Let f(x) = 2(x − 1)² + 3 and h(x) = -f(x+3) - 1

Write h in terms of x

Answers

Answer 1

f(x+3)

[tex]\\ \sf\Rrightarrow 2(x+3-1)^2+3[/tex]

[tex]\\ \sf\Rrightarrow 2(x+2)^2+3[/tex]

[tex]\\ \sf\Rrightarrow 2(x^2+4x+4)+3[/tex]

[tex]\\ \sf\Rrightarrow 4x^2+8x+8+3[/tex]

[tex]\\ \sf\Rrightarrow 4x^2+8x+11[/tex]

Now

[tex]\\ \sf\Rrightarrow h(x)[/tex]

[tex]\\ \sf\Rrightarrow -f(x+3)-1[/tex]

[tex]\\ \sf\Rrightarrow -4x^2-8x-11-1[/tex]

[tex]\\ \sf\Rrightarrow -4x^2-8x-12[/tex]

[tex]\\ \sf\Rrightarrow 4(-x^2-2x-3)[/tex]


Related Questions

Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?

A.
x + y = 13
0.25x + 0.5y = 3.55

B.
x + y = 13
0.25x + 0.05y = 3.55

C.
x + y = 13
25x + 5y = 3.55

D.
x + y = 3.55
0.25x + 0.05y = 13

Answers

Answer:

The answer is B

Step-by-step explanation:

you know that x is quarters which is .25 and you know that y is nickels which is .05

there are a total of 13 coins in the bank so x+y = 13

you also know that the 13 coins = 3.55

so plug in all that you know and the problem is

0.25x + 0.05y = 3.55

The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)

Answers

Answer:

  (1, 3), (2, 6), (3, 9)

Step-by-step explanation:

Dividing the first given ratio by 7 gives ...

  7/7 : 21/7 = 1 : 3

Multiplying this by 2 and 3 gives the other ratios you want.

  = 2(1) : 2(3) = 2 : 6

  = 3(1) : 3(3) = 3 : 9

The equivalent ratios are (1, 3), (2, 6), (3, 9).

What is the value of the sin each of the following 5607 506 702 803 562

Answers

Answer:

sin(5607) = 0.67641680533

sin(506)  = -0.202179403335

sin(702)  = -0.989367016834

sin(803) = -0.948263002181

sin(562) =  0.33827666045

Step-by-step explanation:

put sin into a calculator and then put in the number

hope this helps! :)

Which description best describes the association between variables x and y?

A.strong positive
B.strong negative
C.weak positive
D.weak negative

Answers

C. week positive I hope this helps

Answer:

A. Stong positive

Step-by-step explanation:

Both the x and y variables move into the higher number on the chart!

Hope this helps!!

Please tell me if I have made a mistake, I enjoy learning form them:

Solve the equation.

a-6=13

Answers

19 I hope this helps

Answer:

a=19

Step-by-step explanation:

In this equation you want to solve for a

In this case you simply add 6 to 13 because -6 is attached to the a on the left side and you want a on it's own.

a - 6 = 13  

+6       +6       (-6+6 = 0) (6+13=19)

a = 19

What is the quotient? 2 1/5/1-/10​

Answers

the answer is -0.22

[tex] \: \: \: [/tex]

[tex] = \: \: \: \: - 22[/tex]

Step-by-step explanation:

[tex]2 \frac{1}{ \frac{5}{ - \frac{ 1} {10} } } [/tex]

convert the mixed number to an improper fraction

[tex] \frac{11}{ \frac{5}{ - \frac{1}{10} } } [/tex]

use - a / b = a / - b = a - / b to rewrite the fraction

[tex] \frac{11}{ - \frac{5}{ \frac{1}{10} } } [/tex]

simplify the complex fraction

[tex] = \: \: \: - 22[/tex]

hope it helps

Will mark brainliest (2 possible answers. NO LINKS OR ANSWERS WITHOUT EXPLANATION)

Answers

A box and whisker plot is made up of 5 pieces of information: the minimum, 1st/lower quartile, median, 3rd/upper quartile, and maximum.

Start by placing a dot on the minimum and maximum values. These are the "whiskers" of the box plot.

Next, we'll graph the lower and upper quartiles. On these values, draw vertical lines. We are given the lower quartile, but will need to find the upper quartile.

IQR = upper quartile - lower quartile

225 = x - 120

x = 345 minutes = 5 hours, 45 minutes

Now that we know the upper quartile, you will also draw a line on that value. Feel free to connect the lines to make the "box".

Lastly, we'll graph the median. This is another vertical line on the value. It should be directly in the middle of the lower and upper quartiles. It will be inside the box.

Hope this helps and if you have any further questions, please let me know! :)

If you are SMART? What is 100 x 100 without using a calculator?

Answers

Answer:

i got you it 10,000

Step-by-step explanation:

all you have to do is add the zeros

Solve the equation for x if necessary, enter fractions in lowest terms, using a slash (/) as a fraction bar
4x - 1 = 3(x + 1)
x=

Answers

Answer:

Step-by-step explanation:

4x - 1 = 3(x + 1)

4x - 1 = 3x + 3   [remove the parentheses by multiplying each term by 3]

4x  = 3x + 4       [add 1 to both sides]

1x  =   4               [Subtract 3x from both sides]

x = 4

===

Try it:

4x - 1 = 3(x + 1):  ??

4*4 - 1 = 3(4 + 1) ??

15 = 3(5)

15 = 15 yes

HELP PLEASE!!!

Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
(-4, 10) 10
(-8,-6)

Answers

The answer is: 7/7

hope this helps :))

The angle of slope of the line between the coordinates (-4, 10) and (-8, -6) is 4.

What is the Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

To find the slope of a line, we use the formula:

slope = (change in y) / (change in x)

We can use the given points (-4, 10) and (-8, -6) to find the slope:

change in y = (-6) - 10 = -16

change in x = (-8) - (-4) = -4

slope = (-16) / 4 = 4

Therefore, the slope of the line passing through the points (-4, 10) and (-8, -6) is 4.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ7

Name an example of a real life use of the sine graph.

Answers

Answer:

Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.

im sorry if its wrong I just search this :)

Peggy earned $20 for each lawn she mowed last summer. This summer, she raised her price to $23 per lawn. What is the percent increase of Peggy’s charges?

Answers

Answer:

15 percent

Step-by-step explanation: You will substract the new value from the old value.

23-20

Now you will get the difference between them and divide that by the original amount.

3/20

This will equal 0.15 in which you now multiply by 100

15 percent

Need help with how to write the standard form of a slope in general.
Please explain, thank you!

Answers

Answer:

Hey there! Hope this helps a little!

Step-by-step explanation:

So to begin with the standard slope form equation is Ax+By=C

Lets say the question is 2x+3y=12 what you wanna do first is get y all by its self so what you so is subtract 2x from 2x what you do to one side make sure to do it on the other side subtract 2x from 12

Now you will have -2x/3+12/3

Solution is y=-2/3x+4 please let me know if you need further help!

b) Solve x ^ 2 + 5x - 14 = 0

Answers

[tex]x^2 +5x -14 =0\\\\\implies x^2 +7x -2x -14 =0\\\\\implies x(x+7) -2(x+7)=0\\\\\implies (x-2)(x+7) =0\\\\\implies x =2~~ \text{or}~~ x =-7[/tex]

Answer:

x = -7 and x = 2

Step-by-step explanation:

x ^ 2 + 5x - 14 = 0 can be factored as follows:  (x + 7)(x - 2).  Note how 7x - 2x = 5x.

Setting each factor = to 0 and solving for x, we get x = -7 and x = 2.

can u answer this question?

Answers

Step-by-step explanation:

sure, this is one of the simplest things to do in math : the absolute value. it just delivers the positive value of a value.

if the value is already positive, the result is the same positive value. if the value is negative the result is the corresponding positive value.

really, that is all that is there to it.

so,

|11| = 11

|-12| = 12

no big magic, no mystery, no tricks or formulas to know.

it just is ...

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

The airplane is 12 ft long.

Step-by-step explanation:

If one inch is 2 feet in real life, if there are six inches, that means there are 12 feet because it is a one to two ratio. :)

Answer:

12 ft

Step-by-step explanation:

Write an equation of the line that passes through the points (3,6) and (4,9)

Answers

Answer:

y=3x-3

Step-by-step explanation:

slope = change in y/change in x

slope = 3/1 = 3

y-intercept = y value when x=0

 go 3u left, 3x3 = 9 so 9u down

 (0,-3)

slope = m = 3

y-int = b = -3

y=mx+b

y=3x-3

168- blank gives 48 aim confused

Answers

Answer:

168 subtracted by 120 is going to equal 48

Step-by-step explanation:

It costs $8 for admission to the Park City Ice Arena. In addition, renting skates costs $4 per hour.
Write an equation that shows how the total cost, y, depends on the length of the rental in hours, x.
Do not include dollar signs in the equation.

Answers

40 dollars

Step-by-step explanation:

Answer:

y = 8 + 4x

Step-by-step explanation:

y is the total cost of 1 skating experience.

y = 8 + 4x

This can be read as:  the total cost, y, is equal to the admission, $8, plus $4 times the number of hours the skates are rented.  No snacks included.

Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard deviation is 2. 9. What is the margin of error, assuming a 90% confidence level? Round your answer to the nearest tenth.

Answers

The margin of error of the random selection is 0.29

The given parameters are:

[tex]n = 320[/tex] --- the sample size

[tex]\sigma = 2.9[/tex] --- the standard deviation

[tex]\bar x = 24[/tex] --- the mean

[tex]\alpha = 90\%[/tex] --- the confidence level.

The margin of error (E) is calculated as follows:

[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]

So, we have:

[tex]E = z \times \sqrt{\frac{3.2^2}{320}}[/tex]

[tex]E = z \times \sqrt{\frac{10.24}{320}}[/tex]

The z-value for 90% confidence level is 1.645.

Substitute 1.645 for z

[tex]E = 1.645 \times \sqrt{\frac{10.24}{320}}[/tex]

[tex]E = 1.645 \times \sqrt{0.032}[/tex]

Take square roots

[tex]E = 1.645 \times 0.1789[/tex]

Multiply

[tex]E = 0.2943[/tex]

Approximate

[tex]E = 0.29[/tex]

Hence, the margin of error is 0.29

Read more about margin of error at:

https://brainly.com/question/14396648

- Nelton spent $44.75 on 5 tickets to the football game.
What was the cost of one ticket?

Answers

Answer:

8.95

Step-by-step explanation:

when you divide it 44.75 divided by 5 it willl appeer the price of only one

Answer:

$8.95

Step-by-step explanation:

44.75/5=8.95

ricks bikes 24 miles in 3/4 of an hour what is the speed in the miles per hour.

Answers

Answer:

=32

Step-by-step explanation:

the speed = distance / time = 24 / (3/4) = 24*4 / 3 = 96 / 3 = 32 (mile/hour)

how many real square roots does -1 have?

Answers

It is 0 because there are no square roots for negitive numbers

There are no real square roots does -1 have.

-1 is negative, it does not have a real square root.

Here, we have,

we know that,

The number -1 does not have any real square roots.

In the real number system, a square root of a number is a value that, when squared, gives the original number.

However, when we square any real number, the result is always non-negative.

Since -1 is negative, it does not have a real square root.

It is 0 because there are no square roots for negative numbers.

Hence, There are no real square roots does -1 have.

To learn more on number click:

brainly.com/question/17429689

#SPJ6

At the fundraiser, Chad washed 7 cars every 3 hours and earned over $150 for the school dance. 3. Choose the correct answer. Which phrase in the situation translates to the slope? 3 hours for every 7 cars 3 hours and earned over $150 7 cars every 3 hours 7 cars and earned over $150

Answers

Answer:

the answer is 22

Step-by-step explanation:

Answer:ion run it

Step-by-step explanation:

BUM

Define linear relationship. Give an
relationship.


PLESE HELP

Answers

Answer:

in linear algebra a linear relationship or simply relation between elements of a vector space or a module is a linear equation that has these elements as a solution

pleaseeeeeee helpppppppp​

Answers

Answer:

B) Multiplying by 0

Step-by-step explanation:

This answer is correct because lets say we have a nonzero number, (IN this case lets say 4) 4+0 is 4, and that does not change the value because it is still 4, so A is not correct. Multiplying by 1 and dividing by one leads to the same conclusion. They both wind up to 4. The only one is B) because 4x0 is 0 and that isn't 4, so it changes value.

Hope this helped :)

Chris bought 25.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. How many liters of gasoline did Chris buy?

Answers

Answer:

Chris bought approximately 96.52 liters of gasoline.

Step-by-step explanation:

Since the problem states that every gallon of gasoline has approximately 3.8 liters, simply multiply 3.8 by the number of gallons given (25.4).

25.4 * 3.8 = 96.52

220 m in 20 s

What is the unit rate?​

Answers

Answer:

m/s ...................................

please help me!


ty :)

Answers

Answer:

y-2 = 5(x-3)

Step-by-step explanation:

-

Hope that helps

4. Find the range of f(x) = -x + 4 for the domain {-3, -2, -1, 1}.
O {7, 6, 5, 3}
O {-7, -6, -5, -4}
O {7, 6, 5,4}
O {-7, -6, -5, 3}

Answers

It’s this first one- 7,6,5,3
You can get this by plugging each of the x values into the expression -x+4
Hope that helps
Other Questions
How much more did Taste of New York make from pepperoni pizzas than Pizzeria Italiano? What is the meaning of the statement below?Congress has the power to impeach the presidenta. Congress works together with the other branches.b. Congress can remove the president from office.c. Congress and the president dont get along.d. The president has more power than Congress. The quotient of 2 numbers, p and q. Solve this by elemination thx.5x-4y=163y+2x=-12And explain. A strong weightless rope has a mass, m, hanging from the middle of it. The tension force on each rope is 25 N, and the rope droops at an angle of 20.0 degrees. How much mass is hanging from the rope? Find the equation of a line whose graph passes through the two points (2,-3) and (4,-8). Which characteristic of Northern Renaissance artworks do Albrecht Drer and Pieter Bruegel the Elder share? ABCD is a parallelogram. What is the measure of ACD? PLEASE HELP MEEE!!!! 5. Jared visited his family doctor after suffering for days with a rash that appeared on his ankles and calves as soon as he arrived home from camp. Jared's doctor asked him several questions about his activities during the past week, including the places he'd been and the kind of clothing he wore. Then the doctor announced that Jared had a nasty case of polson Ivy.What kind of reasoning did Jared's physician use to make a diagnosis? Explain how you you were able to tell what kind of reasoning was used. Change direct into indirect speech : Richa said, "All the books lying on the shelf are mine." What kind of mood is created by the differences in the point of view between the characters and the reader? the boy in the striped pajams Why is it called life? which is a line of symmetry van is watching the birds in his backyard, of the birds he watched 9 of them or 45% are sparrows, how many birds are in his backyard What is the difference between form and shape? How could you use each ofthese elements in a design project? Annie is planning a business meeting for her company she a budget of $1,325 for meeting room at a hotel she expects 26 people to attend the meet cost of rental meet room $270 which is inequality shows to find the amount x Annie can spend on lunch for each person please help quickly Rubia was given a type of inclined plane called a ramp in her science class. Her teacher told her that the ramp should have a mechanical advantage of 3.Rubia pulled a block up the ramp, but afterward she calculated that the mechanical advantage of the ramp was 2.8 instead of 3. Her teacher said she did not make a mistake. What did Rubia calculate? A. the actual operating power of the ramp B. the actual mechanical advantage of the ramp C. the ideal mechanical advantage of the ramp D. the ideal operating power of the ramp Under the _________, Andrew Jackson replaced nearly all executive appointees during his term in office. HELP!!!list the sides of ABC in order from shortest to longest! Solving a problem often depends on how an individual represents a problem. Please select the best answer from the choices provided T F.