3 years ago

How do you factor x4-x3-7x2-x+6?

1 answer:

5 0

$x^4-x^3-7x^2-x+6=x^4-x^3-6x^2-x^2-x+6=\\ \\=x^2(x^2-x-6)-(x^2-x-6)=(x^2-1)(x^2-x-6)=\\ \\=(x-1)(x+1)(x^2-3x+2x-6)=\\ \\=(x-1)(x+1)[x(x-3)+2(x-3)]=(x-1)(x+1)(x-3)(x+2)$

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If f(1) = 7 and f(n) = 5f (n − 1) then find the value of f(5).

nevsk [136]

Answer:

f(5) = 4375

Step-by-step explanation:

Given f(n) = 5f(n - 1) and f(1) = 7

This allows us to find the next term in the sequence from the previous term

f(2) = 5f(1) = 5 × 7 = 35

f(3) = 5f(2) = 5 × 35 = 175

f(4) = 5f(3) = 5 × 175 = 875

f(5) = 5f(4) = 5 × 875 = 4375

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3 years ago

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Marty is 54 years old, and his niece is 6. How many times older is Marty than his niece? Choose the answer that has the correct

vladimir1956 [14]

Answer: A) 6x = 54; x = 9 times older

Step-by-step explanation:

9 x 6 = 54

8 0

3 years ago

Geraldine is picking a four-digit password by using the digits 0 through 9. She can use each digit only once. How many different

BabaBlast [244]

Answer:

5040 different combinations

Step-by-step explanation:

0-9 = 10 numbers

1st digit can be 1 0f 10

2nd digit can be 1 of 9

3rd digit can be 1 of 8

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4 years ago

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A track team has 24 Students The ratio of females

Alex787 [66]

Answer:

There were 10 females and 14 males on the team.

Step-by-step explanation:

Step-1: Add the ratios.

5 + 7 = 12

Step-2: Divide it with the total number of students.

24 ÷ 12
=> 2

Step-3: Multiply.

5 x 2 = total females

7 x 2 = total males

=> 10 females
=> 14 males

Hence, there were 10 females and 14 males on the team.

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2 years ago

Parabola with vertex at (4, -2) and passes through the point (2, 10)

amid [387]

Answer:

x2-x1/y2-y1=2-4/10--2=2-4/10+2=-2/12

=-6

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4 years ago