If f(x)=(2x^2)-1, find:
-f(3x-1)+2

Answers

Answer 1

Answer:

-f(3x - 1) + 2 = -18x² + 12x + 1

Step-by-step explanation:

Step 1: Find f(3x - 1)

f(3x - 1) = 2(3x - 1)² - 1

f(3x - 1) = 2(9x² - 6x + 1) - 1

f(3x - 1) = 18x² - 12x + 2 - 1

f(3x - 1) = 18x² - 12x + 1

Step 2: Plug in f(3x - 1)

-(18x² - 12x + 1) + 2

Step 3: Evaluate

-18x² + 12x - 1 + 2

-f(3x - 1) + 2 = -18x² + 12x + 1

Answer 2
-f(3x-1) + 2 = -18x2 + 12x+1

Related Questions

what are the four different ways to solve a quadratic equation? When would you prefer to use each method?

Answers

Answer:

4

Step-by-step explanation:

factoring , using square roots , completing the square and the quadratic formular

Answer:

See below.

Step-by-step explanation:

The four main ways to solve a quadratic equation are:

1) Factoring, 2) Completing the Square, 3) Graphing, and 4) Quadratic Formula.

Each method has it's own pros and cons.

1) Factoring. You should factor when the given equation is easily factor-able or already factored. For instance:

[tex]0=x^2-4x-12\\0=(x+7)(x-1)[/tex]

These problems are easily factored so factoring is preferred here. However, factoring will not always work.

2) Completing the Square. You complete the square if you are able to complete the perfect square trinomial with only integers. For instance:

[tex]x^2-2x-7=0\\(x^2-2x+1)-7-1=0\\(x-2)^2-8=0[/tex]

However, you wound't use completing the square if:

[tex]x^2-3x+2=0\\(x^2-3x+9/4)+2-9/4=0[/tex]

The perfect square trinomial includes fractions so you would use alternative methods here (and factoring works here!).

Despite the complexity of completing the square, if done correctly, it works every time. However, sometimes, it can be time-consuming.

3) Graphing. Graphing (if on paper) is time-consuming. You would only use graphing when you only need an approximation. Unless directed to, you probably won't need to use graphing.

However, if you have a graphing calculator, graphing the equation can allow you to check your answer. So, graphing won't get you precise answer, but it will allow you to check your answer is necessary.

4) Quadratic Formula. Use the quadratic formula if the equation isn't factor-able and completing the square is too tedious. For instance:

[tex]4.1x^2-3x-7=0\\[/tex]

This doesn't seem factor-able and completing the square will take a while. Graphing won't get the exact answer, so the quadratic formula is the only avenue left.

The quadratic method, like completing the square, will always work.

Only con is that you need to memorize the formula.

0 3C = n
Use the data in the table to give an equation to represent the proportional relation
ship.
X Y
0.5 7
1. 14
1.5 21
2 28

y = 14x
y = 7x
7y = x
21y = x

Answers

Answer:

[tex]\huge \boxed{y=14x}}[/tex]

Step-by-step explanation:

x=0.5, y=7

x=1, y=14

x=1.5, y=21

x= 2, y=28

Let’s take the first equation.

y = 14x

y = 14(0.5) = 7

When x is 0.5, y is 7.

y = 14(1) = 14

When x is 1, y is 14.

y = 14(1.5) = 21

When x is 1.5, y is 21.

y = 14(2) = 28

When x is 2, y is 28.

y=14x i hope this helped you

Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28

Answers

The right question is:

[tex]\frac{1}{2}x - 3y = 9[/tex]

[tex]5x + y = 28[/tex]

Answer:

[tex]x = 6[/tex]

[tex]y = -2[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}x - 3y = 9[/tex]

[tex]5x + y = 28[/tex]

Required

Solve for x and y

Make y the subject of formula in the second equation

[tex]y = 28 - 5x[/tex]

Substitute [tex]y = 28 - 5x[/tex] in the first equation

[tex]\frac{1}{2}x - 3(28 - 5x) = 9[/tex]

Open the bracket

[tex]\frac{1}{2}x - 3*28 - 3*- 5x = 9[/tex]

[tex]\frac{1}{2}x - 84 + 15x = 9[/tex]

Collect Like Terms

[tex]\frac{1}{2}x + 15x = 9+ 84[/tex]

[tex]\frac{x}{2} + 15x = 9+ 84[/tex]

[tex]\frac{x+30x}{2} = 93[/tex]

[tex]\frac{31x}{2} = 93[/tex]

Multiply both sides by 2

[tex]2 * \frac{31x}{2} = 93 * 2[/tex]

[tex]31x = 186[/tex]

Divide both sides by 31

[tex]\frac{31x}{31} = \frac{186}{31}[/tex]

[tex]x = \frac{186}{31}[/tex]

[tex]x = 6[/tex]

Recall that [tex]y = 28 - 5x[/tex]

So;

[tex]y = 28 - 5 * 6[/tex]

[tex]y = 28 - 30[/tex]

[tex]y = -2[/tex]

Hence;

[tex]x = 6[/tex] and [tex]y = -2[/tex]

the answer to the question is x=6 and y=-2

What is the name of a number that can be written in the form a+bi where a and b are nonzero real numbers?

Answers

Answer:

We are talking about Complex numbers.

Considering [tex]\mathbb{C}[/tex] as the set of Complex numbers, we have

[tex]\Bbb{C}=\{a+bi\ : a, b \in\ \Bbb{R}\}[/tex]

A complex number is a number of the form [tex]a+bi[/tex]

as [tex]i^2=-1[/tex]

the answer is complex numbers

Raj and Carlos are reading. Carlos reads a chapter in 444 minutes, which is 333 minutes less time than it takes Raj.
How long does it take Raj to read a chapter?

Answers

Answer:

777 minutes

Step-by-step explanation:

Take the amount it takes carlos add the difference between carlos and raj to get the amount it takes raj

444+ 333 = 777

777 minutes is the correct answer

A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 665 milliliters of the drug, how many milliliters of compound B are needed?

Answers

375 milliliters of compound B

375 millimeters of compond B

Given f(x) = -4(x-3)^2-2
a) Determine the inverse of f(x)
b) List the domain and range of inverse.

Answers

Answer:

[tex]\sqrt{\frac{x+2}{-4} }+3=y[/tex] d=(-infinity,-2) r=(3,+infinity)

Step-by-step explanation:

i did the math

It’s d=(-infinity,-2) and r=(3, plus infinity) :) hope this helped

4. EF is the median of trapezoid ABCD.
B
X +12
с
E
4x-18
F
3x-4
A
Part I: Solve for x. Show your work. (4 points)

Answers

Answer:

x = 11

BC = 23

AD = 29

EF = 26

Step-by-step explanation:

Given:

Trapezoid ABCD, having,

median = EF = 4x - 18

base BC = x + 12

base AD = 3x - 4

Required:

Part I: value of x

Part II: Length of BC, AD, and EF.

Solution:

Part I: Value of X

The median length of a trapezoid is said to be the ½ of the sum of the 2 bases of the trapezoid.

Therefore, EF = ½(BC + AD)

4x - 18 = ½((x + 12) + (3x - 4)

4x - 18 = ½(x + 12 + 3x - 4)

4x - 18 = ½(x + 3x +12 - 4)

4x - 18 = ½(4x + 8)

Multiply 2 by both sides

2(4x - 18) = 4x + 8

8x - 36 = 4x + 8

Add 36 to both sides

8x - 36 + 36 = 4x + 8 + 36

8x = 4x + 44

Subtract 4x from both sides

8x - 4x = 4x + 44 - 4x

4x = 44

Divide both sides by 4

x = 11

Part II:

BC = x + 12 = 11 + 12 = 23

AD = 3x - 4 = 3(11) - 4 = 33 - 4 = 29

EF = 4x - 18 = 4(11) - 18 = 44 - 18 = 26

Tom bought 20 boxes of flowers. Each box cost him £6. Each box contains 15 flowers. 3/5 He sells of the total number of flowers for 70p each. He then sells the remaining at 50p each. Work out the total profit Tom makes.

Answers

330

20 * 6 equals 120 that is the cost price

and 3/5 of the 15 flowers is 9 which was sold for 7

and the remaining that is 15 - 9 that's 6 sold for 50 each

now times it by 70 * 9 equals 630 50 * 6 equals 300 so 630 - 300 equals to 330 that is the profit

I hope this helps

Answer:

66

Step-by-step explanation:

The money he spent:

20 x 6 = 120

=> The number of flowers he bought:

=> 15 x 20 = 300

3/5 of 300 = 900/5 = 180

So, he sold 180 flowers for 70cents.

=> 180 x 70 = 12600 cents

=> 126  dollars

The remaining for 50 cents

=> 2/5 x 300 = 600 / 5 = 120

So, he sold 120 flowers for 50 cents

=> 120 x 50 = 6000 cents

=> 60 dollars

He got a total of 60 + 126 = 186 dollars.

He spent 120 dollars in the starting to buy the flowers.

=> 186 - 120

=> 66 dollars

So, he gets a profit of 66 dollars.

$12,800 at 12% for 3 years find the total amount ?

Answers

Answer:

so first you do

12800*.12 which is  1536

so $1536 for 1 year

for 3 years multiply it by 3

1536*3=

$4608

so 4608+12800 =

17408 is totall

Mark brainliest

17,408 is the amount

Find the distance between the points X and Y shown. Question 5 options: A. 29−−√ B. 21−−√ C. 21 D. 5–√

Answers

Answer:

A

Step-by-step explanation:

From the graph we can notice that the coordinates of the poinrs x and y are:

● x(-2,0)

● y(3,-2)

There are many methods to find the distance between x and y. We will use the distance formula.

Let d be the distance between x and y.

● d = √[(-2-3)^2 + (0-(-2))^2]

● d = √[(-5)^2 + 2^2]

● d = √(25+ 4)

● d = √(29)

The other method was using the pythagorian theorem. d is the hypotenus.

But finding the decisions between point XNY shown in question five would be A

There are four points on a line: A, B, C and D, so that AB=1, BC=2, CD=4. Find the length of segment AD .Consider all possibilities and draw a picture for each one of them.

Answers

Answer:

The answer is 7

Length of all the the three segments is equal to the length of the line segment AD

AB (1)+BC (2)+CD (4)= 7
So AD would equal 7

Can you solve this???

Answers

BAE + HEG = 180°

124 + 2x+6 = 180°

2x+6 = 56

x = 50/2

x = 25°

Reason:

Given

HEG = EAD since they are corresponding angles

EAD + EAB = 180° since they are supplementary angles.

xx

25 degrees I believe✅ good luck !!!!

Drag the sliders.
Shape A
Shape B
Which slider creates scale copies of the shape?
A-Slider for Shape A
B-Slider for Shape B

Answers

Answer:

the answer would be shape b

Answer:

B

Step-by-step explanation:

Question 9 of 10
Which of the following are exterior angles? Check all that apply.
O A. 24
O B. _3
O c. 7
O D. 25
O E. 2.
O F. 26

Answers

Answer: A, B and

Explanation:
Angle 3, 4, and 2 are the exterior angles because it locates outside

Answer:

[tex]\boxed{\sf A, \ B \ and \ E}[/tex]

Step-by-step explanation:

[tex]\sf Exterior \ angles \ are \ the \ angles \ located \ outside \ of \ the \ triangle.[/tex]

1. What is the ratio of the sides? 2. Using Complete sentences, explain how you could verify that these two triangles are indeed similar.

Answers

Answer:

1) 10/15=2/3

2) You would have to make certain that they have the same three interior angles.

Step-by-step explanation:

1) 10/15=2/3

2) You would have to make certain that they have the same three interior angles.

What is the area of the regular hexagon shown below?

Answers

Answer:

Area = 2127.1 cm^2  (to the tenth)

Step-by-step explanation:

We may be missing the length of a side at the top of the picture.

However, we are given "a", so the sides of a regular hexagon can be calculated.

The side of a regular hexagon given "a" is

s = 2a/sqrt(3) = 28.61

Perimeter of hexagon

= 6s

Area of hexagon

= a*perimeter/2

= a*6s/2

= 3as

= 3a*2a/sqrt(3)

=2sqrt(3)a^2

= 2*sqrt(3)*24.78^2

= 2127.1 cm^2  (to the tenth)

area:2127.1cm^2 (make sure it’s to tenth)

3. The ratio of boys to girls in the 9th grade is 7 to 8. There are 304 girls. How many boys are there?
266 boys
243 boys
303 boys
347 boys

Answers

Answer: 266 boys
Because there are 304 girls we do 304/8=38 now we do 38 multiplied by 7 (as that is the ratio for the number of boys) 38*7=266 boys
Hope this helped
266
Because
304/8 is 38 then multiply it by 7
Equation:

(304/8) x 7 = 266

Use addition to solve the linear system of equations. 2x + y = 5 3x + 2y = 4 (6,7) (-6,-7) (6,-7) (-7,6)

Answers

Answer:

Solving 5x + y = 5 and - 3x + 2y = 6 gives (4/13,45/13) Similarly solve other combinations by observing graph to get other coordinates. From the figure we have obtained coordinates of corners as:

Step-by-step explanation:

The Solution for the linear equation is ( 6, -7)

What is Linear Equation?

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation.

Given:

2x + y = 5.......................(1)

and, 3x + 2y = 4....................(2)

Multiply the equation (1) by 2 we get

4x + 2y = 10 ....................(3)

Solving Equation (2) and (3), we get

  3x  +  2y  = 4      

  4x  +  2y  = 10

-         -           -

_____________

    -x = -6

      x= 6

and, y= 5- 2x = 5-2(6) = -7

Hence, the solution is (6, -7)

Learn more about linear equation here:

https://brainly.com/question/11897796

#SPJ2

write the formula used to find length when the breadth height and volume are known........breadth when the length height and volume are known............ height when the breadth length and volume are known ..............Please answer this as fast as possible my homework is due tommorow

Answers

Answer: L = V/bh

b= V/Lh and h= V/Lb

Step-by-step explanation: V = Lbh or V= lwh is also used for the Basic form for the Volume of a cube or rectangular prism is

Volume = Length × breadth × height

The volume will be expressed as cubic units such as cubic meters cubic feet. Sometimes abbreviations are used like cm^3 for cubic centimeters.

When you know the Volume, and you need to find a missing dimension, just make a fraction with the V in the numerator and the dimensions you know in the denominator. This means you are dividing the Volume by the area of the dimensions you have been given to find the missing dimension.

Your answer will be fine

Find the value of a. A. 52 B. 26 C. 104 D. 93.5

Answers

Answer:

Option (A)

Step-by-step explanation:

To find the value of 'a' we will use the tangent-chord theorem,

"Angle formed by the chord and a tangent to the circle measure the half of the intercepted minor arc"

Angle 'a' is formed between the chord and the tangent.

Measure of the intercepted arc = (2 × 52)°

Therefore, measure of the angle 'a' = [tex]\frac{104}{2}[/tex]

a = 52°

Therefore, Option (A) will be the correct option.

It’s a because it is in obtuse angle and obtuse angels are the largest angles

Find the center, vertices, and foci of the ellipse with equation x squared divided by 81 plus y squared divided by 225 equals 1.

Answers

To do this the equation must be put into standard form first.

According to Newton's Second Law of Motion, the sum of the forces that act on an object with a mass m
that moves in an acceleration a is equal to m . a
An object whose mass in 80 grams has an acceleration of 20 meters per seconds square.
What calculation will give us the sum of the forces that act on the object, in Newtons (which are
kg.m/s2)?

Choose 1 answer.
A 80 . 20
B 80 . 1000 . 20
C 80/1000 . 20
D 80/602. 20

Answers

Answer: 80/1000 • 20

Answer:

Screenshots attached! Hope it helps :)

The price of one share of Disney stock declined $2.50 per days for 5 days in a row. What was the overall change in the price?

Answers

“Decline” means that you need to subtract the quantity so the decrease can be expressed by -2.50. To find the overall change, we can do -2.50 / 5 = -0.5 which means that overall, the stock decreased by $0.50 per day.

a grandfather purchased a brand new car in 1958 for ​$2500.the car depreciated ​$325 a year. what would the car be worth 4 years after it was​ bought?

Answers

Answer:

$1200

Step-by-step explanation:

Since the value of the car depreciates $325 a year.

After 4 years it would be 1300, becuase $325 × 4 = $1300.

So, $2500 - $1300 = $1200

$1,200

The car worth started at $2,500

Four years would be $325 • 4
It’ll give you the answer of $1,300

You now need to subtract the $1,300 from the $2,500 and you’ll be left with $1,200

Please help being timed!!! Given: △ABC AB=BC=AC Area of △ABC= 25 3 4 cm2 Find: The perimeter

Answers

Answer:

15 cm

Step-by-step explanation:

The area of an equilateral triangle is:

[tex]\frac{\sqrt{3} }{4}a^2[/tex], where a is the length of one side.

We can find the value of a (the length) by:

[tex]\frac{25\sqrt{3} }{4} = \frac{\sqrt{3} }{4}a^2[/tex]

[tex]a^2 = 25[/tex]

a = 5, so the side length of this triangle is 5 cm.

The perimeter of an equilateral triangle will be 3 times the length.

[tex]3\cdot5=15[/tex]

Hope this helped!

How do I determine if -3x+y =8 is a function?

Answers

Answer- To determine if Y=-8 is a function, you must do the vertical line test. If you were to plot Y=-8 on a coordinate plane, you would see that at the point of (0,-8)[which is what Y=-8 is also] is on the Y axis and makes a horizontal linet hat passes through (o,-8).

You need to see if it passes the vertical line test, then graph it to see if it is but is a function tho.

attachment help asap ill mark brainliest

Answers

Answer:

1 is not even and it is a factor of 8

Answer:

1

Step-by-step explanation:

Factors of 8

1,2,4,8

1 is an odd number

This proves that Alice is wrong :(

Hope this helps....

Have a GOOD DAY !!!

Pls mark my ans as brainliest If u mark my ans as brainliest u will get 3 extra points

Find the surface area and volume of the following figures.

Answers

White figure Area = 128[tex]\pi[/tex]

White surface area = appro. 301

Yellow area = 320[tex]\pi[/tex]

Yellow Surface area = approx. 653

Area found with = 2πrh+2πr2

Surface Area found with = 2πrh+2πr2

You need to memorize them for tests

Hope that helped!!! k

There a hinded message Jeff

Solve. 1/2(-4 — 2n) = -17 Please explain it to me if you can I dont really understand how to do these types of problems so it would be much appreciated!

Answers

Answer:

n = 15

Step-by-step explanation:

[tex] \frac{1}{2} ( - 4 - 2n) = - 17[/tex]

First of all try to see if there are fractions in the equation .

If so try to find the LCM of the fractions and multiply the equation through by the LCM.

If there is only one fraction multiply through by the denominator of the fraction to eliminate the fraction

If there are brackets try to solve the terms in the bracket first

For the above equation there is only one fraction which is 1/2 so we multiply through by the denominator that's 2

That's

[tex]2 \times \frac{1}{2} ( - 4 - 2n) = - 17 \times 2[/tex]

[tex] - 4 - 2n = - 34[/tex]

Try to make the unknown variable the subject

That's

[tex] - 2n = - 34 + 4[/tex]

Simplify

[tex] - 2n = - 30[/tex]

Divide both sides by -2 to make n stand alone

That's

[tex] \frac{ - 2n}{ - 2} = \frac{ - 30}{ - 2} [/tex]

We have the final answer as

n = 15

Hope this helps you

The correct answer would be n = 15.
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