Which equations and/or functions represent the graphed line? Select three options.
f(x)=1/5x-4
f(x)=1/2x+2
f(x)=1/2+1
y-3=1/2(x-2)
y-1=1/2(x+2)
Answers
Answer:
The second one, the fourth one, and the fifth one.
f(x)=(1/2)x+2
y-3=1/2(x-2)
y-1=1/2(x+2)
The three equations that represent the graphed line are:
f(x) = (1/2)x + 2
y - 1 = (1/2)(x + 2)
y - 3 = (1/2)(x - 2)
To identify which equations and/or functions represent the graphed line, we can compare the given equations with the characteristics of the graph.
The graphed line appears to have a slope of 1/2 and passes through the point (0, 1). Let's check the options:
f(x) = (1/5)x - 4: This equation has a slope of 1/5, not 1/2, so it does not represent the graphed line.
f(x) = (1/2)x + 2: This equation has the correct slope of 1/2, but it does not pass through the point (0, 1), so it does not represent the graphed line.
f(x) = (1/2) + 1: This equation is not in slope-intercept form and does not represent the graphed line.
y - 3 = (1/2)(x - 2): This equation has the correct slope of 1/2 and passes through the point (2, 3). However, it does not pass through the point (0, 1), so it does not represent the graphed line.
y - 1 = (1/2)(x + 2): This equation has the correct slope of 1/2 and passes through the point (−2, 1) (after rearranging to slope-intercept form). It also passes through the point (0, 1), which matches the graph.
The three equations that represent the graphed line are:
f(x) = (1/2)x + 2
y - 1 = (1/2)(x + 2)
y - 3 = (1/2)(x - 2)
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Related Questions
What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a
Answers
Answer:
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 5x - 7 = 0[/tex]
Required
Solve for x using:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
First, we need to identify a, b and c
The general form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
So, by comparison with [tex]x^2 - 5x - 7 = 0[/tex]
[tex]a = 1[/tex] [tex]b = -5[/tex] [tex]c = -7[/tex]
Substitute these values of a, b and c in
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}[/tex]
[tex]x = \frac{5 \± \sqrt{25 +28}}{2}[/tex]
[tex]x = \frac{5 \± \sqrt{53}}{2}[/tex]
Split the expression to two
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
To solve further in decimal form, we have
[tex]x = \frac{5 + 7.28}{2}[/tex] or [tex]x = \frac{5 - 7.28}{2}[/tex]
[tex]x = \frac{12.28}{2}[/tex] or [tex]x = \frac{-2.28}{2}[/tex]
[tex]x = 6.14[/tex] or [tex]x = -1.14[/tex]
What is the equation of a line that is parallel to -x + 3y = 6 and passes through the point (3, 5)?
Answers
Answer:
y = 1/3x + 4
Step-by-step explanation:
Make it into slope intercept form
3y = x + 6
y = 1/3x + 2
parallel = same slope
y = 1/3x + b, plug in (3,5)
5 = 1/3(3) + b, b = 4
y = 1/3x + 4
Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).
Answers
Answer:
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
Domain: [tex]x \ne 1[/tex]
Step-by-step explanation:
Given
[tex]f(5x) = \frac{x - 5}{5x - 1}[/tex]
Required
Determine f(x) and its domain
To determine f(x), we replace 5x with x in f(5x)
So, we have:
[tex]f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}[/tex]
[tex]f(x) = \frac{\frac{x}{5} - 5}{x - 1}[/tex]
Take LCM
[tex]f(x) = \frac{\frac{x - 25}{5}}{x - 1}[/tex]
[tex]f(x) = \frac{x - 25}{5} * \frac{1}{x-1}[/tex]
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
To get the domain, we set the denominator as
[tex]5x - 5 \ne 0[/tex]
[tex]5x \ne 5[/tex]
[tex]x \ne 1[/tex]
What is the area of this shape?
7 inches
4 inches
5 inches
A. 17.5 square inches
B. 25.5
C.27.5
D. 35.5
E.37.5
Answers
Answer:
c because 5×4=20 and 3×5÷2=7.5= 27.5
A licensed nurse practitioner is instructed to give a patient 1500 milligrams of an antibiotic over a period of 36 hours. If the antibiotic is to be given every 2 hours starting immediately, how much antibiotic should be given in each dose? To answer this question, solve the equation 18x=1500.
Answers
Answer:
83.33 milligrams
Step-by-step explanation:
The equation, [tex] 18x = 1500 [/tex] represents the total dosage of antibiotics to be given to the patient in relation to the hours.
Thus, the each dosage = x.
Let's solve for x
[tex] 18x = 1500 [/tex]
Divide both sides by 18
[tex] \frac{18x}{18} = \frac{1500}{18} [/tex]
[tex] x = 83.33 milligrams [/tex] (nearest hundredth)
PLEASE HELPPP IDEK WHEN WE LEARNED THISSS
Answers
Answer:
1 in 52 I THINK DONT BE MAD IF ITS WRONG :(
Step-by-step explanation:
Because there are 52 cards in the deck and you need to pull out 1 card so its 1 in 52 chance
Can you write 10 2/3 as an improper fraction?
Answers
Answer:
10 2/3 is 32/3
Step-by-step explanation:
10*3=30
30+2=32
32/3
.
Step-by-step explanation:
10 2/3
add 10 + 2/3
continue
ASAP I AM BEING TIMED I WILL MARK BRAINLIST
In psychology, the word "Gestalt" refers to
 A. a personality type

B. an adaptation that increases chances of survival 
C. the organization of parts into a whole pattern
 D. a learned response to a stimulus  E. the unconscious forces that drive behavior
Answers
Answer:
C. the organization of parts into a whole pattern
Step-by-step explanation:
Addilyn received 300 of the most popular beads for her birthday.
There are 30 beads per package. How many packages did she receive?
1. a = 300 + 30
2. a = 300 x 30
3. a = 300 divided by 30
4. a = 300 - 30
Answers
Answer:
3. a=300/30
Step-by-step explanation:
you want to figure out how many packages she received, and there are 30 beads in each package. so, you divide the total amount of beads (300) by the amount in each package to determine how many packages there are. 300/30=10 packages of beads
-1/2 (10+1/4)
A. -5 -1/4
B. -5 -1/8
C. -5 +1/8
D. -5 +1/4.
Please help, I'll mark first correct as Brainlyest
Answers
Answer:
-5 1/8
Step-by-step explanation:
-5 1/8
please help me, i need this so much
Answers
Answer:
Do you have insta cus if u do follow _l.bartlett
Step-by-step explanation:
1. x<-3
2. z[tex]\leq[/tex] -5
3. y<2
4. 3 [tex]\leq[/tex]x<7
What is the sum of -7 1/6 + 3 5/6 in simplest form?
Answers
Answer:
-3 1/3
Step-by-step explanation:
I need help will give crown
Answers
Answer:
$15 per hour and he worked 5 hours yesterday.
Step-by-step explanation:
Since we know that the number of hours he works and know how much he got paid we need to look for how much he makes each hour.
Set up the equation like this.
7x=105
Divide by 7 to isolate the x
x=15
That means he makes 15 dollars per hour. For the 2nd part, we are looking for how many hours he worked. We know that he gets 15 dollars per hour so we can set up the equation like this.
15x=75
Divide by 15 to isolate the x
x=5
That means he worked 5 hours yesterday.
P.S. give me crown
Answer:
He worked approximately 4-5 hours because when he worked 7 hours a day he earned 105 dollars that means he made 15 dollars an hour so he only worked 4-5 hours that day and he made 75 dollars.
Step-by-step explanation:
This is a short answer so u dont have to write that much.
Bill built a rectangular pen in his yard that measures feet by 6 feet. He wants to make another pen that is similar but not congruent to the one he built. Which these rectangles is similar?
Answers
At a book store there are 25 books on the clearance section. 20 of the books are young adult novels and the rest of the books are picture books. Which statement is not true?
For every 4 young adult novels, there is 1 picture book
For every 5 books, 4 are young adult novels
The ratio of picture books to young adult novels is 1:4
There is 1 picture book for every 5 books
All statements are true
Answers
Answer:
all answers are true I think
9
1 point
The elevator of a building can safely carry no more than 4000 lbs. A worker moves supplies in 50-Ibs boxes from the loading dock to the
fourth floor of the building. The worker weighs 210 lbs. The cart weighs 95 lbs. What is the greatest number of boxes he can move in one
trip?
1
Write an inequality and solve.
2
b choose your answer...
V
type your answer...
3
4
Next
Previous
5
6
7
8
Answers
Answer: 74 boxes
Explanation: To get 305 you add the weight of the cart and the weight of the worker
Then create the inequality
Subtract 305 from 4000 and you get 3695
Then since the 50 is trying to multiply against x then you do the inverse operation and divide 3695 by 50
Which equals out to 73.9 and since the point nine is higher then 5 then you round the 73 up by one which gives you 74
4cm
Use 3.14 for pi
Circumference =
cm
Area
=
cm
Answers
Some 10 cm
Can somebody please solve these for me I don't wana do it (thats why i am using so many points)
Answers
Down
6. 4,011
10. -94
11. 26
13. 178
15. -8
16. 6,861
18. 3,482
20. 385
22. 788
24. -5
25. 44
Across
1. -248
5. -9
7. 4,923
8. 90
9. 67
10. -912
12. 119
14. 16
15. -6
17. 743
19. 8,838
21. 47
23. 68
24. -884
26. 15
27. 7,284
Find the x-intercept and y-intercept of the line.
2x+y=8
y-intercept:
x-intercept:
Answers
Answer:
The x intercept is 4 (by substituting y as zero we get x intercept)
And the y intercept is 8 (by substituting x as zero we get y intercept)
Take (4, 0) and take (8, 0) to graph the line
You're welcome!
Answer:
x = 4 y = 8 graph (4,0) and (8,0)
Plz help This is a very important thing I have to do and it depends 50% of my grade so please help...!
Answers
Answer:
A.B
Step-by-step explanation:
5 - sqrt1.35 = ~3.8
A) 3 / sqrt2 = ~2.1
B) 5 / sqrt3 = ~2.9
C) 3 + 2sqrt2 = ~5.8
D) 4 + 8/sqrt50 = ~5.1
Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?
Answers
Answer:
$460.
Step-by-step explanation:
[tex]Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\[/tex]
So the price yesterday was $460
Paul was making some brownies and cupcakes for his school fundraiser. If the brownies needed 4.8 cups of sugar and the cupcakes needed 5.2 cups, how much sugar would he need altogether?
Answers
Answer:
10 cups in total.
Step-by-step explanation:
4.8+5.2= 10.00
add the .2 to the 4.8 you get get 5 then add 5.0+5.0
question no. 3 the square root pls help guys pls
Answers
3. Jason earns $400 per week plus a 3% commission on his total sales. If he sold $675 in total sales, how much did he earn this week?
Answers
Answer:
$420.25
Step-by-step explanation:
Total earnings of the week
[tex] = 400 + 3 \% \: of \:675 \\ \\ = 400 + 0.03 \times 675 \\ \\ = 400 + 20.25 \\ \\ = \$ 420.25[/tex]
if lines intersect, does that make it, one solution, no solution, or infinite solution?
Answers
Answer:
one solution
Step-by-step explanation:
No solution is when they don't intersect at all. Infinite solutions is if the two lines are on top of each other.
Answer:
one solution
Step-by-step explanation:
if they intersect, they become one solution, if they don't intersect, than there are no solutions. If the graphs of the equations are the same, there are infinite solutions.
Fill in the missing fractions in the blanks. (You don't need to simplify.) 50.891 = 50 + 8/10 + Source 51-5 USM2 THAN YO UNA CA bo Anu
Answers
Answer:
Sorry no idea
Step-by-step explanation:
What is the slope of AB in parallelogram ABCD?
Answers
The slope of the line [tex]\overline{AB}[/tex] is the rate at which the line rises at a point.
[tex]\mathrm{The \ slope \ of \ \overline{AB} \ is \ D.} \ \dfrac{5}{2}}[/tex]
Reasons:
The slope of a line is given by the ratio of the rise to the run of the line
The coordinates of point A = (-9, -4)
The coordinates of point B = (-5, 6)
The rise of the line [tex]\overline{AB}[/tex] = The difference in the y-values = (6 - (-4)) = 10
The run of the line [tex]\overline{AB}[/tex] = The difference in the x-values = (-5 - (-9)) = 4
[tex]Slope \ of \ \overline{AB}= \dfrac{Rise \ of \ line \ \overline{AB}}{Run \ of \ line \ \overline{AB}}[/tex]
Therefore
[tex]Slope \ of \ \overline{AB}= \dfrac{10}{4} = \dfrac{5}{2}[/tex]
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A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
Answers
Answer:
315 inches
Step-by-step explanation:
180 + 180 * 075 =
180 + 135 = 315
Answer:
The truck is 315 inches long.
Step-by-step explanation:
Christine purchased a prepaid phone card for $20. Long distance calls cost 18 cents a minute using this card. Christine used her card only once to make a long distance call. If the remaining credit on her card is $15.68, how many minutes did her call last?
Answers
Answer:
4 minutes and 32 seconds
Step-by-step explanation:
card $20.00-money left over $15.68 $20.00-$15.68 4.32
What is 135 less than the product of 57 and 219?
Answers
Answer: something in the negatives
Step-by-step explanation: