Evaluate the following function over the domain {0,1,2,3}. What is the range? g (x) = -2x^{2} + 2

Answers

Answer 1

Answer:

the range= {-16, -6, 0, 2}

Step-by-step explanation:

domain={0,1,2,3}

g(x)= -2x^{2} + 2

g(0)= -2(0)^{2} + 2 =2

g(1)= -2(1)^{2} + 2 =0

g(2)= -2(2)^{2} + 2= -6

g(3)= -2(3)^{2}+ 2= -16

the range = {-16, -6, 0, 2}


Related Questions

Antony borrowed 20,000,000 for 7 years his interest rate is 5% how much interest will he pay in all

Answers

Answer:

7,000,000

Step-by-step explanation:

[tex]Principal = 20,000,000\\Time =7\:years\\Rate = 5\%\\Simple\:interest =?\\\\Simple\:interest = \frac{Principal\times Rate\times Time}{100} \\\\S.I= \frac{20000000\times 5 \times 7}{100} \\\\S.I==\frac{700000000}{100}\\\\Simple\: interest=7000000[/tex]

The solution is, he will pay 7000000 interest in all.

What is interest?

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

Here, we have,

formula: I = Prt.

here, we have,

given that,

Antony borrowed 20,000,000 for 7 years his interest rate is 5%

i.e. we get,

P= 20,000,000

t = 7

r= 5%

and, we have to find I

so, we have,

I = P r t

 =20,000,000*5*7/100

 =7000000

Hence, he will pay 7000000 interest in all.

To learn more on interest click:

brainly.com/question/29335425

#SPJ3

need help please help​

Answers

Answer:

  9 minutes

Step-by-step explanation:

The water volume in pool 1 starts at 50 gallons and increases at 2.3 gallons per minute. An expression for that volume could be ...

  v = 50 +2.3t

The water volume in pool 2 starts at 102.2 gallons and decreases at 3.5 gallons per minute. An expression for that volume could be ...

  v = 102.2 -3.5t

The volumes will be equal when ...

  50 +2.3t = 102.2 -3.5t

  5.8t = 52.2 . . . . . . . . . . . subtract 50-3.5t from both sides

  t = 52.2/5.8 = 9 . . . . . . . divide by the coefficient of t

After 9 minutes, the pools will contain the same amount of water.

_____

The equation 5.8t = 52.2 tells you the 52.2 gallon difference in volumes is being reduced at the rate of 5.8 gallons per minute. You don't really need the 'v' equations to figure that out.

23,900
Write each number in scientific notation.​

Answers

Answer:

2.39 x 10 to the power of 4

Simplify. (5x4 + 3)2 A. 25x8 + 30x4 + 9 B. 10x8 + 30x4 + 6 C. 25x16 + 30x4 + 9 D. 25x8 + 9​

Answers

Answer:

The answer is option A

Step-by-step explanation:

( 5x⁴ + 3)²

( 5x⁴ + 3)(5x⁴ + 3)

Expand using FOIL

That's

(5x⁴)(5x⁴) + 5x⁴(3) + 3(5x⁴) + 3(3)

We have

[tex]25 {x}^{8} + {15x}^{4} + {15x}^{4} + 9[/tex]

Add and simplify like terms

We have the final answer as

[tex] {25x}^{8} + {30x}^{4} + 9[/tex]

Hope this helps you

What is the value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8? a. 20 b. 32 c. 44 d. 48

Answers

Answer:

c. 44

Step-by-step explanation:

½m - ¾n = 16

½m - (¾×8) = 16

½m - 6 = 16

½m = 16 + 6

½m = 22

m = 44

Answer:

c 44

Step-by-step explanation:

its on edge

estimake square root of 11. ?

Answers

Answer:

11 not have root

Step-by-step explanation:

beause it is the prime number MARKE AS BRILLIANT

Answer:

3.3164 correct to four decimal places

Step-by-step explanation:

WE USE BINOMIAL THEOREM.

√11=√(10+1)=(10 + 1)^½

FACTOR TEN OUT

=> 10^½(1 +1/10)^½

WE KNOW THAT:

(1 +X) ^n= 1 + nX + [n(n -1)(x)²]/2! + .........

NOW LET X =1/10 AND n= ½

SUBSTITUTING INTO THE FORMULA ABOVE

=>(1/10)^½ [1 + (½)(1/10) +[½(½ –1)(1/10)^½]/2×1 + ......]

=(1/10)^½[1 + 1/20–1/800 +......]

=> (1/10)^½(839/800)

≈3.3164

THEREFORE √11 ≈ 3.3164( ESTIMATED)

number 8 please! i kinda need help ASAP please! it’s due tomorrow

Answers

Answer: Answer is in the steps

Step-by-step explanation:

The perfect square that is less than 15 is  9 and greater 15  is 16  and the square root of 15  falls between 3 and 4 because 3 times 3 is 9 and 4 times 4 is 16.

 

   First row:      9 < 15 < 16

 Second row   [tex]\sqrt{9} < \sqrt{15} < \sqrt{16}[/tex]  

Third row ;        3 < [tex]\sqrt{15}[/tex]  < 4

jacob weights 36.4 pounds and alice. weights 42.275 pounds. how much do they weigh together

Answers

Answer:

78.675 pounds

Step-by-step explanation:

36.4 + 42.275 = 78.675 pounds

Answer:

it is 78.675 just round it to the nearest something which would be 78.68

Step-by-step explanation:

just add and round

Represent the following sentence as an algebraic expression, where "a number" is the letter x.
A number plus 2

Answers

Answer:

X+2

Step-by-step explanation:

A number is x plus 2

X+2

i need a little help with this equation 15-5+5^2

Answers

Answer:

35

Step-by-step explanation:

15-5+(5^2)

10+25

35

Add.
(2x2 - 2x) + (6x – 4)

Answers

2x^2 + 4x - 4

..........................

Answer:

x = {-2, -1}

Step-by-step explanation:

Combine like terms: 0 + -2 = -2

x = -2

Simplifying

x = -2

Combine like terms: 0 + -1 = -1

x = -1

Simplifying

x = -1

Is is greater than less or equal to 4.09_4.90

Answers

Its less than i think yeah

What is the slope of a line that passes through 41-50

Answers

Answer:

-15/7

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1 so replace the variables with -8-7/3-(-4) and solve which gets you -15/7

How can you approximate the value of VI 30 ?

Answers

Answer:

VI is 6

Step-by-step explanation:

Answer:

VI is 6

Step-by-step explanation:

A tree that grows 3 feet every 5 years is growing at a rate of ___ feet per year.'

Answers

[tex]\bf Step-by-step~explanation:[/tex]

Objective: You need to find the number of feet the tree grows every year (the unit rate).

[tex]\bf Steps:[/tex]

FIrst, we look at what we have now. The tree grows 3 feet every 5 years, so we have to divide 3 by 5 to get the number of feet the tree grows in one year.

[tex]\bf 3~feet~divided~by~5~years~=~Our~final~answer\\\frac{3}{5}=\frac{6}{10}~(multiplied~3~and~5~by~2)\\ \frac{6}{10} =0.6~feet[/tex]

[tex]\large\boxed {\bf Our~final~answer: ~0.6~feet~per~year}[/tex]

[tex]The~tree~grows~at~a~rate~of~0.6~feet~per~year.[/tex]

Rewrite as a simplified fraction.
3.2 = ? 2 is repeating

Answers

Answer:

3

.

¯

2

=

29

9

Explanation:

Using the notation of a bar over a set of digits to denote their infinite repetition,

let  

x

=

3

.

¯

2

10

x

=

32

.

¯

2

10

x

x

=

32

.

¯

2

3

.

¯

2

=

29

9

x

=

29

x

=

29

9

This technique works in general. Set  

x

as your desired value, multiply by  

10

n

where  

n

is the number of digits repeating, and then subtract  

x

to eliminate the infinitely repeating portion. It then is just a matter of dividing by  

10

n

1

a

Step-by-step explanation:

x=536/165

you should know what to do since your in this part of the unit

I WILL MARK YOU BRAINLIEST. Xavier decorated his paper with stickers. He put 3 stickers on his paper. Each sticker is 1/8 inches wide and 2/5 inches long. What is the total area, in square inches, of all of the stickers Xavier used?

Answers

Answer:

3x1/8x2/5=3/20

Step-by-step explanation:

The length of a rectangle is 16m greater than the width. If the perimeter of a rectangle is 256m, what is the width of the rectangle?

Answers

Answer:

L=16+W

2W+2(16+W)=256

2W+32+2W=256

4W=224

W=56

A researcher randomly selected 30 people to participate in a study to investigate which of two materials, A or B, used in the heels of sneakers will last longer. The researcher is considering two design types for the study.

Design 1: Randomly assign 15 participants to wear sneakers with material A on their left feet and material B on their right feet. The remaining participants will wear sneakers with material B on their left feet and material A on their right feet.
Design 2: Randomly assign 15 participants to wear sneakers with material A on both feet and the remaining participants to wear sneakers with material B on both feet.
Which of the following best describes each design?

Answers

Answer:

Design 1

Step-by-step explanation:

Design one would work better because the students get to see both materials (each on one foot) and if they do the same things each day with both feet, they can test how the material works with the activity...If that makes sense

The question is an illustration of a random selection.

The descriptions of the designs are:

Design 1 is a matched pair designDesign 2 is a completely randomized design.

Design 1

From the question, we understand that:

15 participants wear material A on the left feet, and material B on the right feet.The other 15 wear material B on the left feet, and material A on the right feet.

The above description is a matched pair design, because half of the participants gets randomly assigned to material A and B, while the other half gets automatically assigned to the remaining materials.

Design 2

From the question, we understand that:

15 participants wear material A on both feetThe other 15 wear material B on both feet

The above description is a completely randomized design, because half of the participants gets randomly assigned to material A, while the other half gets randomly assigned to material B.

Read more about random selections at:

https://brainly.com/question/10678373

Point K is on line segment JL. Given JK = 5x + 7, JL = 2x+8, and KL = 4,

determine the numerical length of JL.

Answers

Answer:

The numerical length of JL is 6 units

Step-by-step explanation:

Here, we want to determine the numerical length of JL

Mathematically;

JL = JK + KL

2x + 8 = 5x + 7 + 4

2x + 8 = 5x + 11

5x -2x = 8-11

3x = -3

x = -1

But JL = 2x + 8

JL = 2(-1) + 8 = -2 + 8 = 6

Question 1 (Multiple Choice Worth 5 points)
Use absolute value to express the distance between -10 and 16 on the number line.
01-10 - 161 = -6
01-10 - 161 = 6
1-10 - 16= -26
• |-10 - 161 = 26

Answers

Answer:

Answer should be I 16-(-10) I = 26

But I guess it's the last choice you listed, I -10-16 I = 26

Two lines in the same plane that will not intersect are parallel. always sometimes never

Answers

Answer:

Always

Step-by-step explanation:

If two lines are coplanar and will not intersect, they are parallel.

Always if two lines are for corplanar and don’t intersect they’re parallel

​Hank's pickup can travel 95 miles on 5 gallons of gas. How many gallons will​ Hank's pickup need to travel ​76 miles?

Answers

Answer:

miles/gallons: 80/5 = 48/g

Cross multiply

80g = 240

g = 3 gallons

Step-by-step explanation:

4 gallons will​ Hank's pickup need to travel ​76 miles.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

​Hank's pickup can travel 95 miles on 5 gallons of gas.

95 miles ⇒  5 gallons of gas

76 miles ⇒ X

95X = 76 × 5

X = [tex]\frac{76(5)}{95}[/tex]

X = 4

4 gallons will​ Hank's pickup need to travel ​76 miles.

Find out more information about unitary method here

https://brainly.com/question/22056199

#SPJ2

please solve for x, and give me an explanation on how you did so? 1/2x-1/3=5/6

Answers

Answer: x = 7/3

=======================================================

Explanation:

Fractions are a pain to deal with, so whenever possible I recommend you eliminate them. With equations like this, you can multiply both sides by the same number to do so. The question is: which number would that be?

If you pick on the LCD, then you'll be able to clear out the fractions. The LCD of 1/2, 1/3, and 5/6 is 6 since the LCM of the denominators is 6.

Multiply both sides by 6 to get

(1/2)x - 1/3 = 5/6

6*[ (1/2)x - 1/3 ] = 6(5/6)

6*(1/2)x - 6*(1/3) = 6(5/6)

3x - 2 = 5

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

At this point, the fractions are gone. We can now solve like so

3x-2 = 5

3x-2+2 = 5+2 ... adding 2 to both sides

3x = 7

3x/3 = 7/3 .... dividing both sides by 3

x = 7/3

Answer:

x=5/6

Step-by-step explanation:

12x−13=5612x-13=56

Combine 1212 and xx.

x2−13=56x2-13=56

Move all terms not containing xx to the right side of the equation.

Add 1313 to both sides of the equation.

x2=56+13x2=56+13

To write 1313 as a fraction with a common denominator, multiply by 2222.

x2=56+13⋅22x2=56+13⋅22

Write each expression with a common denominator of 66, by multiplying each by an appropriate factor of 11.

Multiply 1313 and 2222.

x2=56+23⋅2x2=56+23⋅2

Multiply 33 by 22.

x2=56+26x2=56+26

Combine the numerators over the common denominator.

x2=5+26x2=5+26

Add 55 and 22.

x2=76x2=76

Multiply both sides of the equation by 22.

2⋅x2=2⋅

What is the formula of area​

Answers

Answer:

Square: Area = S²

Rectangle: Area = lw (L x W)

Triangle: Area = bh/2

Circle: Area = 3.14(r)²

Karen sells tickets at a movie theater. Last night she sold 128 tickets for a total of $1108. Adult's tickets cost $10 and children's tickets cost $6. How many of each kind of ticket did Karen sell?

Answers

Answer:

Adult's tickets 85

children's tickets 43

Step-by-step explanation:

x + y = 128

10x + 6y = 1108

x = 128 - y

10(128 - y) + 6y = 1108

1280 - 10y + 6y = 1108

1280 - 4y = 1108

-4y = 1108 - 1280

-4y = -172

y = -172/-4

y = 43

x = 128 - y

x = 128 - 43

x = 85

Need help i don't understand

Answers

The second one brother

Translate sentence into an equation. Then ſind each number.
1. Seven more than three times a number is 16.
How to translate it

Answers

Answer:

This is the equation

Step-by-step explanation:

7 + 3x = 16

Please mark as brainliest.

4(-32x+5)-(-33x-26)=

Answers

Answer:

-95x+46

Step-by-step explanation:

4(-32x+5)-(-33x-26)=

-128x+20-(-33x-26)=

-128x+20+33x+26

-95x+46

Answer:

-95x-46

Step-by-step explanation:

4(-32x+5)-(-33x-26)=

-128x+20-(-33x-26)=

-128x+20+33x+26

-95x+46

Simplify 7 -(-4) + 3(-6).
0-7
07
-9
9

Answers

it’s -7
7-(-4) is 7+4, which is 11
3 times -6 is -18
11 + -18 is -7
Answer: -7

7-(-4)=7+4=11
3(-6)= -18
11+(-18)= -7
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