Can someone please check my answer? I really need help with this

Can Someone Please Check My Answer? I Really Need Help With This

Answers

Answer 1

Answer:

a = – 8

Step-by-step explanation:

From the question:

When P(x) = 2x³ – ax² + 4x – 4 is divided by x – 1, it gives a reminder of 10.

To obtain the value of a, we shall equate x – 1 to 0 as illustrated below:

x – 1 = 0

x = 0 + 1

x = 1

Next, we shall substitute the value of x into 2x³ – ax² + 4x – 4 and equating it to 10 as illustrated below:

2x³ – ax² + 4x – 4 = 10

x = 1

2(1)³ – a(1)² + 4(1) – 4 = 10

2 – a + 4 – 4 = 10

2 – a = 10

Collect like terms

– a = 10 – 2

– a = 8

Divide through by –1

a = – 8

Therefore, the value of a is –8.


Related Questions

What is the image of the point (4,7) after a reflection about the line y = 4.?

Answers

Answer:

(4, 1)

Step-by-step explanation:

See attachment courtesy of Desmos.

Geometry, please answer question ASAP

Answers

Answer:

D

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle, that is

perimeter = 20 + 13 + 21 = 54 → D

What is the square root of 100?


Answers

Answer:

10

Step-by-step explanation:

Square root of 100 is 10

Answer:

10

Step-by-step explanation:

The square root of 100 is written as 2√100=√100=±10.

So it is 10.  Also, 10 times 10 equals 100, so it checks out.

A square root is just two of the same numbers added together to equal a specific number.

Luis, Diego, and Cecil are going fishing.
Luis brings 4 cans of worms. Diego brings
3 cans of worms plus 2 extra worms. Cecil
brings 2 cans of worms. If they have a
total of 65 worms and each can contains
the same number of worms, how
many worms are in each can?

Answers

Answer:

7

Step-by-step explanation:

If we call the number of worms in a can x, we can write:

4x + 3x + 2 + 2x = 65

9x + 2 = 65

9x = 63

x = 7 worms

Find the term of each sequence.

32, 80, 200, ...5th term

Answers

Answer:

t5 = 1250

Step-by-step explanation:

Each term is derived by multiplying the previous term by 2.5

t2 = t1 * 2.5

t2 = 32 * 2.5

t2 = 80

===========

tn = a*b^(n - 1)

t3 = 32*2.5^2

t3 = 200

That's just to test the formula. It does work.

===============

t5 = 32*2.5^(5 -1)

t5 = 32*2.5^4

t5 = 1250

Help me please and thank you

Answers

Answer:

Below

Step-by-step explanation:

The domain tells you if there are any restrictions on the x's

The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!

So, the domain of this function is x >/ 5

Hope this helps!

2c+17.6 =6 / 4 SOLVE give your answer as a decimal get brainly

Answers

Answer:

-8.05

Step-by-step explanation:

In order to solve for C you first have to subtract 17.6 from both sides.

2c=(6/4)-17.6

6/4 is 1.5

1.5-17.6=-16.1

2c=-16.1

c=-8.05

Answer:

1.5

Step-by-step explanation:

2c+17.6=6/4

2c+176/10=6/4

2c+88/5=6/4

2c=6/4-88/5

2c=30-352/20

2c=-322/20

2c=-161/10

c=-8.05

Proof:

2c+17.6=6/4

2(-8.05)+17.6=6/4

-16.1+17.6=6/4

1.5=1.5

Hope this helps ;) ❤❤❤

3-2(x-1)=2+4x
How do you solve

Answers

Answer:

x = 1/2

Step-by-step explanation:

3 - 2(x - 1) = 2 + 4x

3 - 2x + 2 = 2 + 4x

-2x + 5 = 2 + 4x

-2x - 4x = 2 - 5

-6x = -3

x = -3/-6

x = 1/2

You would multiply the negative two by x then the negative to by negative one then you would get 3-2x+2=2+4x then you would ad 2 x to 4x and get 6x the. Subtract 3-2 and you would get 1 the. You would subtract the 2 from the 1 and get -1 and you would get -1=6x so you would divide 6x and 1 and you would get x=-1/6 ( hope this helps)

why is gravitational force between two object usually unnoticeable​

Answers

Answer:

gravitational attraction is based upon mass.More the mass more the force.When the object is as big as a moon it has a very less gravity.When we are talking about small objects like 2 pencils the force exists but is so weak that no noticabke movement takes place

Answer:

To notice that force, the objects have to have a big mass and be close to each others.

Generally in eveydays life, you don't notice this force since it is weak but that doesn't mean it does't exist.

If you go the space, you can notice this force since planets have big mass. If you get close to the gravitational field of a planet, you will feel a force that is pulling you toward the planet.

Andrew rents rooms in his hotel for an average of $97 per night. The variable cost per rented room is $36. His fixed costs are $52,000 per month. How many rooms does he have to rent per month in order to break even?

Answers

Answer:

853 rooms

Step-by-step explanation:

If someone just opens the door with the intent to stay, Andrew has variable costs to pay which come off the 97 dollars. So his actual profit is 97 - 36 = 61 dollars. So how many rooms in total does he have to rent?

52000 / 61 = 853 rounded.

Is this realistic? The average month has 30 days

853 / 30 = 29 rooms rounded

Each room of 29 would have to be rented every night. I would say he better sell the hotel and go into something else.

Halla el valor de x :
•27/x = x/3

Answers

Answer:

x = 9

Step-by-step explanation:

27/x = x/3

Multiplica 3 por 27

Answer: 81

Multiplica x por x

Answer: x^2
*******************
x^2 = 81

9^2 = 81

81 = 81

Me ajudem
1- a) 5 ( x – 1) = 30
b) 3 (x + 10 ) – 2 ( x – 5 ) = 0

Answers

Answer:

a)7, b)-40

Step-by-step explanation:

a) 5(x-1)=30

=>5x -5=30

=>5x=30+5

=>5x=35

=>x=35/5

so, x=7

b)3(x+10)-2(x-5)=0

=>3x+30-2x+10=0

=>x+40=0

so,x=-40

3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.

Answers

Answer:

35

Step-by-step explanation:

3x2=6

or if x is variable :18

2x3=6

2x3=6

+5

add them all up:

18+6+6+5=35

let me know if something is confusing.

please answer the following question(math question)
don't spam​

Answers

Answer:

well hlo again ( ˘ ³˘)♥ (◍•ᴗ•◍)❤

Amazon is sold at rupees 99000 after 10% discount and 10% bat on the Marked price find the discount amount and vat amount​

Answers

Answer:

Here,

SP with VAT = Rs. 99000

Discount = 10%

VAT = 10%

Discount Amount =?

VAT Amount = ?

We know,

SP = "100" /"100 + v% "  × SP with VAT    

 = "100" /"100 + 10 "  × 99000    

= "100" /"110 "  × 99000      

= Rs. 90000 ∴   VAT Amount = SP with VAT – SP    

= Rs. 99000 – 90000    

= Rs. 9000 Again,  MP = "100" /"100 – d% "  × SP      

=  "100" /"100 – 10 "  × 90000      

=  "100" /"90"  × 90000      

= Rs. 100000

∴   Discount Amount = MP – SP          

= Rs. 100000 – 90000          

= Rs. 10000

Step-by-step explanation:

Here is the list of all formulas on MP, Discount, SP, and VAT.

1. Discount Amount = Discount % of MP    

2. Discount % = (Discount Amount)/MP  ×100%      

3. SP = MP – Discount Amount    

4. SP = (100 - d%)/(100 )  × MP    

5. MP = 100/(100 - d% )  × SP  

 6. VAT amount = VAT percent of SP    

7. VAT percent = (VAT Amount)/SP  ×100%  

 8. SP with VAT = SP + VAT amount    

9. SP with VAT = (100 + v%)/(100 )  × SP    

10. SP = 100/(100 + v% )  × SP with VAT  

 11. MP = (100 × 100)/((100 - d%)(100 + v%))  × SP with VAT    

12. SP with VAT = ((100 - d%)(100 + v%))/(100 × 100)  × MP

Would someone plz help me out with this

Answers

Answer:

$25,500

Step-by-step explanation:

Its an increase of $1,500 each year

A family club keeps a small amount of money on hand for members to borrow for short periods of time. The simple interest charged is 7.5%. Stephen borrowed $5,000 for 3 months. How much, to the nearest dollar, was he required to pay back at the end of 3 months?

Answers

Answer:

$6125

Step-by-step explanation:

5000 x 3 x .075 = 1,125

5000 + 1125 = 6125

Which statement is true about the function represented by this graph?

Answers

Answer: Choice D)

The function has a range of all real numbers less than or equal to 2.

=======================================================

Explanation:

Let's go through the answer choices to see which are true, and which are false.

A) This is false because (0,-2) is a y intercept, and not an x intercept. A zero of a function is always an x intercept.B) This is false. The curve peaks at the vertex (2,2) showing we have a max point, and not a min point.C) This is false. A function can have at most one y intercept. If it had more than one y intercept, then it wouldn't be a function (since the input x = 0 leads to more than one output).D) This is true. The range is the set of possible y outputs. We see that y = 2 is the largest output, which occurs at the vertex. We can get anything smaller than this y value. Therefore, the range is the set of y values such that [tex]y \le 2[/tex]

Answer:

option D

Step-by-step explanation:

THE FUNCTION HAS A RANGE OF ALL REAL NUMBERS LESS THAN OR EQUAL TO 2

If PR = 4X - 2 AND RS = 3X - 5 which expression represents PS?

Answers

Answer:

7x - 7

Step-by-step explanation:

If PR, RS, and PS  are line segments then the equation below will work.

PR + RS = PS

(4x-2) + (3x-5) = 7x - 7

At a tanning salon, customers are charged \$10 for their first visit in a calendar month and \$6 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon

Answers

Answer:

The salon would've made $1,240.

Step-by-step explanation:

Think of the customers as the numbers and the visits as variables. Then the equation would look something like this:

Revenue = 100(first visit) + 30(second visit) + 10(third visit)

And now, we just solve:

r = 100(10) + 30(6) + 10(6)

r = 1,000 + 180 + 60

r = $1,240

What is the range of the given data set? OA) 30 OB) 32 OC) 37 OD) 40​

Answers

Answer:

Range = maximum number - minimum number

maximum number = 99minimum number = 62

Range = 99 - 62 = 37

Answer:

37

Step-by-step explanation:

The range is the difference between the highest number and the smallest number.

Looking at the stem and leaf plot we can identify the largest and smallest number

Largest number: 99

Smallest number: 62

If range = largest number - smallest number then range = 99 - 62 = 37

A number y satisfies y 24th power - 256 = 0. What equation does the number x =y to the 4th power satisfy?

Answers

We conclude that the equation x = y^4 satisfies x = 256.

What does the equation x = y^4 satisfy?

First, we know that:

y^4 - 256 = 0

With this equation, we can find the value of y, it will give:

y^4 = 256

Then:

y = 256^(1/4) = 4

Now if we have the equation x = y^4, we can write:

x = y^4 = 256

x = 256

We conclude that the equation x = y^4 satisfies x = 256.

If you want to learn more about equations:

https://brainly.com/question/13763238

#SPJ1

what is the method or solution to this question (3)x-1=81x

Answers

[tex]3x-1=81x\\78x=-1\\x=-\dfrac{1}{78}[/tex]

Answer:

[tex]\large \boxed{\displaystyle x=- \frac{1}{78}}[/tex]

Step-by-step explanation:

[tex]3x-1=81x[/tex]

Subtract 3x from both sides of the equation.

[tex]-1=78x[/tex]

Divide both sides of the equation by 78.

[tex]\displaystyle \frac{-1}{78} =x[/tex]

What is the volume of the cone below?
A. 432 units 3
B. 1447 units 3
C. 1087 units 3
D. 2167 units 3

Answers

Answer:

[tex]144\pi[/tex]

Step-by-step explanation:

To find the volume of a cone use the formula [tex]v = \pi r^2\frac{h}{3}[/tex]

When you substitute that into an equation it will be [tex]v = \pi 4^2\frac{27}{3}[/tex]

First you should evaluate the exponent making it 16

Next divide 27 and 3 which is 9

Since you don't have to multiply by 3.14 ([tex]\pi[/tex]) the equation should be ...

[tex]144\pi[/tex]

Answer:

144

Step-by-step explanation:

WILL MARK BRAINLIEST HELP ASAP The student's in Roberto's school are painting a mural that will be 8 feet by 15 feet. First they make a scale drawing of the mural with a scale of 2 feet:5 feet. What are the length and width of the scale drawing in feet?

Answers

Answer:

4ft and 3ft

Step-by-step explanation:

Real mural: 8ft by 15ft

Scale: 2ft by 5ft

Length and width of scale drawing> 8t / 2ft= 4ft (length

                                                         >15ft/ 5ft= 3ft(width)

ANSWER 4FT BY 3FT

Quadrilateral ABCD is inscribed in circle P as shown. Which statement is necessarily true?

Answers

Answer:

             B.   m∠A + m∠C = m∠B + m∠D

Step-by-step explanation:

To inscribe a quadrilateral in a circle, the sums of its opposite angles must be equal (each sum of its opposite angles equals 180 °)

Can someone help me with this

Answers

Answer:

Does the answer help you?

Help anyone can help me do the question,I will mark brainlest.​

Answers

Answer:

Step-by-step explanation:

14.

by pythagoras,s theorem

[tex]x=\sqrt{2^2+2^2} =\sqrt{8} =\sqrt{4 \times 2} =2\sqrt{2} \\y^2=x^2+2^2=(2\sqrt{2} )^2+2^2=8+4=12=4 \times 3\\y=2\sqrt{3}[/tex]

15.

first perpendicular=y(say)

and second perpendicular=z (say)

y²=9²+7²=81+49=130

z²=y²+5²=130+25=155

x²=z²+4²=155+16=171

x=√(171)

In a group of 25 people, only three languages are spoken – English, Spanish and German. If there is at least one person who speaks all the three languages, how many people can interact with each other in English and German? 4 people speak two languages but do not speak Spanish One fifth of the group speaks more than one language.

Answers

Answer:

x + a=5

Step-by-step explanation:

Let

number of people who speak only English = E

the number of people who speak only German = G

the number of people who speak only Spanish = S

the number of people who speak only English & German but not Spanish = x

the number of people who speak only English & Spanish but not German = y

the number of people who speak only German & Spanish but not English = z;

the number of people who speak only German & Spanish & English = a

Find the the value of (x + a).

Statement 1: 4 people speak two languages but do not speak Spanish.

x = 4.

x+a

Value for a is unknown.

(x + a). Insufficient.

Statement 3: One-fifth of the group speaks more than one language.

x + y + z + a

= 25/5

= 5

value of (x + a) unknown

Insufficient.

Putting (1) and (2) together

x + y + z + a = 5

x = 4 and a=1,

we have only one possible solution from

x + y + z + a = 5

x + a

= 4 + 1

= 5.

Sufficient.

elizas backpack weights 18 7/8 pounds with her math book in it. without her math book, her backpack weighs 14 7/9 pounds

Answers

I'm assuming your trying to find the weight of the math book so here it is:

Answer:

4 5/36

Step-by-step explanation:

You'd have to do 18 7/8 - 14 7/9 but you can't subtract them yet because they don't have common denominators. So, you have to multiply the 7/8 by 9 and the 7/9 by 8. Then you would get 63/72 and 56/72. Then you put that into the equation and get, 18 63/72 - 14 53/72. If you subtract those, you get the answer, 4 10/72. Which can be simplified as 4 5/36.

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The history of the present King of Great Britain is a history of repeated injuries and usurpations, all having in direct object the establishment of an absolute tyranny over these States. To prove this, let facts be submitted to a candid world. He has endeavored to prevent the population of these States; for that purpose, obstructing the laws for naturalization of foreigners; refusing to pass others to encourage their migrations hither, and raising the conditions of new appropriations of lands. He has obstructed the Administration of Justice, by refusing his Assent to Laws for establishing Judiciary powers. 1 Select the correct answer. Which statement best describes the claim made in the excerpt? A. Past events have proven that Britain seeks to oppress and control the colonies. B. Facts must be presented that the King is unjust to prove the case against Britain. C. Britain seeks to maintain tyranny over the colonies by preventing land ownership. D. 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