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son4ous [18]
3 years ago
5

What is the value of the expression 8p4

Mathematics
1 answer:
Nady [450]3 years ago
3 0

ANSWER

8P_4 = 1680

EXPLANATION

We use the formula

nP_r =  \frac{n!}{(n - r)!}

For

8P_4

and n=8, r=4.

8P_4=  \frac{8!}{(8- 4)!}

This simplifies to

8P_4=  \frac{8!}{4!}

We expand the numerator using factorial notation,

8P_4=  \frac{8 \times 7 \times 6 \times 5  \times 4!}{4!}

The common factors cancel out.

8P_4=  8 \times 7 \times 6 \times 5

8P_4= 1680

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8 0
3 years ago
Determine the equation of each line with the following properties:
iris [78.8K]

Answer:

a) y =2/3 x + 7.

b) x = -1

c) y = -4/5 x - 1/5

d) y = -3/2 x + 5/2.

Step-by-step explanation:

a) Intercept form y = mx + b where m = 2/3 and  b = 7

b) y can take any value but x is always -1.

c) Slope m = (-1-3)/ (1 - -4)

= -4/5

Using point-slope form where m = -4/5 and x1 y1 = 1 , -1:

y - y1 = m(x - x1)

y - -1 = -4/5(x - 1)

y + 1 = -4/5x + 4/5

y = -4/5 x - 1/5

d)  The slope m of the line perpendicular to this line is:

-1 / 2/3

m = -3/2.

When x = -1 , y = 4 so using the slope intercept form of a line

y = mx + b

4 = -3/2 * -1 + b  where b = the y-intercept.

4 = 3/2 + b

b = 4 - 3/2 = 5/2.

The equation is  y = -3/2 x + 5/2.

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Answer:

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Step-by-step explanation:

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3 years ago
What is the answer to 18x-(8x-7)=67
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Check Your Work

18(6)-48+7=67

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Hope this helps...

7 0
3 years ago
Read 2 more answers
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