\frac{1}{3} } {Converting into exponent form}

= -[(-2)^{3} ]^{\frac{1 }{3} } {Since (- 2) × (- 2) × (- 2) = - 8}

= - [(-2)^{3\times \frac{1}{3} } ]{Since we know that  [x^{a}] ^{b} = x^{ab}}

= - [- 2]

= 2 (Answer)

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100 Points!
tester [92]

Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)

To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.

4x^2 - 7x - 15 = 0

4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7

4x^2 - 12x + 5x - 15 = 0

4x(x - 3) + 5(x - 3) = 0

(4x + 5)(x - 3) = 0

4x + 5 = 0

x = -5/4

x - 3 = 0

x = 3

Part B: minimum, (7/8, -289/16)

The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.

To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.

b = -7

a = 4

x = -(-7) / 2(4) = 7/8

Now that we know the x-value, we can plug it into the function and solve for the y-value.

y = 4(7/8)^2 - 7(7/8) - 15

y = 4(49/64) - 49/8 - 15

y = 196/64 - 392/64 - 960/64

y = -1156/64 = -289/16 = -18 1/16

Part C:

First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.

Hope this helps!

6 0
2 years ago
Find the perimeter and are of the trapezoid
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Answer:

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Step-by-step explanation:

12.8ft+6.2ft+13.9ft+15.5ft=47.7ft

8 0
1 year ago
There are 10 roller coasters at 6 flags, and you only have time to ride 3 before the park closes. How many different ways can yo
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Answer:

  120

Step-by-step explanation:

If order doesn't matter, there are 10 ways to chose the first ride, 9 ways to choose the second, and 8 ways to choose the third. This product (720) has you riding the same 3 coasters in 6 different orders. Dividing by 6 gives ...

  720/6 = 120 different combinations of roller coasters

_____

This number might be written as 10C3 (choose 3 from 10). The meaning of that notation is ...

  nCk = n!/(k!(n-k)!)

  10C3 = 10!/(3!·7!) = 10·9·8/(3·2·1) = 120

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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