Write a linear function f with the values f(−1)=8 and f(5)=6.
A function is f(x)=
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9514 1404 393
Answer:
f(x) = -1/3x +23/3
Step-by-step explanation:
You can use the linear regression function of a graphing calculator or spreadsheet to show you the equation of the line through these points:
f(x) = -1/3x +23/3
__
Approaching this in the usual way, we recognize we have points ...
(-1, 8) and (5, 6)
The slope of the line through those points is ...
m = (y2 -y1)/(x2 -x1)
m = (6 -8)/(5 -(-1)) = -2/6 = -1/3
Then the point-slope equation of the line is ...
y - 8 = -1/3(x +1)
Adding 8 gives us a form we can use for a function definition:
f(x) = -1/3(x +1) +8
f(x) = -1/3x +7 2/3
Related Questions
Find the error(s) and solve the problem correctly. Be sure to explain and show your work. Where did the "wrong answer" come from? sin 52° Answer: sin 52 = .9866
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The error of the evaluation comes from the fact that Sin 52° = 0.7880.
According to the question;
we are required to determine what's wrong with the evaluation..By evaluation;
Sin 52° when evaluated by means of a scientific calculator or tables gives; 0.7880.The error can be determined by evaluating; the inverse sine of 0.9866.
Sin-¹ .9866 = 80.6.Read more;
https://brainly.in/question/14817452
Which expression is the factored form of−4.5n+3?
−1.5(3n+2)
−3(1.5n+1)
−3(1.5n−1)
−1.5(−3n+2)
Answers
Answer:
— 3 (1.5n — 1)
Step-by-step explanation:
[tex] - 4.5n + 3 = - \frac{9}{2} n + 3 = 3( - \frac{3}{2} n + 1) = - 3( \frac{3}{2}n - 1) \\ = - 3(1.5n - 1)[/tex]
PLEASE HELP WITH THIS ONE QUESTION
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Answer:
Shift 7 units down
Step-by-step explanation:
Shift 7 units down
which of the following are perfect cubes 1)3375 2)8000 3)6859
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Answer:
all are perfect cubes
Step-by-step explanation:
you can just cube root the numbers and bom if it aint decimal its a perfect cube
What is the distance between the two points (4,7) and (4, -2)?
a. 5
12.04
b. 9
d. 12.53
C.
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Answer:
9 unitsStep-by-step explanation:
Given two points:
(4, 7) and (4, - 2)The distance between them is the difference of y- coordinates since x- coordinates are same:
7 - (- 2) = 7 + 2 = 9
The price of an item has risen to $343 today. Yesterday it was $140. Find the percentage increase.
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Answer:
145% increase
Step-by-step explanation:
343 - 140 = 203
203/140 = 1.45
1.45 x 100 = 145
The question is in the picture.
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Answer:
[tex]x^{3r-18}[/tex]
Answer:
[tex]x^{3r-18}[/tex]
Step-by-step explanation:
[tex]\frac{1}{x^{18-2r} } x^{r} =\frac{x^{r} }{x^{18-2r} }[/tex]
[tex]=x^{r-(18-2r)} =x^{r-18+2r}[/tex]
[tex]=x^{3r-18}[/tex]
Hope this helps
4. Prove by mathematical induction that n² +n < 2" whenever n is an integer greater than 4.
Answers
Step-by-step explanation:
n² + n < 2^n
so, let's see what happens, when I increase n by 1
(n+1)² + n + 1 < 2^(n+1) = 2×2^n
n² + 2n + 1 + n + 1 < 2×2^n
n² + 3n + 2 < 2×2^n = 2^n + 2^n
so, we added on the left and on the right side of the inequality sign compared to the original relation :
2n + 2 vs. 2^n
so, once the original relation becomes true (and we see by trying that for n = 1, 2, 3 and 4 it is not, but for n = 5 it becomes true), the next integer follows the original inequality plus the expressions mentioned above.
n² + n + (2n + 2) < 2^n + (2^n)
this inequality will remain true, if
2n + 2 <= 2^n
n + 1 <= 2^(n-1), which is true for n > 2 (and therefore also n > 4), because the "power of" function 2^n progresses much faster than a simple n+1
and therefore this relation remains true for any larger n.
On a map, the scale is 1 inch = 40 miles. What is the actual distance for 3.25 inches shown on the map?
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Answer:
130 Miles
Step-by-step explanation:
can someone give me the answer to this please!
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Answer:
f hnjkhufqeyuwegbwegnasdgjbbhdfu8isbhwsduihjjrwhiwerhugwhj4g4wyug4huwreuywefgkofjfu9qhfu8mfnfnjrfnfjqwejknuiaefhbuqwiefjjjhjjjj
Step-by-step explanation:
fgjnwehgbwhgbge
find the value of -3/8 x 8/15=
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we have -3/8 x 8/15 = -3/8 x 8/ (3x5) = -1/5
ok done. thank to me :>
What is the name of the process you use to rewrite a quadratic function from standard form into vertex form?
Graphing the transformation
Completing the square
Creating vertex form
Transforming the parent function.
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Answer:
completing the square
Step-by-step explanation:
You can change a quadratic equation from standard form to vertex form by completing the square!
The distance between Kathmandu to Hetauda is 86 km. convert the distance from km into meter (m).
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Answer:
86000 meters
remeber: 1km = 1000m
so.....
86 x 1000 = 86000 right?? ;-;
Please help I do not really know what I’m doing if you could give an example of that would be good too but if not that’s OK
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Answer:
the dot would be shaded in and from -6 go to the left
Step-by-step explanation:
help me plz im desperate
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Answer:
B) y = 2x - 3
Step-by-step explanation:
We can determine which equation the line follows by checking the y-intercepts of each equation. The line passes through the point (0, -3) - this is the y-intercept of the line. The y-intercept in an equation is the single value after the slope. So, for example, in a line y = mx + b, b is the y-intercept.
For A, our y-intercept is (0, 2). For B, our y-intercept is (0, -3). For C, our y-intercept is (0, 3). For D, our y-intercept is (0, -2). So which one matches our line? It would be B, since both have a y-intercept of (0, -3).
So, that's our answer. If you need more help, let me know! :)
Answer: B
Step-by-step explanation:
The slope is 2 as it shown rise (2) over run (1)
Y-intercept is -3
The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is 4.5 meters per second, what is the distance traveled in 9 seconds?
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Answer:
Step-by-step explanation:
9(4.5) = 40.5 m
Select the number line that shows that two opposite numbers have a sum of 0.
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[tex]Hiya![/tex]
Sokka is here to help!
I believe it is A..
Hopefully, this helps you!!!
[tex]Sokka[/tex]
Answer:
Option B is correct.
Step-by-step explanation:
The question said "Opposite numbers and the sum of those numbers is 0". Let's see if Option B has these abilities.
3 - 3 = 0 ✔Are they opposites of each other? ✔=> Therefore, Option B is the correct answer.
These points are linear.
Find the slope.
M=?
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Answer:
Step-by-step explanation:
(5, 0) (6, 8)
(8 - 0)/(6 - 5) = 8/1 = 8
Savanna have 40 iris blooms last year this year she had 50% more iris blooms how many more iris blooms did savanna have this year
Answers
Answer:
6
Step-by-step explanation:
40 x 0.50 = 20
40 + 20 = 60
Savanna has 69 blooms this year.
A certain star has a luminosity that is 5.9 times greater than that of our sun and a radius that is 2.8 times greater than the sun. What is the temperature of this star relative to the sun?
Answers
Answer:
16.5
Step-by-step explanation:
times the numberthen u will get your answer
The largest frog in the world is the goliath, It can grow to be 12 inches long. The smallest frog in the world is about 2.5% as log as the goliath. About how long is the smallest frog in the world
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Answer:
0.3 inches
Step-by-step explanation:
2.5% = 0.025
The smallest frog is 12 * 0.025 inches, which is 0.3 inches.
Select the correct answer.
When graphing an inequality, the boundary line needs to be graphed first. Which graph correctly shows the boundary line of the inequality?
y <1/3x+ 1
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Answer:
C is the correct boundary line
Step-by-step explanation:
Answer:
It's so late but give that person they brainliest
Step-by-step explanation:
WHAT DOES EXPONENT C MEAN LETS SAY A NUMBER IS IN PARANTHESIS AND WITHIN THAT PARENTHESIS THERES A C AS AN EXPONENT WHAT DOES THAT MEAN
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Answer:
It means that the number is raised to the power of c. For example, if it is (2^3), the answer would be 8.
Step-by-step explanation:
what is 7:30 + 46 minutes
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The answer would be 8:16
plzz help me asap plzzzz
Answers
Answer:
1.-13.2
2.6485
Step-by-step explanation:
6. Find the percent of decrease from 24 to 18.
Answers
Answer:
25%
Step-by-step explanation:
24-18= 6
6 × 100 = 25%
24
Answer:
25% decrease
Step-by-step explanation:
find 1% of 24 24 divided by 100= 0.24
18 divided by 0.24 = 75
now 100 - 75 = 25
Ignore the numbers
Help me how do I do this question
Answers
Answer:
He will not have enough money
Step-by-step explanation:
you were able to identify the total area
which is 72+42 = 114 m^2
each tin covers 12 m^2,
114/12 = 9.5, so will need 10 tins (can't buy half a tin)
each tin cost 19£, so 10 will cost
10*19=190£
Caretaker will not have enough money
he is 60£ short
The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend.
"Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the on-site records of the vehicle.
"The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet. A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the Renter's total charge at a cost of $4.50 per gallon plus a $5.00 refueling charge."
Tim is running extremely late and has just 5 minutes to return his rental car to the agency. The fuel tank in the car is half empty. It was full when he picked it up. (The car has a 12-gallon fuel tank.) He doesn't think he can get gas and get to the agency to return the car in time. Returning the car a day late will result in an extra daily rental charge of $32.00 and refueling the car on his own will cost $2.59 per gallon at the local gas station. Which of the following statements is true?
a.
It would be cheaper to refuel the car and return it a day late.
b.
It would be cheaper to return the car on time and pay the refueling costs.
c.
It would cost about the same to return the car on time without gas or one day late with gas.
d.
Tim is not responsible for refueling the car when he returns it.
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Pls help me pls dont answer if you dont know
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Answer:
the answer is 147
Step-by-step explanation:
first you do 3.5cm times 84cm which is 294cm
then you do 294cm divided by 2 which is 147cm
the reason why you divide by 2 is because parallelograms like the triangle can be also halved into 2 separate triangles!!
hope this helped <3
Can someone check my work and show me where I went wrong?
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Answer:
the part where it's 25 and 183 should be 5400 if you are rounding to the nearest 10 and then multiplying
Answer:
You made a wrong answer in 183 and 25.
It should be 5,400
Step-by-step explanation:
183 round to the nearest ten = 180
25 round to the nearest ten = 30
180 * 30 = 5,400