When x^3 + 2x^2 - 7x + a is divided by (x-2) the remainder is 4. Find the value of a. Please help

Answers

Answer 1

Answer:

a = - 8

Step-by-step explanation:

A polynomial divided by factor (x - h) has a remainder given by f(h)

Here the divisor is (x - 2), thus f(2) gives the remainder, that is

2³ + 2(2)² - 7(2) + a = 4 ← 4 being the remainder

8 + 8 - 14 + a = 4, that is

12 + a = 4 ( subtract 12 from both sides )

a = - 8


Related Questions

What value of x is in the solution set of 3(x – 4) > 5x + 2?

Answers

Answer:

-10

Step-by-step explanation:

expand: 3x-12>5x+2

subtract 3x and subtract 2 to both sides

-14>2x

which is just

2x<-14

so x<-7.

the only value is -10. :D

Answer:

-10

Step-by-step explanation:

3(x – 4) > 5x + 2

Distribute

3x -12 > 5x+2

Subtract 3x from each side

3x-12-3x > 5x-3x+2

-12 > 2x+2

Subtract 2 from each side

-12 -2 > 2x+2-2

-14 > 2x

Divide by 2

-14/2 > 2x/2

-7 > x

X must be less than -7

-10 is less than -7

i need a graph of y=3x−1

Answers

Ah, simple!

It's important to identify what each part of your equation, which is in slope intercept form.

Let's break it down:

3x = Slope (in this case, it would be [tex]\frac{3}{1}[/tex], which means to go to the up three units, and right one unit)

-1 = Y-intercept (where your line begins)

If there's any confusion, feel free to leave a comment.

Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55. Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55). Step 2: Find the slope. M = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47 Step 3: Find the y-intercept to write the equation in slope intercept form. Y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. Y = 0.47 x + 39.1. Which explains the error that Lila made? Lila made in error in Step 1 by reversing the ordered pairs. Lila made an error in Step 2 by not using the slope formula. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair. Lila made an error in Step 3 when she did not use the distributive property correctly when multiplying.

Answers

Answer:

The answer is C. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.

Hope this helps!

Stay safe at home :)

(those of you doing edge hang in there!)

The y intercept of the problem is equal to 25+14.1/30*x.

What is total cost?

The total cost is the sum of the fixed cost and the variable cost to make a product.

How to find y-intercept?

x is showing no. of bruchers

y is showing total cost.

Total cost for 35  bruchers=41.45

Total cost for 65 bruchers=55.55

The points are (35,41.45), (65,55.55)

The y intercept can be calculated as :

y-41.45=(55.55-41.45/65-35)*(x-35)

30y-14.1x=750

y=25+14.1/30*30

Hence the value of y intercept is 25+14.1/30*30.

Learn more about intercept at https://brainly.com/question/26233

#SPJ2

Una compañía fabricó tres tipos de muebles: sillas, mecedoras y
sofás. Para la fabricación una silla, se necesitan 1 unidad de madera, 1
de plástico y 2 de aluminio; una mecedora lleva 1 unidad de madera, 1
de plástico y 3 de aluminio, mientras que para un sofá se precisa
utilizar 1 unidad de madera 2 unidades de plástico y 5 unidades de
aluminio. La compañía disponía de 400 unidades de madera, 600 de
plástico y 1500 de aluminio. Sabiendo que utilizó todas sus existencias
de materiales, ¿cuántos muebles de cada tipo fabricó (sillas, mecedoras,
sofás)? sistema de ecuación 3*3 método cramer

Answers

Answer:

neuf mille

je ne suis pas sûr

Step-by-step explanation:

Joan waters her plants each day with gallons of water. With a new irrigation system in place, she uses gallons of water each day. How many gallons of water does she save in a 30-day period with the irrigation system?

Answers

Answer:

[tex]172\frac{1}{2}[/tex] gallons

Step-by-step explanation:

Considering she waters her plants with 25 1/2 gallons  i.e 51/2

and with the new system, she does it with 19 3/4 i.e 79/4

taking the difference:

[tex]\frac{51}{2} - \frac{70}{4}[/tex] = [tex]\frac{23}{4}[/tex] gallons per day

For 30 days:

30 x [tex]\frac{23}{4}[/tex] = 172.5 or [tex]172\frac{1}{2}[/tex] gallons

PLEASE HELP ASAP!!!!!!!!

Answers

Answer:

a)f(o)=12

f(1)=0

f(12)=1320

c)x=1

Step-by-step explanation:

Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of Earth? (Use 3.14 for π) A. 2,512,000 miles B. 25,120 miles C. 1,256,000 miles D. 12,560 miles

Answers

Answer:

Earth's circumference is approximately 25,120 miles because if you plug in 8,000 and 3.14 into the formula C = πd, C = 25,120.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The equation a=1/2(b^1+b^2)h can be determined the area, a, of a trapezoid with height, h, and base lengths, b^1 and b^2 Which are equivalent equations?

Answers

The complete question is as follows.

The equation a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex] can be used to determine the area , a, of a trapezoid with height , h, and base lengths, [tex]b_1[/tex] and [tex]b_2[/tex]. Which are equivalent equations?

(a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]

(b) [tex]\frac{a}{2h} - b_2 = b_1[/tex]

(c) [tex]\frac{2a - b_2}{h}[/tex] = [tex]b_1[/tex]

(d) [tex]\frac{2a}{b_1 + b_2} = h[/tex]

(e) [tex]\frac{a}{2(b_1 + b_2)}[/tex] = h

Answer: (a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]; (d) [tex]\frac{2a}{b_1 + b_2} = h[/tex];

Step-by-step explanation: To determine [tex]b_1[/tex]:

a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]

2a = ([tex]b_1 + b_2[/tex])h

[tex]\frac{2a}{h} = b_1 + b_2[/tex]

[tex]\frac{2a}{h} - b_2 = b_1[/tex]

To determine h:

a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]

2a = [tex](b_1 + b_2)h[/tex]

[tex]\frac{2a}{(b_1 + b_2)}[/tex] = h

To determine [tex]b_2[/tex]

a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]

2a = [tex](b_1 + b_2)h[/tex]

[tex]\frac{2a}{h} = (b_1 + b_2)[/tex]

[tex]\frac{2a}{h} - b_1 = b_2[/tex]

Checking the alternatives, you have that [tex]\frac{2a}{h} - b_2 = b_1[/tex] and [tex]\frac{2a}{(b_1 + b_2)}[/tex] = h, so alternatives A and D are correct.

If f(x) = 1 - x and g(x) = 1-X, which is the rule of function (f-g)(x)?

Answers

Answer:

0

Step-by-step explanation:

f(x) = 1 - x

g(x) = 1-X

f(x) - g(x) = 1-x - (1-x)

              Distribute

               =1-x-1 +x

           Combine like terms

             0

A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches
$95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models
the function?
Graphing

Answers

Answer:

The graph that best fits this model of profit and price per unit is attached to this solution.

Step-by-step explanation:

A couple of graphs are missing from the question. According to the full question as obtained online, there are a number of graph options, and we are expected to pick the best option. I would not add all the other graphs to limit the chances of deletion due to violating community guidelines.

The function is to model the profits of a new pet-monitoring system, so, if the profits are y and x is the price per unit, y = f(x)

The profits vary as the price per unit varies, there is no profit made until the price reaches

$95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit.

This description of the curve shows that y is negative at values of x less than $95, then the profits increase when x varies between $95 and $140. The profits reach a maximum at $140 and then the profits start to decline as x increases again, the profits go to 0 at x = $185.

This description shows that the function is a quadratic function with a graph that is n-shaped, peaking at x=185 and the graph crosses the x-axis at x=95 and x=185.

The most fitting graph for this model is attached to this solution provided.

From the graph, all the descriptions above are evident.

Hope this Helps!!!

Answer:

Graph A!

Step-by-step explanation:

just passed on edge 2020

Which of the following lines of Shelly's "On the Medusa of Leonardo Da Vinci in the
Florentine Gallery" appeal to the sense of hearing and sight at the same time?

1. Whereon the lineaments of that dead face

2. Are graven, till the characters be grown

3. Into itself, and thought no more can trace;

4. 'Tis the melodious hue of beauty thrown

A:Tis the melodious hue of beauty thrown

B:into itself,and thought no more can trace

C: Are graven,till the characters be grown

D: Whereon the linements of that dead face

explain answer ​this question is English

Answers

Answer:

A: Tis the melodious hue of beauty thrown  .

Explanation:

An appeal to the sense of hearing and sight will be something that presents an act that gives the readers a sense of the sounds in the writing. While an appeal to the sense of sight will present an image or a form of the picture to the readers. These types of sense appeals are used by writers to engage their readers' interest and keep them hooked.

In Percy Bysshe Shelly's poem "On the Medusa of Leonardo Da Vinci in the Florentine Gallery", the poet talks about the goddess Medusa but most importantly talks about the painting of "Medusa" by Da Vinci. The poem structured in the iambic pentameter scheme presents an image of Medusa and also how she was depicted by Da Vinci in his work. Out of the given options from the second stanza of the poem, the line that appeals to the sense of hearing and sight is "Tis the melodious (hearing/ sound) hue of beauty thrown (sight)".

Thus, the correct answer is option A.

At the beach, 11% of people have white towels and 53% have blue towels. If
the rest have red, what percentage of the people at the beach have red
towels?
Answer here
SUBMIT
ASAP help plz

Answers

Answer:

36 percent.

Step-by-step explanation:

We have been given that 11 percent of people of the peach have white towels, and 53 percent have blue towels.

With this information, we can find the remaining percentage of people that have red towels.

Recall that the total percentage is always 100 percent.

lets make r for the percentage of people that have red towels.

You can solve it by changing it to fraction, decimal, or just keep it at percent.

I will show you all of the possible ways.

Percent:

11 percent plus 53 percent plus r =100 percent

combine the like terms, or add 11 plus 53 to simplify the equation.

You have 64 percent plus r =100 percent Our goal is to isolate r, so subtract both sides by 64 percent.

100-64 is 36 percent.

r=36 percent of people who have red towels.

With fractions.

Write it as 11/100 plus 53/100 plus r/100= 100/100.

Combine the fractions.

64/100 plus r/100=100/100.

Subtract both sides by 64/100.

You are left with r=36/100, 9/25, or 36 percent.

With decimals.

11 percent as a decimal is 0.11. Just move the decimal spot 2 times. In 11, since you can write it as 11.0, you move it to the right twice.

53 percent is 0.53.

r is r.

100 percent is 1.

0.11 plus 0.53 plus r=100

Combine or add 0.53 and 0.11. That is 0.64.

Subtract both sides by 0.64.

You get r to be 0.36 or 36 percent.

I hope this helps, and I hope you have a good day!

Answer:

36%

[tex]percentage \: of \: people \: who\: have \: white \\ towels = 11 \\ percentage \: of \: people \: who \: have \: blue \: \\ towels = 53 \\ percentage \: of \: people \: who \: have \: \\ white \: and \: blue \: towel \\ = 11 + 53 \\ = 64 \\ percentage \: of \: people \: who \: have \ \: red \\ towels = 100 - 64 \\ \: \: \: \: \: \: \: \: \: \: \: = 36[/tex]

hope this helps ..

Good luck on your assignment

A saleperson receives a base salary of $37,000 in commission of 8% of the total sales of the year if the sales person sells $265,000 of merchandise what is his total salary for the year

Answers

Answer:

Sale-person's total salary for the year is  $ 82,050

Step-by-step explanation:

Base salary of salesperson = $37,000

commission percentage of salesperson = 17% of sales

sales made in a year = $265,000

commission for salesperson in $ = 17% of sales

commission for salesperson in $ = 17 / 100 *  $265,000 = $45,050

Thus, total commission for the given year salesperson is   $45,050

Total salary for year = Base salary + total commission for the given year

Total salary for year = $37,000  +  $45,050 = $ 82,050 (Answer)

Consider the reduction of the rectangle. A larger rectangle has a length of 18 inches and width of 8 inches. A smaller rectangle has a length of x inches and width of 3 inches. Write a proportion and then solve to find the missing measure of the reduced rectangle. What two ratios can be used in the proportion? What is the value of the missing measure?

Answers

Answer:

18/8 = x/3

x = 6.75 inches (length)

Step-by-step explanation:

Hi, to answer this question we have to write 2 ratios using the information given:

A larger rectangle has a length of 18 inches and width of 8 inches.

Inches /width = 18/8

So, for a rectangle that has a length of x inches and width of 3 inches the ratio is :

x/3

Solving for x:

18/8 = x/3

18/8 (3) =x

6.75 in= x

Feel free to ask for more if needed or if you did not understand something.

Find the height of a triangle that had area of 30sqaure deer units and a base measuring 12units

Answers

Answer:

h = 5 units

Step-by-step explanation:

Step 1: Plug in known variables into formula

A = 1/2bh

30 = 1/2(12)h

Step 2: Multiply both sides by 2 (To get rid of fraction)

60 = 12h

Step 3: Divide both sides by 12

h = 5

Answer: 5 units

Step-by-step explanation:

30 devided by 12 then multiply that by 2

What is the measure of arc ADC if the measure of arc BC is 52 degrees

Answers

Answer:

bc 52dndnxnnxxjxmsowkdkdodjdjdidj

Looking at twentieth century mathematicians 1900 to 1999, what is the surname of the Iranian-born mathematician who won the highest honour in mathematics, the Fields Medal?

Answers

Answer: Maryam Mirzakhani

Step-by-step explanation:

What single decimal multiplier would you use to increase by 4% followed by a 3% increase

Answers

Answer:

1.0712

Step-by-step explanation:

if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712

hope this will help you, have a nice day!

*Brainliest* What is the domain of the function shown in thr table?

Answers

Answer:

Domain is { 3,5,7,9}

Step-by-step explanation:

The domain is the input values

Domain is { 3,5,7,9}

Answer:

Domain - {3, 5, 7, 9} (B)

Step-by-step explanation:

Domain - imput values, X values

Please help me I keep getting long and I do not know what I’m doing

Answers

Answer:

-2

Step-by-step explanation:

Trial and error with multiples of 5.

The first one Tried was 15 and

I got kJ and kl= 15. But that’s not right as they are equal now.

Note that the numbers we are trying are the difference between j and k and not where k is,yet

So, I tried 25

K = -27 + 25 = -2

K from l = 3-5(because ratio was five to one) =-2

Hope this helps

Given the coordinates for the function below which of the following are coordinates for its inverse

Answers

2-3+23=-34 so that is the right one

1. Martha pays 20 dollars for materials to make earrings. She makes 10 earrings and sells 7 for
5 dollars and 3 for 2 dollars. Write a numerical expression to represent this situation and then
find Martha's profit?

Answers

Answer:

Numerical expression to represent this situation : 41 = 20 + P

Martha's profit is $21

Step-by-step explanation:

Total cost price for earrings for Martha = total money invested in material  to make earrings = $20

No. of ear rings made = 10

No. of earrings sold for $5= 7

Total Price for these 7 earrings= $5*7 = $35

No. of earrings sold for $2= 3

Total Price for these 3 earrings= $2*3 = $6

Total price for all of the ten earrings = $35+$6 = $41

We know that

selling price = cost price + profit

Total price for all of the ten earrings = Total cost price for 10 earrings + total profit made on those 10 earrings

let total profit be P

41 = 20 + P

Thus,

P = 41-20 = 21

numerical expression to represent this situation : 41 = 20 + P

Thus, Martha's profit is $21

PLZ HELP! WILL MAKE A BRAINLIST
Which types of dilation are the given scale factors?

Answers

Answer:

see explanation

Step-by-step explanation:

For a given scale factor k

If k > 1 then expansion

If k < - 1 then expansion in the opposite direction

If 0 < k < 1 or - 1 < k < 0 then contraction

k = - 2 ← expansion in opposite direction

k = 1.5 ← expansion

k = [tex]\frac{1}{4}[/tex] ← contraction

k = - [tex]\frac{6}{7}[/tex] ← contraction

Use the table to identify the values of pand q that should be used to factor x2
- 3x - 10 as (x + p)(x + 9).​

Answers

Answer:

A

p = -5 and q = 2 or p = 2 and q = -5

Step-by-step explanation:

Technically, you don't need the table to help you out here. If you solely just factor out x²-3x-10, you would get (x-5)(x+2). So one variable would always have to be -5 and the other variable would always have to be 2.

Which of the binomials below is a factor of this trinomial? x2 - x-12 A) x+6 B) x+4 C) x-4 D) x-6

Answers

x² - x - 12

Start by setting up your two sets of parenthses.

X² breaks down into x and x.

What we are looking for is factors of the constant term

that add to the coefficient of the middle term.

The question is, what is the coefficient of the middle term

in this problem if there is nothing written in front of the x.

Well if there is nothing written there,

the coefficient is understood to be 1.

So what we are looking for are factors of -12 that add to -1.

Factors of -12

+12 · -1

-12 · +1

+6 · -2

-6 · +2

+4 · -3

-4 · + 3

We can see that -4 and +3 add to -1.

So they go in the second position of each binomial.

This gives us (x - 4)(x + 3) as our answer.

Please help there’s a picture
60°
60
Y=?

Answers

Answer:

Pretty sure it's 90 degrees

Step-by-step explanation:

Is 90
I hoped it helps

Any answers plzzzzzz​

Answers

Answer:

A = 3[tex]r^{2}[/tex]

Step-by-step explanation:

r = [tex]\sqrt{\frac{A}{3} }[/tex]

r = [tex](\frac{A}{3})^{1/2}[/tex]

square both sides:

[tex]r^{2}[/tex] = [tex]\frac{A}{3}[/tex]

multiply 3 to both sides:

3[tex]r^{2}[/tex]  = A

Answer:

[tex] a= 3r {}^{2} [/tex]

[tex] \sqrt{ \frac{a}{3} } = r \\ \frac{1}{3a} = r {}^{2} \\ \frac{1}{3a} \frac{1}{3} = r {}^{2} \frac{1}{3} \\ a = 3r {}^{2} [/tex]

Choose the best estimate for the weight of a strawberry A 1 ounce B 8 ounces

Answers

Answer:1 ounce

Step-by-step explanation:

PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!

Answers

Answer:

B

Step-by-step explanation:

Recall that [tex](g \circ f)(x)=g(f(x))[/tex]. In other words, we need to find [tex]f(x)[/tex] first and then put that value into [tex]g(x)[/tex].

We need to find [tex](g \circ f)(4) =g(f(4))[/tex]

[tex]f(x)=4x-2\\[/tex]

[tex]f(4)=4(4)-2=14[/tex]

[tex](g \circ f)(4) =g(f(4))=g(14)[/tex]

[tex]g(x)=-6x^2-8x-8[/tex]

[tex]g(14)=-6(14)^2-8(14)-8[/tex]

[tex]g(14) = (g \circ f) (4) =-1296[/tex]

What is the following product? square root of 10 times square root of 10

Answers

Answer: 10

Step-by-step explanation:

√10 x √10

When a square root of an expression is multiplied by itself, the result is that expression...

10

Other Questions
Please help 100 points. i need to finish this like in 20 min Assignment: The Law of Large Numbers Investigation Mrs. Hudson has made another assignment that Karen and Dakota are excited to try. To conduct your own experiment, you will need dice and a place to record your results. In this assignment, you will first calculate the theoretical probability for rolling a sum of 7. Then, you will roll the dice and add the numbers shown, recording your results as you go. Calculate the experimental probability for rolling a 7 after the 1st, 10th, and 100th rolls. Compare these results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase? 1. List out the sample space for the experiment and then calculate the theoretical probability. _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ 2. Roll the dice. Record your results in the table. Calculate the experimental probability for rolling a sum of 7 after the 1st, 10th, and 100th rolls. Experimental Probability after Roll #1: ___________________________ How does the experimental probability compare to the theoretical probability after 1 roll? _________________________________________________________ _________________________________________________________ Experimental Probability after Roll #10: __________________________ How does the experimental probability compare to the theoretical probability after 10 rolls? _________________________________________________________ _________________________________________________________ Experimental Probability after Roll #100: _________________________ How does the experimental probability compare to the theoretical probability after 100 rolls? _________________________________________________________ _________________________________________________________ Tally your results in the table. Sum Results 2 3 4 5 6 7 8 9 10 11 12 Analyze your findings. 3. 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