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victus00 [196]
3 years ago
7

If-1 is a root of f), which of the following must be true?

Mathematics
1 answer:
ANEK [815]3 years ago
6 0

Answer:

A factor of f(x) is (x + 1).

Step-by-step explanation:

When we put x+1= 0 then we  get the value x= -1

This value is then put into the function to find out whether it is a root or not. For a root  to exist it must not have a remainder or the remainder must be zero.

Suppose the function is

F(x)= 2x³ - 42x - 40

f(-1)= 2(-1)³ - 42(-1) - 40

f(-1)= -2 + 42- 40

f(-1)= 0

This gives -1 as the root of the function.

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Find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). -5 with multiplicity 3 5 with multiplicity 3 -9
faust18 [17]

Answer:

  -5, multiplicity 3; +9, multiplicity 2; -1

Step-by-step explanation:

The roots of f(x) are those values of x that make the factors be zero. For a factor of x-a, the root is x=a, because a-a=0. If the factor appears n times, then the root has multiplicity n.

f(x) = (x+5)^3(x-9)^2(x+1) has roots ...

  • -5 with multiplicity 3
  • +9 with multiplicity 2
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4 0
3 years ago
Cary is 4 years older than Dan. In 7 years the sum of their ages will be 76
bekas [8.4K]

Ages of Dan and Cary are 29 and 33 respectively.

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

Step 1:

Form equations out of the given details. Let the age of Dan be x, then age of Cary is x + 4.

In 7 years, sum of their ages = 76

⇒ (x + 7) + (x + 4 + 7) = 76

⇒ 2x + 18 = 76

⇒ 2x = 58

⇒ x = 29

Step 2:

Calculate age of Cary.

⇒ x + 4 = 33

3 0
3 years ago
The coordinates of the vertices of trapezoid JKLM are J(2, −3) , K(6, −3) , L(4, −5) , and M(1, −5) . The coordinates of the ver
olga2289 [7]
This is your answer:
<span>Trapezoid JKLM is congruent to trapezoid J′K′L′M′ because you can map trapezoid JKLM to trapezoid J′K′L′M′ by reflecting it across the line y = x and then translating it 1 unit up, which is a sequence of rigid motions.</span>
4 0
3 years ago
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Solve for j<br> 9j=19+8j
charle [14.2K]

Answer: The answer would be j=19

6 0
3 years ago
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6
pshichka [43]

Answer:

47.4%

Step-by-step explanation:

It has to be below 50% because those weights fall at or below the average.

8 0
3 years ago
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