Divide x4 + 7 by x-3.

Answers

Answer 1

Answer:

x^3   +  3x^2    +   9x    +  27   +   88 / [x - 3]

Step-by-step explanation:

x ^4 + 7 by x - 3 x^3   +  3x^2    +   9x        +  27 x - 3  [  x^4  +   0x^3    +   0x^2    +   0x    +   7   ]. x^3  -    

3x^3 ________________________________ 3x^3   +     0x^2 3x^2  

-     9x^2 ______________ 9x^2      +   0x 9x^2

   -    27x ____________ 27x    +   7 27x  

 -  81 _________ 88 S

Answer:  So the result is :      x^3   +  3x^2    +   9x    +  27   +   88 / [x - 3]

Please mark me brainliest

Hope this helps.


Related Questions

PLEASE GIMMI ANSWER ASAP

Sharon wants to buy a shirt that cost 40$. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt.

Answers

100% + 5% = 105 %

105/100 x 40$ = 42$

Answer:

hi the answer is 2$

Step-by-step explanation:

40 divided by 10 is 4 divided by 2 is 2

tell me if you need any more help please mark as brainliest

what is the solution to the system of equation below Y equals -1/3 X +6 and X equals -6

Answers

Answer:

y = 8

Step-by-step explanation:

y= [tex]\frac{1}{3} x[/tex] + 6

[tex]x[/tex] = -6

y=([tex]\frac{1}{3}[/tex] x 6) + 6

y= 2+6 = 8

A number is equal to twice a smaller number plus 3. Yhe same number is equal to twice the sum of smaller number and 1. How many soluyions are possible for this situation

Answers

Answer:

There is no solution to the problem

Step-by-step explanation:

In order to find the solutions to the problem you can write the situation in an algebraic form.

You have that a number is equal to twice a smaller number plus 3. This can be written as follow:

[tex]x=2y+3[/tex]      (1)

where x is the number and y is the smaller number

Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:

[tex]x=2(y+1)[/tex]     (2)

To find the solution you equal the equation (1) with (2), and you solve for y:

[tex]2y+3=2y+1[/tex]

[tex]3=1[/tex]

You obtain an inconsistency, hence, the situation of the problem does not have solution

In ΔRST, the measure of ∠T=90°, ST = 44 feet, and TR = 84 feet. Find the measure of ∠R to the nearest tenth of a degree.

Answers

Answer:

[tex]27.6^\circ[/tex]

Step-by-step explanation:

Given:

A [tex]\triangle RST[/tex] with [tex]\angle T =90 ^\circ[/tex]

ST = 44 feet

TR = 84 feet

To find:

[tex]\angle R = ?[/tex]

Solution:

Please have a look at the attached figure for clear view of the given dimensions of the right angled triangle.

Here, we can use trigonometric formula to find out the [tex]\angle R[/tex].

We know that formula for tangent of angle [tex]\theta[/tex] is given as:

[tex]tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]

Here, Perpendicular for [tex]\angle R[/tex] is side ST and

Base is side TR.

Putting the values in above tangent formula:

[tex]tan R = \dfrac{ST}{TR}\\\Rightarrow tan R = \dfrac{44}{84}\\\Rightarrow tan R = 0.523\\\Rightarrow \angle R = 27.6^\circ[/tex]

Hence, [tex]\angle R = 27.6^\circ[/tex] is the answer.

Answer:

66.1

Step-by-step explanation:

Please help! Correct answer only please! I need to finish this assignment by today.

You flip a coin.

What is P(not tails)?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

1/2 or 0.5

Step-by-step explanation:

since there are two options, heads and tails, the probability of not flipping tails is 1/2, since the probability of flipping heads is 1/2

Answer:

1/2

Step-by-step explanation:

There are 2 sides of a coin.

Heads or Tails.

That means you have a 1/2 chance of getting tails. This also means you have 1/2 chance of not getting tails, in other words, getting heads.

what is 18% of 39 equals what

Answers

Answer:

7.02

Step-by-step explanation:

[tex]\frac{18}{100}[/tex] x 39 = 7.02

First write 18% as a decimal by moving the

decimal point two places to the left to get .18.

Next, the word "of" tells us we need to multiply.

So we multiply (.18)(39) to get 7.02.

So 7.02 is 18% of 39.

if f(x)=1/2x-2 what is f(14)

Answers

Answer:

Hi there!

The correct answer is: 5

Step-by-step explanation:

Essentially they replace x with 14, so all you have to do is plug 14 into the equation. 14 multiplied by 1/2 is 7, because it's the same thing as 14 divided by 2. Then you minus 2 from 7, and you get 5.

HELP PLEASE. THIS IS ABOUT FUNCTIONS ! EXPLANATION NEEDED PLEASE

Answers

Answer:

B

Step-by-step explanation:

Looking at the graph we can see that the function is increasing -4<x<-2 and 0<x2

The graph is increasing when it is going upwards, or has a slope greater than 0

We can see that happening in two places in the function, which are the intervals of the x coordinate in B

Answer:

B

Step-by-step explanation:

The function is increasing - 4 < x < - 2 and 0 < x < 2 and has a slope greater than 0, and it's happening at 2 places on the graph, so it's B

Hope this helps!

please answer asap the photo is below

Answers

Answer: 1; -5

Step-by-step explanation:

For this problem, we are asked to find the slope and y-intercept.

We see that this linear line goes through the y-axis at (0,-5). therefore, our y-intercept is -5.

To find the slope, we would use the formula [tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]. We can use the points (0,-5) and (5,0) since we can clearly see the line goes through these 2 points.

[tex]m=\frac{0-(-5)}{5-0} =\frac{5}{5} =1[/tex]

From our formula, we found that the slope is 1.

For the first box, you would fill in 1, the slope. The second box would be -5, the y-intercept.

Answer:

y = x - 5

Step-by-step explanation:

One can immediately read off the slope, m, from the graph:  m = 5 / 5 = 1.

The y-intercept is (0, -5).

In slope-intercept form the equation of this graph is y = x - 5

help will mark brainliest

Answers

Answer:

no mistakes

Step-by-step explanation:

There are no mistakes in the derivation of the quadratic formula by completing the square

Step 1

Move c to the right hand side

Step 2 Get x^2 to have a coefficient of 1

Step 3 complete the square by adding ( b/2a) ^2 to each side

Step 4 Write in the completed square form  ( x+ b/2x) ^2 = -c/a + ( b/2a) ^2

Step 5 take the square root of each side, remembering the plus and minus

Step 6 subtract  (b/2a) from each side

There are 41 students in 6th grade Group A of a junior high school,
and the number of boys is 3 more than the number of girls.
How many boys and girls are there in the class, respectively?

Answers

Answer:

23 boys 21 girls

Step-by-step explanation:

so what i would do is 41/2 =20.5 (we round up becaue its people) 21

so if there are 3 more boys then we  have 23 boys and 21 -3(to make it equal in half) 18 girls

i might be wrong  im not in this level of math yet    

a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola

Answers

Answer:

Step-by-step explanation:1/2 of answer is zero

Answer:

y=1/3x^2+4/3 x -2/3

Step-by-step explanation:

y=1/3x^2+4/3 x -2/3

Choose the highest common factor (HCF) of 6xy^3 and 9x^2y
A= x^2y^3
B= 3xy
C= 54x^3y^4
D=18x^2y^3

Answers

Answer:

B= 3xy

Step-by-step explanation:

6xy^3= 2ₓ3ₓ x ₓyₓyₓy

9x^2y= 3ₓ3ₓ x ₓ x ₓ y

common factors = 3, x , y

HCF:  3 ₓ x ₓ y

     =3xy

The answer to this question will be 3xy

solve the equation x square - 9+20=0​

Answers

Answer:

[tex]\sqrt{11i}[/tex]

Step-by-step explanation:

x^2-9+20 = 0

x^2+11 = 0

x^2 = -11

x = [tex]\sqrt{-11} \\\sqrt{11i} \\[/tex]

What effect will replacing x with (x+7) have on the graph of the equation y=x2 y = x 2 ? A. slides the graph 7 units right B. slides the graph 7 units down C. slides the graph 7 units left D. shrinks the graph by a factor of 7

Answers

Answer:

C

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Thus y = (x + 7)²

represents a shift to the left of 7 units → C

The graph y = x² will slide the graph 7 units left by replacing x with (x+7) thus, the correct option is (C).

How to plot a graph?

In order to plot a graph, we have to substitute all the x's values into a function.

Find out the y's value corresponding to the x's and plot the graph in the coordinate geometry.

By the replacing x by (x + a) in the function y = f(x), the function is going to shift either left or right horizontaly.

1. If a is positive then the graph will slide left of the units.

2. If a is negative then the graph will slide right of the units.

Given that, y = x² is need to replace with y = (x+7)²

Since 7 is positive so the graph will slide 7 units left.

For more information about the graph

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A rectangle has a width that is 3cm less than its length. The perimeter of the rectangle is 22cm. What is the length and width of the rectangle? Please use problem solving algebraically and explain your answer so i can give you the brainliest. :)

Answers

Answer:

The length is 7 and the width is 4

Step-by-step explanation:

l = length

w = l-3

P =2( l+w)

22 = 2( l+ l-3)

Combine like terms

22 = 2(2l-3)

Divide each side by 2

22/2 = 2/2 (2l-3)

11 = 2l-3

Add 3 to each  side

11+3 = 2l-3+3

14 = 2l

Divide each side by 2

14/2 =2l/2

7 = l

Now find w

w = l-3

w = 7-3 = 4

Answer: length = 7 cm

Width = 4 cm

Step-by-step explanation:

Perimeter = 2 (l + w)

22 = 2 ( l + l-3)

22=2 (2l - 3)

22=4l - 6

22+6 = 4l

4l = 28/4

l = 28/1 = 7 = length

Width = 7-3 = 4

What is the simplified expression in standard form

Answers

Answer:

[tex] \boxed{\sf - 2 {p}^{2} - 11p - 35} [/tex]

Step-by-step explanation:

[tex] \sf \implies - 2 {(p + 4)}^{2} - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 2(p)(4) + {4}^{2} ) - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 8p + 16) - 3 + 5p \\ \\ \sf \implies (( - 2) \times {p}^{2} ) + (( - 2) \times 8p) + ( ( - 2) \times 16) - 3 + 5p \\ \\ \sf \implies (- 2 {p}^{2} ) + ( - 16p ) + (- 32) - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} - 16p - 32 - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} + (- 16p + 5p) + ( - 32 - 3) \\ \\ \sf \implies - 2 {p}^{2} - 11p - 35[/tex]

Find n so that C(n, 3) = P(n, 2).

Answers

Answer:

n = 19/6

Step-by-step explanation:

Formula for C(n,r) = n!/(r!(n-r)!)

C(n,3) = n! /( 3! * (n - 3)!)

Formula for P(n,r) = n!/(n-r)!

P(n,2)= n!/(n-2)!

C(n, 3) = P(n, 2)

n! /( 3! * (n - 3)!) = n!/(n-2)!

[tex]\frac{n!}{3!(n-3)!}= \frac{n!}{(n-2)!}[/tex] cross multiply

n!(n-2)! = n! 3! (n-3)!

(n-3)! = (n-3)(n-2)!

so n!(n-2)! = n! 3! (n-3)! becomes

n!(n-2)! = n! 3! (n-3)(n-2)! divide both sides by n!(n-2)!

1  =6(n-3)

1 =6n -18

19 = 6n

n = 19/6

Need help it’s URGENT!

Answers

Answer:

either b or c

Step-by-step explanation:

i think

I want help! Please

Pocket allowance of 5 students respectively are:
125, 75, 150, 175, 200
Find out arithmetic mean.​

Answers

Answer:

145

Step-by-step explanation:

125+75+150+175+200= 725

725÷5=145

Answer:

145

Step-by-step explanation:

(125+75+150+175+200)÷5

725÷5= 145

For questions 1 - 2, complete the given table of values. Then sketch a graph that shows two complete cycles. 1. Y=- cosx 2. Y = sin x+1

Answers

Answer:

See attachment.

Step-by-step explanation:

See attachments.


Plzz give an example

how do you round to the nearest cubic

Answers

round you volume measure to a whole number. like if it was 80.4 it would be 80

Answer:

I'm assuming that you mean "Cubic Unit". I will use inches in this example, but this will work with other units as well.

Let's say that the volume of a figure was 124.86 cubic inches.

Rounding to the nearest cubic inch is the same thing as rounding to the nearest whole number.

Locate the 'ones' place:

124.86

Check next door:

124.86

If the next door number is greater than or equal to 5, then we round up. If it's less than 5, we round down.

8 is greater then 5. Therefore, we would round up.

So, 124.86 cubic inches to the nearest cubic inch is 125 in³.

124.86in³ ≈ 125in³

So I have to compute the following but i don't know what they mean any help?

Answers

Answer:

Step-by-step explanation:

This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr

i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.

I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.

Recall that

[tex]nCr=\frac{n!}{(r!)(n-r)!}[/tex]

Consider question a) we are given (5 1) or ₅C₁

we can see that n = 5 and r = 1

If we substitute this into the formula:

₅C₁ = (5!) / [ (1!)(5- 1)!]

= (5!) / [ (5- 1)!]

= (5!) / (4!)

= (5·4·3·2·1) / (4·3·2·1)

= 5

hence ₅C₁ = 5

Answer:

(a) 5

(b) 10

(c) 35

(d) 28

(e) 9

(f) 21

Step-by-step explanation:

[tex](\frac{n}{k} )=\frac{n!}{k!(n-k)!}[/tex]

(a)

[tex](\frac{5}{1} )=\frac{5!}{1!(5-1)!} \\\\(\frac{5}{1} )=\frac{5*4*3*2*1}{1*4!} \\\\(\frac{5}{1} )=\frac{120}{1*4*3*2*1} \\\\(\frac{5}{1} )=\frac{120}{24} \\\\(\frac{5}{1} )=5[/tex]

(b)

[tex](\frac{5}{3} )=\frac{5!}{3!(5-3)!} \\\\(\frac{5}{3} )=\frac{5*4*3*2*1}{3*2*1*2!} \\\\(\frac{5}{3} )=\frac{120}{3*2*1*2*1}\\\\(\frac{5}{3} )=\frac{120}{12} \\\\(\frac{5}{3} )=10[/tex]

(c)

[tex](\frac{7}{4} )=\frac{7!}{4!(7-4)!} \\\\(\frac{7}{4} )=\frac{7*6*5*4*3*2*1}{4*3*2*1*3!} \\\\(\frac{7}{4} )=\frac{5040}{4*3*2*1*3*2*1} \\\\(\frac{7}{4} )=\frac{5040}{144} \\\\(\frac{7}{4} )=35[/tex]

(d)

[tex](\frac{8}{2}) =\frac{8!}{2!(8-2)!} \\\\(\frac{8}{2}) =\frac{8*7*6*5*4*3*2*1}{2*1*6!} \\\\(\frac{8}{2}) =\frac{40320}{2*1*6*5*4*3*2*1}\\\\(\frac{8}{2}) =\frac{40320}{1440} \\\\(\frac{8}{2}) =28[/tex]

(e)

[tex](\frac{9}{8} )=\frac{9!}{8!(9-8)!} \\\\(\frac{9}{8} )=\frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1} \\\\(\frac{9}{8} )=\frac{362880}{40320} \\\\(\frac{9}{8} )=9[/tex]

(f)

[tex](\frac{10}{4} )=\frac{10!}{4!(10-4)!} \\\\(\frac{10}{4} )=\frac{10*9*8*7*6*5*4*3*2*1}{4*3*2*1*6!} \\\\(\frac{10}{4} )=\frac{3628800}{24*6*5*4*3*2*1} \\\\(\frac{10}{4} )=\frac{362880}{17280} \\\\(\frac{10}{4} )=21[/tex]

What is the range of the function f(x) = |x − 1| − 2? All real numbers all real numbers less than or equal to −2 all real numbers less than or equal to 1 all real numbers greater than or equal to −2

Answers

Answer:

B.)

Step-by-step explanation:

Took test

If 7+5x+9=−3x , then x=−2 . Drag and drop the reasons to correctly complete each box.

Answers

Answer:

Where are the reasons and boxes? Could you repost with more information or a picture please? Thank you!

Step-by-step explanation:

Will give brainliest ! Just need the answer thats all

Answers

Answer:

Brainliest here!

Step-by-step explanation:

for this, its every number thats either 0 or less than 0

B,D,E

The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached the
spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?​

Answers

Answer:

[tex]s = \frac{3}{10}m[/tex]

I hope this helps!

Answer: s=3/10m

Step-by-step explanation:

I took the math test in Edgenuity.

Hope this helps!

A classroom has a total of 26 students, 13 Students in the classroom are females and the rest are males. ​5 males students have long hair and 9 female students wear glasses. A Student is called to the principal's office. What is the probability that the student being called is female and ​does not ​wear glasses. Explain your answer...

Answers

Answer:

15%

Step-by-step explanation:

There is 26 students 13 are females of those 13 nine of them wear glasses if you subtract 13 minus 9 you are left with 4 and if you divide that 4 by 26 you get the percentage of girls without glasses which is 15%

Evaluate 4 - 2(a2 – b2)2 when a = 3 and b = 2.

Answers

Answer:

-46

Step-by-step explanation:

4 - 2(a^2 – b^2)^2 =

= 4 - 2(3^2 – 2^2)^2

= 4 - 2(9 - 4)^2

= 4 - 2(5)^2

= 4 - 2(25)

= 4 - 50

= -46

Answer:

= -46

Step-by-step explanation:

4 - 2(a² - b²)²

= 4 - 2(3² - 2²)²

= 4 - 2(9 - 4)²

= 4 - 2(5)²

= 4 - 2(25)

= 4 - 50

= -46

Nine subtracted from the product of 3 and a number is less than 23

Answers

Answer:

3n-9<23

You can use any variable you want for n

Answer:

32/3

Step-by-step explanation:

Nine subtracted from the product of 3 and a number is less than 23

-9                                                           3n                          < 23

3n-9 < 23

3n < 23+9

3n < 32

n  < 32/3

Don't forget to say THANKS

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