g(x) = -3x
f(x)=x+3
Find g(f(5))

Answers

Answer 1

Answer:

To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f  × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(

g

f

)(x)=

g(x)

f(x)

= \small{\dfrac{3x+2}{4-5x}}=

4−5x

3x+2

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(

g

f

)(x)=

4−5x

3x+2

Step-by-step explanation:


Related Questions

The Suarez family paid $16.50 for 3 movie tickets. How much would they have paid for 12 tickets?

Answers

Answer:

It will cost 66 dollars for 12 tickets

Step-by-step explanation:

We can write a ratio to solve.

16.50       x

-------- = ----------

3            12

Using cross products

12 * 16.50 = 3x

198 = 3x

66 = x

It will cost 66 dollars for 12 tickets

A car has four wheels. How many wheels are there for twelve cars?

Answers

Answer:

4x12=48

Step-by-step explanation:

1 car=4 wheels

12cars= 48 wheels

Right. This is French, but I can’t choose both subjects, so y’all can help in any of both languages idrc. I just have zero sodding idea of what I’m supposed to do. xD But i do understand all of the "domaines, codomaines, extrémums etc." So thank y’all to all of the bilingual+ folks out there lol.

Answers

PROBLEMS

10 The evolution of the value of a share during the 10 weeks following its purchase is described below.

reach $9. An increase in the price of oil then causes its value to fall during the 2 weeks

The value of the stock when purchased is $5. Over the next 3 weeks, its value increases to

subsequent shares, the share then reaching its minimum value, i.e. $2. The value of the share remains

constant for 3 weeks, then increases by $6 over the next 2 weeks.

We are interested in the function that associates the value (in $) of the action with the time (in weeks) elapsed since

its purchase.

a) Draw a possible graphical representation

of this function.

b) What is the domain of this function?

c) What is the codomain of this function?

d) What are the extrema of this function?

e) Describe using intervals the growth

of this function.

0

66

The population of Pittsburgh was about 12,600 in 1820. Between 1820 and 1840 the population grew exponentially, increasing by about 70% each decade.

Answers

In 1840, the population would be 30,240

Solve for the difference





`7.2-3.67`

Answers

The correct answer is 3.53

Josh has 8 days to make pots and plates to sell at a local fair. Each pot weighs 2 pounds and each plate weighs 1 pound. Josh cannot carry more than 50 pounds to the fair. Each day, he can make at most 5 plates and at most 3 pots. He will make $12 profit for every plate and $25 profit for every pot that he sells.
a. Write linear inequalities to represent the number of pots p and plates a Josh may bring to the fair.
b. List the coordinates of the vertices of the feasible region.
c. How many pots and how many plates should Josh make to maximize his potential profit?

Answers

The optimal number of pots and plates Josh should make is given from

the graph of the inequalities.

Response:

a. 2·p + a ≤ 50

p ≤ 24

a ≤ 40

b. The coordinates of the vertices of the feasible region are; (24, 2), (40, 5), (0, 40), (24, 0), (0, 0)

c. 40 pots and 5 plates

How can the optimal number of plates and pots Josh should make be found?

Given:

Number of days Josh has to make pots and plates to sell = 8 days

Weight of each pot = 2 pounds

Weight of each plate = 1 pound

Weight Josh cannot carry = More than 50 pounds

Number plates he can make each da = At most 5 plates

Number of pots he can make each day = At most 5 pots

The profit Josh makes for each plate sold = $12

Profit from each pot sold = $25

a. Let p represent the number of pots Josh makes and let a represent the

number plates. The linear inequalities are;

2·p + a ≤ 50

p ≤ 8 × 3 = 24

p ≤ 24

a ≤ 5 × 8 = 40

a ≤ 40

b. When p = 24, we have;

2 × 24 + a = 50

a = 2

When a = 40, 2·p + 40 = 50, gives;

p = 5

The vertex points are;

The coordinates of the vertices of the feasible region are;

(24, 2), (40, 5), (0, 40), (24, 0), (0, 0)

c. The profit function is; P = 25·p + 12·a

The profit at the vertices are;

[tex]\begin{tabular}{|c|c|c|}p&a&Profit\\0&0&0\\0&40&12 \times 40 = 480\\24&0&25 \times 24 = 600\\24&2&12 \times 2 + 25 \times 40 = 624\\40&5&12 \times 5 + 25 \times 40 = 660\end{array}\right][/tex]

To maximize his potential profit, therefore;

Josh should make 40 pots and 5 plates.

Learn more about linear optimization here:

https://brainly.com/question/15356519

A camera has a listed price of $558.99 before tax. If the sales tax rate is 9.25%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$610.70

Step-by-step explanation:

$558.99 + 9.25 percent of $558.99

algebra 1 please help

Answers

Easy, all you gotta to is highlight the text on screen and hold the ctrl button and click (ctv)

help, please 20 points

A deli sandwich is placed inside a cooler. As the sandwich cools, its temperature C(t) in degrees Celsius after t minutes is given by the following exponential function.

C(t) = 21 (0.91)^t

(a) find the initial temperature: ___C

(b) does the function represent growth or decay? growth or decay

(c) by what percent does the temperature change each minute? ____ %

Answers

The initial temperature was 21 degrees Celsius, the function represents the decay and the rate is 9%

What is exponential decay?

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have:

A deli sandwich is placed inside a cooler. As the sandwich cools, its temperature C(t) in degrees Celsius after t minutes:

The function is:

[tex]\rm C(t) = 21 (0.91)^t[/tex]

a) To find the initial temperature:

Plug t = 0

C(0) = 21 degree Celsius

b) The function represents the decay because the base of the exponent is less than 1.

c) To find the rate compared with the exponential decay function:

[tex]\rm A = a(1 - r)^t[/tex]

1 - r = 0.91

r = 0.09

or

r = 9%

Thus, the initial temperature was 21 degrees Celsius, the function represents the decay and the rate is 9%

Learn more about the exponential decay here:

brainly.com/question/14355665

#SPJ1

Select the correct answer.
Which expression represents a quadratic expression in complete factored form?
Α.
(x + 4)(x-3)
B.
(2x+4)(x+3)
C.
(x - 1)(3x-9)
D.
(x-2) + (x + 3)

Answers

i think its a :) if not c

Answer:

C.  (x + 4)(x − 3)

Step-by-step explanation:

A quadratic expression in complete factored form can be written as the product of two linear factors, where each factor is in the form of (ax + b). The expression (x + 4)(x - 3) is in this form and can be expanded to the quadratic expression x^2 + x - 12.

Option A is a sum of two linear expressions, but it is not factored. Option B is a product of two linear expressions, but it can be simplified to the quadratic expression 3x^2 - 3x. Option D is a product of two linear expressions, but it can be simplified to the quadratic expression 2x^2 + 10x + 12.

Maddie has a snack mix of 10 pretzels And 15 cheese bunnes. what is the theoretical probability of choosing a pretzel

Answers

Answer:

40.00 percent probability

Step-by-step explanation:

odds are that 15 will be a particular event and 10 will be another event. 15 to 10 probability. There is a 60.00 percent probability that you will choose the cheese bunnes and 40.00 percent probability that you will choose pretzels

PLS HELP DUE TONIGHT!!! 30 POINTS

Answers

Answer: C). Y = 3x + 4

Step-by-step explanation: Substitute -2 for x then find the result for Y.

Help me plss and ty

Answers

Answer C. Fourth quadrant at -2,4
Explanation: the point -2,4 is in the fourth quadrant

Answer:

D. fourth quadrant at (4,-2)

Step-by-step explanation:

First label the quadrants, as shown in the picture below.

Right top quadrant is 1, left top quadrant is 2, left bottom quadrant is 3 and right bottom quadrant is 4.

Next, find out which quadrant the point is located in.

Forth quadrant (you can now eliminate A and B, as they indicate the 2nd quadrant.)

Now, find out what the x and y values of point are.

4 and -2

Now, since the order of points is (x,y) and the points of you can place the x and y values of the point in the corresponding place.

(x,y)-->(4,-2)

Therefore, your answer is: D. Forth quadrant at (4,-2)

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

how many times can 5 go into 176?

Answers

Answer:

35.2

Step-by-step explanation:

you are to divide the term:

176/5

so your answer should be:

35.2

Approximately 35.

so, 5 goes in 176 35 times.

It goes in 35 times!

Help!!!! This is geometry, the picture has the question!

Answers

Answer:

LN = 16

Step-by-step explanation:

MO bisects LN into two equal parts (If you see a triangle MNL, the line in the middle 5y - 8 is a median. This means x + 6 = 4x)

x + 6 = 4x

3x = 6

x = 2

Substitute x

LN = 2 +  6 + 8 = 16

LN = 16

Hope this helps :)

Have a nice day!

which of these sentences contains an example of hyperbole?

Answers

Answer:

choose the most exagerrated one

Step-by-step explanation:

hyporbole is really exageratted really  wild, not to ne taken literally

"I could eat a horse!"

Answer: The room was almost as hot as an oven.

Step-by-step explanation:

Express in simplest radical form sqrt 32

Answers

Answer:

Step-by-step explanation:

Prime factorize 32

32 = 2 * 2 * 2 * 2 * 2

[tex]\sqrt{32}=\sqrt{2*2*2*2*2} = 2*2\sqrt{2}=4\sqrt{2}[/tex]

I need help really bad

Answers

Answer:

104

Step-by-step explanation:

13*8

The answer would be x = 104. Taking 104 divided by 13 gets you 8, or you could simply multiply 13 by 8 to get 104. I hope this helped!

Pls Help
Round the numbers in each expression to the nearest whole number.
Then select all expressions that are about 8.

A.
3
1
5
+
5
7
9
B.
15
5
7

8
2
9
C.
1
5
8
+
5
2
5
D.
10
1
4

1
11
15
E.
2
7
10
+
4
8
9
PlSSSSSSSSS

Answers

Answer:

b, d, e

Step-by-step explanation:

Answer:

acd po

Step-by-step explanation:

pa answer PO Ng question ko please

The coordinates of the vertices of ΔPQR are P(2, 3), Q(−1, 0), and R(1, −2). Find the side lengths and the angle measures.

PQ ≈ 4.24, QR ≈ 2.83, PR ≈ 5.1
m∠Q = 90°, m∠P ≈ 34°, m∠R ≈ 56°

PQ ≈ 2.83, QR ≈ 4.24, PR ≈ 5.1
m∠Q = 90°, m∠P ≈ 34°, m∠R ≈ 56°

PQ ≈ 2.83, QR ≈ 4.24, PR ≈ 5.1
m∠Q = 90°, m∠P ≈ 56°, m∠R ≈ 34°

PQ ≈ 4.24, QR ≈ 2.83, PR ≈ 5.1
m∠Q = 90°, m∠P ≈ 56°, m∠R ≈ 34°

Answers

Answer:

PQ ≈ 4.24, QR ≈ 2.83, PR ≈ 5.1

m∠Q = 90°, m∠P ≈ 34°, m∠R ≈ 56°

Step-by-step explanation:

thats it

[tex]\huge\text{Question:}[/tex]
Please help me with my homework.
Here's the math problem:
[tex]\huge\bold{(2a^{2} )^{2} (bc^{2} )^{3} }[/tex]
Due today. Please do not spam.

Answers

[tex] 4 {a}^{4} {b}^{3} {c}^{6} [/tex] is the answer.

Explanation :-

Hey there

Lets solve this :-

[tex](2 {a}^{2})^{2}(bc^{2})^{3} [/tex]

[tex] = > {2}^{2} \times (a^{2} )^{2}b^{3}( {c}^{2})^{3} [/tex]

[tex] = > 4( {a}^{2})^{2} {b}^{3}(c^{2})^{3} [/tex]

[tex] 4 {a}^{4} {b}^{3} {c}^{6} [/tex]

Therefore [tex]4 {a}^{4} {b}^{3} {c}^{6} [/tex]is the answer

Find the geometric mean of 4 and 49.

Answers

14
I hope this helped

Will mark brainliest

Answers

Answer:

u = 4

v = 18

Step-by-step explanation:

in a parallelogram, diagonals bisect each other into two equal segments so we can do the following:

2u+2 = 5u-10

subtract '2u' from each side to get:

2 = 3u-10

add 10 to each side to get:

12 = 3u

12/3 = u

u = 4

To solve for 'v':

v/3 = 6

multiply each side by 3 to get:

v = 18

What is negative ten fourths plus six

Answers

Answer:

3 1/2

Step-by-step explanation:

You turn negative ten fourths into -2 1/2 and then take that out of 6

I need help with this pls

Answers

Answer:

39.75 meters

Step-by-step explanation:

7.5 x 5.3 =

39.75 meters of foam

What’s the answer ……………………

Answers

The answer is B. g(x)= |x-1|
The answer to your question is B

Multiply three point seven by one hundred.

Answers

Answer:

370 I believe

Step-by-step explanation:

hope this helps!

29 points Which of these steps will eliminate a variable in this system?

6x-3y=8
2x+6y=16

A.
Multiply the second equation by 3. Then add the equations.

B.
Multiply the second equation by 3. Then subtract the second equation from the first.

C.
Multiply the second equation by 2. Then add the equations.

D.
Multiply the first equation by 2. Then subtract the second equation from the first.

Answers

Answer:

the answer is c

Step-by-step explanation:

good luck <3

geometry question! i need help!

Answers

Answer:

nl

Step-by-step explanation:

wider the angle, the side opposite to it will be big

let's take ∆lnm angle nlm = 180-(62+55)=180-117=63

take ∆lnp, angle pln = 180-(66+58)=56

angle l = 56+63 = 119

angle p iz the greatest, so side ln must be longest

HELPPOOoPPpPppppppppppppp

Answers

Answer:

∠ ADC = 160°

Step-by-step explanation:

let ∠ CDB = n then ∠ ADC = 8n

The 2 angles are adjacent and lie on a straight line and sum to 180° , then

n + 8n = 180, that is

9n = 180 ( divide both sides by 9 )

n = 20

Then

∠ ADC = 8n = 8 × 20 = 160°

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help help math math math ASAP Please help me with this Alonso won over two years of his salary in the lottery and was absolutely thrilled. Research shows that this change in happiness is probably. Adler and Adler (2007) suggest that self-injury is being ______, shifted out of the realm of mental illness and categorized instead as deviance. A. radicalized B. demedicalized C. stigmatized D. legalized Find the area of the shaded region. Round your answer to the nearest hundredth.I need a detailed way to solve the solution.Quick as possible! Solve for x.2.7(x1.4)=6.48Enter your answer, as a decimal, in the box. GIVING BRAINIEST IF CORRECT!!!Hypothesize why the U.S. wanted to build a military base in Panama in 1955. 1 5/12 + 2 2/3 + 3 1/4 if TU=6, UV=4x, and TV=7x , what is TV? 2A geologist compares two rock layers from two different parts of the United States and believes they are from the same time period. What could helook for to confirm that the rock layers formed during the same time period? The absorption of human-generated co2 by the oceans __________. HELP ASAP!!!Kim carpenter her bedroom the square footage of the room is 210 square feet if the total cost of carpet was 312.50, what was the cost of the carpet per square foot? What policy did the unites states follow to prevent the expansion or communism after world war 2 a. Containment b. North south division. How long is the tape for 30 mins What is? A 3A-10+8+A=2A+5A-11 a mixture of medicine consists of three vitamins A, B and C,if the ratio of the vitamins should be 5:1:3 and the total mixture is 40 ml calculate how much of each vitamin will be needed for the final mixture What are the thick inferior chambers of the heart that pump blood into the arteries called?. please help thanks!!! In a baseball game a foul ball was hit straight up with a speed if 30 m/s. Ignore air resistance. a. How high did the ball go up?b. How long was the ball in the air?c. What happened to the answers in part a and b if the initial velocity was only 15 m/s?initial position = ?finial position = ?initial velocity = ?final velocity = ? acceleration = ?time = ? Consider the parallel-plate capacitor shown in the figure. The plate separation is 1.8 mm and the the electric field inside is 23 N/C. An electron is positioned halfway between the plates and is given some initial velocity, vi.(a) What speed, in meters per second, must the electron have in order to make it to the negatively charged plate?(b) If the electron has half the speed needed to reach the negative plate, it will turn around and go towards the positive plate. What will its speed be, in meters per second, when it reaches the positive plate in this case?