For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x).

Answers

Answer 1

Answer:

[tex](f-g)(x)=-x^{2}+2x+8[/tex]

Step-by-step explanation:

[tex]\left( f-g\right) \left( x\right) =f\left( x\right) -g\left( x\right)[/tex]

                [tex]=2x+1-\left( x^{2}-7\right)[/tex]

                [tex]=2x+1-x^{2}+7[/tex]

                [tex]=-x^{2}+2x+8[/tex]


Related Questions

HELPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

See below ↓↓

Step-by-step explanation:

(a) Most variability

Refers to the class with the biggest range⇒ Class D

(b) Highest scores on average

Refers to the class with the highest mean score⇒ Class C

Find the measure ments of angels 2, 3, and 4

Answers

Angle 3=85 because of opposite angles. Then a straight line is 180 degrees, so subtract 85 from 180, giving us 95. Angles 2 and 3 = 95.

Need help on this. can anyone help please?​

Answers

Answer:

it is B

Step-by-step explanation:

that's because line goes through (0,0)

How can you add eight fours together so the total adds up to 500?

Answers

Answer:

you can try Multiplying 8 over 1 and 4 over1

3 times what number equals 1

Answers

Answer:

1/3

Step-by-step explanation:

essentially saying 3x = 1 where x is the unknown number.

we now solve for x

x= 1/3

A hot air balloon travels 18 miles in 3 hours. At this rate, how many miles will it travel in 3/4 of an hour

Answers

Answer:

4.5 miles

Step-by-step explanation

Figure out how far the hot air balloon travelled in 1 hour - 3 hours can be divided by 3 for 1 hour, so do the same for the miles - 18 / 3 = 6

So basically, the hot air balloon travelled 6 miles in 1 hour.

Now, you can work out 3/4 of 6 for 3/4 of 1 hour - 3/4 * 6 = 4.5 miles

:)

Determine co-ordinates of the mid point of a line segment with endpoints at: L(12,8) and M(18,2)

Answers

Step-by-step explanation:

the formula for the mid point is:

{(x1 + x2)/2 , (y1 + y2)/2}

so using the formula we get:

(15, 5)

also are you sure that the question wants the midpoint? since the answer is not included in the choices

Answer:

C(15,3)

Step-by-step explanation:

Midpoint = [tex]\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2}[/tex]

               = [tex]\frac{12_{}+18_{} }{2}, \frac{8_{}+2_{} }{2}[/tex]

               = 15,5 (which is closest to C, i think there is a mistake in the        question as there is only one formula to find midpoint so y coordinate has to be 5)

Which angles are corresponding angles

Answers

Answer:

second option is correct onee

Step-by-step explanation:

mark me brainliest

Complete the table for f(x) = x2 + 2x - 3.
x -3 -2 -1 0 1
y=?

Answers

Answer:

x | -3  -2  -1   0  1

y | 0   -3  -4 -3  0

Step-by-step explanation:

f(x) = x² + 2x - 3

x = -3 then y = (-3)² + 2(-3) - 3 = 9 - 6 - 3 = 3 - 3 = 0

x = -2 then y = (-2)² + 2(-2) - 2 = 4 - 4 - 3 = 0 - 3 = -3

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

x = 0 then y = (0)² + 2(0) - 3 = 0 + 0 - 3 = 0 - 3 = -3

x = 1 then y = (1)² + 2(1) - 3 = 1 + 2 - 3 = 3 - 3 = 0

What is the surface area of this figure? Enter your answer in the box.

Answers

Answer:

915

Step-by-step explanation:

V=l*w*h V=1/2*b*h*l

V of the rectangular block: 15*5*8 = 600

V of the triangular prism--it's easiest to solve half of it, then just multiply that answer by 2: 1/2*5*7*9 = 157.5

When you double it, it cancels out the 1/2

157.5*2=315

315+600=915

It's 582ft I have noclue what dude is talking about

Step-by-step explanation:

Which of these numbers is the greatest?

0.36
0.63
0.631
0.361

Answers

Answer:

0.631

Step-by-step explanation:

Solve for X. Its geometry, will mark branliest

Answers

Answer:

x=4

Step-by-step explanation:

right triangle calculator works well

A cylinder has a volume of 825.192 cubic centimeters. The diameter of the cylinder is 12 cm. What is the height of the cylinder?

Answers

Answer:

Step-by-step explanation:

diameter = 12 cm

r = 12 ÷2 = 6cm

Volume of cylinder

[tex]\boxed{Volume=\pi r^{2}h}[/tex]

πr²h = 825.192 cubic cm

3.14 * 6 * 6 * h = 825.192

                   [tex]h =\dfrac{825.192}{3.14*6*6}[/tex]

                  h = 7.3 cm

Answer:

Height of cylinder is 7.3 cm

Step-by-step explanation:

Given :-

Diameter of cylinder is 12m , so radius would be 6mVolume of cylindrical is 825.192 cm³

To find :-

Height of cylinder

Solution:-

Volume of Cylinder = πr²h

825.192 cm³ = 3.14 × 6 × 6 × h

825.192/113.04 = h

7.3 cm = h

A movie theater is open x hours Monday through Thursday and y hours Friday through Sunday. Write an algebraic expression that represents the number of hours per week the theater is open

Answers

Answer: 4×+3y

Step-by-step explanation:

1. There are 4 days from Mon to Thurs. Since x hours are opened on each of the 4 days, we get 4x.

2. There are 3 days from Fri to Sun. Since y hours are opened on each of the 3 days, we get 3y.

In a week, it will just be the sum of 1 and 2, which is 4x+3y


Write a formula for function h in terms of function f.
h(x)=

Answers

Answer:

h(x) = f(x + 12) - 4

Step-by-step explanation:

According to the graph, the function h(x) is the translation of the function f(x) to the right and down.

Compare the coordinates of the vertices to write the formula

(- 6, 11) → (6, 7)x = 6 - (-6) = 12y = 7 - 11 = - 4

The formula is

h(x) = f(x + 12) - 4

Answer:

h(x) = f(x - 12) - 4

Step-by-step explanation:

The vertex is the turning point (stationary point or minima/maxima) of the graph.

To find the series of translations that transform the graph of y = f(x) onto y = h(x), compare the vertices of both graphs.

Vertices of given functions:

Vertex of f(x) = (-6, 11)Vertex of h(x) = (6, 7)

Differences

x-values:  6 - (-6) = 12y-values:  7 - 11 = -4

Therefore, y = f(x) has been:

translated 12 units righttranslated 4 units down

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Therefore:

f(x) translated 12 units right = f(x - 12)f(x - 12) translated 4 units down = f(x - 12) - 4

So the formula for h(x) in terms of f(x) is:

h(x) = f(x - 12) - 4

Learn more about transformations here:

brainly.com/question/27845947

What is the height of soil?

Answers

Answer:Eight to 12 inches is usually adequate. If drainage is a problem, or if the plants you are growing prefer drier soil, the bed could be taller and filled with a porous growing medium.

Step-by-step explanation:

Please help mee l don’t understand new topic please

Answers

Answer to first four-

first one- 2f+2f=60

4f=60

f=15

second one-18+2d=38

2d=20

d=10

(short side is 9)

third one-2a+a+5+a+5=26

4a+10=26

a=4

long side is 9

short side is 8

fourth one-3xy+3xy+xy=63

7xy=63

xy=9

long side is 27

Right triangles 1,2 and 3 are given to its all their angle measures and approximate side lengths

Choose one answer:

4.5 units
5.4 units
9.1 units
10.9 units

Answers

Answer:

5.4 units

Step-by-step explanation:

From the figure ,it's clear that   sin(50) = PQ/7

Then

PQ = 7×sin(50) = 5.362311101833

Therefore the approximate length of PQ I saw 5.4

what is 1,455.8 x 4,628.9?

Answers

Answer:

6738752.62

Step-by-step explanation:

1,455.8 x 4,628.9=6738752.62

Answer:

6738752.62

hope this helps

How many electrons can there be in the 5s subshell.

Answers

s orbital mentioned

Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10

Hence 5s contains 2electrons

Rule for electron in nth shell=2n²

What value of x is in the solution set of 4x - 12 S 16 + 8x?

Answers

You gave little context, so here is a few solutions.

POSSIBLE #1:

assuming s is a variable

---> Simplify  [tex]12S[/tex] × [tex]16[/tex] to [tex]192S[/tex]

[tex]4x-192S+8x[/tex]

--->  Collect like terms.

[tex](4x+8x)-192S[/tex]

---> Simplify.

[tex]12x-192S[/tex]

POSSIBLE #2: (assuming s is not relevant)

Simplifying

4x + -12 = 16 + 8x

Reorder the terms:

-12 + 4x = 16 + 8x

Solving

-12 + 4x = 16 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

-12 + 4x + -8x = 16 + 8x + -8x

Combine like terms: 4x + -8x = -4x

-12 + -4x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0

-12 + -4x = 16 + 0

-12 + -4x = 16

Add '12' to each side of the equation.

-12 + 12 + -4x = 16 + 12

Combine like terms: -12 + 12 = 0

0 + -4x = 16 + 12

-4x = 16 + 12

Combine like terms: 16 + 12 = 28

-4x = 28

Divide each side by '-4'.

x = -7

Simplifying

x = -7

If there are any other ways to solve this please add more context in the comments below this answer! Hope this was helpful! Have a marvelous day/night!

PLEASE HELP

What is the middle term of the product of (x - 4)(x - 3)?
A. x
B. -7 x
C. - x

Answers

Answer:

x^2−7x+12      so -7x

Step-by-step explanation:

Need help with math!!!!

Answers

Answer:

The difference is approxiametly 8

Step-by-step explanation:

Things need to know

Whole number = Number on the left side of the mixed fraction

Numerator = Number on top of fraction

Denominator = Number on bottom of fraction

How to convert mixed numbers into improper fractions = Multiply denominator by whole number and then add that to the numerator

How to turn improper factions into decimals = Divide numerator by denominator

Improper fraction = A fraction where the numerator is greater than the denominator

Mixed fraction = A whole number and a proper fraction mixed together

For the first mixed number:

[tex]9 \dfrac{ 52 }{ 69 }[/tex]

9 = whole number

52 = numerator

69 = denominator

For the second mixed number:

[tex]1 \dfrac{ 29 }{ 50 }[/tex]

1 = whole number

29 = numerator

50 = denominator

Given:

[tex]9 \dfrac{ 52 }{ 69 } -1 \dfrac{ 29 }{ 50 }[/tex]

Convert mixed numbers into improper fractions

[tex]\dfrac{ 673 }{ 69 } - \dfrac{ 79 }{ 50 }[/tex]

Turn improper factions into decimals

[tex]9.753623188405797-1.58[/tex]

Round both numbers to the nearest whole number

[tex]10-2[/tex]

Subtract 2 from 10

[tex]8[/tex]

Answer: 8

What is 53 times 6987 times 34 plus 67964?

Answers

Answer:

The answer is 12,658,538

Step-by-step explanation:

53 times 6,987 = 370,311

370,311 times 34 = 12,590,574

12,590,574 plus 67964 = 12,658,538

Answer:

12,658,538

Step-by-step explanation:

I used a calculator

Multiple choice math question. Question #15

Answers

Answer:

that would also be car 1, because in a rotation like that its like you do a spin and come back to the same position, that is a 360 rotation.

Answer:

the answer is car 1

Step-by-step explanation:

a hen average of 5.5 eggs each week if she lays a certain numbers a week

Answers

Answer:

Step-by-step explanation:

question doesnt make sense

Solve.

18,923,612 - 9,089,689
A. 9,833,023
B. 9,833,923
C. 9,933,923
D. 27,613,301

Answers

Answer:

B

Step-by-step explanation:

9833923

How do i solve this?

Answers

Usually I would use my head, but you can use whatever you want.

Line a passes through the points (-2,1) and (1,-1). Line b passes through the points (-3,2) and (-1,0). DO lines a and b intersect? Explain.

Answers

Answer:

You can draw a graph.

  (-3,2)                     |

            (-2,1)            |          

      ___.__(-1,0)__ | __.____.___

                                |     (1,-1)

                                |

                                |

As shown, the lines are intersecting. You can also tell that they are intersecting because if you draw a triangle, they are on the same line. (-3,2) and (-2,1) are directly diagonally from each other.

Hope this helps!

What is the value of x? Your answer may be exact or rounded to the
nearest tenth.

Answers

91 because the one on the left tip and top equal the outside always!!! hope this helps!!

The value of x in the given figure is 91 degrees.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find the value of x in the given figure.

To find x, firstly we need to find the unknown interior angle.

By Angle sum property the sum of three angles of a triangle is 180 degrees.

a+54+37=180

a+91=180

Now subtract 91 from both sides

a=180-91

a=89 degrees.

Now let us find the value of x which is adjacent to 89 degrees.

The sum should be 180 degrees

a+x=180

89+x=180

Subtract 89 from both sides

x=91 degrees

Hence, the value of x in the given figure is 91 degrees.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ7

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