Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().​

Answers

Answer 1

Answer:

We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]

Step-by-step explanation:

We are given:

[tex]f(x) = -3x - 3\\ g(x) = x^2 + 5[/tex]

We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))

We would simply subtract f(x) and g(x)

[tex](f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8[/tex]

So, We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]


Related Questions

find the value of x and y

Answers

Answer: y is 40 x is 60

Step-by-step explanation:

Answer:

x=40 and y =5

Step-by-step explanation:

the value of the 7 in 0.076 is 1/10 the value of the 7 in 2.79

Answers

Answer:

true

Step-by-step explanation:

the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place

I agree...................

In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.

Triangle D E F has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments D C, E B, F A.

[Figure may not be drawn to sacle]

What is DG?

12 units
17 units
34 units
51 units

Answers

A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.

What is a triangle?

A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

Given that,

There is a triangle ΔDEF.

The centroid of the given triangle is G.

The medians of the triangle are DC, EB and FA.

CG = (x + 5)

DG = (3x - 2)

Here, CG and DG are parts of the median DC.

Since, centroid of a triangle divides its each medians into the ratio of 2 : 1

in the direction from the vertex to the midpoint of the opposite side.

The following expression can be written for the given problem,

DG/CG = 1/2

=> (3x - 2)/ (x + 5) = 1/2

=> 2(3x - 2) = x + 5

=> 6x - x = 5 + 4

=> x = 9/5

=> x = 1.8

Thus, DG = (3x - 2)

                = 3 × 1.8 - 2

                = 2.4

Hence, the length of DG is given as 2.4 unit.

To know more about triangle click on,

https://brainly.com/question/2773823

#SPJ1

Answer:

34 units

Step-by-step explanation:

The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.

158, 155,152,...

Find the 34th term.

Answers

Answer:

56

Step-by-step explanation:

158 - ( 3 * 34) = 56

please help me with math ;-;

Answers

Answer:

1. y= -2/5x+3

2. y= 3x-2

3. y= -1/2+0

Step-by-step explanation:

The formula for a linear equation is y=mx+b with

m=slope

and b= the y-intercept.

help me please! thanks:)

Answers

Answer:

Question 1. 1st option

Question 2. 3rd option

Question 3. 3rd option

1. A. 6/15 and 10/15 it is the only one that makes sense
2.C. 6/10 simplified = 3/5 so 3-5 and 1/5
3.C. 12/100= 3/25 and 125/100= 5/4

Hope this helps

Have a great day

~.❤~Please Answer~❤.~

Answers

Answer:

True

hope it helps!

Step-by-step explanation:

it’s true
hope this helped u clarify c:

14 + 3 = 50 - 6

Please let me know quick with solving steps!

Answers

Answer:

Can you show me a picture, that would help.

So, I need to find out, how long one of the side lengths of the orange square is. the square is in the semicircle. you do not have any numbers given, and should use just letters.
thanks in Advance​

Answers

Answer:

Assuming the square and the semicircle aren't merged somehow, and we need to calculate their full area, we should take into account:

Area of a square:

(Side length)² = 22² = 484 square inches

Area of a circle with a diameter of 22inch:

3'14 · (radius)² = 3'14 · 11² = 379'94 square inches

Since we have half a circle, the total areas to add will be:

1/2 · 379'94 + 484 = 673'97

Step-by-step explanation:

HELP PLSSSS LOL!!!!!!!

Answers

Answer:

1.=scalene+acute . 2. equilateral .  3. obtuse+scalene .  4. isosceles+right .  5. scalene+acute(cant tell exactly)  6. acute+isosceles .  7. right+isosceles . 8. isosceles + obtuse

Step-by-step explanation:

look at pictures

Where would be located on the number line below?


between P and Q
between Q and R
between M and N
between N and P

Answers

Between p and q is the one

55% of the cookies Joel baked had chocolate chips. If Joel baked 77 cookies with chocolate chips, how many cookies did he bake?

Answers

Answer:

140 cookies

Step-by-step explanation:

To solve this question all we have to do is divide 77 by 0.55

Why 0.55 because 0.55 is the decimal version of 55%

once we divide 77 by 0.55 that will give us our answer of 140 cookies.

Now to check our answer:

If Joel made 140 cookies and 77 of those cookies are chocolate chip that would leave us with 63 cookies without chocolate chips. If we estimate our answer then 63 cookies would make total sense since we know that 55% = 77

then the other 45% would have to equal around 60-70 cookies

plz mark me brainliest if correct :)

Select the three situations that model a sum of zero.
Explain your answer. ​

Answers

i believe it’s the first third and fourth because, 10 and -10 cancel out to 0, moving 12 and going -12 back also cancels out and the car returns to the ground so the toy car ends in the same place it started

Answer:

Step-by-step explanation:

1,2,4

Find x.
Side splitter theorem

Answers

Answer:

x = 9

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{8}{8+4}[/tex] = [tex]\frac{x-3}{x}[/tex] , that is

[tex]\frac{8}{12}[/tex] = [tex]\frac{x-3}{x}[/tex] ( cross- multiply )

12(x - 3) = 8x

12x - 36 = 8x ( subtract 8x from both sides )

4x - 36 = 0 ( add 36 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

pls help me and hve a nice day ;p

Answers

Step-by-step explanation:

km²

make it braintliest please

hi please help me , if u dont mind

Answers

Answer:

C or B

Step-by-step explanation:

Answer: i believe it would be B

Step-by-step explanation: Basically the graph points keep moving up.

HELPPPP

Predict the number of sales in month 5.
The store sold fewer blue jeans
after the
new pants became popular.
Enter the correct answer.
7904
3952
1976
988
?

Answers

494 is the correct answer i got it right on edmentum
494
Explanation: the sales are being cut in half every month
Yw. ;)

what is an equation of the line that passes through the point (-6,-1) and is perpendicular to the line 6x-y=7? (has to be in y=mx+b form)

Answers

Answer:

y = [tex]-\frac{1}{6}[/tex] x - 2

Step-by-step explanation:

Slopes of perpendicular lines are opposite reciprocals.

If AB ⊥ CD , then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

~~~~~~~~~~~

6x - y = 7 ⇔ y = 6x - 7

Slope of given line is 6

Slope of a perpendicular line is [tex]-\frac{1}{6}[/tex]

( - 6, - 1 )

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

y = [tex]-\frac{1}{6}[/tex] x - 2

Solve the following word problem using two variables. Show each step of your work.

John is five years older than Maya. The sum of their ages is 27. Find both ages.

Answers

Answer:

John is 16 and Maya is 11

Step-by-step explanation:

x=Maya's age

x+5=John's age

x+x+5=27

2x+5=27

     -5   -5

2x=22

/2    /2

x=11

x+5=

11+5= 16

. Mark's profile picture is 4 inches tall, but his actual height is 76 inches. What is the scale factor from his profile picture to his actual height?

Scale factor =
19
72
16
38
3b. If the profile picture of Mark's sister is 3.5 inches tall, how tall is her actual height?
Her actual height is _____ inches.
70
82
59.5
66.5

Answers

Step-by-step explanation:

Answer: 19, because all you´re doing for mark is dividing his actual height from the profile picture.

Marks sister: 66.5, because you will take her height (3.5) and you will put x over 3.5 in fraction form. Then you will take marks profile picture height, and put it in fraction form (76 over 4) then you will cross multiply 3.5 and 76 which will give you 266. Then you´ll divide 266 by 4 which would give you 66.5

ILL GIVE BRAINLIEST


An angle measures 100° less than the measure of its supplementary angle. What is the measure of each angle? _° and _°​

Answers

Answer:

Step-by-step explanation:

the sum of supplementary angles equal to 180

let x=angle

180-x= the other angle

180-x=x-100

2x=280

x=140

the other angle is 40

Which equation represents the relationship between z and y shown in the table?


a) y= 1/2x - 4
b)y= 2x - 3
c)y= 2x + 1
d)y= 1/2x + 4

Answers

Answer:

its c

Step-by-step explanation:

to took it

Answer:

B

Step-by-step explanation:

8.5675859

rational or irrational ?

Answers

Answer: irrational

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

find the measurement indicated in each parallelogram please help!

Answers

Answer:

UW = EW+UE=2×EW because, EW=UE

7x-2=2×6= 12

7x=14

x=14/7

x=2

2 is the right answer.

x + 80 = 180 - (64 + 36)

x + 80 = 180 - 100

x + 80 = 80

x = 0

0 is the right answer.

Pls help ASAP it’s math

Answers

Answer:

5

Step-by-step explanation:

the image shows VW and SR to be congruent therefore the difference is 10 between the sizes. to find SP you subtract 10 from TW

15 - 10 = 5

Who is ASAP and why do I need to help them

Evaluate -x + 8 for x = 5.​

Answers

Answer:

3 is the answer

Step-by-step explanation:

-(5)+8

-5+8=3

you just change x for 5  and go from there

PLEASE MARK BRAINLIEST!

In this problem, you have to use substitution!

-x + 8, when x = 5

1) Substitute the value of 'x' with '5'

   -x + 8

= -5 + 8

2) Reverse the expression to make it easier to solve [optional]

  -5 + 8

= 8 - 5

3) Solve!

   8 - 5

= 3

Your answer is 3

I hope this helps!

- sincerelynini

What is the square root of 100?

Answers

Answer:

the square root of 100 is 10

10x10=100

Answer:

the square root of 100 is 10

Step-by-step explanation:

Which two properties characterize an air mass?

Answers

Answer:

Step-by-step explanation: Air masses are given a two-part name that describes the humidity and temperature characteristics of the region where they form

Answer:

Air masses have fairly uniform temperature and moisture content in horizontal direction (but not uniform in vertical).

Step-by-step explanation:

Looked it up

4.5m is ____ % of 90 cm; 90 cm is ____ % of 4.5m

Answers

Answer:

4.5m is  450%

90cm is 45%

Step-by-step explanation:

ANSWER IT QUICKLY PLEASE I NEED IT AS SOON AS POSSIBLE

Vertical stretch by a factor of 6, reflected about the x-axis, horizontally
translated 8 units to the left, vertically translated up 9 units:

Answers

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