What is the domain and range of y=6?

Answers

Answer 1

Answer: The domain is "what can I make x equal to, and still get a sensible answer. In this case the equation doesnt depend on x at all so the domain is "All real numbers."

The range is "what are all the sensible values the I can get as an answer for y". In this case we are told: "Y always equals six." So the range is just "Y=6".

Some other ways to wirte the same thing:

Domain: {x|x∈R}
Range: {y|y=6}

Domain: (-∞,∞)
Range: {6}

Answer 2

Answer: The domain should be
(-∞, ∞) {y|y ∈ R}
And the range is:
{6}

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Write the equation of the line that passes through the point (-3, -1) with a slope of -2/3.

Answers

Hello,

y+1=-2/3(x+3)
or y=-2/3 x -3

Luke is keeping track of the total number of hours he exercises. He started the summer having already put in 15 hours, and he then exercises 7 hours each week. The function to keep track of his exercise is f(x) = 7x + 15. What do the f(x) and x represent in Luke's situation? (2 points)A) f(x) represents the total number of hours; x represents the number of weeks he exercises this summer
B) f(x) represents the total number of weeks that he has exercised; x represents the number of hours
C) f(x) represents the number of hours he exercises per day; x represents the number of weeks
D) f(x) represents the total number of hours that Luke has exercised; x represents the number of weeks he exercises per day

Answers

If you would like to know what do the f(x) and x represent in Luke's situation, you can find this using the following step:

f(x) = 7x + 15
7 hours each week
x ... the number of weeks
f(x) ... the total number of hours Luke exercises

The correct result would be A) f(x) represents the total number of hours; x represents the number of weeks he exercises this summer.

f(x) represents the total number of hours; x represents the number of weeks he exercises this summer.

RS= 6x-8UV= 4x+2

write and solve an equation to find the value of x (show work)

What is the length of RS

What is the length of UV

Answers

Answer:

The length of RS is 22

The length of UV is 22

Step-by-step explanation:

6x-8. ---------- equation (i)

4x+2 ------------ equation (ii)

Now,

equating equation i and ii, we get

6x-8 = 4x+2

or, 6x-4x = 2+8

or, 2x = 10

or, x = 10/2

.°. x = 5

Then,

length of RS = 6x-8

= 6×5-8

= 30-8

= 22

Again

length of UV = 4x+2

= 4×5+2

= 20+2

= 22

Final answer:

The value of x is 5. The length of both RS and UV is 22.

Explanation:

In mathematics, when two lines or segments are said to be equal, it means you can set your two given equations equal to each other. In this case, you can equate RS to UV, which would give you the equation 6x - 8 = 4x + 2. To solve for x, you would start by moving the 4x from the right side of the equation over to the left by subtraction to get 2x - 8 = 2. Next, to isolate x, you would move the 8 over to the right side of the equation using addition, so the equation becomes 2x = 10. Finally, divide each side by 2 to get x = 5. To find the lengths of RS and UV, substitute x = 5 into the original equations, yielding RS = 6*5 - 8 = 22 and UV = 4*5 + 2 = 22.

Learn more about solving equations here:

brainly.com/question/14410653

#SPJ3

What is the value of sin67.5? use half angle formula

Answers

The solution wouldbe like this for this specific problem:

sin(67.5) = sin(135/2)
sin(x/2) = +/- √((1 - cos(x))/√2
sin(67.5) = √(1 - cos(135))/√2 = √(1 + √2/2)/√2 = √(√2/4 + 1/2) = 0.9239

I am hoping thatthis answer has satisfied your query and it will be able to help you in yourendeavor, and if you would like, feel free to ask another question.

2. Given the following functions f(x) and g(x), solve (f + g)(5) and select the correct answer below:f(x) = 8x − 13

g(x) = x − 9

23
27
31
40

Answers

I chose this answer which is
A.) 23

Answer:

The answer is 23.

Step-by-step explanation:

First you insert 5 into the X place in both equations.

f(5)=8(5) - 13 and g(5)=5 - 9

Then you would solve as you normally would.

F(5)=40 - 13, F(5)=27.

G(5)=-4

Then you add them together because that is what the question is asking when the say (f+g).

Your final answer is 23.

Given the linear equation 4y = 8x - 3, find the y-intercept

Answers

yintercept is where the line crosses the y axis and where x=0
set x=0
4t=8(0)-3
4y=-3
divide by 4
y=-3/4

the yintercept is at y=-3/4 or at point (0,-3/4)

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