The function f(x)=bx^2+x-7 has a remainder of 3 when divided by (x-2), where b is a real constant.Find the value of b

Answers

Answer 1

Step-by-step explanation:

f(x) = bx² + x - 7

g(x) = x — 2

Remainder is 3.

Let us find the zero of g(x).

→ g(x) = 0

→ g(x) = x - 2

→ 0 = x - 2

x = 2

Now, as when f(x) is divided by g(x), then remainder is 3. So,

→ f(2) = 2

→ b(2)² + 2 - 7 = 2

→ 4b - 5 = 2

→ 4b = 7

b = 7/4

Therefore, the answer is 7/4.

Related Questions

1/6 to the 2nd power

Answers

That means multiply 1/6 times 1/6 which equals 1/36

Please answer!!
No links
Picture is included

Answers

Answer:

I believe it's B hope this helps

A principal wants to know if students at a high school are in favor of a new dress code at the school. The Principal is not able to ask the opinion of every student at the school so she needs to select an appropriate sample of the students from the principal to represent the school. Select which sample of the students the principal should choose.

a. Students randomly selected from a list of all students at the school.
b. Students sitting at randomly selected tables in the library.
c. Students she selects from the hallway between classes.
d. Students selected by the teachers.

Answers

Answer:

a.

Step-by-step explanation:

b is unfair because not all types of students are represented. c is unfair because the principal can choose unfairly. d is unfair just like b is unfair.

Talia sells educational software for a yearly salary of $65,000 plus a 2.65% commission on her total sales. If Talia sells $2.5 million of software during one year, what are Talia’s earnings for that year?

Answers

Answer:

$131250

Step-by-step explanation:

Talia's earnings during one year are equal to her base yearly salary ($65000) added to her commission. Now, to know the commission it is necessary to find the 2.65% of her total sales ($2.5 million)

Step 1. Divide the total sales or 2,500,000 by 100 considering this represents the total or 100%

2,500,000 ÷ 100 = 25000

Step 2. Multiply this number by the specific percentage (2.65)

25000 x 2.65 = 66250

Now add the commission and the yearly salary

65000 + 66250 = 131250

Hence, total earnings of Talia were $131250


Hector must plant 286 trees. In the past 7 days
Hector planted 182 trees. If he continues at this rate,
how
many more days will it take him to plant all the
trees?

Answers

Answer:

3

Step-by-step explanation:

Marie and Jorge are both trying to lose weight. After 3 months they compared their weight loss. Marie’s weight went from 175 to 150. Jorge’s weight went from 190 to 180. Which statements are true regarding their weight loss? Select three options.
Jorge’s weight change was approximately 5%.
Marie’s weight change was approximately 14%.
Marie had the greater percent change.
Jorge had the greater percent change.
Marie’s weight change was approximately 1.4%.

Answers

Answer:

Jorge's weight change was approximately 5%.

Marie's weight change was approximately 14%

Marie had the greater percent change.

Step-by-step explanation:

Solution:

Marie's former weight = 175

New weight = 150

Difference = 175 - 150 = 25

Percentage change = 25/175 × 100

= 1/7 × 100

= 14.2%

Jorge's former weight = 190

Jorge's new weight = 180

Difference = 190 - 180 = 10

Percentage change = 10/190 × 100

= 5.26%

From the above explanation, the following are right:

• Jorge's weight change was approximately 5%.

• Marie's weight change was approximately 14%

• Marie had the greater percent change.

Answer:

Step-by-step explanation:

Jorge’s weight change was approximately 5%.

Marie’s weight change was approximately 14%.

Marie had the greatest percent change.

Marie: 175-150 = 25

What percentage is 25 of 175 = x/100 = 25/175

= 14.29%

Jorge: 190-180= 10

What percent is 10 of 190? = x/100 = 10/190

= 5.3%

Synthetic division. (X^3+5x^2-x-9)+{x+2

Answers

Answer:

Step-by-step explanation:

Select THREE expressions that are equivalent to 12x + 8y.

A. 12(x + 8y)
B. 4(3x + 2y)
C. 2(12x + 4y)
D. 4(2x + 3y)
E. 6x + 6x + 4y + 4y
F. 5x + 3x + 3x + x + 6y + y + y

Answers

Answer:

B

E

F

Step-by-step explanation:

B

4(3x+2y)

12x + 8y

E

6x+6x+4y+4y

12x + 8y

F

5x+3x+3x+x+6y+y+y

5x+6x+x+6y+2y

12x+8y

I really need help! Brainliest awarded to correct answer
:))

Answers

Answer:

Can you be more specific on this question?

Step-by-step explanation:

A girl cuts out rectangular pieces of cardboard for a project. She checks to see that they are rectangular by determining if the diagonals are perpendicular. Will this tell her whether a piece is a rectangle? Explain.​

Answers

yes bc she does it right

1000x200x400x20000x5000x500

Answers

Answer:

4e18

Step-by-step explanation:

I reccomend using a calculator for problems like this if you have one available as it gets to be a huge number which can be hard to work out by hand! :D

Note: e18 means it'll have 18 zeros!

What is the slope of a line that passes through the points (13,0) and (-2,12) please help no links

Answers

slope= -4/5
slope=(y2-y1)/(x2-x1)

12-0
———
-2-13

12
——
-15

4 -4
— -> ——
-5 5

3.


Graph the equation by translating y = |x|.

y = |x + 6|

A. Graph c

B. Graph b

C. Graph d

D. Graph a

Answers

Answer:

B. Graph b

Step-by-step explanation:

I got this answer correct

Answer: B
It’s graph B because when you see the number in a bracket next to X, you do opposite of the sign

HELLPPPP COMPATIBLE NUMBERS

Yesterday, Nate’s mom bought 4 boxes of crackers for $2.59 each. About how much
did she pay for the crackers?

Answers

Answer:

She paid $10.36

Step-by-step explanation:

Answer:

10.36

Step-by-step explanation:

4 x 2.59 = 10.36

Given (x – 7)2 = 36, select the values of x.

x = 13

x = 1

x = –29

x = 42

Answers

Answer:

x=1,13

Step-by-step explanation:

(x – 7)^2 = 36

Take the square root of each side

sqrt((x – 7)^2) = sqrt(36)

x-7 = ±6

x-7 = 6         x-7 =-6

Add 7 to all sides

x-7+7 = 6+7         x-7+7 = -6+7

x = 13                    x=1

A car travels 552.5 miles in 8.5 hours. An equation that represents the distance,d, a car travels in h hours is h = 65d​
True Or False

Answers

Answer:

True

Step-by-step explanation:

it's true cuz im corrrect

Find the volume of the following cone. Round your answer to the nearest integer.

Answers

Answer:

754

Step-by-step explanation:

right triangle a² + b² = c²

                      9² + b² = 13²

                      81 + b² = 169

                            b² = 169 - 81

                            b² =  80

                            b  =[tex]\sqrt{80}[/tex]

   [tex]V = \frac{1}{3} \pi r^2h[/tex]

   [tex]V = \frac{1}{3} \pi (\sqrt{80} )^2 (9)[/tex]

  [tex]V = 3\pi (80)[/tex]

   [tex]V = 240\pi[/tex]

    Using π = 3.14                      Using calculator value of π

      V = 753.6                                V  =  753.9822369

is 96 a odd even urgent ​

Answers

Answer:

even

Step-by-step explanation:

the last digit is an even number

Hey there!

• Odd numbers are numbers that cannot be divided evenly

- EXAMPLE: 1, 3, 5, 7, & etc.

• Even numbers are numbers that can be divided evenly by 2

- EXAMPLE: 2, 4, 6, 8, & etc.

But that Without further ado lets answer the question

96 ÷ 2 = 48

96 is divisible of 2

So therefore, “96” is an EVEN NUMBER

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

pls show steps on how to do it

Answers

Step-by-step explanation:

½× 10 × 5√3 cm² =

25√3 cm²

or

43.30 cm²

>> Answer

_________

[tex]\:[/tex]

1/2 × 10 × 5[tex]\sqrt{3}[/tex] = ...

= 5 × 5[tex]\sqrt{3}[/tex]

= 25[tex]\sqrt{3}[/tex]

The equation of a line that is perpendicular to the x-axis and passes through the point (2, -1).

Answers

Step-by-step explanation:

perpendicular to the x-axis means it is parallel to the y-axis.

and that means it is simply just a constant x value.

which x value ?

well, the point defines it (2).

so the solution is : x = 2

Solve the Quadratic

Solve for x.

x^2- x=20

Solution 1:
Solution 2:

Answers

Answer:

solution 1: 5

solution 2: -4

Step-by-step explanation:

x²-x-20=0;

(x-5)(x+4)=0;

x₁=5; x₂=-4.

Answer:

Solution 1: [tex]x = 5[/tex]

Solution 2: [tex]x = -4[/tex]

Step-by-step explanation:

The first is organize the given equation to the next form

[tex]ax^2 + bx + c[/tex]

So you substract -20 in both sides of the equation

[tex]x^2 - x - 20 = 0[/tex]

Know you can use the quadratic formula or find two number that sum give us [tex]b[/tex] and multiplied [tex]c[/tex].

[tex]b = s + r\\c = sr[/tex]

Replacing with the given values we have:

[tex]-1 = s + r\\-20 = sr[/tex]

With a trial and error the numbers are -5 and 4. Then you change the equation to

[tex]x^2 - x - 20 = (x - 5)(x + 4)[/tex]

And the equation is equal to 0 when  [tex]x[/tex] is equal to 5 and -4.

-2 1/8 ÷ 1 1/4? I still can't get it

Answers

Answer:

-1.7 sorry if it's wrong

-2 1/8 divided by 1 1/4 = -1 7/10

If f(x)=x^2 and g(x)= (square root of x)+2, what is (g(f(2))+f(1)?

Answers

Step-by-step explanation:

I am not sure that you typed it all correctly.

but based on what is written here

f(x) = x²

g(x) = sqrt(x) + 2

so, g(f(2)) + f(1) = g(2²) + 1² = g(4) + 1 = sqrt(4) + 2 + 1 =

= 2 + 2 + 1 = 5

24 donuts in 2 boxes = donuts per box

Answers

Answer: 12 in each

Step-by-step explanation: To solve this you'd divide the number of donuts by boxes.

Answer:

12 Donuts Per Box

Step-by-step explanation:

24/2=12

)
The circumference of a circle is 8cm. What is the RADIUS of the circle?
A) 2 cm
B) 4 cm
C) 6 cm
D) 8 cm

Answers

The raduis of a 8cm circle would be 4cm

Which expressions are equivalent to 3(6e+4)+8(e+2)+6e ?

Select all that apply.


2e+5(6e+4)+24

23e + 28

4(8e+28)

28 + 32e

4(8e+7)

Answers

Answer:

MINE IS 4Q 9

Step-by-step explanation:

help me with math and ill mark brainliest​

Answers

Answer:

121,59 the answer

just ask for Father explanation

The given number line shows the solutions to which inequality​

Answers

Answer:

A is your answer.

Step-by-step explanation:

A) x > -3

B) x <= -3

C) x <= -3

D) x > -8

Enter the value of 3.4 (6+12).

Answers

Answer:

61.2

Step-by-step explanation:

first you add 6+12 and then multiply that number by 3.4

3.4(6+12)
solve what’s in the paranthesis
3.4 X 18
now multiply the numbers
3.4 x 18 = 61.2

Sally picks seashells by the seashore. She lost 17 of them on her way home
With the remaining seashells, she planned to fill 5 jars with the same
number of seashells in each How many seashells did Sally originally pick?
a. You do not have enough information to solve this problem. The number
of seashells in each jar is the same as the number portion of her street
address, which is a 2-digit number. The first digit is 5. The last digit is
9 less than 3 times the first digit. How many seashells did Sally plan to
put in each jar?
b. By working backwards, determine how many seashells Sally originally
picked
C. The 5 jars that Sally chose would not each hold that many seashells In
her search for a 6th jar, she discovered a few seashells in her pocket
What are possible values for the number of seashells in each of the
6 jars and the number of seashells discovered in her pocket, such that
there are no seashells left over
(I need this ASAP! Thanks in advance!)
P.S. A step by step explanation would be really helpful ☺️

Answers

Answer:

  a) 56 shells in each jar

  b) 297 shells were picked

  c) 2, 8, 14, 20, ... shells were discovered (=2+6n); 47, 48, 49, 50, ... shells in each jar (=47+n); for n=0, 1, 2, 3, ...

Step-by-step explanation:

a)

The first digit is given as 5. The second is 9 less than 3 times 5, so is

  3×5 -9 = 15 -9 = 6

The 2-digit number that is Sally's house address is 56.

Sally originally planned to put 56 shells in each jar.

__

b)

If each of the 5 jars has 56 shells, and Sally collected 17 more than that, she originally picked ...

  5×56 +17 = 280 +17 = 297

Sally originally picked 297 shells.

__

c)

We saw that the number of shells to go into jars is 280. That will fill 6 jars with ...

  280/6 = 46 4/6 . . . . shells in each jar

That is, Sally can fill 6 jars with 46 shells each, and have 4 shells left over. The number of additional shells to put the same number in each jar will be a number that makes a multiple of 6 when 4 is added to it. Already we know that adding 2 shells will bring the total to 6 "extra", so will allow 1 more shell to be added to each of the 6 jars.

  additional shells = 2 +6n . . . . . . for some whole number n

  number in each jar = 47 +n . . . . . for the same whole number n

Sally could have discovered, 2, 8, 14, ... shells in her pocket.

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Sulfate is the oxidized form of the mineral sulfur found in plants and Which statement is true about Hatshepsut A.She used her power to trade with other landsB.The Empire fell apart during her reignC.She was a great military conquerorD.She was the last pharaoh in Egypt State 4 economic importance of meat Mrs. Jaminez would liketo enlarge a familypicture. The originalpicture has a ratio oflength to height of 6:4.If the new picture is 16inches high, then howlong is the picture? state three properties of oxygen Maya____(ver) la tele cada noche 10 less than the product of six and eight less than a number 2. (Contextualization) Based on his account, what's going on in America in1766? How has the Stamp Act affected him personally? Provide evidencefrom the document to support your answer. List three things you wonder about bath bombs Weathering breaks rock into pieces called b. Sugar and salt are both white, crystalline powders that dissolve in water. If you were given an unknown sample that contained one or both of these solids, how could you determine what your unknown sample contained (without tasting it)? (2 points) find classify the given triangles whose sides are indicated on them pls answer help please and thank you Find the roots of each equation by factoring Steve has $900 in a savings account that was 10% interest per year the interest is not compounded how much will he have in total in one year make x the subject of the formula y= 2x +5 find the area of a trapezoid with sides of 8cm 14cm 8cm 21cm and a height of 7cm (MC)The Mystery of Loch NessBy Kayden MitchellOf all the mysteries in the world, none has been as popular as that of the Loch Ness Monster. Perhaps the biggest mystery is whether it is convincing evidence or a simple desire to believe that keeps the myth alive.Loch Ness is a lake in Scotland. The loch, or lake, is known for sightings of a mysterious monster. Most who see this monster, known as Nessie, describe something with a long neck and several humps above the water. Sometimes the "monster" is moving in these sightings, and sometimes it is still. Many have suggested that Nessie might be a plesiosaur (plea-see-a-soar), an aquatic dinosaur that was trapped in the loch after the last ice age.The plesiosaur theory presents several problems. First, the plesiosaur is an air breather. Such a creature would need to surface often and, therefore, be seen more frequently. Second, it's unlikely that the same creature has lived in the loch since the last ice age. Today's creature would have to be the offspring of an original plesiosaur trapped long ago. This would suggest multiple creatures in the loch (needed to produce offspring). Again, sightings would be more frequent if this were the case.So from a purely logical stand point, the existence of such a large and ancient creature is unlikely. But assume for a minute that it is possible. What would a plesiosaur need to live in an enclosed lake?Tropical waters: Scientists believe plesiosaurs were warm-blooded. Like crocodiles and alligators, plesiosaurs would need to live in warm waters. The loch is very cold with temperatures averaging about 40 degrees Fahrenheit (4.4 Celsius).Food: Like other warm-blooded creatures, plesiosaurs would need a large quantity of food. If there is a group of Nessies, then even more food would be needed. Because the loch is full of silt (underwater dust) not much light gets into the deepest areas. So the food chain, which would depend on plankton, is very weak at its base. As a result, there is probably not enough food to support such a large creature.However, the plesiosaur theory is not the only one. Many other ideas attempt to explain the sightings and "photographs." But two separate sonar surveys of the loch have not found any evidence of a creature larger than a salmon. The last survey,1 completed in 2007 by the British Broadcasting Company (BBC), involved 600 different sonar beams. Using satellite navigation systems, the team made sure every inch of the loch was searched. The team found nothing. With cell phones and digital cameras, one would think that sightings of Nessie would increase. This has not happened. The BBC team believes the legend of Nessie has endured because people see what they want to see. To prove this, the team used a fence post, raising it before groups of tourists. Afterwards several of the tourists asked to draw pictures of what they had seen drew pictures of a monster's head.1"BBC 'proves' Nessie does not exist." 27 July, 2003.http://news.bbc.co.uk/2/hi/science/nature/3096839.stmBased on the text, what is the main result of scientists having studied the plesiosaur? a.The people who claim to have seen Nessie can be proven to have been dishonest. b..The sightings have decreased rapidly since the studies were released.c. We can conclusively rule out the existence of modern plesiosaurs. d.We know enough to rule out a plesiosaur as a likely Nessie creature. what is a hexadeciaml