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alisha [4.7K]
3 years ago
8

Add the two expressions

Mathematics
1 answer:
Fiesta28 [93]3 years ago
3 0
Well the correct answer is -2x-3 then

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PLEASE HELP <br><br> I am confused on these equations
mamaluj [8]

Answer:

See below.

Step-by-step explanation:

I'll show you step by step how to do the synthetic division.

You are dividing polynomial -6x^4 + 22x^3 + 3x^2 + 15x + 20 by x - 4.

From the polynomial, you only need the coefficients in descending order of degree as they are written.

         -6    22    3    15    20

In synthetic division, you divide by x - b. You are dividing by x - 4, so b = 4.

The 4 is written to the left of the coefficients of the polynomial.

      ___________________

4   |       -6    22    3    15    20

      ___________________

This is what the setup looks like. You can see it in the problem you were given.

The first step is to just copy the leftmost coefficient straight down to below the line.

      ___________________

4   |       -6    22    3    15    20

      ___________________

             -6

Now multiply b, which is 4, by -6 and write it above and to the right.

     ___________________

4   |       -6    22    3    15    20

                    -24

      ___________________

            -6

Add 22 and -24 and write it next to -6.

     ___________________

4   |       -6    22    3    15    20

                    -24

      ___________________

             -6     -2

Multiply 4 by -2 and write it above and to the right. Add vertically.

     ___________________

4   |       -6    22     3    15    20

                    -24   -8

      ___________________

             -6     -2    -5

Multiply 4 by -5 and write it above and to the right. Add vertically.

     ___________________

4  |       -6    22     3    15    20

                    -24   -8   -10

      ___________________

             -6     -2    -5   -5

Multiply 4 by -5 and write it above and to the right. Add vertically.

     ___________________

4   |       -6    22     3    15    20

                    -24   -8   -10   -20

      ___________________

             -6     -2    -5   -5      0

The 4 numbers in the second line are the coefficients of the quotient.

The quotient is 1 degree less than the original polynomial.

The quotient is: -24x^3 - 8x^2 - 10x - 20

The last number on the third line is the remainder. Since here the reminder is zero, that means that this division has no remainder. The remainder is 0/(x - 4)

Fill in the boxes with:

-24, -8, -10, -20

-6, -2, -5, -5, 0

-24x^3 - 8x^2 - 10x - 20

0

6 0
3 years ago
Which algebraic expression is equivalent to the expression below 6 parentheses 2x + 7 parentheses -5
Inga [223]
If I understand this, you have the equation 6(2x+7)-5. This is equal to 12x+37. Hope this helps.   
8 0
3 years ago
One pound of shrimp costs $6.00. How much does 7/8 pound of shrimp cost?
professor190 [17]
$5.25, because if you multiply $6 by 7/8(fraction form), you get $5.25
7 0
2 years ago
Read 2 more answers
The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to det
Maru [420]

Answer:

0.077994

Step-by-step explanation:

Given that the owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.

H_0: Mean = 30\\H_a: Mean >30

(Right tailed test)

Sample size = n=250

Sample mean = 30.45

Mean difference =30.45-30=0.45\\

Sample std dev s = 5

Sample std error = \frac{5}{\sqrt{n} } =\frac{5}{\sqrt{250} } \\=0.3163

Test statistic = Mean diff/std error = =\frac{0.45}{0.3163} =1.423

Since population std deviation is not know we use t test

p value = 0.077994

4 0
3 years ago
Without doing any calculations, how can you use the given information to tell which animal mo the fastest? The moves much th mov
erik [133]
You can tell which animal is faster by pacing
8 0
3 years ago
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