Long division was used here to divide the polynomial function p(x) = x3 + 7x2 - 20x -110 by (x - 5) and to divide it by (x + 5).



Using the information given above, p(-5) =

Answers

Answer 1

The value of the polynomial function at p(-5) is 40.

A polynomial is an expression that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables and is made up of indeterminates (also known as coefficients) and these operations.

In an equation such as the cubic equation, quadratic equation,  etc., a polynomial function is a function that only uses positive integer powers or only positive integer exponents of a variable.A polynomial expression is one that can be created from variables and other constants and symbols by adding, multiplying, and raising it to a non-negative integer power. The constants, which represent mathematical objects that can be added to and multiplied, are often numbers, but they can also be any expression that does not contain the indeterminates.

The given polynomial function is:

p(x) = x³ + 7x² - 20x -110

or, p(-5) = (-5)³ + 7(-5)² - 20(-5) -110

or,  p(-5) = -125 + 175 + 100 - 110

or,  p(-5) = 40

So the value of the polynomial function is 40.

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Related Questions

what is 2/5 ➗ 3 1/10?​

Answers

Answer:

[tex]\frac{4}{31}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] ÷ [tex]3\frac{1}{10}[/tex]

= [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{31}{10}[/tex]

= [tex]\frac{2}{5}[/tex] × [tex]\frac{10}{31}[/tex]

= [tex]\frac{4}{31}[/tex]

Answer:

Exact Form:

[tex]\frac{4}{31}[/tex]

Decimal Form:

0.129032258....

Hope this helps! :)

How many miles is C streets?

Answers

Answer:

10

Step-by-step explanation:

I got it right

What is an equation of the line that passes through the point (-2,7) and is perpendicular to the line x-4y=24

Answers

Answer:

y = -4x - 1

Step-by-step explanation:

x - 4y = 24

-4y = -x + 24

y = [tex]\frac{1}{4}[/tex]x - 6

m⊥ = -4

y = -4x + b

7 = -4 ( -2 ) + b

7 = 8 + b

b = -1

y = -4x - 1

Question 7 of 55 Andres plays a soccer video game. He earns 3 stars for every goal he scores and loses star every time he misses the goal. He scores 5 goals and misses the goal 4 times. How many stars does he have? A. 18 B. 3 C. 15 D. 12​

Answers

Answer:

d

Step-by-step explanation:

Tonya is saving money to buy a computer
that costs $375. She has $75 saved, and
each week she adds $25 to her savings.
How many weeks will it take her to save
enough money to buy the computer?

Answers

Answer:

12

Step-by-step explanation:

300 - 75=300

300÷25=12

12 weeks

3. Taka Barrow purchased fishing gear from a store in Illinois, where the tax rate is 6.25%. She purchased a spinning combo rod and reel for $59.99, 4 spinner baits at $5.49 each, 3 lures for $3.89 each, and a landing net for $24.99 a. What is the total selling price?' b. What is the sales tax?​

Answers

Answer:

a.126.023125

b.7.413135

Step-by-step explanation:

a. ((59.99)+(4*5.49)+(3*3.89)+(24.99))*1.0625(sales tax)

118.61*1.0625

126.023125 final price

b. final price-price before tax.

126.023125-118.61

7.413135

HELP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

A

Step-by-step explanation:

a is the answer i believe

Use the point-slope formula below to write an equation of a line passing
through (1, -3) that is parallel to the line y = –2x + 5. Make sure your
final answer is in slope-intercept (y=mx+b) form.

Answers

Step-by-step explanation:

x intercepts = (5/2, 0)

y intercepts = (0,5)

slope = -2

the line y = -2x-5 has a slope of -2 and parallel lines have the same slope

y + 3 = -2( x-1)

y + 3 = -2x + 2

answer: y = -2x -1

I need help finding the midpoint ​

Answers

0,3 or 3,0 is the answer

Answer:

(0,3)

Step-by-step explanation:

This is the middle of the graph.

Have a great day!!

math work plssssss help

Answers

Answer:

25

Step-by-step explanation:

Tyler's mom purchased a savings bond for Tyler. One year after it was purchased, the value of the savings bond was $156. If the value of the savings bond increases by 4% after one year, what was the value of the bond when Tyler's mom purchased it?]

Answers

Answer:

$149.76

Step-by-step explanation:

5 small bucket and 2 large bucket of water make 20 liter.three small bucket and 2 large bucket make only 18 liter.how much water each bucket hold?​

Answers

9514 1404 393

Answer:

  small: 1 liter; large: 7.5 liters

Step-by-step explanation:

The difference between the two sets of buckets is 2 small buckets and 2 liters. Hence we know that a small bucket is 1 liter.

Then 5 small buckets contribute 5 liters to the 20-liter total. The remaining 15 liters comes from 2 large buckets, so each of those is 7.5 liters.

Large bucket: 7.5 liters

Small bucket: 1 liter

How many distinct positive integer factors does 60 have?

Bonus (For Brainliest): how many perfect squares are between 1600 and 3600?

Answers

The number of distinct positive integer factors that 60 has will be 12.

The perfect squares that are between 1600 and 3600 will be 19.

How to calculate the value?

It should be noted that the factors of 60 include 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60. Therefore, the factors are 12.

It should be noted that the perfect squares that are between 1600 and 3600 will be 19.

They're the numbers from 41 to 59. They are 19.

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What value of x will make x to the 2 =9 true
A. 3
B. 3 and -3
C. 81 and -81
D. Square root 3

Answers

B.

Both 3x3 and -3x-3 both equal 9 don’t be fooled by the negative. Remember that a negative times a negative always makes a positive.

Simplify (3.8 × 10−9) − (7.4 × 10−8). Write the final answer in scientific notation.

Answers

7.02 x 10-8 is in scientific notation

Answer: -7.02x10⁻⁸

Step-by-step explanation:

(3.8x10⁻⁹)-(7,4x10⁻⁸)=

10⁻⁹(3.8x10⁻⁹⁻⁽⁻⁹⁾-7.4x10⁻⁸⁻⁽⁻⁹⁾=

10⁻⁹(3.8x10⁻⁹⁺⁹-7.4x10⁻⁸⁺⁹)=

10⁻⁹(3.8x10⁰-7.4x10¹)=

10⁻⁹(3.8x1-7,4x10)=

10⁻⁹(3.8-74)=

-70.2x10⁻⁹=

-7.02x10⁻⁸

PLEASE HURRY!! Which expression is equivalent to 4(x+2)?
A)вх
B)4(x)+4(2)
C)4(x)+4
D)8x

Answers

Answer:

B

Step-by-Step Explanation:

Its B because 4(x)+4(2) is 4(x+2)

am i right??? if not pls help

Answers

Answer:

Ya I think your right

Step-by-step explanation:

In ten years the average number of hours of TV watched per week dropped from 23.9 to 21.4. Find the percent of change. Round to the nearest tenth of a percent

Answers

Answer:

I think its 10.5

Step-by-step explanation:

Find the number in the tenth place

1 and look one place to the right for the rounding digit 0. Round up if this number is greater than or equal to

5 and round down if it is less than

5.0.1

help me out it would mean so much!

Answers

Answer D is correct. The lines are perpendicular on a graph.

The model represents an equation.

What is the solution for this equation?
A x = 3
B x = 15
C x = 5
D x = 1

Answers

we need like a picture to see what it’s talking about

Tomas rides his bike at a steady rate of 4 miles every 24 minutes. Graph the situation. Find the unit rate of this proportional relationship. Express the unit rate as a simplified fraction, if necessary.

Answers

Answer:

24 divided by 4=6

Step-by-step explanation:

24/4=6/1=6

Given thatAB bisects value of x if

Answers

Check the picture below.

What is the slope of the line in the graph?

Answers

Answer:

the answer is 3 and -4 because of rise and run

44 - (3c + 4) = 2(c + 5) + c

Answers

Answer:

19/3

Step-by-step explanation:

44 - 3c + 4 = 2c + 10 + c

-2c - 3c -c = - 44 - 4 + 10

-6c = -38

c = 6/1/3 or 19/3

Answer : 5

Process : up up

A circle with circumference of 10 has area of 100.

Answers

Answer:

10 lol so esay

Step-by-step explanation:

I have 2 solutions:

1. Circumference of a circle:

C = 2 r π  

10 = 2 r π

r = 10 / 2π = 5 / π

Area of a circle:

A = r² π = ( 5 / π )² * π = 25 / π² * π = 25 / π ≠ 100

Answer: False.

Brainliest? Thanks!

Neil has partially full cans of white paint. They contain 1/3 gallon,1/5 gallon ,and 1/2 gallon of paint. About how much paint does Neil have in all ?

Answers

Answer:

31/30 cans of paint

Step-by-step explanation:

We must find a common denominator to add all of these fractions together. We notice that 3 x 5 x 2 = 30. So 10/30 + 6/30 + 15/30 = 31/30 cans of paint

You invest ​$2,500 in each of two accounts. Account A earns simple interest at a rate of ​2% over 4 years. Account B earns simple interest at a rate of ​6% over 18 months. Find the interest earned by each account. How does the interest earned by the two accounts​ compare? Use paper and pencil. Give an example of two principal amounts and two simple interest rates that would earn equal amounts of interest in one year. Give an example of two principal amounts and two periods of time for which the simple interest earned at ​2.42% would be equal

Answers

Answer: See explanation

Step-by-step explanation:

You invest ​$2,500 in each of two accounts. Account A earns simple interest at a rate of ​2% over 4 years.

Interest = PRT / 100

= (2500 × 2 × 4) / 100

= 20000 / 100

= $200

Account B earns simple interest at a rate of ​6% over 18 months.

Interest = PRT / 100

= (2500 × 6 × 1.5) / 100

= 22500 / 100

= $225

Interest for account B is more than that of account A at a shorter period of time.

An example of two principal amounts and two simple interest rates that would earn equal amounts of interest in one year will be:

A: Principal = $2000

Interest rate = 3%

Simple interest = (2000 × 3 × 1)/100 = $60

B. Principal = $3000

Interest rate = 2%

Simple interest = (3000 × 2 × 1) / 100

= 6000 / 100

= $60

An ice cream shop offers 3 ice cream flavors and 3 types of syrup,and 2 toppings for sundaes . How many different ways are there to make a sundae with one ice cream flavor, one type of syrup, and one topping.

Answers

Given:

Types of ice cream = 3

Types of syrup = 3

Toppings for sundaes = 2

To find:

The number of difference ways to make a sundae with one ice cream flavor, one type of syrup, and one topping.

Solution:

We have,

Total number of ways to select 1 form 3 ice cream flavor = 3 ways

Total number of ways to select 1 form 3 syrup = 3 ways

Total number of ways to select 1 form 2 toppings = 2 ways

Now, the total number of ways is

[tex]\text{Total ways}=3\times 3\times 2[/tex]

[tex]\text{Total ways}=18[/tex]

Therefore, the total number of difference ways to make a sundae with one ice cream flavor, one type of syrup, and one topping is 18.

Show instructions
Question 24 of 30 Page 24 of 3
Question 24
The temperature at 6:00 A.M. was 58° Fahrenheit. The
temperature increased at a constant rate of 3° Fahrenheit
every hour until 10:00 A.M. The equation below models t as
a function of h where 1 is the temperature and h is the
number of hours.
t = 58 + 3h
Which set represents the range of this function?
{h:0 Sh S 12)
{1:0 SIS 70)
{h:0 shs 4)
11:58 SIS 70)

Answers

Answer:

show pic

Step-by-step explanation:

cant see work, attached qork

The sum of three consecutive even numbers is 582. What is the 1st number?

Answers

Answer:

192

Step-by-step explanation:

Answer: The first number is 192 .

Step-by-step explanation:

Let the three consecutive even numbers

be x , x+2 and x +4 .  

Their sum = 582

x + (x+2) + (x+4) = 582  

x + x +2 + x +4 = 582

3x + 6 = 582

3x = 582 - 6

3x = 576

x =  

x = 192

First number = 192

Second number = 192 + 2 = 194

Third number = 192 + 4 = 196

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