If f(x) = 1-x2 and g(x) = 1 - x which is the rule of function (f – g)(x)?

Answers

Answer 1

Answer:

-x^2 +x

Step-by-step explanation:

f(x) = 1-x^2

g(x) = 1 - x

f(x) - g(x) = 1-x^2  - (1 - x )

Distribute the minus sign

              = 1-x^2 -1 +x

Combine like terms

             = -x^2 +x


Related Questions

Each of forty-six pet owners was asked, "Does your pet eat more wet food or dry food?" Here are the results. 9 cat owners and 13 dog owners chose "Wet food". 10 cat owners and 14 dog owners chose "Dry food". Construct a two-way frequency table for the data.

Answers

Answer:

                          Cat owner           Dog owner           Total

Wet food                    9                         13                    22

Dry food                    10                        14                     24

Total                          19                        27                     46

Step-by-step explanation:

It is given that 9 cat owners and 13 dog owners chose "Wet food". 10 cat owners and 14 dog owners chose "Dry food".

Cat owners-Wet food = 9

Dog owners-Wet food =13

Cat owners-Dry food = 10

Dog owners-Dry food =14

We need to construct a two-way frequency table for the data.

Take owners in the first row and type of food in first column and construct a two-way frequency as shown below:

                          Cat owner           Dog owner           Total

Wet food                    9                         13                    22

Dry food                    10                        14                     24

Total                          19                        27                     46

volume of a cylinder with a radius of 3 and a height of 2

Answers

Answer:

56.52

Step-by-step explanation:

V=πr²h

V=3.14*3²*2=56.52

Use synthetic division to solve (x^3-x^2-17x-15) divided by (x-5). What is the quotient?

Answers

Answer:

The answer would be x^2+4x+3

Step-by-step explanation:

Answer:

A. x^2+4x+3!!!

just took it on edg!

Which is a simplified form of the expression -6a + 2(2a + 2)? A. -2a + 4 B. -2a – 4 C. 2a + 4 D. 2a – 4

Answers

Answer:

A)

Step-by-step explanation:

-6a + 2(2a + 2)  =  -6a + 4a + 4

= -2a + 4

PLEASE PLEAE PLEASE!!!! HELP ME

Answers

Answer:

My best answer. Hope this helps...

Step-by-step explanation:

You can see 1 full square in the triangle.

There are also 3 half squares.

The top part of the triangle also equals to 1 half square.

On the bottom right side, you have two shapes that add up to a square.

4 half squares = 2 full squares.

2 + 1 + 1 = 4

The square also has 4 squares.

Which of the binomials below is a factor of this
trinomial?
x^2-3x - 10

O A. X-1
O B. x+ 2
O C. X+1
O D. X-2​

Answers

I think B. x+2


...
..

Answer:

[tex](x + 2)[/tex]

Answer B is correct

Step-by-step explanation:

[tex] {x}^{2} - 3x - 10 \\ {x}^{2} - 5x + 2x - 10 \\ x(x - 5) + 2(x - 5) \\ = (x +2 ) (x - 5)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Please answer CORRECTLY !!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!

Answers

Answer:

x^2+8

Step-by-step explanation:

x+1*x+7

A triangular flag has a height of 16 inches and a base of 24 inches. Which formula represents how to find the area of the triangle?
2 points

A.

B.

C.

D.

Answers

Answer:

A= 1/2bh

Step-by-step explanation:

The answer is the Area= 1/2 * base * height

In the word hippopotami. What fraction of the letters are Ps?

Answers

Answer:

3/11

Step-by-step explanation:

There are 11 letters in "hippopotami" and 3 of those letters are P, so the fraction of letters that are p is 3/11. Fractions are part of the whole and the part here is 3.

Answer:

3.3333333333333333333333

Five out of six residents of Mayville have library cards. Which tool will best allow Darren to simulate this scenario and predict whether a randomly chosen resident has a library card?

Answers

Answer:

A number cube

Step-by-step explanation:

A coin a 5-sector spinner a number cube a bag of 11 marbles

A number cube is the best to simulate this scenario and predict whether a randomly chosen resident has a library card.

As Coin has only 2 outcomes "Head" and "Tail".

A 5-sector sector spinner has only 5 outcomes we need six outcomes.

A bag of 11 marbles has no differentiated with respect to colors etc.

Hence, A number cube is correct to chosen five out of six residents of Mayville have library cards.

Answer:

c

Step-by-step explanation:

I want to know what is 600 minutes to days

Answers

Answer:

[tex]0.416667[/tex] of a day

Step-by-step explanation:

To get minutes to days you divide the minutes by the amount of minutes in a day which is 1440

[tex]\frac{600}{1440} \\0.416667[/tex]

Answer:

0.417 day

Step-by-step explanation:

First divide 600 by 60 the answer is 10 hours and then divide by 24 the answer would be 0.41666667 days

apply the function transformation of g(x)=f(x-2)+4 to f(x)=x^3-8. describe the transformation and find the final form of the function after the transformation

Answers

Answer:

g(x) = (x - 2)^3 - 4

Step-by-step explanation:

first, the function f is shifted to the right by 2 units and then shifted up by 4 units

Factor the expression below.
4x² - 1
A. (x - 1)(4x - 1)
B. (2xE 1)(2x + 1)
C. (x - 1)(4x + 1)
D. (2x - 1)(2x - 1).

Answers

Answer:

The answer is (2x-1)(2x+1)

Step-by-step explanation:

4x²-1 can be factorised using difference if two squares

Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!

Answers

The answer is d

Domain is just all x values

regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during the rotation?

Answers

Answer:

Step-by-step explanation:

because A regular octagon is a closed figure with sides of the same length and internal angles of the same size. so if it is rotated 360 degrees it should coincide with its preimage after every 45 degrees.

so 360/45= 8 times

Answer:

8 times

Step-by-step explanation:

An octagon has eight sides of equal length and eight angles of same measure. So, If it is rotated 360 degrees about its center. It would coincide with all of its 8 sides. So, it will coincide with it's pre-image 8 times.

What is the distance, in units, between the points (3, -2) and (7, 5)?

Answers

Answer:

Step-by-step explanation:

Hope it helped

Answer:

√65 (units)

Step-by-step explanation:

A(3, -2) and B(7, 5)

AB=√ [(xB-xA)²+(yB-yA)²]

AB=√ [(7-3)²+(5+2)²]=√(16+49)

AB=√65 (units)

What is the power of an athlete weighing 960 N that runs through a flight of stair case in 2 mins? There are 100 stairs and each stair case has a length of 100 mm


PLS ANSWER

Answers

Answer:

Power, P = 80 W

Step-by-step explanation:

We have,

Weight of athlete is 960 N

It runs through a flight of stair case in 2 mins or 120 second

There are 100 stairs and each stair case has a length of 100 mm  or 0.1 m

Power is given by :

[tex]P=\dfrac{Fd}{t}[/tex]

d is distance

For 100 stairs,

So,

[tex]P=\dfrac{960\times 100\times 0.1}{120}\\\\P=80\ W[/tex]

So, the power of an athlete is 80 watts.

To eliminate the terms and solve for y in the tewest steps, by which constants should the equations be multiplied by before
adding the equations together?

Answers

Answer:

the equation is not shown...

Step-by-step explanation:

but to solve for y you should use the first equation that is use the coefficient of x in the first equation to multiply all the terms in the second equation.

And use the coeffient of x in the second equation to multiply the the terms in the first equation.

It would have been better if the equation was shown for better explanation.

There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random fròm the bag,the colour is noted and then is replaced. Another marble is taken at random. What is the probability of getting 2 blues

Answers

Hi there!

Answer:

1/6

Explanation:

The first probability of getting blue is 4 out of the total marbles so 4/9.

The second time there are only 3 blue marbles out of 8 now so 3/8.

So the answer is 4/9X3/8

which equals 12/72 or 1/6

Hope this helps!

Simplify the expression (64)2

Answers

Answer:

128 or 4,096

Step-by-step explanation:

If its 64 x 2 then 128 or if you are implying 64, to the power of two, (64x64) then your answer is 4,096.

The simplified value is 4096.

what is algebric identities?

Algebraic identities are equations where the value of the left-hand side of the equation is identically equal to the value of the right-hand side of the equation. Unlike algebraic expressions, algebraic identities satisfy all the values of the variables.

The basic algebraic identities are primarily helpful to work out the numerous math problems. The four basic algebraic identities are as follows.

(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²(a + b)(a - b) = a² - b²(x + a)(x + b) = x² + x(a + b) + ab

Given:

64²

Now, we have to split the 64 into 60+4

(60 + 4)²

Now using the algebric identity

(a+ b)² = a² + b² + 2ab

So,

(60 + 4)²

=60²+2*60*4+4²

=3600+ 480+16

=3600+496

=4096

Hence, the simplified value is 4096.

Learn more about Algebraic identities here:

https://brainly.com/question/19426180

#SPJ2

round 128.599 to 3 decimal places

Answers

Answer:

PLEASE APPRECIATE IT

Step-by-step explanation:

129

In science class, Liz learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen each year. Liz wonders how much oxygen the trees on her street make. When she gets home, she counts 32 trees on her street. How many tons of oxygen do they make in a year? tons

Answers

Answer: The answer is 8000 pounds, or 4 tons

Step-by-step explanation:

This is true because each tree makes about 250 pounds of oxygen. She counted 32 so.....

(32)(250)=8000

then convert 8000 pounds to tons and you get 4 tons

Find the distance from the point (1,4) to the line y = 1/3x - 3

Answers

Answer:

Step-by-step explanation:

If I'm not mistaken, and I very well could be, this is a calculus problem(?). In order to find the distance without calculus you'd need a point on the given line to use to find the distance in the distance formula. But you don't have a point on the given line, so we can find the shortest distance between the point (1, 4) and the given line using the derivative of the polynomial formed when using the distance formula.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] and we have the x and y for x2 (or x1...it doesn't matter which you choose to fill in):

[tex]d=\sqrt{(1-x)^2+(4-y)^2}[/tex]

but what we find is that we have too many unknowns here, namely, the distance, the x coordinate, and the y coordinate. So we can replace the y coordinate with what y is equal to in terms of the linear equation:

[tex]d=\sqrt{(1-x)^2+(4-\frac{1}{3}x-3)^2 }[/tex] and simplify:

[tex]d=\sqrt{(1-x)^2+(7-\frac{1}{3}x)^2 }[/tex]

. No we'll expand each binomial by squaring:

[tex]d=\sqrt{(1-2x+x^2)+(49-\frac{14}{3}x+\frac{1}{9}x^2) }[/tex]

.  Combining like terms gives us

[tex]d=\sqrt{\frac{10}{9}x^2-\frac{20}{3}x+50 }[/tex]

The distance between the point (1, 4) and the given line will be at a minimum when the polynomial above is at a minimum. We find the value of x for which the polynomial is at a minimum by finding its derivative, setting the derivative equal to 0, and then solving for x. The derivative of the polynomial is

[tex]\frac{20}{9}x-\frac{20}{3}[/tex]

Setting equal to 0 and getting rid of the denominators gives us

20x - 60 = 0

Solving for x gives us

20x = 60 and x = 3.

That's the value of x that gives us the shortest distance between (1, 4) and the line y = 1/3x - 3. Sub into the distance formula that x value to find the distance:

[tex]d=\sqrt{(\frac{10}{9})(3)^2-(\frac{20}{3})(3)+50 }[/tex]

which simplifies down, finally, to

x ≈ 6.325 units

is 11/7 and 77/63 equivalent?

is 3/5 and 45/75 equivalent?

is 1/8 and 10/80 equivalent?

is 2/9 and 18/81 equivalent?

Answers

Answer:

11/7 = (11 x 9)/(7 x 9) = 99/63 > 77/63

3/5 = (3 x 15)/(5 x 15) = 45/75

1/8 = (1 x 10)/(8 x 10) = 10/80

2/9 = (2 x 9)/(9 x 9) = 18/81

Hope this helps!

:)

What is the supplement of ∠A if m∠A = 78°?

Answers

Answer:

The supplement is 102

Step-by-step explanation:

Supplementary angles add to 180 degrees

Let x be the supplement

x+ 78 = 180

subtract 78 from each side

x+78-78 = 180-78

x = 102

Answer:

102

Step-by-step explanation:

Cynthia earns $680 in commissions and is paid $10.25 per hour. Javier earns $410 in commissions and is paid 12.50 per hour. What will you find if you solve for x in the equation 10.25x + 680 = 12.5x +410.

Answers

Answer:

x = 120

Step-by-step explanation:

10.25x + 680 = 12.5x +410.

Subtract 10.25x from each side

10.25x-10.25x + 680 = 12.5x-10.25x +410.

680 = 2.25x +410

Subtract 410 from each side

680-410 = 2.25x +410-410

270 = 2.25x

Divide each side by 2.25

270/2.25 =2.25x/2.25

120=x

31 points!

Find x.
A: 8
B: √8
C: 16
D: 4√2

Answers

Answer:

Answer is (A) 8

Step-by-step explanation:

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

side of square is 2-x

Step-by-step explanation:

Area of the square is side * side  or side ², so the expression for the side has to be square root of area

A = 4 -4x + x²

It should be recognized that 4 -4x + x²is a special product ( 2-x)² because this is a perfect square trinomial

side of square is 2-x

can someone help me expand this polynomial?

Answers

Answer:

Step-by-step explanation:

(k-p)(k-n)

=k^2 -(p+n)k+pn

this is the expanded form..

please mark me as the brainliest

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Multiply the first 2 terms in each brackets

k x k = k^2

Multiply the two outside terms in the brackets

k x - n = -kn

Multiply the two inside terms

-p x k = -pk

Multiply the last two terms

-p x -n = pn

Place all the values together to get your answer of:

k^2 - kn - pk + pn

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Stay Brainly! ヅ    

- Ally ✧    

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1) The perimeter of a rectangular classroom floor is 90 feet. The length of the floor is twice the
width. Which equation would NOT help us solve for the length and width of the classroom? Show your
your
work on
scratch paper. *
x + 2y = 90
x = 2y
2(2y) + 2y = 90
2x + 2y = 90​

Answers

Answer: The equation would NOT help us solve for the length and width of the classroom is "[tex]x + 2y = 90[/tex]".

Step-by-step explanation:

Let y be the width of the rectangular classroom floor and x be the length of the rectangular classroom floor .

Given ,

The perimeter of a rectangular classroom floor is 90 feet.

The length of the floor is twice the  width.

i.e. Length =2 (width)

i.e. x= 2y ..(i)

Also, perimeter = 2(length+width)

[tex]i.e. 2(x+y)=90\\\\\Rightarrow\ 2x+2y=90[/tex]

When we put value of x from (i), we get

[tex]2(2y) + 2y = 90[/tex]

Hence, the equation would NOT help us solve for the length and width of the classroom is "[tex]x + 2y = 90[/tex]".

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