Answer:
The range of f(x) is:
[tex]y\in\{-1,0,1\}[/tex]
Step-by-step explanation:
Domain and Range
Given a function y=f(x), the domain of f(x) is the set of values that x can take and the range of f(x) is the set of values that f gets when x is in the domain.
We have the function:
[tex]\displaystyle f(x) = \frac{1}{2} x-2[/tex]
And the domain is
[tex]x\in\{2,4,6\}[/tex]
Compute the range by assigning each value of x:
For x=2:
[tex]\displaystyle f(2) = \frac{1}{2} \cdot 2-2=1-2=-1[/tex]
[tex]\displaystyle f(2) = -1[/tex]
For x=4:
[tex]\displaystyle f(4) = \frac{1}{2} \cdot 4-2=2-2=0[/tex]
[tex]\displaystyle f(4) = 0[/tex]
For x=6:
[tex]\displaystyle f(6) = \frac{1}{2} \cdot 6-2=3-2=1[/tex]
[tex]\displaystyle f(6) = 1[/tex]
The range of f(x) is:
[tex]y\in\{-1,0,1\}[/tex]
Answer ASAP!!! First correct answer gets brainliest
Step-by-step explanation:
Given problem;
Write the equation of the line with the given slope and y-intercept
The equation of a line is expressed as;
y = mx + b;
m is the slope and b is the y-intercept
7. m = -5, b = -6
y = mx + b
Input the parameters:
y = -5x -6
8. m = 1, b = -4
y = mx + b
Input the parameters:
y = x - 4
9. m = 0.4, b = -9
y = mx + b
Input the parameters:
y = 0.4x - 9
10. m = 0, b = 3
y = mx + b
Input the parameters:
y = 3
As an estimation we are told 5 miles is 8 km.
Convert 27.5 miles to km.
Answer:
44 km
Step-by-step explanation:
8/5 is the conversion between m and km which is 1.6 and then we can simply multiply 27.5 times 1.6 which is 44 km I hope this helps.
Identify the slope and y-intercept of the line. Then write the equation in slope form.
A line segment is defined by which of the following statements?
The statement that defines what a line segment is would be: B. All points between two given endpoints including the endpoints.
A line segment, in geometry, is defined as a line or part of a line having two endpoints.
A diagram showing a line segment with two distinct endpoints have been shown in the attachment below.
A line segment can also contain points between the two endpoints on the line.
Therefore, the statement that defines what a line segment is would be: B. All points between two given endpoints including the endpoints.
Learn more here:
https://brainly.com/question/24270297
Write the equation for this situation, then give the x-intercept, y-intercept, and slope. A person is wanting to burn 500 calories a day through excercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running. ALSO - explain what the x and y-intercepts mean in this situation. Your answer:
Answer:
[tex]x[/tex]-intercept is [tex](68.5,0)[/tex]
[tex]y[/tex]-intercept is [tex](0,44.2)[/tex]
Step-by-step explanation:
Let [tex]x[/tex] denotes time denoted (in minutes) by a person in jogging.
Let [tex]y[/tex] denotes time denoted (in minutes) by a person in running.
A person is wanting to burn 500 calories a day through exercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running.
So, equation becomes [tex]7.3x+11.3y=500[/tex]
For [tex]x[/tex]-intercept, put [tex]y=0[/tex]
[tex]7.3x+11.3(0)=500\\7.3x=500\\x=68.5[/tex]
So, [tex]x[/tex]-intercept is [tex](68.5,0)[/tex]
For [tex]y[/tex]-intercept, put [tex]x=0[/tex]
[tex]7.3(0)+11.3y=500\\11.3y=500\\y=44.2[/tex]
So, [tex]y[/tex]-intercept is [tex](0,44.2)[/tex]
Differentiate equation [tex]7.3x+11.3y=500[/tex] with respect to [tex]x[/tex]
[tex]7.3+11.3y'=0\\y'=\frac{-7.3}{11.3}\\ y'=-0.65[/tex]
[tex]x-[/tex]intercept means that a person spends 68.5 minutes in jogging and no time in running.
[tex]y-[/tex]intercept means that a person spends 44.2 minutes in running and no time in jogging.
The entire length of the Appalachian Trail is 2,160 miles. How long would it take you to hike the full length of the trail?
Answer:
Step-by-step explanation:
10hours
Find the function that can be used to represent the bananas
Answer:
it the 3rd one or the first
Step-by-step explanation:
how to factorise 15x-10x^3
what dose the least common multiple of 4 and 6 mean in this situation (LCM)
Answer:
12
Step-by-step explanation:
You make a T-chart and list out all the multiples and you find which multiple is the smallest number they both have! For example, 4 and 6 have 12 as their least common multiple because 3 x 4 is 12 and 2 x 6 is 12, that’s the smallest number they both have in common.
X to the power of 2 plus Y to the power of 2 plus 4x-2y=1
The equation of a circle in a xy plane is shown above. what is the radius of the circle.
A) 2
B) 3
C) 4
D) 9
I have no idea what the answer is
Answer:
sfddddddgfd
Step-by-step explanation:
-6x =48
need help urgently
Answer:
x = -8
Step-by-step explanation:
Divide each side by -6 to cancel out the -6 next to x. It should now look like this: x = -8I hope this helps!
[tex]→-6x =48[/tex]
[tex]step \: by \: step \: explanation:[/tex][tex] \implies{- 6x = 48}[/tex]
[tex]\implies \: x = \frac{48}{ - 6 } [/tex]
[tex] \blue{\implies \: x = - 8}[/tex]
Which of these items is the better buy? A. An 8-pack of glue sticks for $3.99 or 1 glue stick for $0.54? B. A 12-pack of tape for $2.50 or 1 roll of tape for $0.19 c. A 100-pack of pencils for $4.88 or 1 pencil for $0.05 d. A 50-pack of paper clips for $0.89 or a 25-pack of paper clips for $0.45
Answer: A is the 8-pack, B is the single roll, C is the 100 pack, D is the 50 pack.
Step-by-step explanation:
For each of these, multiply the smaller number by a number that has a product of the bigger number, example D. multiply 25 by 2 to get 50, then compare the totals.
Answer:
the first one is an 8 pack of glue sticks
the second one is 1 tape roll for .19
the third one is 100 pack of pencils for 4.88
the fourth one is a 25 pack of paper clips
Step-by-step explanation:
For f(x)=4x+11, what is the value of f(15)?
Which of the following inequalities is shown in the graph
Answer: D) y ≤ 5/2x + 5
The slope is 5/2 and the y-intercept is 5. The area shaded should be to the right of the line because it is less than or equal to.
Hope this helps!
SAS Similarity
Not Similar
SSS Similarity
AA Similarity
Answer:
So using process of elimination it isnt possible for it to be AA or not similiar bc they are similiar since there vertical angles so were left with picking between SSS and SAS which I know that there is an angle that is congruent which is at the midpoint so if i were you I would put SAS similarity.
Step-by-step explanation:
I just took a test of this lesson so I hope im right.
FIRST ANSWER GETS CROWNED BRAINLIEST!!! 30 points!!!
The slope of a line is 3/4. If x increases by 20, what is the corresponding change in y? Please explain the answer.
Answer:
15
Step-by-step explanation:
15 is three quarters of 20 and a gradient of a graph is how much the y axis increases when you increase the x axis value, so if it increases by a value then in this case we need 3/4 of this value, hence 15
Answer:
The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
Try this Adjust the line below by dragging an orange dot at point A or B. The slope of the line is continuously recalculated. You can also drag the origin point at (0,0).
Step-by-step explanation
If it is wrong then I'm sorry
The restaurant bill for Annette is $55.82.
She adds an 18% tip for the waiter.
What is the total cost of Annette's meal rounded to the nearest cent?
pls answer seriously, I'm failing this class its so hard for me :(
Is there a way to rewrite this? It asked me to create an equation, and I did: 180([tex]x^{2}[/tex]). I checked it and it said it was wrong, however, I used the same equation to get the answer for the second question and it was correct. I thought that maybe there was another way to write the equation, so I used the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and had no luck. Is there a way to write it that I don't know about?
Step-by-step explanation:
Hope this helps, and sorry for the image, my phone is glitchy.
cheers!!!
The sum of two numbers is 91. The greater number is 7 more than the smaller number. Which equation can be used to solve for the smaller number?
x(x + 7) = 91
x(x − 7) = 91
x + (x + 7) = 91
x − (x + 7) = 91
Answer:
x+(x+7)=91
Step-by-step explanation:
Hope this helps :)
Answer: your answer for the smaller number is 38.5 and the larger number is 52.5.
Step-by-step explanation:
To make sure it's right, I just add the numbers together.
Your Problem:
91 ÷ 2 = 45.5
45.5 + 7 = 52.5
45.5 - 7 = 38.5
52.5 + 38.5 = 91
If 15 is subtracted from three times a certain number,
the result is 27. Find the number
Answer:
x=14
Step-by-step explanation:
3x-15=27 (add 15 to both sides)
3x=42 (divide both sides by three)
x=14
The required number is -4.
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Now it is given that, 15 is subtracted from three times a certain number,
the result is 27.
Now let x be the number.
Three times the number = 3x
Therefore, 15 is subtracted from three times a certain number = 15 - 3x
Therefore, the equation for 15 is subtracted from three times a certain number, the result is 27 is,
15 - 3x = 27
Subtracting 15 both the side we get,
15 - 3x - 15 = 27 - 15
⇒ -3x = 12
or, x = -12/3
⇒ x = -4
which is the required number.
Thus, the required number is -4.
More about linear equation :
brainly.com/question/16584198
#SPJ2
Consider f(x) = mx + b where m and b are both non-zero constants. The function g(x) is the inverse of f(x). Which of the following functions is g(x)? Use composition of functions to check your answer.
Answer:
2x-54n
Step-by-step explanation:
The diameter of a cylinder is doubled, and the height is cut in half. what will happen to the volume of the cylinder? please!
Answer:
The volume will be four times the original volume.
Step-by-step explanation:
V = (pi)r2h is the formula for the volume of a cylinder. The formula becomes V = (pi)(2r)2h if the radius is doubled and the height remains the same. V = 4(pi)r2h after simplifying. ... Therefore the new volume would be 4 times the original volume.
help please order the temperatures from least to greatest !
-0.8 C
-1.2 C
0.5 C
- 2.0 C
0.8 C
Write 30/45 in simplest form
Answer:
[tex] \frac{30}{45} \\ = \frac{2}{3} (both \: divided \: by \: 15)[/tex]
2/3 is the correct answer.....Thank you ☺️
Answer: 2/3
Step-by-step explanation: divide 30 and 45 by 15
write the sentence as an equation.241is the same as 364 fewer than f
Answer:
241 = f - 364
Step-by-step explanation:
Solve for x:
1/2x + 10 = -2 + x
Answer: x = 24
Step-by-step explanation: coz I juss know
Answer:x=24
Step-by-step explanation:hope this helps!
Find x and y. Give reasons to justify your solution.
Answer:
122
Step-by-step explanation:
397 x 543 in partial product mltipulcation box
Answer:
215571 hope this helps :)
Answer:
to be fair don't ask me plz
Step-by-step explanation:
Visitors to a cinematic are either children, adults or pensioners. Ratio of children to adult visitors is 1:2 Ratio of adults to pensioners is 3:4 A stratified sample of 85 is to be taken from the cinema visitors. How many pensioners should there be in the sample?
Ratio of children, adults and pensioners is 1 : 2 : 8/3 = 3 : 6 : 8.
Let, 3x is number of children.
So, 6x is number of adults and 8x is number of pensioners.
Now,
3x + 6x + 8x = 85
17x = 85
x = 5
Therefore, number of pensioners are 8×5 = 40.
Hence, this is the required solution.
Let x represent any year. Write an inequality in terms of x and 1610
that is true only for values of x that represent years after the year the Mali Empire fell.
The year of the empire fell = 1610.
We are given x as a variable that represents the year after the given year 1610.
We need to setup an inequality for this situation.
Please note: The year after the year number 1610 will have a number that greater than 1610.
Let us make a statement for inequality to be written.
"The year after the 1610 is greater than 1610".
The year after the 1610 is x and gerater than symbol is >.
So, we can setup an inequality as:
x > 1610 : Read as x is greater than 1610.