Perform the indicated operation.
g(x) = x - 3
f (x) = x3 + 4x
Find g(x) - f (x)

Answers

Answer 1

Answer: g(x)-f(x)=-x³-3x-3

Step-by-step explanation:

Since we are given g(x) and f(x), we can directly subtract them to find g(x)-f(x).

x-3-(x³+4x)           [distribute -1]

x-3-x³-4x              [combine like terms]

-3-x³-3x                 [rewrite]

-x³-3x-3

Now, we know that g(x)-f(x)=-x³-3x-3.


Related Questions

functions occur when every x-value is associated with exactly one

Answers

The answer is y-value. A function is formed when one x-value corresponds with one and only one y-value.

33/(20-9)
33 divided by (20-9) I need help

Answers

Answer: 3

Steps:

33/(20-9)

33/11

3

Answer: 3

Step-by-step explanation:

To solve, we need to use algebraic properties.

[tex]\frac{33}{(20-9)}[/tex]               [parenthesis]

[tex]\frac{33}{11}[/tex]                     [divide]

3

Which expression is equivalent to 7-3x+2


A. 7-x
B.7-2x
C.9-x
D.9-3x

Answers

Answer:

D

Step-by-step explanation:

7-3x+2=0

9-3x=0

-3x=-9

x=-9/-3

x=3

D)9-3x=0

-3x=-9

x=-9/-3

x=3

Please mark me as BRAINLIST

Water cost $1.25 per bottle. At this rate, what is that cost of 50 bottles?

Answers

Answer:

$62.5 is the answer

Step-by-step explanation:

gimme brainly pls :3

Answer:

50 × $ 1.25

mutiply it you will get your answer.

The owner of an appliance store bought 15 washers at $279 each and 18 dryers at $229 each. How much did the dealer spend in all?

Answers

Answer:

8307 dhdhdhsjs

Step-by-step explanation:

vahahahwhahehe

Answer: 8,307$

Step-by-step explanation:

279$ x 15 = 4185$

229$ x 18 = 4122$

4185$ + 4122$ = 8,307$

21-7x=7(3-x)
Solve this please!!!!!!!!!!

Answers

Answer:

All real numbers

Step-by-step explanation:

21 - 7x = 7(3 - x)

21 - 7x = 21 - 7x

Since both sides of the equation are equal, the answer is all real numbers.

[tex]21 - 7x = 7(3 - x)\\21 - 7x = 21 - 7x\\-7x + 7x = 21 - 21\\x \in \mathbb{R}[/tex]

Please help me solve this problem.

Answers

Answer:

h =  V/πr²h = 10 inches

Step-by-step explanation:

V = πr²h

1. Solving for h:

V = πr²hπr²h = Vπr²h/πr² = V/πr²h =  V/πr²

2. Finding the height of given cylinder, using formula above:

V = 90π, r = 3 inches, h = ?h =  V/πr²h = 90π/π3²h = 10 inches

6. Laura has $322 in her checking account. She bought a pair of jeans for $32. Then, she
bought a pair of boots for $47. What is the current balance of Laura's checking account?

Answers

Answer:

243

Step-by-step explanation:

The ratio of 1.4 to 29 is the same as the ratio of 2.8 to

Answers

Answer: Is the same as  2.8 to 58

Step-by-step explanation:

The ratio 1.4 to 29  could be written as 1.4/29  and the ratio 2.8 could be as  

2.8/ x  where x it he missing number.

Now set up a cross product equation to solve for x.

[tex]\frac{1.4}{29} = \frac{2.8}{x}[/tex]      Cross multiply

1.4x = 81.2     Divide both sides by 1.4

x= 58  

Evaluate the expression (-9)^4

Answers

Answer:

6561

Step-by-step explanation:

Answer:

6561 is the answer.

Step-by-step explanation:

-9^4

= -9×-9×-9×-9

= 6561

A farm lets you pick 3 pints of raspberries for $12.00. At this rate, how many pints can you get for $20?

Answers

Answer:

5

Step-by-step explanation:

12$:3 =4$ a pints of raspberries

20$:4$=5 pints of raspberries

please help help help help

Answers

Answer:

2(5+4(8+1)) - 4²

=82 + 16

=66

I NEEF A FAST ANSWED​

Answers

Answer:

y value

Step-by-step explanation:

bc it is xiydid5is5is58w

Answer: Y - value

Good luck

what is the answer 3x+15=8x

Answers

Answer:

3x +15 = 8x

5x = 15

x = 3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Move the Terms:

3x = 8x - 15

3x - 8x = -15

Collcect Terms.

-5x = -15

Divide:

3

Answer

x = 3

Hope this helped

Brainliest is appreciated

2. Calculate your total variable costs for the summer at each price. a. 35 lawns per weekx 12 weeks x $24.25 variable cost = b. 20 lawns per weekx 12 weeks x $24.25 variable cost = c. 5 lawns per weekx 12 weeks x $24.25 variable cost =​

Answers

Answer:

Total variable costs for the summer at each price:

a. = $10,185

b. = $5,820

c. = $1,455

Step-by-step explanation:

a. 35 lawns per week x 12 weeks x $24.25 variable cost

= 35 * 12 * $24.25

= $10,185

b. 20 lawns per week x 12 weeks x $24.25 variable cost

= 20 * 12 * $24.25

= $5,820

c. 5 lawns per week x 12 weeks x $24.25 variable cost

= 5 * 12 * $24.25

= $1,455

d. The variable cost, as can be seen from above, changes based on the volume of activity or production.  The number of lawns influenced the cost, since the other indexes are the same in each case.

one solution to a quadratic function is -4+7i, what is the other solution?

Answers

Answer:

-4 - 7i

Step-by-step explanation:

If a quadratic equation with real coefficients has a complex number as a solution, then the complex conjugate of that number is also a solution.

Assuming the coefficients of the quadratic function are real, then the other solution is

-4 - 7i

Earth is 149 597 890 km from the sun. Pluto is about 39.5 times farther away from the sun than earth. how far is pluto from the sun? round your answer to three digits and express it in scientific notation.

Answers

Answer:

39.5 astronomical units

cube-shaped art sculpture has a volume of 64 cubic
eet. What is the length of each edge of the cube? How can you find the cube root 64?

Answers

Well it’s probably is 4x4x4

4x4 is 16x4 is 64. There all the same just times them all I think

Help please i mark brainliest !!!

Answers

Point slope form: y - y1 = m(x - x1)

y1 = y-point

m = slope

x1 = x-point

Using what we wrote above, we can solve the question.

y1 = -2

m = -2/3

x1 = 4

Therefore, the point is (4, -2) and the slope is -2/3

Best of Luck!

20.
19. passes through (-2, 19), parallel to the x-axis

Answers

Answer:

yah

Step-by-step explanation:

Fill in the next two term in the pattern 0.16 0.35 0.54 ---- ----

Answers

Answer:

0.73 and 0.92

Step-by-step explanation:

The answers are 0.73 and 0.92 because:

1) Subtract 0.54 with 0.35, you will get 0.19

2) Therefore, we know the patter is adding 0.19 for each number

3) 0.54 + 0.19 = 0.73

4) 0.73 + 0.19 = 0.92

Hope this helps!

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The next two terms in the pattern will be 0.73 and 0.92.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₙ = a₁ + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

The given series is an arithmetic series. Therefore, the common difference between any of the two terms in the series is,

Common difference = 0.35 - 0.16 = 0.19

Now, the next term of the series will be,

Next term =  Previous term + common difference

= 0.54 + 0.19

= 0.73

Next term = 0.73 + 0.19

= 0.92

Hence, the next two terms in the pattern will be 0.73 and 0.92.

Learn more about Arithmetic sequence here:

https://brainly.com/question/3702506

#SPJ2

A garden table and
bench cost $897 combined. The garden table costs $47 more than the bench. What is the cost of the bench?

Answers

Answer:

472

Step-by-step explanation: First subtract the additional cost from the overall cost, than you find the value of the bench by dividing by 2, than add the additional cost to the price of the bench to find the total cost of the Garden Table.

897-47=850

850 divided by 2 = 425

425 + 47 = 472

There are 38 cars parked in the parking structure the parking structure is nor full to. Capacity there are 13 parking spaces that are empty what is the ratio of available parking spaces to parked cars

Answers

Answer: Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gallon.

Step-by-step explanation:

Please help me
I need to submit it now!!

Answers

Answer:

Alicia is correct because....

Step-by-step explanation:

12 - 4 = 8 + 3 = 11

A manager believes a new advertising campaign will increase sales by 40%. If current sales are 3,500 units how many total units does the manager expect to sell after launching the campaign?

Answers

Answer: 5,400 units

Step-by-step explanation:

if you multiply 3,500 units by 40%, you get the quotient 1,900, which is 40% if 3,500. if you add the quotient, 1,900, to the total amount of units already, 3,500, you get the total of 5,400 units

R is between Q and S.
If RS = 33.5 and RQ = 80, find SQ. Please help !

Answers

Answer:

The correct answer is 113.5

Step-by-step explanation:

33.5+80

Solve the following proportion for u.
u/4 = 3/17
Round your answer to the nearest tenth

Answers

Answer:

345897

Step-by-step explanation:

423786945

(Number 5)help plzzz

Answers

Answer:

See below.

Step-by-step explanation:

So we want to prove that:

[tex]\sqrt8+\sqrt2=3\cdot 2^{\frac{1}{2}}[/tex]

First, simplify √8. This is the same as:

[tex]\sqrt8=\sqrt{4\cdot 2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]

Therefore, our equation is now:

[tex]2\sqrt2+\sqrt2=3\cdot2^{\frac{1}{2}}[/tex]

Combine like terms on the left:

[tex]3\sqrt2=3\cdot 2^\frac{1}{2}}[/tex]

The square root of something is the same as taking that number to the one-half power. Thus:

[tex]3(2)^\frac{1}{2}}=3\cdot 2^\frac{1}{2}}[/tex]

Rewrite:

[tex]3\cdot2^\frac{1}{2}}\stackrel{\checkmark}{=}3\cdot2^\frac{1}{2}}[/tex]

And we're done!

What is the coordinate of the midpoint of DA?
D

Answers

Answer:

6

Step-by-step explanation:

Coordinate of point D = -6

Coordinate of point A = 18

The coordinate of the midpoint of DA = the coordinate of the point that is half the distance from D to A.

Distance of DA = |18 -(-6)| = |18 + 6| = 24

Midpoint = ½ the distance of DA = ½*24 = 12

Coordinate of the midpoint of DA = coordinate of D + 12 = -6 + 12 = 6

Or,

Coordinate of A - 12 = 18 - 12 = 6

Therefore, coordinate of the midpoint of DA = 6.

andrews bank account changed by -$50 after making four equal withdrawals. how much was each withdrawal​

Answers

50/4 = 12.5
So Andrew withdrew $12.50 each time.
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