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3 years ago

Evaluate: 4! Make sure to show your steps.

Mathematics

2 answers:

sergeinik [125]3 years ago

7 0

Answer:

4! = 4 x 3 x 2 x 1

4! = 12 x 2 x 1

4! = 24 x 1

4! = 24

Let me know if this helps!

aalyn [17]3 years ago

5 0

Answer:

1024

Step-by-step explanation:

4! is just 4 x 4 x 4 x 4

4 x4 =16

16 x 4 =64

64 x 4=256

256 x 4=1024

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For 7 and 8, find the maximum or minimum point of the parabola

Leni [432]

Answer: 7) Max: y = 52

8) Min: y = -51

<u>Step-by-step explanation:</u>

The Max/Min is the y-value of the intercept.

Max is when the a-value is negative.
Min is when the a-value is positive.

First, find the x-value of the vertex using the Axis of Symmetry formula:

x = -b/2a. Then plug the x-value into the equation to find the y-value.

7) y = -2x² - 16x + 20

↓ ↓ ↓

a= -2 b= -16 c=20

$\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(-16)}{2(-2)}\quad =\dfrac{16}{-4}\quad =-4$

Max: y = -2(-4)² - 16(-4) + 20

= -2(16) + 64 + 20

= -32 + 84

= 52

*********************************************************************************************

7) y = x² + 12x - 15

↓ ↓ ↓

a= 1 b= 12 c= -15

$\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(12)}{2(1)}\quad =\dfrac{-12}{2}\quad =-6$

Max: y = (-6)² + 12(-6) - 15

= 36 - 72 - 15

= 36 - 87

= -51

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