7. Use the data in each table to write a linear function using function notation
Answers
Answer:
Answer
Step-by-step explanation:
7. f(x)=0.2x
8. f(x)=3x+5
9. f(x)=-2x-2
According to the tables, the linear functions are given by:
7. [tex]y = 0.2x[/tex].8. [tex]y = 3x + 5[/tex].9. [tex]y = -2x - 2[/tex].Linear function:A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.Item 7:
From x = -3 to x = 1, when x changes by 4, y changes by 0.8, hence the slope is:
[tex]m = \frac{0.8}{4} = 0.2[/tex].
Then:
[tex]y = 0.2x + b[/tex]
When x = 1, y = 0.2, which is used to find b. Hence:
[tex]0.2 = 0.2 + b[/tex]
[tex]b = 0[/tex]
Hence, [tex]y = 0.2x[/tex].
Item 8:
From x = -5 to x = -2, when x changes by 3, y changes by 9, hence the slope is:
[tex]m = \frac{9}{3} = 3[/tex].
Then:
[tex]y = 3x + b[/tex]
When x = 4, y = 17, which is used to find b. Hence:
[tex]17 = 3(4) + b[/tex]
[tex]b = 5[/tex]
Hence, [tex]y = 3x + 5[/tex].
Item 9:
From x = -5 to x = -2, when x changes by 3, y changes by -6, hence the slope is:
[tex]m = \frac{-6}{3} = -2[/tex].
Then:
[tex]y = -2x + b[/tex]
When x = 8, y = -18, which is used to find b. Hence:
[tex]-18 = -2(8) + b[/tex]
[tex]b = -2[/tex]
Hence, [tex]y = -2x - 2[/tex].
You can learn more about linear functions at https://brainly.com/question/16302622
Related Questions
Please help! I am so bad at math!
Answers
Answer:
PR=12
Step-by-step explanation:
2x+6=3x-6
6=x-6
12=x
Please help me I need the answer for this question. correct one please
Answers
thus ,
x + 50 degree + 55 degree = 180 degree
x = 75 degree
plz help i have to submit in 20 minutes !!!
Answers
Answer:
Step-by-step explanation:
1. a). Hypotenuse² = (Leg 1)² + (Leg 2)²
h² = 10² + 24²
h = √676
h = 26
(b). Hypotenuse² = (Leg 1)² + (Leg 2)²
(25)² = (15)² + (leg 2)²
Leg 2 = √(625 - 225)
= √400
= 20
(c). Hypotenuse² = (Leg 1)² + (Leg 2)²
h² = 4² + 6²
h = √(16 + 36)
h = √52
h = 2√13
(d). Hypotenuse² = (Leg 1)² + (Leg 2)²
(14)² = (Leg 1)² + 7²
Leg 1 = √(196 - 49)
= √147
= 7√3
2). Hypotenuse² = (Leg 1)² + (Leg 2)²
Leg 1 = leg 2 = 7 units [Since, triangle is an isosceles triangle]
h² = 7² + 7²
h = √98
h = 7√2
Option (1) is the correct option.
3). Hypotenuse² = (Leg 1)² + (Leg 2)²
(26)² = (Leg 1)² + (10)²
Leg 1 = √(676 - 100) = 24
Area of a right triangle = [tex]\frac{1}{2}(\text{Leg 1})(\text{Leg 2})[/tex]
= [tex]\frac{1}{2}(24)(10)[/tex]
= 120 square units
Option (3) is the correct option.
1. Solve 6(x - 2) = 2(x + 12).
Answers
Answer:ok so. X= 9.
Step-by-step explanation: Step by Step Solution
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): Dot was discarded near ").".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*(x-2)-(2*(x+12))=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
(6 • (x - 2)) - 2 • (x + 12) = 0
STEP
2
:
Equation at the end of step 2
6 • (x - 2) - 2 • (x + 12) = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
4x - 36 = 4 • (x - 9)
Equation at the end of step
4
:
4 • (x - 9) = 0
STEP
5
:
Equations which are never true:
5.1 Solve : 4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : x-9 = 0
Add 9 to both sides of the equation :
x = 9
One solution was found :
x = 9
here you go
Answer:
6x-12=2x+24
combine like terms
4x-12=24
add 12 on both sides
4x=36
divide by 4
answer is:x=9
Step-by-step explanation:
brainly and points :)
Answers
Answer:
9
Step-by-step explanation:
(3/2)^3 = 27/8
27/8 x 8/3 = 27/3 = 9
the factory produces 115 items an hour. Write an equation that shows the relationship between hours x and items y plz help
Answers
Answer:
115x=y
Step-by-step explanation:
someone please help 71 points
Answers
Answer:
I am not sure what you would like me to answer but you can either message me or just make another question with either the rest of the question or a picture of your question. I am happy to help under any circumstance.
Pls help :((. Im really stuck and confused
Answers
Step-by-step explanation:
2. AB || CD 2. Def of parallelogram
3. <BAC is congr <DCA 3. alt int angles of parallel lines
4. seg AB is congr seg CD 4. Theorem: opp sides of parallel are congr
5. <s AEB and CED are rt <s 5. Def of perpendicular lines
6. <AEB is congr <CED 6. Theorem: all right angles are congr
7. tr. AEB is congr tr. CED 7. AAS
8. seg. AE is congr seg. CE 8. CPCTC
9. <BEC is a rt < 9. Def of perpendicular lines
10. <AEB is congr <BEC 10. Theorem: all right angles are congr
11. seg BE is congr seg. BE 11. Theorem: congr of seg's is reflexive
12. tr. AEB is congr tr. CEB 12. SAS
13. seg AB congr seg BC 13. CPCTC
The list below shows the different choices of pizka at the local pizza shop:
- pepperoni: 4
- supreme: 7
- cheese: 6
- Hawaiian: 3
Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?
Answers
Answer:
Step-by-step explanation:
help me please! just answer one question! thats enough for me!
Answers
Answer:
1. 5, 11, 18, 26, 35, 45
Step-by-step explanation:
5, 11, 18, 26,
The difference between 5 and 11 is 6.
The difference between 11 and 18 is 7.
The difference between 18 and 26 is 8.
As you can see their difference increases by 1, so the next difference would be 8 + 1 = 9.
26 + 9 = 35
And the next difference would be 9 + 1 = 10.
35 + 10 = 45
Mrs.Jones sells houses. She gets a 7% commission on all sales. How much commission would she earn on a house that sells for $200000?
Answers
Answer:
The commission Mrs.Jones gets is 14000 dollars
Answer:
$14,000
Step-by-step explanation:
First, convert the percentage to a decimal and get 0.07. Multiply this by 200,000 and get 14,000. So 7% of 200,000 is 14,000.
Which of the following functions is graphed below
Answers
Answer:
C: y = |x-2| + 3
Step-by-step explanation:
When dealing with transformations, the numbers in the parentheses is the horizontal translation and the numbers outside the parentheses are vertical translation. The only reason the lines are | rather than ( is that they are absolute value.
When taking the horizontal measures, you always flip the sign. So since it is going to the right 2 times, you would think it would be +2, but since it is in the parentheses it would be -2.
When taking the vertical measures, it's just standard thought. So since it is up 3 it would be +3.
Putting all of that together would give you |x-2|+3
The table shows the distance Shannon ran over a week.
Day
Tuesday
Length {km)
5
2
6
Wednesday
1911 DO NOT
Friday
Saturday
How many more kilometers did Shannon run on Friday than on Saturday?
kilometer
PLEASE HELP
Answers
Answer:
Shannon run 1.5 km more on Friday than on Saturday.
Step-by-step explanation:
From the given table
Distance run on Friday = 4/2 = 2 kmDistance run on Saturday = 1/2 = 0.5 kmIn order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.i.e.
Friday run - Saturday run = 2 - 0.5
= 1.5 km
Thus, Shannon run 1.5 km more on Friday than on Saturday.
here is a screenshot:
Answers
Answer:
Sam
Step-by-step explanation:
Just put them into a fraction for Sam its 15/5 and the ratio (basically a fraction) is 3/1 so if you simplify the 15/5, you’d get 3/1 which is the same so sam’s ratio is corrrect
Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25. Find the tip using that method.
Answers
Answer:
tip would be $3.50
Step-by-step explanation:
10% + 5% = 15%
10% of 23.25 is 2.33
5% of 2.33 is 1.17
add 2.33 and 1.17 to get 3.50
Answer:
I would do the question like
10% + 5% = 15% which would equal 3.50
Hope this helped (please mark brainliest)
Given quadrilateral ABCD is congruent to Quadrilateral A'B'C'D', What is the measure of B'C'?
2in
14in
18in
6in
Answers
....................
Answers
okkkkkkkkkkkkkkkkkkkkkkkkkkkk
find the slope of the following 2 points (2,-5), (9,3)
Answers
Answer:
8/7
Step-by-step explanation:
(2,-5) (9,3)
3-(-5)=8 because you apply your keep change change
9-2= 7
so 8/7
PLEASE HELP I NEED IT FAST
Simplify the expression
-4-5(w+8)
Answers
can anyone out there help me? This is due today!!
WiIl give brainliest :D
Answers
Answer:
D.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
because it the only right one according to my research
Lin’s family has completed 80% of a trip. They have traveled 40 miles. How far is the trip? *
Answers
Answer:
50 miles i believe
Step-by-step explanation:
Answer:
50 miles
Step-by-step explanation:
Find the distance between the two points (3, -8) and (-2,-5). Round your
answer to the nearest tenth.
C. 5.8
A. 34
B. 4
D. 13.9
Answers
You flip an inequality symbol when you...
Answers
The cell phone plan from Company C costs $15 per month, plus $12 per gigabyte for data used. The plan from Company D costs $75 per month, with unlimited data. Rule C gives the monthly cost, in dollars, of using gigabytes of data on Company C’s plan. Rule gives the monthly cost, in dollars, of using gigabytes of data on Company D’s plan.
Sara wants to know what company to go with if her average gigabyte usage is 7 gigabytes per month. Explain which plan she should use, Company C or D? Make sure you support your choice with mathematical evidence.
Answers
Step by step explanation:
First we need to figure out how much money it would be for company C. If it is $15 per month and $12 per gigabytes used. We would set up and equation that would look like 15 + 12g (g= gigabyte used) and in this case we would substitute G for 7 which would look like 15 +12(7), 15 + 84= $99. Meaning that if Sara were to go with Company c she would be spending $99. Not we would solve for Company D, there is not much to solve for Company D considering that it is only $75 a month and includes unlimited data. If Sara were to go with Company C she would be spending $24 more than sue if she were to choose company D.
Hope this helps!
Please tell me if I am incorrect, I enjoy learning from my mistakes!
Good luck❤️
PLZZ HELPP IM FAILLING THIS CLASS
Answers
Answer:
cups
0.14 and 0.098
plates
0.1375 and 0.144
silverware
0.047 and 0.129
Total:
30.25
Step-by-step explanation:
5.60/40 and 4.90/50
40 count and 50 count
cups
0.14 and 0.098
2.75/20 and 3.60/25
plates
0.1375 and 0.144
9.85/210 and 12.90/100
silverware
0.047 and 0.129
Total:
(5.60+4.90)*(0.85)+(2.75+3.60)*(0.85)+(9.85+12.90)*(0.70)
=30.2475
round
30.25
Answer:
The answer to your question is 30.25
Step-by-step explanation:
Hope I helped! Sorry if not. Have a wonderful day and an even better Christmas break! Happy Holidays! Remember to focus on the positive and follow me please! Thanks, Bye! ;D
please help me im stuck on this question 20 POINTS!!!
Answers
Step-by-step explanation:
1; x <-2 (this one has the line under the sign)
2;x>2
3;x-2<0
4;2<x ( this one has the line under the sign)
5; -2<x
Glass melts at a temperature that is higher than 2,500 degrees and less than
3,000 degrees.
Answers
Answer:
I think A is correct answer
Answer:
a
Step-by-step explanation:
what is the slope for (-11, 1) and (-2, 6)?
Answers
Answer:
5/9
Step-by-step explanation:
You can verify me by using the y2-y1/x2-x1 formula
The price of a Nintendo Switch was on sale on Black Friday for $250, the original price was $300. What percent was it marked down?
A. 20%
B. 25%
C. 50%
D. None of the above.
Answers
Answer:
A
Step-by-step explanation:
Answer:
none of the above
Step-by-step explanation:
plz mark as brainliest
Find the slope between the points: (3,4) and (-1,-2)
Answers
Answer:
3/2 hope this helps hqhahjajja
