Range for the equation 2y=8-4x if the domain is (-2,-1,0,2,5)

Answers

Answer 1

[tex]2y=8-4x\ \ \ |divide\ both\ sides\ by\ 2\\\\y=4-2x[/tex]
Put numbers from {-2; -1; 0; 2; 5} to the equation instead of x:
[tex]x=-2\to y=4-2\cdot(-2)=4+4=8\\\\x=-1\to y=4-2\cdot(-1)=4+2=6\\\\x=0\to y=4-2\cdot0=4\\\\x=1\to y=4-2\cdot1=4-2=2\\\\x=2\to y=4-2\cdot2=4-4=0[/tex]
We have the range: {0; 2; 4; 6; 8}.

Related Questions

Your brother and sister took turns driving on a 580 mile trip that took 10 hours to complete. your brother drove at a constant speed of 55 miles per hour and your sister drove at a constant speed of 60 miles per hour. how long did each person drive.

Answers

let the time the boy drove be x and that the girl drove be y:
x+y=10
thus
x=10-y........i

distance=speed*time
the distance each one drove will be:
55x+60y=580....ii
substituting i in ii we get:
55(10-y)+60y=580
550-55y+60y=580
5y=30
y=6 hours
thus
x=10-6=4 hours
hence the boy drove for 4 hours and the girl for 4 hours

Using a system of equations, it is found that the brother drove for 4 hours and the sister drove for 6 hours on their 580-mile, 10-hour trip.

To solve this problem, let's assign variables to the unknown quantities. Let x be the number of hours your brother drove and y be the number of hours your sister drove. We know they drove for a combined total of 10 hours and covered 580 miles together. This gives us two equations:

Equation 1 (Total Time): x + y = 10Equation 2 (Total Distance): 55x + 60y = 580

Since there are two equations with two unknowns, we can solve for x and y by using substitution or elimination method. Let's use the substitution method:

Solve Equation 1 for y: y = 10 - xSubstitute y into Equation 2: 55x + 60(10 - x) = 580Simplify and solve for x: 55x + 600 - 60x = 580, which gives us -5x = -20, so x = 4.Now substitute x back into Equation 1 to find y: y = 10 - 4, so y = 6.

Therefore, your brother drove for 4 hours, and your sister drove for 6 hours.

A gazebo is located in the center of a large circular lawn with a diameter of 300 feet. straight paths extend from the gazebo to a sidewalk around the lawn. if two of the paths form a 45 angle, how far would you have to travel around the sidewalk to get from one path to the other? Round your answer to the nearest foot

Answers

1.To solve this problem you must apply the formula for calculate the arc length, which is:
arc length=2πr(central angle/360)
r=300 feet/2
r=150 feet
central angle=45°
2. When you substitute the values, you obtain
arclength=118 feet
The answer is: 118 feet

Answer: 118

Step-by-step explanation:

1.To solve this problem you must apply the formula for calculate the arc length, which is:

arc length=2πr(central angle/360)

r=300 feet/2

r=150 feet

central angle=45°

2. When you substitute the values, you obtain

arclength=118

The volumes of two spheres are in a ratio of 1:8. what is the ratio of their radii?

Answers

we know that

volume of a sphere=(4/3)*pi*r³

let
A-----> smaller sphere
B-----> larger sphere

VA=(4/3)*pi*rA³
VB=(4/3)*pi*rB³
VA/VB=1/8--------> (1/8)=[(4/3)*pi*rA³]/[(4/3)*pi*rB³]

(1/8)=[rA³]/[rB³]-----> (1/8)=[rA/rB]³-----> rA/rB=∛(1/8)----> rA/rB=1/2

the answer is
the ratio of their radii is (1/2)

Evaluate the following in polar and standard forms. Select all answers that apply. [3(cos(27°) isin(27°))]^5

Answers

Using De Moivre's formula

if z = a ( cos x + i sin x ) ⇒⇒⇒ ∴ z^n = a^n ( cos nx + i sin nx)

Part (1)
∴ [ 3 (cos 27° + i sin 27°) ]⁵ = (3⁵) ( cos 5*27° + i sin 5*27°)
= 243 ( cos 135° + i sin 135°) ⇒⇒⇒⇒ Polar form
=================================
Part (2)

The angle 135° in the second quadrant ⇒ sin is (+) and cos is (-)
and its reference angle = 180° - 135° = 45°
sin 45° = cos 45°= 1/√2 = (√2)/2
∴ sin 135° = (√2)/2    and cos 135° = -(√2)/2
∴ 243 ( cos 135° + i sin 135°) = 243 [ -(√2)/2 + i (√2)/2 ]

= - 243(√2)/2 + 243 (√2)/2 i ⇒⇒⇒⇒ standard form
===========================================
The correct answers are options (1) and (3)

option (1) ⇒⇒⇒ 243 ( cos 135° + i sin 135°) ⇒⇒⇒⇒ Polar form
option (3) ⇒⇒⇒ - 243(√2)/2 + 243 (√2)/2 i     ⇒⇒⇒⇒ standard form

Suppose that a small town has seven burger shops whose respective shares of the local hamburger market are (as percent- ages of all hamburgers sold): 23 percent, 22 percent, 18 percent, 12 percent, 11 percent, 8 percent, and 6 percent. what is the four-firm concentration ratio of the hamburger industry in this town

Answers

SADNADDDDDDDDDDDDDSLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLDNNNNNNNNNNNNNNNNNNNNNNNNNNNNEL

Richard can read 1/4 of a book in 3/5 of an hour. At this rate, how much can Richard read in one hour

Answers

3/5 hour ⇒ 1/4 of the book

Find 1/5 hour:
1/5 hour ⇒ 1/4 ÷ 3 = 1/4 x 1/3 = 1/12 of the book

Find 5/5 (1 hour):
5/5 hour ⇒ 1/12 x 5 = 5/12 of the book

Answer: 5/12 of the book

0.6704 repeating as a fraction?

Answers

Suppose [tex]x=0.67046704\ldots[/tex].

Then [tex]10^4x=6704.67046704\ldots[/tex], and we have

[tex]10^4x-x=9999x=6704[/tex]

which means

[tex]x=\dfrac{6704}{9999}[/tex]

1.
A. 3.75
B. 1.5
C. 3
D. 4.5

2.
A. 30
B. 16
C. 8
D. 15

Answers

b: 3.75 since it is half of the segment that measures 7.5, this is proven because the line in the middle is a bisector of the top and bottom line indication that both half measure the same; 3.75

2) 15 not sure why

A pet store has two tanks of tropical fish. The first tank contains 7 blue fish and 3 yellow fish and the second tank contains 10 blue fish and 8 yellow fish. If Keisha randomly purchases a fish from each tank, what is the probability that both fish will be blue? A. 1/70 B. 17/180 C. 7/18 D. 17/28

Answers

In the first tank we have 7 blue fish and 3 yellow fish, so total number of fishes in tank 1 = 10

The probability of picking a blue fish in tank 1 = number of blue fishes/ total number of fishes = 7/10

The second tank has 10 blue fish and 8 yellow fish, so the total number of fishes in tank 2 = 18

The probability of picking a blue fish in tank 2 = number of blue fishes/ total number of fishes = 10/18

The probability that both fish will be blue = 7/10 * 10/18 = 70/180 = 7/18 (Option C)

98 POINTS PLEASE HELP
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Determine the standard form of the equation for the circle

With center (h,k)=(-5,1/2) and radius r=1

A) (x-5)^2 + (y + 1/2)^2 = 1

B) (x-5) + (y - 1/2) = 1

C) (x+5)^2 + (y - 1/2)^2 = 1

D) (x+5)^5 + (y- 1/2)^2 = 105/2

Answers

The standard form of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex]. We will fill in our h, k and r accordingly. [tex](x-(-5))^2+(y- \frac{1}{2})^2=1^2 [/tex] which simplifies down to [tex](x+5)^2+(y- \frac{1}{2})^2=1 [/tex] choice C. There you go!

Hello!

I believe the answer is C) (x+5)^2 + (y - 1/2)^2 = 1.

I hope it helps!

Two campers leave their campsite at point A to go on a hike. Camper one heads east for 2 miles, then heads north 1 mile to point B. Camper two heads north for 4 miles, then east for 3 miles to point C. Referencing the triangle formed by A, B, and C, m
A.
27°
B.
36°
C.
45°
D.
53°

Answers

Answer:

its not C. It's A. 27

I just did it with my math teacher

What is the value of r?

Answers

good day ^-^ ///////////////

Answer:R = 4

Step-by-step explanation:

what is the value of this expression 3*[(7+8)*2+6] A.64 B.87 C.96 D.108

Answers

D. 108
thats the answer

[tex]3((7+8)*2+6)[/tex]
[tex]=3*36[/tex]
[tex]=108[/tex]
Hope this helps :)

. Convert 5π/3 to degrees

Answers

[tex] \pi [/tex] radians is equal to 180 degrees.

Convert [tex] \pi [/tex] to 180 to get the following fraction:

[tex] \frac{5 * 180}{3} [/tex]

Multiply 5 and 180 together to get the following fraction:

[tex] \frac{900}{3} [/tex]

Simplify the fraction.

[tex] \frac{900}{3} [/tex] = 300

The answer is 300 degrees.

π radians = 180 degrees

so 5π / 3 radians = 180 / π * 5 π / 3 = 900 / 3 = 300 degrees Answer

Leah pays $40 a month for cable TV, plus $4 for each movie she orders on pay-per-view. Which equation gives Leah’s total monthly cable bill as a function of the number of pay-per-view movies m that she orders?

Answers

m = movies
b = bill

b = 4m + 40

I hope this helps

An equation which gives Leah’s total monthly cable bill is b=4m+40.

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 =.

Given that, Leah pays $40 a month for cable TV, plus $4 for each movie she orders on pay-per-view.

Let the number of pay-per-view movies she orders be m and the total monthly cable bill be b.

Now, b=4m+40

Therefore, an equation which gives Leah’s total monthly cable bill is b=4m+40.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ5

What is the length of AB?

Answers

The radius of the circle is given to be r = 14.5

Let the center be O. So OB is the radius = 14.5

We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.

So, we can write:

[tex](14.5)^{2}=10^{2}+OA^{2} \\ \\ OA^{2}=110.25 \\ \\ OA=10.5 [/tex]

Thus, the measure of OA = 10.5

OB = OA + AB

14.5 = 10.5 + AB
⇒
AB = 4

r = 14.5

form a right triangle with the 10 as 1st side and r as the hypotenuse.
get the length of the other side using pythagorean.

c = sqrt(14.5^2 - 10^2) = 10.5

The length from the center to point A = c = 10.5
AB = r - c = 14.5 - 10.5 = 4

length AB = 4

what does –x2 – 6x – 8 look like on a graph
The 2 is a power

Answers

Does this answer your question?

The equation -x^2 - 6x - 8 looks like this when graphed.

I hope this helps!

Jenna uses 18 inches if ribbon for each box she wraps how many yds of ribbon does she need to wrap 4 boxes

Answers

She needs 2 yards of ribbon to wrap 4 boxes.

if she uses 18 inches for each box then for 4 boxes she will use 18+18+18+18 or 18×4=72 inches.
since 1 yard is 36 inches she will need 72/36=2 yards.

if you like my answer please rate as brainliest! thx

Question 2 (Matching Worth 4 points)

Match the sequence (term) with the correct type of sequence (definition).

Match Term Definition

128, 32, 8, 2, … A) Geometric, common ratio is 0.25

1, 3, 9, 27, … B) Geometric, common ratio is 3

5, 10, 15, 20, … C) Arithmetic, common difference is −3

20, 17, 14, 11, … D) Arithmetic, common difference is 5

Answers

Switch c, and d.
Which makes it so that the common difference between 5, 10, 15, 20 is 5.
Then the difference between 20, 17, 14, 11 ... is -3.
Other than that your correct

Mr bartley is taking the theater club on a field trip he wrote the the folowing function for the school treasure 52(25+2)

Answers

The answer would be 1,404

Answer:

The answer is 1,404

Step-by-step explanation:

To do this operation, you should be aware of the order of operations. PEMDAS is a good way to remember the order of operations:

1. Parenthesis

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Substraction

Therefore, the first thing we have to do is the parenthesis.

(25+2) = 27

And now, we can do the multiplication

52*27 = 1,404.

Does anyone know how to find x?

Answers

Hello!

We can solve this using trigonometric functions. We will be referring to the 70 degree angle. We need to solve for the hypotenuse. We have the length of the opposite side and need to find the hypotenuse. Therefore, we use the sine.

sin70=12/x

Since we cannot immediately solve for x, we will simplify this equation. We multiply both sides by x.

x(sin70)=12

Divide both sides by sin70.

x=12/sin70

Now we solve this equation.

12/sin70≈15.51

Therefore, x=15.51 cm.

I hope this helps!

x=15.51cm

70+90+x=180

What are angle a and the 60-degree angle to one another?

Answers

The answer to this is vertical angles i just got finished taking it

The angle of elevation from a boat to the top of a lighthouse is 22°. The lighthouse is 32 meters tall.

What is the distance from the boat to the base of the lighthouse?

Enter your answer as a decimal. Round only your final answer to the nearest tenth.

Answers

look at this like a right triangle with a height of 32 M and the angle at the base of 22 degrees
The distance from the boat to the lighthouse would be the base of the triangle

to find the base given the height and angle given the formula is

x = height / tan(angle)

x = 32 / tan(22)

x = 79.2 Meters

Hi, I don't feel very confident about my work in this calculus problem and I would appreciate it if anyone else could note any corrections or ways to improve my answers. My problem is split into parts A, B, C, and D and my work is in green. Thank you!

Answers

You're pretty close. It's all in the details.

A. Correct.

B. Correct.

C. Sign error in the boxed answer. -(-0.5) = 0.5
The graph shows c ≈ 1.855. If a is more than that and decreasing, area is increasing. The sign of dA/dt will be positive. (Compare to D)

D. Units are not shown. Numerical value is correct.

Six years ago annabelle was twice as old as jason was. now, annabelle is four years older than jason. how old is jason now?

Answers

The present age of Jason is given as 10 years.

How to solve a linear equation?

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The given problem can be solved as follows,

Suppose the age of Jason 6 years ago was x.

Then, the age of Annabelle 6 years ago was 2x.

Their present ages are x + 6 and 2x + 6 years respectively.

As per the question, the following equation can be formed as follows,

2x + 6 = x + 6 + 4

=> 2x - x = 10 - 6

=> x = 4

Thus the present age of Jason is 4 + 6 = 10 years.

Hence, the age of Jason now is 10 years.

To know more about linear equation click on,

https://brainly.com/question/11897796

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Please Help! 16 points!

The equation 1.6x − 2.2 = 1.4x can be transformed to form which of the following expressions?

Select one:

a. 3.0x = 2.2

b. 0.2x = −2.2

c. 3.0x = −2.2

d. 0.2x = 2.2

Answers

The answer is D, 0.2x = -2.2

You must simplify the equation using SADMEP, the reverse order of operations in which subtraction is the first step. Your goal is to isolate the variable.

First, subtract 1.6 from each side:

1.6x - 2.2 = 1.4x
-1.6x -1.6x
------ --------

This will get you to 0x - 2.2 = -0.2x, or -2.2 = -0.2x

This is equivalent to 2.2 = 0.2x

So, the equation can be simplified to 0.2x = 2.2

Hope this helps, let me know if you need anything else! :)

Answer:

Step-by-step explanation:

pls help with this pre-calc question on vectors!!

Answers

The answer is the option C, which is:

C. √29

The explanation of this exercise is:

To solve this problem you must apply the proccedure shown below:

1- You have that:

W (-2,8,-3) and X(1,4,-1)

2- Therefore, you can calculate the magnitude as below:

|WX|=√[(1-(-2)]²+(4-8)²+[(-1-(-3)]²)
|WX|=√29

Anyone know the answer?

Answers

the answer is c because k and m are the same so l and n are also the same

Using differentiation from first principles, prove that the gradient of the line y=mx + c is m

Answers

[tex] \frac{dy}{dx} = m[/tex]
because when you differentiate, only the constant of the x remains (which is m in this case), and c being another constant independent of x, is 0 when differentiated. hence, since dy/dx is the gradient of the line, m is therefore the gradient

Find the volume of the square pyramid to the nearest cubic unit. edge 10 ft; height 11 ft 1,467 ft3 1,100 ft3 550 ft3 367 ft3

Answers

we know that
[volume of square pyramid]=(1/3)*b²*h
where
b is the length side of the square base-----> 10 ft
h is the height-----> 11 ft
[volume of square pyramid]=(1/3)*10²*11----> 366.67 ft³-----> 367 ft³

the answer is
367 ft³

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