What is (f - g)(x)?
f(x) = 3x?
g(x) = -x? + 4

Answers

Answer 1

Answer:

(f - g)(x) = 4x - 4

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 3x

g(x) = -x + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

Substitute:                    (f - g)(x) = 3x - (-x + 4)Distribute -1:                 (f - g)(x) = 3x + x - 4Combine like terms:    (f - g)(x) = 4x - 4

Related Questions

Please help me with 3 and 4

Answers

Answer:

Third choice, likely

Second choice, equally likely

Step-by-step explanation:

There's 14 red ones and 3 green ones, so there's 17 marbles in total. !4 red ones so the probability is 14/17, which is a very high chance so yea

It's not certain because there's still 3 marbles that are not red, so while the chance of it not being red is low, it's not none so u can't choose certain

There's only 2 sides to a coin, so the chance of getting either heads or tails is 1/2. So there's an equal chance

PLEASE HELP ASAP

during the first home game, the eagle's soccer team had a total of 90 fans. by the second game, this number increased to 150 fans. What was the percent increase in attendance between the first and second games of the season?

A)55%
B)66.7%
C72%
D75.5%

Answers

Answer:

The answer is A.

Step-by-step explanation:

I hope that help's??

The answer to this question is:
B

Select the row of Pascal's triangle that is used to expand the binomial expression (22³ + 3y²)².
1
11
121
1331
14 641
1
5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21
35 21 7 1
1 8 28 56 70 56 28 8 1
M
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Sep 15
1:1

Answers

We will select the third row from the pascal triangle to expand the binomial expression   (22³ + 3y²)²  which is equal to

                     (22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴

We know that when we need to expand the expression (a + b)² we select the coefficients from the row of triangle beginning with 1,2 which is (1,2,1).

And when we write the expansion we note that with each new term we decrease the power of a and increase the power of b.

Thus the expansion can be written as

    (a + b)² = 1a² + 2ab + 1b²

which we normally write as

     (a + b)² = a² + 2ab + b²          (1)

According to the question we have been the expression as

(22³ + 3y²)² which is equal to the above expression where,

              a = 22³   and   b = 3y²

Putting the required values in equation (1) we get

      (22³ + 3y²)² =   (22³)² + 2(22³)(3y²) + (3y²)²

                         = 22⁶ + 63888y² + 9y⁴

Hence we will select the third row from the pascal triangle to expand the binomial expression   (22³ + 3y²)²  which is equal to

                     (22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴

Learn more about Pascal triangle here : https://brainly.com/question/3442415

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Nathen packs 25 boxes in 2 hours. How many boxes can he pack in his 8 hour shift?

Answers

100 boxes in a 8 hour shift.

complete the table and then find the function rule. Remember to put in the y=mx+b form

Answers

Answer:

1. 81        2. -20      3.  168       4.  -24

Step-by-step explanation:

I hope this is right :)

HELP ASAP I DONT HAVE TIME AND IT ALSO DETECTS IF ITS RIGHT OR WRONG

Answers

Answer:

I think it's 1,920

Step-by-step explanation:

Multiply 320 × 6 which would give you 1,920!

The ratio of a screen's width to its height is 3:2. The height of the screen is 24 cm. What is its width in centimetres (cm)?​

Answers

3:2 = 1.5:1

24 x 1.5 = 36cm

Answer:

36 cm

Step-by-step explanation:

3:2 = ?:24

24 / 2 = 12

12 * 3 = 36

Width = 36

Jenny can walk ⅕ of a mile in ½ of an hour. If she continues this pace how long will it take her to walk 2 ⅖ miles?

Answers

I think 12.5 hours i hop i am right

Answer:

6hours

Step-by-step explanation

2 2/5 / 1/5 = 12 or 2.4 / .2 = 12

1/2 * 12 = 6

CAN ANYONE HELP?! please

Answers

A.
initial; line starts at 1 on the x axis
rate of change = slope = 3/5

Bike sprockets and chain.
A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?

Answers

Answer: 3:1

Step-by-step explanation:

From the question, we are informed that a gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket.

We are further told that the bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket.

Based on the explanation given in the question, the gear ratio for the bike would be the ratio of 36 to 12. This will be:

= 36:12

Since 12 is a common factor. It can be further reduced to 3:1.

Therefore, the gear ratio is 3:1

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

That's the answer

what is the slope between (4,-17), (-20,-1)?

Answers

the slope between those points is -2/3
the slope of those points is -2/3

Help me out it’s for geometry thank you

Answers

Answer:

7

Step-by-step explanation:

11x-2 = 75

+2. +2

---------------

11x = 77

/11. /11

7x+8(x+1/4)=3(6x-90-8

Answers

Answer:

exact form 296/3 decimal form 98.6666666 mixed number form 98 2/3

Step-by-step explanation:

Answer:

First result: X = 248/3 or 82.67    Second result: X = 260/3 or 86.57

Step-by-step explanation:

1st one: 7x + 8(x + 1/4) = 3(6x - 90 - 8)

              7x + 8x + 2 = 18x - 270 - 24

                 15x + 2 - 2 = 18x - 246 - 2

                  15x - 18x = 18x - 18x -248

                -3x = 248  -->   -3x/3 = 248/3

                    X = 248/3 or X = 82.67

2nd one: 7x + 8(x+1/4) = 3(6x - 90) - 8

                  7x + 8x + 2 = 18x - 270 - 8

                   15x + 2 - 2 = 18x - 262 - 2  

                    15x - 18x = 18x -18x - 260

                   -3x = 260 --> -3x/3 = 260/3

                        X = 260/3 or X = 86.67

Sorry if none of these are the answer!

Which decimal has the greatest value?
A. 0.009

B. 0.019

C. 0.0099

D. 0.02​

Answers

Answer:

Answer: D

Step-by-step explanation:

Answer:

D.0.02

Step-by-step explanation:

D is the least number so that means its closer to 0. the higher the negative number goes the further away it gets from 0.

Tammy made a recipe that called for 3/4 teaspoon of salt. If the recipe is cut in half, how much salt is needed?

Answers

Answer:

answer is A your welcome

Answer:

If the recipe is cut in half, 3/8 teaspoon of salt is needed.

Step-by-step explanation:

Since the recipe is cut in half, we need to find 1/2 of 3/4. This means we need to multiply 1/2 times 3/4. For the numerator, 1 times 3 equals 3. For the denominator, 2 times 4 equals 8. The fraction is 3/8.

Calculate the pressure if the area is
10cm² and the force is 420N

Answers

Answer:

p=F/A

p=420/10

P=42

Step-by-step explanation:

hope this helps u

HELP I HAVE 5 MINUTES

Answers

Answer:

24

Step-by-step explanation:

4x6

For ride sharing services, Uber charges $5 for the first mile and $1.20 each additional mile. Lyft charges $7 for the
first mile and $0.95 for each additional mile. What is the equation to show how many miles will it take for the cost to
be the same?

Answers

Answer:8 miles

Step-by-step explanation:

U= {1,2...,10}
A= {2,3,5,7}
B= {2,4,5,7}
D= {1,2,5,7}
Find:
1. A U B U D
2. A n B n D

Answers

Answer:

1) {5,7}

2) {1,2,5,7}

Step-by-step explanation:

1) A union B union C

means you take common contents in all A,B,C

2) A and B and C

means you take all the contents of all A,B,C and combine

What decimal fraction is 7 hens out of 21 hens?​

Answers

Answer:

7 is 1/3 of 21 hens

Step-by-step explanation:

7/21 = 3

Answer:

7/21 and simplifies, its 1/3

Step-by-step explanation:

What is the surface area of the cylinder with height g in and radius 4 in? Round your
answer to the nearest thousandth.

Answers

Answer:

if you want ans area of cylider is 2πrh+2πr2

Step-by-step explanation:

need thanks and make me brainiest if it helps you

what is the maximum value of the derivative of f(x)= 3x^2+x^3

Answers

Answer:

Maximum Value: ∞

General Formulas and Concepts:

Calculus

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

f(x) = 3x² + x³

Step 2: Find Derivative

Basic Power Rule:                    f'(x) = 2 · 3x²⁻¹ + 3 · x³⁻¹Simplify:                                    f'(x) = 6x + 3x²

Step 3: Analyze

We see that our derivative is the graph of some sort of parabola. The parabola would be opening upwards.

Therefore, the maximum value of the derivative would be ∞, as the parabola's output y infinitely increases.

Aaron needs to hire a waiter. Waiter A is offering his services for an initial $20 in addition to $5.50 per hour. Waitress B is offering her services for an initial $24 in addition to $4.50 per hour. When will the two waiters charge the same amount of money?

Answers

Answer:

The indifference point is 4 hours.

Step-by-step explanation:

Giving the following information:

Waiter A:

Fixed cost= $20

Unitary variable cost= $5.5 per hour

Waiter B:

Fixed cost= $24

Unitary variable cost= $4.5

First, we structure the total cost formula for each waiter:

Waiter A= 20 + 5.5*x

Waiter B= 24 + 4.5*x

x= number of hours

Now, we equal both formulas and isolate x:

20 + 5.5x = 24 + 4.5x

1x = 4

x= 4

The indifference point is 4 hours.

Prove:

Waiter A= 20 + 5.5*4= $42

Waiter B= 24 + 4.5*4= $42

Can someone please help me with proofs

Answers

3) Triangle AED is congruent to triangle CFD (SAS)

every 5 months, hal has to replace the batteries in his calculator. he changed them the first time in may. in what month will they be changed the 25th time?

Answers

The 25th battery replacement will occur in October.

What is Rate of change?

A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.

The last time he changed his batteries was in May, so we know he needs to change them every 5 months. So we can figure out when he has to replace them for the 24th time. The first thing we need to do is figure out how many months have passed since he has to replace them 24 times a year.

[tex]\begin{aligned}5\text{ months}\cdot 24\text{ replacement}&= 120\text{ months}\end{aligned}[/tex]

From the amount of months we can calculate the amount of years that will pass.

120 months x  (12 months/ 1 year ) = 10 year

Adding 10 years to May results in 10 years later May, which is the month of the 24th replacement.

That is the 24th battery replacement will occur in May and therefore, the 25th battery replacement will occur in October.

Read more about unit rates at:

brainly.com/question/19493296

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I need help it is a multiple Choice question

Answers

Answer:

6 m

.006 km  

6,000 mm

Step-by-step explanation:

Let's look at some conversions real quick:

1 cm --> 10 mm (multiply cm by 10)

1 cm --> 0.00001 km (divide cm by 100000)

1cm --> 0.01 m (divide cm by 100)

Now that this is laid out, lets do these conversions for 600 cm.

Meters (m) = 600/100 = 6 meters

Kilometers (km) = 600/100000 = .006km

Millimeters (mm) = 600 * 10 = 6,000 mm

I hope this helps!!

- Kay :)

can someone help me with these two please

Answers

Answer:

1) y=1/2x+4 and y=-2x-4

2) y-9 = -2(x+7)

Step-by-step explanation:

1) Perpendicular lines must have reciprocal slopes. So, the sign must be switched and the numerator and denominator must be switched.

2) Point-slope form is [tex]y-y_{1} = m(x-x_{1})[/tex]

So plug the slope and point in.

y - 9 = -2 (x - (-7))

y-9=-2(x+7)

evaluate v(x) = 14 - 3x when x = -3,0, and 4.

Answers

Answer:

v(-3)=23

v(0)=14

v(4)=2

Step-by-step explanation:

t= u+v/2 for u

•u= 2t+v
•u= 2t/v
•u= 2(t-v)
•u= 2t-v

Answers

Answer:

u=2t-v

Step-by-step explanation:

t=(u+v)÷2 |×2

2t=u+v

-u=v-2t |:(-1)

u=-v+2t

u=2t-v

how bout this 5+54+69= What

Answers

Answer:

128

Step-by-step explanation:

hoped that helped

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