If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).

Answers

Answer 1

Answer:

(f - g)(x) = 2x - 3

Step-by-step explanation:

(f - g)(x) is defined as subtracting the whole g(x) function from the f(x) function.

Hence, we can define it as:

(3x - 1) - (x + 2)

= 3x - x - 1 - 2

= 2x - 3

Therefore, (f - g)(x) = 2x - 3.

Hope this helped!


Related Questions

write the polynomial in standard form given these zeros [-1; 3; 4]

Answers

Answer:

ummmm donooo

what sis this

marking brainiiest Emery makes $15 per hour in addition to 2.25% commission on her sales each week. If her sales were $3,200 last week, how much will Emery be paid if she worked 38 hours?

Answers

Answer:

Step-by-step explanation:

Emery is paid 15 dollars an hour and she worked 38 hours

15*38=570 dollars just from the hourly wage

the commission is 2.25% and her sales were 3,200 dollars

(3200*2.25)/100=72

total=570+72=642

I WILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECT!!

The school library received a donation of 42 boxes of books. Each box contains 15-18 books. The library has 10 empty bookshelves. Each bookshelf can hold up to 60 books. Does the library have enough shelf space for all the new books? Explain how you solved the problem.

Answers

Answer:

No the school libary doesn not have enough pace for all the books. If the least amount of books came which is 15 books in all of 42 boxes (15*42), it would be 630 books and the school libary shelf can only hold 600 books becuase 10 shelves * 60 books on each shelf is 10*60 which is 600. If the least amount of books can’t even fit then the others wold defietnly not fit.

is this gear reduction direct drive or overdrive

Answers

Answer:

overdrive

Step-by-step explanation:

i have nun but thuis it

Answer:

overdrive

Step-by-step explanation:

gear reduction. refers to the 5th and 6th gear

Two adjacent sides of a parallelogram are 7cm and 10cm respectively.Find its perimeter​

Answers

Answer:

[tex]Perimeter = 34cm[/tex]

Step-by-step explanation:

Given

Represent the adjacent sides with A and B

[tex]A= 7cm[/tex]

[tex]B = 10cm[/tex]

Required

Determine the perimeter

The perimeter is calculated as follows;

[tex]Perimeter = 2 * (L + B)[/tex]

[tex]Perimeter = 2 * (7cm + 10cm)[/tex]

[tex]Perimeter = 2 * (17cm)[/tex]

[tex]Perimeter = 2 * 17cm[/tex]

[tex]Perimeter = 34cm[/tex]

can someone please help!?

Answers

Answer:

x = 44.4°

Step-by-step explanation:

Use SOHCAHTOA.

In this case, use sine trigonometric function formula

[tex] \sin(x) = \frac{o}{h} [/tex]

The opposite side of angle is 7.

The hypoteneuse is 10.

So,

[tex] \sin(x) = \frac{7}{10} \\ x = \sin ^{ - 1} ( \frac{7}{10} ) \\ x = {44.427}^{o} \\ x = {44.4}^{o} [/tex]

9514 1404 393

Answer:

  44.4°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  sin(x) = 7/10

  x = arcsin(7/10)

  x = 44.4°

- A box contains 7 apples and 5 oranges. The pieces of fruit are taken out of the box, one at a
time and in a random order. What is the probability that the bowl will be empty after the last
apple is taken from the box?​

Answers

Answer:

The value is [tex]P( O \ and \ A ) = 0.583[/tex]

Step-by-step explanation:

From the question we are told that

   The  number of apples is  [tex]A = 7[/tex]

   The  number of oranges is  [tex]R = 5[/tex]

Generally the probability that the bowl will be empty after the last apple  is taken from the box is mathematically represented as

  The probability that  5 oranges   and 7 apples are drawn in the 1st 11 draws

So

      [tex]P( O \ and \ A ) = \frac{(^5 C_5) * (^7 C_6) }{^{12} C_{11}}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

      [tex]P( O \ and \ A ) = \frac{(1 * 7 )}{12}[/tex]

=> [tex]P( O \ and \ A ) = 0.583[/tex]

A rectangular box has a volume of 108 cubic feet. How many cubic yards are in the volume of this box?

Answers

Answer:

3.996yd³

Step-by-step explanation:

A rectangular box has a volume of 108 cubic feet. How many cubic yards are in the volume of this box?

Given

Volume of a box = 108ft³

We are to convert the dimension to cubic yards. Using the conversion factor

1 ft³ =  0.0370yd³

108ft³ = x

Cross multiply

1 * x = 108 *  0.0370

x = 3.996

Hence the value in cubic yards is 3.996yd³

Answer:

Since there are 3 feet to a yard, there are $3^3=27$ cubic feet to a cubic yard. Thus, there are $108/27=\boxed{4}$ cubic yards in the volume of the box.

Can you please help do not understand

Answers

The first blank on the left side should be 0 I think

To test whether an integer, $n$, is prime, it is enough to be sure that none of the primes less than or equal to the square root of $n$ divide $n$. If you want to check that a number between 900 and 950 is prime with this rule, what is the largest prime divisor you need to test

Answers

Answer:

the largest divisor is less than the square root of that number

Step-by-step explanation:

Pick any number between 900 and 950 . For example I choose 937 . Now taking the square root of 937 would give 30.61

So divide 937 with all the primes less  than 30.61

937/2, 937/3, 937/5,...................937/29

29 would be the largest divisor which is less than the square root of 937 .

29< 30.61

But if you check 937 does not divide wholly with any of the primes hence it is a prime number itself.

If any number such 925 is chosen and it gets divided wholly by another prime like 5

925 /5= 185  so it is not a prime number

Permutations and Combinations : wake up cereal comes in 2 types, crispy and crunchy. If a researcher has 10 boxes of each, how many ways can he select three boxes of each for a quality control test?

Answers

Answer:

I'm pretty sure theres 11 ways

um i am not sure! i really am eed help! happy holidays too.

Answers

It would be 200 cds as one equals 10g and 10g times 200 equals 2000g( 2kg)

Vuu try further gridiron

Answers

Answer:

A. M and P

Step-by-step explanation:

To be perpendicular, they only need to have opposite reciprocal slope. For example, the lines, y=3x+8 and y= -(1/3)x-3 would be perpendicular because -1/3 is the opposite reciprocal of 3.

Two doctors is % of 25 doctors


=_____%

Answers

Answer:

50

Step-by-step explanation:

Answer:

I believe it is 5 percent

Step-by-step explanation:

Hope it helps and is right.

I have 86 chocolate chip cookies and 42 sugar cookies what is the greatest number of identical packages that I can make

Answers

Step-by-step explanation:

Given that,

No. of chocolate chip cookies = 86

No. of sugar cookies = 42

We need to find the number of identical packages that I can make.

It means we need to find the HCF of these 2 number.

Prime factorization of 86 and 42 as follows :

86 = 2 x 43

42 = 2 x 3 x 7

HCF = 2

Hence, I can make 2 identical packages.

Answer:

Assuming there can only be 2 cookies per identical package, She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookie.

86 / 2 = 43 chocolate chips cookies

42 / 1 = 42 sugar cookies

With the sugar cookies not having the capability to match the requirements we will assume for this answer that an "Identical Package" is composed of 2 chocolate chip cookies, and a single sugar cookie.

A women drives her car 168 miles in 3 hours. At this rate how far will she travel in 5 hours?

Answers

Answer:

280mph

Step-by-step explanation:

168 divided by 3 = mph

Times 5 = Answer

find the measure of the line segment RB​

Answers

9514 1404 393

Answer:

  RB = 16

Step-by-step explanation:

When chords cross, the product of the lengths of the pieces of the chord is the same for all:

  RB·RD = RE·RC

  RB = RE·RC/RD = 8·14/7 = 8·2

  RB = 16

RB = 16

Merry Christmas and Happy New Year!

Simplify the expression 0.8+0.65÷0.75

Answers

9 h h h h j huh h j j hi

Answer:

1.66 (appx)

Step-by-step explanation:

According to BODMAS rule , we should solve division operation in the expression first , then we'll finish the addition opearation .

[tex]0.65 \div 0.75 + 0.8[/tex]

[tex] = > \frac{65}{100} \div \frac{75}{100} + \frac{8}{10} [/tex]

[tex] = > \frac{65}{100} \times \frac{100}{75} + \frac{8}{10} [/tex]

[tex] = > \frac{13}{15} + \frac{8}{10} [/tex]

[tex] = > \frac{(13 \times2) + (8 \times 3) }{30} [/tex]

[tex] = > \frac{50}{30} = \frac{5}{3} = 1.6666.........[/tex]

Evaluate | -65 | = ?

Answers

Answer:

65

Step-by-step explanation:

It's the absolute value of -65

Hope this helped, Have a Wonderful Day!!

What is the equation of the new graph? Will mark brainlest

Answers

Answer:

c

Step-by-step explanation:

did the test

Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed. Did they run at the same speed?

Answers

Answer:

They did not run at the same speed. Calculation of their speed shows that Jada was running at a higher speed.

Step-by-step explanation:

Let's first calculate the speed of each person using the units provided so that we  do not complicate the question.

speed =  distance covered/time taken

Andre's speed = 2 km/15 min = 0.133 km/min

Jada's speed = 3km/20 min = 0.15 km/min

Clearly we can see that Jada was running at a higher speed than Andre. The question says they were running at constant speed not equal speed. That just means each person maintained their speed, they did not get faster or slower.

Your cell phone company charges $20 a month plus $0.50 per text message.
What is the linear equation that would represent the total amount paid in one month?

Answers

Answer:

20 + 0.50x = m

Step-by-step explanation:

Key:

x = number of messages

m = cost per month

Hope this helps and I hope u have an Amazing day!!

The numbers - 12, -7, -2,3,... follow a pattern. What are the next three
numbers in this pattern?

Answers

The pattern is +5...

Answer:

5

Step-by-step explanation:

1. $5,876 are distributed equally among 26 men. How much money will each person get?

Answers

Answer:

226

Step-by-step explanation:

Since the total is $5,876 you want to divide by the number of people 26 to equally split the money.

$5,876/26=226

Find X and Y !!!!!
X=
Y=

Answers

Answer:

x=48 degrees

y=66 degrees

Step-by-step explanation:

180-114=66 degrees

y=66 degrees

180- (66+66)

180-132

48 degrees

x= 48 degrees

I don't really know how to explain it any better but I hope this helps.

Have a great day, you amazing bean child.

12 yards = ______________ feet

Answers

Answer:

36 feet

Step-by-step explanation:

One yard is 3 feet.

12 yards * 3 feet = 36 feet

Answer:

36

Step-by-step explanation:

1 yard=3 feet so

12 yards = 3x12 feet

12 yards = 36 feet

Hope this helps! :)

help if you know how to do this- brainliestt

Answers

Answer:

95.5°F

Step-by-step explanation:

Given the regression equation :

y = 1.8x - 76.9 ; the relationship between temperature (°F) and number of ice cream sold

y = number of ice cream sold

x = temperature (°F)

The temperature when 95 iccream cones are sold will be ;

Here, y = 95

Using the model :

95 = 1.8x - 76.9

95 + 76.9 = 1.8x

171.9 = 1.8x

Divide both sides by 1.8

171.9 / 1.8 = x

95.5°F = x

Hence, temperature when 95 cones of ice-cream are sold is 95.5°F

Patrick paid $18.70 for a pack of 10 notebooks. Individually, each notebook in the pack costs $ . PLS HELPPPPPP now

Answers

Answer:

$1.87

Step-by-step explanation:

Since the total cost was $18.70 and there are ten in the pack, to find the price of one notebook you just need to divide the total cost by the amount of notebooks there are. So 18.70 divided by 10 is $1.87 for each notebook.

They each cost about 1 dollar and 87 cents

Help me please ASAP PLEASEEEE

Answers

Answer:

1 ,3,4

Step-by-step explanation:

Answer:

1, 4 and 5

Step-by-step explanation:

sorry if im wrong


help please! thank ylu

Answers

Answer:

The Perimeter of a rectangle will be:

P = 252 in

Hence, option (E) is true.

Step-by-step explanation:

Given the rectangle with the sides

length [tex]l[/tex] = 14-5 inWith [tex]w[/tex] = 7×4 in

We know that the Perimeter of a rectangle can be calculated using the formula

[tex]P = lw[/tex]

where l is the length, and w is the width

substituting  [tex]l[/tex] = 14-5, [tex]w[/tex] = 7×4

P = (14-5) × (7×4)

P = 9 × 28

P = 252 in

Therefore, the Perimeter of a rectangle will be:

P = 252 in

Hence, option (E) is true.

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