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devlian [24]
3 years ago
7

Evaluate the expression. Choose the best answer.

la1" title="8^P4" alt="8^P4" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
4 0
N P r = (n!)/((n-r)!)
8 P 4 = (8!)/((8-4)!)
8 P 4 = (8!)/(4!)
8 P 4 = (8*7*6*5*4!)/(4!)
8 P 4 = 8*7*6*5
8 P 4 = 1680

The final answer is 1680

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What is (3i-2/3)-(6i-5) in standard form
k0ka [10]

Answer:

13/3 -3i

Step-by-step explanation:

(3i-2/3)-(6i-5)

Distribute the minus sign

(3i-2/3)-6i+5

Combine like term

-2/3 +5  +3i - 6i

-2/3 +15/3   -3i

13/3 -3i

This is standard form

5 0
3 years ago
Factoring Trinomals (a=1)<br>b^2 + 8b + 7
yulyashka [42]
b^2+8b+7=b^2+b+7b+7=b(b+1)+7(b+1)\\\\=\boxed{(b+1)(b+7)}
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3 years ago
Question in the picture. PLS HELP!! THANKS + 30 POINTS + BRAINLIEST
Andrej [43]

Answer:

C.  Lincoln Forest is at sea level

Step-by-step explanation:

Elevation above sea level is indicated for several points in the table

Positive number indicates points <u>above</u>, negative number indicates points <u>below</u>, zero elevation indicated points <u>at </u>sea level

So, the answer for Lincoln Forest is:

  • C.  Lincoln Forest is at sea level
4 0
3 years ago
Find number a and k so that x-2 is afactor<br>OF F(x)=x4-2ax tax-<br>X+k and F(-1)=3​
Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

f(x)=x^4-2ax^3+ax^2- x+k

and

f(-1)=3

Answer:

k = -2 and a=1

Step-by-step explanation:

Given

f(x)=x^4-2ax^3+ax^2- x+k

Factor:\ x - 4

f(-1)=3

Required

Find a and k

For f(-1)=3

Substitute -1 for x

f(x)=x^4-2ax^3+ax^2- x+k

f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k

f(-1) = 1 - 2a *-1 + a*1 +1 + k

f(-1) = 1 +2a + a +1 + k

f(-1) = 2 +3a + k

Substitute 3 for f(-1)

3 = 2 +3a + k

Collect Like Terms

3 - 2 = 3a + k

1 = 3a + k

Also:

If x - 2 is a factor, then

f(2) = 0

Substitute 2 for x and 0 for f(x)

f(x)=x^4-2ax^3+ax^2- x+k

0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k

0 = 16 - 2a * 8 + a * 4 - 2 + k

0 = 16 - 16a + 4a - 2 + k

0 = 16 - 12a - 2 + k

Collect Like Terms

2 - 16 = - 12a + k

-14 = k - 12a

k = 12a - 14

Substitute 12a - 14 for k in 1 = 3a + k

1 = 3a + 12a - 14

1 = 15a - 14

Collect Like Terms

15a = 1 + 14

15a = 15

Solve for a

a = \frac{15}{15}

a=1

Substitute 1 for a in k = 12a - 14

k = 12 * 1 - 14

k = 12 - 14

k = -2

3 0
3 years ago
An engineering scale model shows a church that is 2 inches tall. If the scale is 1 inch = 265 feet, how tall is the actual churc
Nitella [24]
That would be 2 * 265  = 530 feet tall.
4 0
3 years ago
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