F(x) = 3 x 2 − 3 x − 6 The domain of a the function f(x) is { -10, -1, 1, 5 }. What is the range of the relation?

Answers

Answer 1

Answer:

{324, 0, -6, 54}

Step-by-step explanation:

Given that F(x) = 3x² − 3 x − 6 If the domain of a the function f(x) is { -10, -1, 1, 5 }.

To get the range, we will find f(x) for all the domains

at x = -10

f(-10) = 3(-10)²-3(-10) - 6

f(-10) = 3(100)-3(-10) - 6

f(-10) = 300+30-6

f(-10) = 330-6

f(-10) = 324

at x = -1

f(-1) = 3(-1)²-3(-1) - 6

f(-1) = 3(1)-3(-1) - 6

f(-1) = 3+3-6

f(-1) = 6-6

f(-1) = 0

at x = 1

f(1) = 3(1)²-3(1) - 6

f(1) = 3(1)-3(1) - 6

f(1) = 3-3-6

f(1) = 0-6

f(1) = -6

at x = 5

f(5) = 3(5)²-3(5) - 6

f(5) = 3(25)-3(5) - 6

f(5) = 75-15-6

f(5) = 60-6

f(5) = 54

Hence the range of the relation are {324, 0, -6, 54}


Related Questions

6x times (-2y)

Urgent please send solution

Answers

Answer:

_2y6x

Step-by-step explanation:

this is the answer

I hope it will helps you

Gabriela was solving an equation, but when she checked her answer, she saw solution was incorrect . She knows she made a mistake, but she can’t find it.

Answers

Answer:

The distribution at the 2nd line

Step-by-step explanation:

I believe where Gabby went wrong was in her multiplication distribution

12*5=60 not 72

hope this helps!!

The value of y form the given equation is -65/11. Gabriela did mistake in second step while multiplying 12 and 5 and - sign into a bracket.

The given equation is 12(5+2y)=4y-(5-9y).

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows:

12(5+2y)=4y-(5-9y)

⇒ 60+24y=4y-5+9y

⇒ 60+24y=13y-5

⇒ 24y-13y=-5-60

⇒ 11y=-65

⇒ y=-65/11

Therefore, the value of y form the given equation is -65/11. Gabriela did mistake in second step while multiplying 12 and 5 and - sign into a bracket.

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5.071 to 1 decimal place?

Answers

Answer:

5.1

Step-by-step explanation:

I don't know how to explain, but 1 decimal place is the number after the dot

5.1, just round from left to right by using rounding rules

help me I wasn't here

Answers

Answer:

6/8 or 3/4 or 75%

Step-by-step explanation:

Solving Systems using tables

Mikayla put $212 in a savings account at the beginning of the year. At the end of each month, she withdrew $12 from her account. Mathew put $30 in his savings account at the beginning of the year. At the end of each month, he deposited $14 in his account. Let x represent the number of months which have passed and y represent the amount in each savings account.

A. Write an equation to represent the amount in Mikayla’s savings account.

B. Write an equation to represent the amount in Matthew’s savings account.

C. Below make an input-output tables that show the amount in each account for the first 8 months

D. When will Mikayla and Matthew have the same amount in their accounts?


Mikayla Matthew
X Y X Y
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8

Answers

Answer:

i hope this helps

Step-by-step explanation:

3% is the interest rate. Using the formula I=PRT, you can simply derive the rate by putting the given numbers in.

I = 450P = 3,000R = ?T = 5 Years

The equation now goes,450 = 3,000 * R * 5450 = 15,000 * R450/15,000 = R0.03 = R

multiply it by 100,

R = 3%

Find x if it is one of the legs.

Answers

can you be more specific? or add a picture
The Pythagorean Theorem.?

Using the following table, what is the correct equation?
х
f(x)
-1
2/5
0
2.
1
10
2
50

Answers

Answer: 50

Step-by-step explanation: hope this helpss

What is 3(5)(5-2)+2

Answers

Answer:

47

Step-by-step explanation:

3 × 5 × (5-2) + 2

15 × (3) + 2

45 + 2

= 47

Use the expression 5a – 2b – 3 + 2b – 6a.

Part A

Simplify the expression.
–4
2a – 4b
–a – 3
a – 3
Part B

Which of the following is an equivalent expression?
–(3 + a)
–a + 3
–(a – 3)
–3 + a

Answers

Answer:

5a + (-6a) + (-2b) + 2b + (-3) = -a -3 or -(a + 3) so first answer is correct because -(a + 3) is the same as -(3 + a)

Step-by-step explanation:

Work out the lengths of b of 17cm and 12cm pythagoras

Answers

Answer:

[tex]hypotenuse = \sqrt{ {17}^{2} + {12}^{2} } \\ = \sqrt{289 + 144 } \\ = \sqrt{433} [/tex]

If a student saves $35 per week how long will it take to save enough money to buy a computer

Answers

Answer:

How much does the computer cost?

Step-by-step explanation:

When you let me know I'll come back and help you with the answer :)

Tt will take  [tex]$\frac{x}{35}[/tex] weeks to buy the computer

We have student who saves $35 per week.

We have to determine how many weeks will it take to save enough money to buy a computer.

If you save $30 per week, how much money you will save in 10 weeks ?

In 10 weeks you will save - 30 x 10 = $300

According to the question, we have -

Amount saved per week -  $35

Assume that the cost of the computer is $x.

Now -

$35 → 1 week

$1 →  [tex]$\frac{1}{35}[/tex] week

$x →  [tex]$\frac{x}{35}[/tex] weeks.

Hence, it will take  [tex]$\frac{x}{35}[/tex] weeks to buy the computer. You can put the cost of computer at the place of x and determine the number of weeks needed.

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In the city where sonya lives, it rains and average of 8.05 centimeters each month last year.About how many centimeters of rain fell in all last year? Show your work.

Answers

In total it rained 96.6cm that year but on average it rained 100cm that year.
You would multiply 8.05 times the #of momths which is twelve.

The total centimeters of rainfall in the city for the past year where Sonia lives is given by the equation A = 96.6 cm

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total centimeters of rainfall for the past year be A

Now , the equation will be

The centimeters of rainfall every month in the city = 8.05 cm

The total number of months in a year = 12 months

So ,

The total centimeters of rainfall in the city for the past year A = centimeters of rainfall every month in the city x total number of months in a year

Substituting the values in the equation , we get

The total centimeters of rainfall in the city for the past year A = 8.05 x 12

On simplifying the equation , we get

The total centimeters of rainfall in the city for the past year A = 96.6 cm

Therefore , the value of A is 96.6 cm

Hence , the total rainfall is 96.6 cm

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Solve the inequalities by graphing. Select the correct graph. y> X y<-X​

Answers

Answer:

i think is y>X

Step-by-step explanation:

Which expression is equivalent to -3(m + 5)?

A: m - 15.
B: -3m + 5.
C: -3m - 15.
D: - 15m.

Answers

the answer is -3m - 15 .

hope it helps you

PLEASE ANSWER I NEED HELP ASAP
The table shows the running speeds of 10 randomly
selected ostriches.
Speed (miles per hour)
35 40 37 33 36 34 32 36 41 36
Based on the data, select the most reasonable prediction about the speed of
ostriches.
A. The typical ostrich runs at speeds greater than 40 miles per hour.
B. The top speed of an ostrich is 40 miles per hour.
C. The typical ostrich runs at a speed of about 30 miles per hour.
O D. The typical ostrich runs at a speed of about 36 miles per hour.

Answers

D the typical ostrich runs at a speed of about 36 mph

U work this out by adding all number together then diving by number of results

So total of results = 360
360/10 results = 36

Answer:

D 36MPH

Step-by-step explanation:

i need the answers plzz

Answers

Answer:

I dont know but when u got the answer tell me

Answer:

20 small cups and 10 large cups

Step-by-step explanation:

It's just a case of trial and error for me, 40 small cups is 320, which doesnt work. 30 and 15? 30*8=240 15*16=240 nop. 20 and 10? 20*8=160 10*16=160 160+160=320 yup! So 20 small cups and 10 large cups

David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500. How much would David make as a salary after 4 years working for the company? What would be his salary after t years?

Answers

Answer:

He would be making 79000 after 4 years and I am guessing t means ten and that would be 94000.

Step-by-step explanation:

Answer:

salary after 4 years: 79,000

salary after t years: 69,000 + 2,500t

Step-by-step explanation:

2500 x 4 = 10,000

add 10,000 to 69,000

Figure 11: Find the area of this composite shape.
Find the area of this composite shape.
4 cm
8 כש
4 cm
12 cm

Answers

I did this before lemme go figure this out

The area of the composite figure is C = 80 cm²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the composite figure be C

Now , C = area of rectangle - area of square

Let the area of the rectangle be A

Now , the length of the rectangle be L = 12 cm

Let the width of the rectangle be W = 8 cm

A = 12 x 8

A = 96 cm²

Area of square = 4 x 4 = 16 cm²

So , C = 96 - 16

C = 80 cm²

Hence , the area of figure is C = 80 cm²

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Please Help ASAP I’m confused

Answers

Answer: B 89 degrees

Step-by-step explanation:

The triangle angle sum theorem states that the angles of a triangle sum to 180 degrees. Since we know two of the angle measures we can find the missing angle. 60 + 31 = 91 degrees.

180 - 91 = 89 degrees

Answer:

If i'm correct, the answer is (B) 89

Step-by-step explanation:

Hope this helps.

Laura says that you should
always divide the bigger number
by the smaller number. Do you
agree with her or disagree with her?
why?

Answers

Answer:

agree

Step-by-step explanation: you should always divide the bigger number over the smaller number. but if you don't you'd still get the same answer

i will mark you brainliest so please help help help!!!!​

Answers

Answer:

28,000

Step-by-step explanation:

Answer:

28,000

Step-by-step explanation:

if u multiply 6,827 by 4 u get 27,303  and 208, 000 is way off so is 240, 000 24,000 is off by 3,303 and 28, 000 is off by 697. so it's 28,000.

8 = –(q + –6) + 18
solve for q

Answers

Answer:

q=16

Step-by-step explanation:

math

way

.com

Answer:

q = 16

Step-by-step explanation:

(2.99548) x (1.8342)

Answers

Answer:

5.49430941

Step-by-step explanation:

Multiply together.

i hope this helps, good luck :)

5.4 is the answer to this problem

earth takes 6 seconds to travel 114 miles around the sun. How fast does the earth travel around the sun in miles per second

Answers

Answer: 19

Step-by-Step explanation:

So I am assuming that you should divide 114 divided by 6 which will leave you with the answer of 19.

Five subtracted from a number is eleven.
x-5=11
5-x=11
X+5=11
5+X = 11

Answers

Answer:

5-x=11

Step-by-step explanation:

Answer:

x - 5 = 11

Step-by-step explanation:

It's the only one where five is being subtracted from a number and the result is 11.

Which polynomial is prime?
O x2 + x + 1
O x2-x-2
O x2 - 12x + 11
O x2 + 2x -8

Answers

Answer:

x2 + x + 1

Step-by-step explanation:

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . Example 1: x2+x+1. (:

Brainiest to the RIGHT answer

Answers

Answer:

idrk

Step-by-step explanation:

Please answer number 17 with work

Answers

The answer is
B. 31, 106 and 43.
Answer:B

Step-by-step explanation:i found out that x = 103x + 1 = 3111x - 4 = 1065x - 7 = 43

Q1 - Multiplying one equation
Work these simultaneous equations out
on paper and write down your answers.
p
4p + 2q = 28
13p + 69 = 88
9 =
3s + 4t = 31
S =o
88 + 8t = 72
t =
a =
4a + 3b = 45
16a + 4b = 124
b =
5m + 6n = 61
m =
15m + 4n = 99
n =

Answers

Answer:

p = 4

q = 6

s = 5

t = 4

a = 6

b = 7

m = 5

n = 6

what is the perimeter of this building?

Answers

Answer:

115 m

Step-by-step explanation:

4 + 9 + 6 + 4 = 23 cm

23 x 5 = 115 m

155, I’m not sure if the line without a number would be counted
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