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uysha [10]
3 years ago
10

Given f(x) = 21 - 1, complete the missing values in the table

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0

Answer:

first one is f(x)=-5

second one is f(x)=7

third one is x=-3

4th one is x=0

5th one is f(x)=1

6th one is x=-4

Step-by-step explanation:

first one. plug in x as -2:

f(x)=2*-2-1=-4-1=-5

second one is the same way:

f(x)=4*2-1=8-1=7

third one is a different one:

2x-1=-7

2x=-6

x=-3

4th one is the same way:

2x-1=-1

2x=0

x=0

5th way is the same thing as previous:

f(x)=2*1-1=2-1=1

Finally, the 6th one is the same thing as the 4th one:

2x-1=-9

2x=-8

x=-4

Done!

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Find the difference and reduce to the lowest terms 12 4/9 - 8 5/6 =
butalik [34]

Answer: 3\frac{11}{18}

<u>Turn 12 4/9 into an Improper Fraction</u>

Multiply 12*9 and get 108. Now add 4 and get 112.

12\frac{4}{9} =\frac{112}{9}

<u>Turn 8 5/6 into an Improper Fraction</u>

Multiply 8*6 and get 48. Now add 5 and get  53.

8\frac{5}{6} =53/6

<u>Find Common Denominator</u>

9: 9,18,27,36,45\\6: 6,12,18,24,30\\\CD=18

Your new problem: \frac{112}{18}-\frac{53}{18}

<u>Subtract</u>

<u></u>\frac{112}{18}-\frac{53}{18}=\frac{65}{18}<u></u>

<u></u>

<u>Simplify</u>

<u></u>\frac{65}{18} =3\frac{11}{18}<u></u>

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The polynomial p(x)=7^3-7x-6 has a known factor of (x+1) rewrite p(x) as a product of linear functions
san4es73 [151]

Answer:

p(x)=(x+1)(x+2)(x-3).

Step-by-step explanation:

Note: The given function is not correct.

Consider the given polynomial is

p(x)=x^3-7x-6

It is given that (x+1) is a factor of given function.

Using synthetic division, divide P(x) by (x+1) as shown below.

-1  |     1      0     -7      -6

    |           -1       1       6

--------------------------------------

        1       -1      -6       0

--------------------------------------

Bottom line represents the coefficients of quotient except the last element because it is remainder. So, the given function can be written as

p(x)=(x+1)(x^2-x-6)

p(x)=(x+1)(x^2-3x+2x-6)

p(x)=(x+1)(x(x-3)+2(x-3))

p(x)=(x+1)(x+2)(x-3)

Therefore, the function as a product of linear functions is p(x)=(x+1)(x+2)(x-3).

7 0
3 years ago
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Replace a and b with the given values:

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7 0
4 years ago
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