Find the range of f(x) = –x + 4 for the domain {–3, –2, –1, 1}.

Answers

Answer 1

Answer:

[tex]\boxed{ \{7, 6, 5, 3 \} }[/tex]

Step-by-step explanation:

The domain is all possible values for x.

The range is all possible values for f(x) or y.

The domain given is {-3, -2, -1, 1}.

Plug x as {-3, -2, -1, 1} and find the f(x) or y values.

[tex]f(-3)=-(-3)+4=7\\f(-2)=-(-2)+4=6\\f(-1)=-(-1)+4=5\\f(1)=-(1)+4=3[/tex]

The range is {7, 6, 5, 3}, when the domain is {-3, -2, -1, 1}.


Related Questions

am thinking of a number multiplying it by 4 then subtracting 6 the answer is greater than 14. Write the inequality

Answers

Answer:

4x - 6 > 14

Step-by-step explanation:

4x - 6 > 14

4x = 20

x = 5

A circle has a radius of \sqrt{45} 45 ​ square root of, 45, end square root units and is centered at (-2.4,-4.8)(−2.4,−4.8)left parenthesis, minus, 2, point, 4, comma, minus, 4, point, 8, right parenthesis.

What is the equation of this circle?

Answers

Answer:

(x + 2.4)² + (y + 4.8)² = 45

Step-by-step explanation:

Circle equation:

(x - h)² + (y - k)² = r², where (h, k) is the center, r - radius

Substitute the values to get the equation:

(x - (- 2.4))² + (y - (-4.8))² = (√45)²(x + 2.4)² + (y + 4.8)² = 45

Answer:

(x+2.4)^2 + (y+4.8)^2 =45

Step-by-step explanation:

expand (x-4)^4 with binomial theorem or pascal's triangle

Answers

Answer:

(x-4)^4=x⁴+4x³(-4)¹+6x²(-4)²+4x¹(-4)³+(-4)⁴

=x⁴-16x³+96x²-256x+256

A weather balloon holds 2,600 cubic meters of helium. The density of helium is 0.1755 kilograms per cubic meter. How many kilograms of helium does the balloon contain?

Answers

Answer:

The balloon contains 456.3 kg of helium

Step-by-step explanation:

Density=mass / volume

Volume=2600 cubic meters of helium

Density=0.1755 kilograms per cubic meters

Mass=x

Find mass, x

Density=mass / volume

Mass=Density × volume

=0.1755 * 2600

=456.3 kg

The balloon contains 456.3 kg of helium

[tex]x^{2} +5x+3[/tex]+2x^{2}+10x-15=0

Answers

x²+5x+3+2x²+10x15 =0x²+2x²+5x+10x+3+15=03x²+15x+18=03(x²+5x+6) =0 because 3 is common factor3(x²+3x+2x+6) spill the middle term3(x(x+3)+2(x+3) take the common factor from term3(x+2) (x+3)

answer is 3(x+2) (x+3)

please mark this answer as brainlist

are you allowed to simplify a fractional exponent when you are rewriting radicals to have a radical exponent? for example, [tex]\sqrt[8]{y^{2} }[/tex] is written as y^2/8 , but are you allowed to simplify the 2/8 to 1/4?

Answers

Answer:

This is true

Step-by-step explanation:

Yes when you make a radical into a power you can simplify the power, like you are saying.

E
What is the value of x in the equation 3x.. by y 18, when y27

Answers

Answer:

x = 15

Step-by-step explanation:

We need to find the value of x in the equation 3x – y = 18 when y = 27.

To find the value of x, put y = 27 in the above equation.

So,

3x - 27 = 18

3x = 45

x = 15

So, the value of x is 15.

What is the measure of angle X?

Answers

Answer: 71 degrees

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

Explanation:

Focus on triangle BDH

Interior angles B and D are given to be 40 and 31 respectively. Interior angle H is unknown

For any triangle, the interior angles always add to 180

B+D+H = 180

40+31+H = 180

H+71 = 180

H = 180-71

H = 109

Interior angle H is 109 degrees for triangle BDH

The exterior angle is 180 minus this measure

exterior angle = 180 - (interior angle)

exterior angle = 180 - 109

exterior angle = 71

Note how this is the sum of interior angles B and D, so you could use the remote interior angle theorem here.

Dylan is driving to a concert and needs to pay for parking. There is an automatic fee
of $5 just to enter the parking lot, and when he leaves the lot, he will have to pay an
additional s2 for every hour he had his car in the lot. How much total money would
Dylan have to pay for parking if he left his car in the lot for 6 hours? How much
would Dylan have to pay if he left his car in the lot for t hours?

Answers

Answer:

17

Step-by-step explanation:

6 x 2 = 12 so 12 + 5 = 17

Dylan would have to pay $17.

Dylan would have to pay $17 if he left his car for 6 hours. Dylan would pay 5 + 2t if he left his car for t hours.

For such questions it is best to form an expression.

The parking fee has a fixed cost of $5.

It also has a cost per hour of $2.

This means that if a person spends t hours at the parking lot, they will have to pay $2 per hour for those t hours.

Expression = 2 x t = 2t

Whole expression including the fixed amount is:

5 + 2t

If Dylan parked for 6 hours therefore, he would pay:

= 5 + 2 t

= 5 + 2 x 6

= $17

Dylan would therefore have to pay $17 if he left his car for 6 hours.

Find out more at https://brainly.com/question/21294839.

When you subtract two positive integers is the result always a positive integer

Answers

Sai vì số Nguyên dương nhỏ trừ số nguyên dương lớn bằng số nguyên âm

Create a triangle of your choice on the grid. Measure the lengths of all the sides on the triangle and record them in the table.

Answers

Step-by-step explanation:

The program I used tells me the lengths, though I could use the law of cosines or Pythagoras's Therom for this.

AB: 2

BC: 3

AC: About 3.61

Also, point A is (-2, 4), point B is (-2, 2), and point C is (1, 2)

Hope this helps!

The formula for the area of a square is sº, where s is the side length of the square. What is
area of a square with a side length of 6 centimeters? Do not include units in your answer.

Answers

36

Just multiply the side lengths together to find area

Answer:

36

Step-by-step explanation:

The formula for the area of a square is s², where s is the side length of the square.

If a square with a side length of 6 centimeters then we get,

S = 6

Now, Area of square

= s² = (6)² = 36

Solve for x: 2x+1= -3x+36

Answers

Answer:

x = 7

Step-by-step explanation:

2x + 1 = -3x + 36

2x + 3x + 1 = -3x + 3x +36

5x + 1 = 36

5x + 1 - 1 = 36 - 1

5x = 35

5x/5 = 35/5

x = 7

Answer:

first you would add 3x to -3x and 2x, then you would get 5x+1=36. Then you subtract 1 from 1 and 36. Then you get 5x=35. Then you divide by 5 to get the answer 7. so your answer is x=7

Step-by-step explanation:

hope this helps

PLEASE ANSWER QUICKLY ASAP ​

Answers

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope / gradient

c is the y intercept

a).

y = 3x + 7

Comparing this equation with the general form above

Gradient of the line = 3

b).

2y - 6x = 8

Divide both sides by 2

We have

y - 3x = 8

To make y the subject move 3x to the right side of the equation

That's

y = 3x + 8

Comparing with the general form above that's y = mx + c

The gradient = 3

c).

y = 3x + 7

A(2 , y ) , B( x , 4)

Since they lie on the line we can substitute their values into the equation to find the missing points

For A(2 ,y)

We have

y = 3(2) + 7

y = 6 + 7

y = 13

For B( x , 4)

4 = 3x + 7

3x = 4 - 7

3x = - 3

Divide both sides by 3

x = - 1

Hope this helps you

Find the distance of (2,5) and (-1,3)

Answers

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Use the distance formula:

[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Insert the values:

[tex](2_{x1},5_{y1})\\\\(-1_{x1},3_{y2})\\\\\\sqrt{(-1-2)^2+(3-5)^2}[/tex]

Simplify:

[tex]\sqrt{(-1-2)^2+(3-5)^2}\\\\ \sqrt{(-3)^2+(-2)^2}\\\\ \sqrt{9+4}\\\\\sqrt{13}[/tex]

The distance between the two points is the square root of 13.

:Done

Answer: [tex]\sqrt{13}[/tex] or 3.61

Step-by-step explanation:

[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\sqrt{\left(-1-2\right)^2+\left(3-5\right)^2}[/tex]

[tex]\sqrt{9+4}[/tex]

[tex]=\sqrt{13}[/tex]

A baby weighs 100 ounces. Find the baby's weight in pounds and ounces.​

Answers

Answer: 6 pounds, 4 ounces

Work Shown:

1 pound = 16 ounces

100/16 = 6.25

100 ounces = 6.25 pounds

100 ounces = 6 pounds + 0.25 pounds

-------

1 pound = 16 ounces

0.25*1 pound = 0.25*16 ounces

0.25 pounds = 4 ounces

------

100 ounces = 6 pounds + 0.25 pounds

100 ounces = 6 pounds + 4 ounces

100 ounces = 6 pounds, 4 ounces

Solve the equation for X (If possible please show work)

Answers

Answer:

the correct answer is x=5

solve for r 5(r-10)= -51

Answers

Answer:

r= -1/5

Step-by-step explanation:

Step 1: Remove the parentheses (5r-10= -51)

Step 2: Move the constant to the right-hand side and change the sign (5r= -51 + 50)

Step 3: Calculate the sum of -51 +50 (5r = -1)

Last Step: Divide both sides by the equation by 5 (r = -1/5)

The solution for r in the equation is -1/5

The equation given is 5(r-10)= -51

To solve this question, use the distributive property. The distribute property entails expanding the terms in the bracket. This means multiply the terms in the bracket by 5

5(r - 10)

= 5 x (r - 10)

= 5r - 50

The equation then becomes : 5r - 50 = -51

The second step is to combine similar terms. This would be done by making use of the additive property of equalities: 50 would be added to both sides of the equation

5r = -51 + 50

5r = -1

The third step is to divide both sides of the equation by 5

(5r / 5) = (-1 /5)

r = -1/5

A similar question was solved here : https://brainly.com/question/17224218

Determine the intercepts of the line.

Y-intercept: (_,_)
X-Intercept: (_,_)

Answers

Y-intercept:(0,-45)
X-intercept:(-10,0)

Two-Step Column Proofs.

Answers

Answer:

See below.

Step-by-step explanation:

1. m∠4 + m∠6 = 180

Reason: m∠4 = 120 & m∠6 = 60. 120 + 60 = 180

2. m∠4 + m∠5 = 180

Reason: m∠4 = 120 & m∠5 = 60. 120 + 60 = 180

3. m∠4 + m∠5 = 180 = m∠4 + m∠6

Reason: m∠4 = 120. m∠5 & m∠6 = 60. 120 + 60 = 180

4. m∠4 = m∠4

Reason: 120 = 120. No difference between
•••••••••••••••••••••••••••••••••••••••••••••••••••
m∠5 = m∠6

Reason: the type of triangle that we’re looking at is a equilateral triangle meaning all angle measures measure the exact same thing. If one measure measures 60, the other measure measures 60.

m∠4 + m∠6 = 180

Reason: m∠4 = 120 & m∠6 = 60. 120 + 60 = 180

What is the surface area of the rectangular prism below?

A. 736 units2

B. 812 units2

C. 706 units2

D. 824 units2

Answers

Answer:it’s A

Step-by-step explanation:

took the test

Can you just answer this question quickly please what is the answer to 420 12 it is multiplication. thanks

Answers

Answer:

the answer to 420 times 12 is 5,040

Step-by-step explanation:

Answer: The answer would be 5040.

Step-by-step explanation:

Someone help asapppp

Answers

Answer:

1

Step-by-step explanation:

Answer:

1/ a

Step-by-step explanation:

go to desmos graphing calculator :) yea

////

2. What is the area of rhombusABCD? (Assume the diagonals of rhombus ABCD are equal).

Answers

Answer:

A=pq/2

=4.25·4.25/2

=9.03125

Step-by-step explanation:

If you like my answer than please mark me brainliest

Answer:

Step-by-step explanation:

Diagonal of rhombus bisect each other.

d₁ = AC = 4.25*2 = 8.5 cm

d₂ = 8.5  {Given diagonals are equal}

Area of rhombus = [tex]\frac{d_{1}*d_{2}}{2} \ where \ d_{1} \ and \ d_{2} \ are \ diagonals[/tex]

                            [tex]=\frac{8.5*8.5}{2}\\\\= \frac{72.25}{2}\\\\= 36.125 \ cm^{2}[/tex]

What is the Answer to: 120 Times 2/3

Answers

Answer:

80

Step-by-step explanation:

You could multiply by 2 and then divide by 3

120*2 = 240

240/3 = 80

Or you could divide by 3 and then multiply by 2

120/3 = 40

40*2 = 80

Answer:

80

Step-by-step explanation:

120 × 2/3= 120/1 × 2/3= 240/3= 80

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

A teacher orders 20 copies of a new graphic novel for his class to read. Each of the books weighs the same amount. The total weight of all the books is 10 pounds, What is the weight of 1 book?

Answers

Answer:

Each book weighs 1/2 lbs

Step-by-step explanation:

Take the total weight and divide by the number of books

10 lbs/20 books

1/2 lbs per book

Each book weighs 1/2 lbs

help me please!!!!!!!!

Answers

Answer:

BC = 29.4

Step-by-step explanation:

30² = 20² + BC² -2•20•BC•cos(108)

900 = 400 +BC² -12.4•BC

900 -400 = BC² -12.4•BC

BC² -12.4•BC -500 = 0

Solve the equation using Bhaskara and you'll find two possible values for BC, which are:

BC = -17 and BC = 29.4

A negative number doesn't make sense because it is a side of a triangle, so we choose BC = 29.4

integers
[tex]18 \div ( - 9) = [/tex]
[tex] - 10 \div 2 = [/tex]
[tex] - 2 + ( - 6) = [/tex]
[tex] - 8 - 4 = [/tex]
[tex]( - 2 \times - 12) \div (18 \div - 9 = [/tex]
[tex](120 - 30) \div ( - 42 - 3) = [/tex]
[tex]1000 \div (125 \times - 2) = [/tex]
[tex](5 - 30) \div ( 8 - 3) = [/tex]
[tex]12 \div (4 - 8) = [/tex]


Answers

(1) 18÷(-9)= -2(2) -10÷2= -5(3) -2+(-6)= -2-6= -8(4) -8-4= -12(5) (-2×-12)÷(18÷9)= 24÷2= 12(6) (120-30)÷(-42-3)= 90÷(-45)= -2(7) 1000÷(125×-2)=1000÷(-250)= -4(8) (5-30)÷(8-3)= -25÷5= -5(9) 12÷(4-8)=12÷(-4)= -3

please mark this answer as brainlist

in june , john withdrew 1/5 of the money in his savings account. in july he withdrew 1/3 of what remained. in august, he withdrew 1/4 of the remaining balance.if he made no other transactions and ended up with $480 in her account, what did he start with?

Answers

Answer

28,800$

Step-by-step explanation:

480 x 4 = 1920 x 3 = 5760 x 5 = 28800

PLEASE HELP ASAP :))


Sophie tried to evaluate an expression. Here is her work:
92 : 32.2 + 7.6
= 81 - 9.2 + 7.6
Step 1
= 9.2 + 7.6
Step 2
= 18 + 7.6
Step 3
= 25.7
Step 4
= 175
Step 5
Is Sophie's work correct?
Yes, Sophie's work is correct
No, Sophie made a mistake going from Step 1 to Step 2
O No, Sophie made a mistake going from Step 3 to Step 4.
No, Sophie made a mistake going from Step 2 to Step 3

Answers

No, Sophie made a mistake going from Step 3 to Step 4.

Explanation:
Using PEMDAS, or the order of operations, Sophie should have finished multiplying before adding. Here’s how her expression should’ve ended:

= 18 + 7 • 6
= 18 + 42
= 60
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