solve: let f(x)=2x-1 and g(x)=x^2-4. find g(f(x))

Answers

Answer 1
Answer:   g(f(x)) = 4x^2 - 4x - 3

Work Shown:

g(x) = x^2 - 4

g(f(x)) = ( f(x) )^2 - 4

g(f(x)) = ( 2x-1 )^2 - 4

g(f(x)) = (2x-1)(2x-1) - 4

g(f(x)) = 4x^2-2x-2x+1 - 4

g(f(x)) = 4x^2 - 4x - 3


Related Questions

negative 19 plus the quantity negative 4 and five tenths plus 6 and 87 hundredths end quantity divided by 3 all times 5 squared minus 7 and 3 tenths
19.6
−18.4
31.45
−6.55

Answers

Answer:The answer is actually 19.6

Step-by-step explanation:

trust me I did the test

unlike others

3x - 5 = -14

What does X equal?

Answers

When solving this equation , bring -5 to the other side of -14 and add it. It gives -9 and then cancel out for x on both sides so x = -3


What do you hypothesize about rational numbers with denominators that are prime
numbers?

Answers

Answer:

There is no special hypothesis that you can come up with. You could, of course, hypothesize that they are special numbers

Step-by-step explanation:

What is the least integer whose square root is an irrational number between 5 and 7? 13 6 25 26​

Answers

Answer:

26

Step-by-step explanation:

Comment

Irrational means that the number cannot be represented as a fraction. This question means that the square root itself is between 5 and 7. Be careful how you read the question.

That means you have to take the square root of the given number and see where it lands.

√13 = 3.61 which is not between 5 and 7

√6 is going to be even smaller. Not the answer

√25 = 5 The question says between. Not the answer.

√26 = 5.09 which is greater than 5 and and less than 7

Denise Cho is a broadcast technician and earns $29.00 an hour with time and a
half for overtime. Last week she worked 40 hours plus overtime. If her total pay
was $1836.38, how many overtime hours did Denise work?

Answers

hsksebhssv hnshsnsjdndj ldgehsiw c 3072729 lvwjaiwn sj. +a iwiwirbfhx ska hamd +675196 = $ 20000 solved

Determine a series of transformations
that would map Figure U onto Figure V.


i need help asap

Answers

Answer:

di ko maintindihan

Step-by-step explanation:

kase ala ako alam jan

The following figure is made of 2 triangles.
7
А
5
B
4
Find the area of each part of the figure and the whole figure.

Answers

The area of each part of the figure is Triangle B = 10 square units and Triangle A = 17.5 square units. The area of the whole figure is 27.5 square units.

What is area?

A two-dimensional surface, like the surface of a shape or object, can be measured in terms of area. Usually, it is expressed in square quantities like square metres (m2) or square feet (ft2). By multiplying the length and breadth of a rectangle, or by applying particular formulas for other forms, such as base times height divided by two for a triangle, one can determine the area of a shape.

From the given figure we observe that the base of the slanted figure has true base length of 5 units.

Thus, for triangle B the area is:

Triangle B = 1/2(b)(h)

Triangle B = 1/2(5)(4) = 10 square units.

For triangle A we have:

Triangle A = 1/2(5)(7) = 35/2 = 17.5 square units.

The area of the whole figure is:

A = 10 + 17.5 = 27.5 square units.

Hence, the area of each part of the figure is Triangle B = 10 square units and Triangle A = 17.5 square units. The area of the whole figure is 27.5 square units.

Learn more about area here:

https://brainly.com/question/27683633

#SPJ1

Just like Earth, other planets have
seasons. In fact, Neptune's seasons last
for 40 years! How many days would
winter last? (Hint: A year is 365 days).

Answers

Winter would last for 14,600 days

How to calculate the number of days that winter would last ?

Planet can be described as celestial bodies that move around the sun. The earth and Neptune are typical examples of planets. There are 8 planets in the solar system.

Other planets have different seasons same way as Earth

Neptune's season last for 40 years

Therefore the number of days that winter would last can be calculated by multiplying the number of years which is 40 by the number of days in a year which is 365

1 year is 365 days

Since it 40 years then we multiply by 365

= 365 × 40

= 14,600

Hence Winter would last for 14,600 days

Read more on winter here

https://brainly.com/question/21628517?referrer=searchResults

#SPJ1

Which of the following is a true statement?
a. Only option A will allow them to meet their goal.
b. Only option B will allow them to meet their goal.
c. Saving by either option A or option B will allow them to meet their goal.
d. Neither option A nor option B will allow them to meet their goal.

Answers

The true statement is c. Saving by either option A or option B will allow them to meet their goal.

What is a true statement?

A true statement can be described as the statement that  that the  message is been stated or declared which could be in a communication (oral or written) in setting forth particulars or facts.

In this case, we can see that true statement is c. Saving by either option A or option B will allow them to meet their goal this is because we can see a fact from how both option present their words.

Learn more about True statement at:

https://brainly.com/question/21149756

#SPJ1

COMPLETE QUESTION:

Option A: Stay with saving the original amount each week but take the class a week later than originally planned.

Option B: Increase the amount of money he saves each week by $15 from his original plan.

the difference of a number and eight is four. Find the number.

Answers

I think it might be two if you take 8 and divide it by 4 then it should equal two or 1/2 if we are doing relationships between numbers hope this helps

how many tablespoons are there in fluid ounces

Answers

Answer:

6

Step-by-step explanation:

There are six teaspoons in one fluid ounce - lots of conversion sites out there to get more info if needed.

write 15/7 as a mixed number

Answers

The result can be shown in multiple forms.

Exact Form:

15/7

Decimal Form:

2.142857

Mixed Number Form:

2   1/7

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

Usually I try to explain what to do, but it's been a hot second from when I learned this. I uploaded a picture that might help.
This is a free tool for solving math problems if you ever need help: (no spaces or exclamation point) mat h way . co!m

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

much love <333 good bye!!

To two decimal places,
√70
must lie between ____
and _____.

Answers

To two decimal places ✓70 just be between 8.36 and 8.37.

How to illustrate the information?

It should be noted that we simply have to calculate the information is to find the square root of 70.

Therefore, this is approximately 8.366

Therefore, to two decimal places ✓70 just be between 8.36 and 8.37.

Learn more about decimals on:

brainly.com/question/1827193

#SPJ1


6 less the quantity 9 times a number

Answers

Answer:

6-9x

Step-by-step explanation:

Converted from word to standard form.

Hope it helps!

PLEASE HELP!!!! I am stuck on this question and I need help for all three!!!

Answers

Answer:

a. (0, -5)

b. (4, -5)

c. (-5, 0)

Step-by-step explanation:

Based on the two equivalent forms of the function h(t)=96t−16t2=t⋅(96−16t),At what time(s) is the ball 50 feet above the ground?

Answers

the height will be 50 ft after 0.575 seconds and after 5.424 seconds.

At what time(s) is the ball 50 feet above the ground?

The equation that models the height is:

h(t) = 96*t - 16*t^2

Here we want to find the time such that the height is 50ft, then we need to solve the equation:

h(t) = 50 = 96*t - 16*t^2

Now we can solve that for t, we have the quadratic equation:

50 = 96*t - 16*t^2

0 = -16*t^2 + 96*t - 50

Then the solutions are:

t = (-96 ± √(96*96 - 4*(-50)*(-16))/(2*-16)

t = (-96 ± 77.6)/(-32)

The two solutions are:

t = (-96 + 77.6)/(-32) = 0.575t =  (-96 - 77.6)/(-32) = 5.424

This means that the height will be 50 ft after 0.575 seconds and after 5.424 seconds.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

The length of a rectangle is 4 units greater than its width, and the area of the rectangle can be
expressed by the equation y = x + 4x. What is a reasonable domain for this function?
O
O
O
O
A y>0
By> 4
C X>0
D X> 2

Answers

The reasonable domain for this function is [tex](x > 0)[/tex] .

The collection of all feasible values for the independent variable is referred to as a function's domain.

When we substitute different values for the independent variable from the domain, the dependent variable's range refers to the set of all conceivable values for that variable.

Let the width of the rectangle be x units.

Thus as per given information length becomes x+4 units.

It is given, the area of rectangle can be expressed by the equation

[tex]y=x^{2} +4x[/tex]

Now let's find domain of this function.

clearly x cannot be zero and x cannot be negative because x represents the width of the rectangle and the width of a rectangle cannot be zero or negative.

Therefore the domain of the function is

[tex](0,\infty)[/tex] or x>0 .

Therefore the domain is given by the thirds option (c) x>0 .

To learn more about domain of a function:

https://brainly.com/question/28135761

#SPJ9

Dave took an exam with 40 questions. He answered 32 correctly. What
was his grade for the exam? Write the grade as a percent.
www
% (Round to the nearest percent as needed.)

Answers

Step-by-step explanation:

40 = 100%

1% = 100%/100 = 40/100 = 0.4

how many % are 32 ?

as many % as 1% (0.4) can fit into 32 :

32 / 0.4 = 80%

his grade was 80%.

6. Please show work pamdas

Answers

Answer:

189

Step-by-step explanation:

189 hshwhwjwowoqoqooqpqp

Please hurry due today I will give brainlest
Solve for c. a = 11+4b-4c​

Answers

Answer:

yes i think thats right

Step-by-step explanation:

if not then it might be b

Write an addition equation using numbers to represent
the verbal equation in problem 1.

Answers

The addition equation to represent the problem represented on the number-line is given by [tex]-5+8=3[/tex].

The number line is a visual representation of the real numbers along a straight line. Every point on a number-line contains a real number.

The integers that we see on this number line represents the round scores of the game Luis is playing.

At the beginning of second round Luis's team has a score of -5 , but he scored 8 points in the second round.

So the addition equation for representing this particular situation is given by :

Score in round 1 + points scored by Luis in round 2= Score in round 2

So the addition equation :

[tex]-5+8=3[/tex]

To learn more about Number-line:

https://brainly.com/question/13425491

#SPJ9

this I never got taught, need help bunch of points

Answers

Answer:

Absolute value is the distance from 0 all negative numbers become positive and positive stays positive.

Step-by-step explanation:

What is 4,788 divided by 54?

Answers

Answer:

88.7 rounded and 88.66 not rounded

Use dimensional analysis to solve the following conversions. Be sure to show all work and answer with the correct number of significant figures. Please help!!

Answers

By using dimensional analysis we find the following two results:

a) 0.30 m = 0.984 ft

b) 150 km / h = 1.554 mi / h

How to use dimensional analysis

In this problem we must find a quantity of a given unit that is equivalent to another value of another unit of the same kind. For instance, we must look up for the quantity in a unit length equivalent to another quantity in another unit length. Now we proceed to obtain all the equivalencies by simple rule of three:

a) 0.30 m × (1 ft / 0.3048 m) = 0.984 ft

b) 150 km / h × (1 mi / 1.609 km) × (1 h / 60 min) = 1.554 mi / h

To learn more on dimensional analysis: https://brainly.com/question/13078117

#SPJ1

SOMEONE HELP PLEASE PLEASE

Answers

Answer: Stand A

Step-by-step explanation:

A.

3/4 of a pound is $2

[tex]\frac{4}{3} x=2\\\\\x=\frac{2}{\frac{3}{4} } =\boxed{\frac{8}{3} \ or\ 2.66}[/tex]

Therefore one pound is $2.7 rounded


B.

[tex]\frac{5}{4} x=3.45\\\\x=3.45*\frac{4}{5} \\\\x=\boxed{2.76}[/tex]

Therefore one pound is $2.8 rounded

C.

[tex]\frac{11}{2} x=14.85\\\\x=14.85\times\frac{2}{11} \\\\x=\boxed{2.7}[/tex]

Therefore one pound is $2.7

The stand that sold tomatoes for the least expensive price per pound is Stand A because they sold theirs for $2.66 while the other stands sold them for more.

ITS DUEE TODAY PLEASEDE

Answers

Answer:

scale factor from A to B = 3

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original

scale factor = [tex]\frac{9}{3}[/tex] = 3 ( measure of horizontal sides )

The cost y (in cents) of producing x gallons of Ectoplasm hair gel is given by the cost equation y2 − 10xy = 200. Evaluate dy dx at x = 1. (Round your answer to two decimal places.)

Answers

The value of  dy/dx at x = 1 is  mathematically given as

dy/dx=5-1.8898i

This is further explained below.

What is the value of  dy/dx at x = 1 ?

Generally, Given that cost y of producing x gallons ag an implicit evaluation

y^2-10 x y=200

Differentiate the above equation as

[tex]\begin{aligned}&2 y y^{\prime}-10 y-10 x y^{\prime}=0 \\&y^{\prime}(2 y-10 x)=10 y \\&y^{\prime}=\frac{10 y}{2 y-70 x}=\frac{5 y}{y-5 x}\end{aligned}[/tex]

when x=1, substitute in the given equation to get y value

y^2-10 y=200

or

y=5+13.2288i

y=5−13.2288i

y represents the cost and hence cannot be negative Hence practical solution for y is y=5+13.2288i substitute in the ' y ' equation to get [tex]$\frac{d y}{d x}$ at $x=1$[/tex]

when x=13 y=5+13.2288i

Hence

d y/d x at x=1 will be

dy/dx[tex]=\frac{5(5+13.2288i)}{5+13.2288i-5}[/tex]

[tex]dy/dx=\frac{25+66.144}{13.2288i}[/tex]

dy/dx=5-1.8898i

In conclusion, the value of  dy/dx at x = 1 i

dy/dx=5-1.8898i

Read more about the equation

https://brainly.com/question/10413253

#SPJ1

Find the area of the figure. (Sides meet at right angles.)
5 yd
4 yd
2 yd
2 yd
yd
2 yd
4 yd

Answers

Answer:

1,024yd

Step-by-step explanation:

a=a to the second,= 32(2)= 1,024

Question 2 of 10 Suppose a population consists of 5000 people. Which of the following numbers of members of the population being surveyed could result in a sample statistic but not a parameter ? A. Both 50 and 5000 B. 50 C. Neither 50 nor 5000 D. 5000

Answers

Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50

What is the Sample Statistic?

A sample statistic is a piece of information you get from a fraction of a population.

A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).

Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.

Read more about Sample Statistic at; https://brainly.com/question/7301139

#SPJ1

PLS HELP THANK YOU VERY MUCH


Given AB, explain how to construct a square with sides of length AB.

Answers

Answer:

because it is a square, you just need to make a square with the side lenghts all being a or b

Step-by-step explanation:

Other Questions
Marx felt that if his writing could make workers see their exploitation, they would move to ______ consciousness. Panic overcame New York with the approach of Lees army and the result was what really unpleasant event(s)? Please give me a simple answer! This is due at 11:59 and it's 10:30 help I would love these answer please The brain is ________ to the skull. superior lateral anterior proximal deep Help me out, Im not understanding what my answer is A lake that has been affected by acid rain can have a ph of 4. how many more times acidic is the lake than seawater? A company exhibiting a high liquidity ratio is likely to have enough resources to pay off its short-term obligations. True or false?. Which are characteristics of the Black Prairie region? What is the solution set for the followinginequality?6x +12 2x + 10 Which is greater explain the reasoning Exercise 1 Circle the number in front of each complex sentence.He became a U.S. Marshal in 1877 and was later appointed consul general to Haiti. five less than twice a number is 7 algebraic expression What does it mean to ban something? Do you think books, movies, and shows should be ban? Why or why not Exercise 3 Underline the correct word given in parentheses. Draw an arrow to the word it modifies.Calculus is a (more difficult, difficulter) mathematics than algebra. The _________ was created in order to alert insurer home office underwriters of errors, omissions, or misrepresentations made on insurance applications. 6/4 + 0.68Jason solved this problem by changing 6/4 to 1.2. He then added 1.2 to 0.68 and got 1.88. This answer is incorrect. What did he do wrong?Multiple choices acceptedGroup of answer choices1.2 + 0.68 should have equaled 8.01.2 + 0.68 should have equaled 0.806/4 should have been changed to 1.56/4 should have been changed to 1.24PLEASE ANSWER FASTTT IM TIMED A patient who comes to the clinic reports frequent, watery stools for 2 days. which action should the nurse take first? Why is it important that the orifices and the passages of the cutting tip be free of dirt, scratches,and burrs? Some of the most dramatic evidence for evolution has come from human agriculture. one of the most highly artificially selected crop plants is:_______ Exercise 2 Underline the adjective clause in each sentence. Write N next to the nonessential clauses and E next to the essential clauses.The piano, which had been tuned recently, sounded wonderful.