MATHEMATICS HIGH SCHOOL

For the polynomial f(x)=(x^3)+(4x^2)-5x+6 use synthetic division to find f(-4)

Answers

Answer 1

Answer:

Answer:

The remainder is 26.

Please check the attached diagram below to see the remaining solution.

Step-by-step explanation:

To do this:

Take the constant term of the divisor with the opposite sign and write it to the left.

Write the coefficients of the dividend to the right.

Please check the attached diagram below to see the remaining solution.

Related Questions

What is the highest common factor of 60 and 96
One positive integer is 1 greater than 3 times another positive integer. If the product of the two integers is 154, then what is the sum of the two integers?
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Gracie Shay wants to buy a new Hummer in five years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now at a rate of 6% compounded semiannually, she:
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How many 5 digit numbers less than 47999 can be formed from the digits {1,2,3,4,5,6,7,8}, if repetition of the digits is allowed?

Answers

To determine the number of 5-digit numbers less than 47999 that can be formed from the given digits (1, 2, 3, 4, 5, 6, 7, 8), with repetition allowed, we can analyze each digit's possibilities.

For the first digit:
- The first digit can be any of the given digits (1, 2, 3, 4, 5, 6, 7, 8) except for 0, since we want the number to be less than 47999. So there are 8 options for the first digit.

For the remaining four digits:
- Each of these digits can be any of the given digits (0, 1, 2, 3, 4, 5, 6, 7, 8), since repetition is allowed. So there are 9 options for each of the remaining four digits.

Therefore, the total number of 5-digit numbers that can be formed is:
8 * 9 * 9 * 9 * 9 = 52,488

Please help me as soon as u can!!

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Answers

Q2 Answer: Experimental = 60%, difference = 10%

Step-by-step explanation:

The prime numbers between 1 and 8 are: 2, 3, 5, and 7.

Theoretical: $(4(prime))/(8(total)) = 50\%$

Experimental: $(12(prime))/(20(total)) = 60\%$

Experimental - Theoretical

= 60% - 50%

= 10%

Problem 1

To find the sample mean, we simply add up all the 40 items and then divide by 40

I will add up the values row by row, and then add up the subtotals to get the grand total

row1: 39+31+38+40+29 = 177

row2: 32+33+39+35+32 = 171

row3: 32+27+30+31+27 = 147

row4: 30+29+34+36+25 = 154

row5: 30+32+38+35+40 = 175

row6: 29+32+31+26+26 = 144

row7: 32+26+30+40+32 = 160

row8: 39+37+25+29+34 = 164

Add up the subtotals: 177+171+147+154+175+144+160+164 = 1292

Divide this over 40: 1292/40 = 32.2

So the sample mean is therefore 32.2

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To find the proportion of defective items, we count the number of times a value less than 26 shows up. That happens exactly two times. The first in row 4 (at the end of this row) is where a 25 shows up. Another copy of 25 shows up in row 8 (bottom row). There are no other values that are less than 26.

Divide this count (2) over the total sample size (40) and we get 2/40 = 1/20 = 0.05

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In summary, 32.2 will go in the first box while 0.05 will go in the second box.

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Problem 2

There are 4 values we want (2,3,5,7) out of 8 total (1,2,3,4,5,6,7,8) so 4/8 = 0.50 = 50% is the theoretical probability

This is the list of values given to us (I broke it up to help make the numbers more readable)

3, 4, 5, 2, 7

1, 3, 7, 2, 6

2, 1, 7, 3, 6

1, 8, 3, 5, 6

Of that list, the primes {3, 5, 2, 7, 3, 7, 2, 2, 7, 3, 3, 5} show up. There are 12 primes in this list out of 20. So the experimental probability is 12/20 = 3/5 = 0.60 = 60%

Therefore, the answer that goes in the "experimental probability" box is 60. The answer that goes in the second box is not 50%. I think your teacher is aiming for "10" to go in the second box because 60% is 10 percentage points higher than 50% (which was the theoretical probability found earlier)

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In summary, 60 will go in the first box while 10 will go in the second box.

The function f(x) = –(x – 20)(x – 100) represents a company’s monthly profit as a function of x, the number of purchase orders received. Which number of purchase orders will generate the greatest profit?20
60
80
100

Answers

Let us solve the following problem by substituting each value with x.

FIRST CHOICE
f(x) = -(20-20)(20-100)
= -(0)(-80)
= 0

SECOND CHOICE
f(x) = -(60-20)(60-100)
= -(40)(-40)
= -(-160)
= 160

THIRD CHOICE
f(x) = -(80-20)(80-100)
= -(60)(-20)
= -(-120)
= 120

LAST CHOICE
f(x) = -(100-20)(100-100)
= -(80)(0)
=0

The answers yielded 0, 160, 120, and 0, respectively.
Thus, the answer is 60.

Answer:

The answer is 60

Step-by-step explanation:

because when you plug in these numbers to the x, 60 is the greatest one.

Which of the following equations shows "twice a number is eighteen?"

Answers

I don't see the answer choices, but 2 equations you could use to get eighteen would be:

9 × 2 = 18

9 + 9 = 18

See? Twice a number is eighteen. You can use any of my equations to get eighteen

↑ ↑ ↑ Hope this helps! :D

You earn 21.00 per hour at your job if you get a 9% raise at the end of each year what wil your hourly rate be after 5 years

Answers

At the end of 5 years, you will get a 9.45 dollar raise

21.00*.09=1.89
1.89*5=9.45

so 21.00+9.45= 30.45

Year 1 $22.89
Year 2 $24.95
Year 3 $27.20
Year 4 $29.65
Year 5 $32.32

Describe the translation of the graph of y = x2 that results in the graph of y = (x - 3)2. left 3 units
right 3 units
down 3 units
up 3 units

Answers

Answer:

Shift right by 3 units.

Second option is correct.

Step-by-step explanation:

The parent function is given by $y=x^2$

The translated function is $y=(x-3)^2$

The transformation rule is:

When we subtract some constant "c" to the x values of the function f(x) then the graph will shift right by "c" units. And the transformation function would be f(x-c).

Now, here 3 is subtracted in the x value of the parent function $y=x^2$ to get the function $y=(x-3)^2$

Therefore, the graph of the transformation function would shift right by 3 units.

We can see it in the attached graph as well. The vertex of the parabola $y=x^2$ is at (0,0) and the vertex of the parabola $y=(x-3)^2$ is at (3,0).

It means that graph has shifted 3 units to the right.

Second option is correct.

Right 3 units is right out of the options given

Other Questions

9. Find the diagonal of a square with perimeter 28 meters.

Is 6/8 greater than 6/7

A) Draw a number line from 0 to 2. Then draw and label the points 2 and 0.2. B) use the number line to explain why 2 is 10 times the value of 0.2

Which problem is equivalent to 12/18A18 ÷ 12B12 ÷ 18C12 x 18D12 x 12 x 18