Linear functions are used to represented straight lines.
The linear function is [tex]y = -\frac 12x + 1[/tex]
The points on the graph are: (2,0) and (0,1)
Start by calculating the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
Substitute values for x and y
[tex]m = \frac{1 - 0}{ 0 -2}[/tex]
[tex]m = \frac{1 }{ -2}[/tex]
Rewrite as:
[tex]m = -\frac{1 }{2}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = -\frac 12(x -0) + 1[/tex]
[tex]y = -\frac 12(x) + 1[/tex]
Open bracket
[tex]y = -\frac 12x + 1[/tex]
Hence, the linear function is [tex]y = -\frac 12x + 1[/tex]
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Part G Compare this activity tracker & with the calorie calculator you used in part A. Imagine that a company hires you to make an online tool that uses the best features of each calculator to give users an accurate sense of their physical activity and energy expenditure. What features would you use from each calculator? How would your calculator work?
Answer:
The physical activity calculator helps calculate minutes of activity and breaks down the types of activities performed every week. The calorie calculator doesn’t keep track of all activities. However, it calculates calorie expenditure. A new calculator might be a combination of the two calculators. It’d be a two-step process. People would be able to enter their age, gender, weight, height, and any medical factors so that they can ensure that their calorie calculations are accurate. Then, they’d be able to track the calories expended each day for a week by adding their activities for the whole day, from sitting to exercising. This information would give them an accurate portrayal of calorie expenditure and estimated caloric requirement.
exact answer
Step-by-step explanation:
Answer:
by seeing how the things they are doing and effecting them and then calulating them to add them up so i can see the amount of thier activity caused them to decrease or increase themselfs
Step-by-step explanation:
own explaination just incase teacher does suspect the answer
to be copied :)
The value of -2 is_________the value of 1.5 because-2 lies to the__________of 0 and 1.5 lies to the_________of 0 on the number line.
Answer:
The value of -2 is LESS THAN the value of 1.5 because -2 lies to the LEFT of 0 and 1.5 lies to the RIGHT of 0 on the number line
Step-by-step explanation:
ok how do i show work for this tho lolololoololololollloooooool
Answer:
y=[tex]\frac{1}{5}[/tex]x is linear
Step-by-step explanation:
4x-3y=7y+2x
collect like terms
4x-3y-7y-2x=0
2x-10y=0
simplify
x-5y=0
rewrite it in slope intercept form
y=[tex]\frac{1}{5}[/tex]x which is the equation for a straight line
Which points on the curve of x^2 - xy - y^2 = 5 have vertical tangent lines?
We need to differentiate this with respect to x to see if we can find an expression for the derivative of y at various points. That will be the slope of the tangent to the curve. Then we want to see where that derivative might be infinite -- i.e., where the tangent is vertical.
It's not written as a function, but it can still be differentiated using the chain rule:
x2 + xy + y2 = 3
(2x) + (x dy/dx + y dx/dx) + (2y dy/dx) = 0
(I used parentheses to show the differentiation of each term in the original equation.)
2x + x dy/dx + y + 2y dy/dx = 0
2x + y = -x dy/dx - 2y dy/dx
2x + y = dy/dx (-x -2y)
-(2x + y)/(x + 2y) = dy/dx
We have the derivative of y, but it's defined partly in terms of y itself. That's OK. Let's go on...
So where would the slope be infinite? That would happen when x + 2y = 0, or y = -x/2
Let's plug that in for y in the original equation to find points where that's the case.
x2 + xy + y2 = 3
x2 + x(-x/2) + (-x/2)2 = 3
x2 - x2/2 + x2/4 = 3
3x2 / 4 = 3
x2 = 4
x = ±2
So we have two x values where the tangent might be vertical. Let's plug them into the equation and see what the y values are. First x = 2...
x2 + xy + y2 = 3
4 + 2y + y2 = 3
y2 + 2y + 1 = 0
(y + 1)2 = 0
y = -1
So at the point (2, -1) the tangent is vertical.
Now try x = -2...
x2 + xy + y2 = 3
4 - 2y + y2 = 3
y2 - 2y + 1 =0
(y - 1)2 = 0
y = 1
So at the point (-2, 1) the tangent is vertical.
teheheh help please :)
Answer:
Solid line
Step-by-step explanation:
This means that it is equal. The line under the less than sign means it would be a solid line.
0.2(3m − 6) + m = 2 for 8th grade
Answer:
2
Step-by-step explanation:
0.6m-1.2+m=2
1.6m-1.2=2
1.6m=3.2
m=2
Please help!!!!!!!!!!
Answer:
its c
Step-by-step explanation:
PLEASE HELPPPPP!!!
Find the slope and y-intercept of the graph of each question:
1. y=6x+11
(pretty sure 6 is the slope and 11 is the y-intercept... pls correct me if me wrong)
2. y=x+6
(1 is the slope and 6 is the y-intercept??)
Answer:
1. slope = 6, y-intercept = 11
2. slope = 1, y-intercept = 6
Answer:
you are correct
Step-by-step explanation:
6 is the slope and 11 is the y-intercept
1 is the slope and 6 is the y-intercept
what is the product of 9,028 x 100,000
Answer:
902,800,000
Step-by-step explanation:add the 5 zeros from 100,000 to 9,028
What is the perimeter?
14 feet
12 feet
16 feet
Answer:
14 feet
Step-by-step explanation:
You find this answer by adding each side. The arrow tells us that each side of a square is 1 foot, so you add up the outer sides of each square
value of complex number i^7+1/i^4
[tex]i^7 + \dfrac 1{i^4}\\\\=i^2 \cdot i^2 \cdot i^2 \cdot i + \dfrac 1{i^2 \cdot i^2}\\\\=(-1)(-1)(-1)i + \dfrac 1{(-1)(-1)} ~~~;[ i^2 = -1] \\\\\ = (-1)^3 i+ \dfrac 1{(-1)^2} \\\\=-i+1[/tex]
Solve for x
TS = 2x - 6
CE = 3x - 6
Use midpoint theorem :- The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also 'half of the length of the third side'.
So,
2x - 6 = ½ (3x - 6)
2x - 6 = 3x/2 - 3
2x - 3x/2 = -3 + 6
½ x = 3
x = 3 × 2
x = 6
______
Hope it helps ⚜
Please hurry and help
15 points
Answer:
A
Step-by-step explanation:
Seems like a reasonable answer choice
What is the equation of the line with a slope of 4 and passes through the point (1, -4)?
Answer:
y=4x-8
Step-by-step explanation:
m=4 (1,-4)
-4=4(1) + c
-4=4+c
-4-4=c
-8=c
y=4x-8
Answer: y = 4x - 8
Step-by-step explanation:
The best way to go about this is to first put the information you know into point-slope form, which is:
[tex]y-y_{1} =m(x-x_{1})[/tex]
[tex]y_{1}[/tex] and [tex]x_{1}[/tex] represent the values of our point (1, -4), so:
[tex]y_{1}=-4[/tex], and [tex]x_{1}=1[/tex].
[tex]m[/tex] represents our slope of 4, so:
[tex]m=4[/tex]
From this, we can plug in our values:
[tex]y-(-4)=4(x-1)[/tex]
A little simplification and distrobution takes us to this:
[tex]y+4=4x-4[/tex]
Then simply subract 4 from both sides to get this:
[tex]y=4x-8[/tex]
An easier way to reason this is to visualize the line in your head and figuring out what the y-intercept is so you can go strait into the [tex]y=mx+b[/tex] form where b is the y-intercept.
Hey y’all pls help me ASAP :)
Answer:
m + 8 ≥ -8
Step-by-step explanation:
Answer:
m+8≥-8
Step-by-step explanation:
Just ask.
Hope this helps!
in the expression 3² + 5 · 3 what needs to be done first? exponents addition multiplication
Answer:
If you use the PEMDAS method, you can see that exponents should be done first.
Step-by-step explanation:
A cell phone company charges 30 per month plus 0.07 per minute if Mr franklin cell phone bill was 59.40 how many minutes did he talk for that month
Answer:
420 minutes
Step-by-step explanation:
first I subtracted 30 from 59.4 and got 29.4
then I divided 29.4 by .07 and got 420
so there you go hope it helped
what's the points distance I need help!
Answer:
Step-by-step explanation:
3.6
Plot the value(s) on the number line where this function is equal to zero: fx) = (x + 5)(x - 1).
Answer:
x = - 5, x = 1
Step-by-step explanation:
let f(x) = 0 , that is
(x + 5)(x - 1) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 1 = 0 ⇒ x = 1
Plot the points - 5 and 1 on the number line
Can the distributive property be used to rewrite
4x (6 - 3)?
Answer:
12x
Step-by-step explanation:
cuz i said so
Put the following equation of a line into slope-intercept form, simplifying all fractions. х - 6y = – 48 ASAP PLEASE
Answer:
y= 1/6x + 8
Step-by-step explanation:
[tex]\text{Given that,}\\\\x -6y = -48 \\\\\implies x +48 = 6y\\\\\implies y =\dfrac{x +48}6\\\\\implies y =\dfrac x6 + \dfrac{48} 6\\\\\implies y = \dfrac 16 x + 8\\\\\text{This is the slope-intercept form of the given equation(y =mx +b)}.[/tex]
Answer my question 4 u could get 10 points
Answer:
30
Step-by-step explanation:
Split the trapezoid into parts, a rectangle and a triangle. The dimensions of the rectangle will be 3 and 8, so 3*8=24. 24 is part of the answer. The dimensions of the triangle are 4 and 3, and 4*3/2 is 6, so 6 is the other part of the answer. 24 + 6 = 30.
Marking brainliest
Is it possible to change how people see themselves ?
Answer:
Yes it is possible.
You need to change your mindset first.
If you look in the mirror everyday and call yourself ugly. Theres no way you are going to change the way you are.
But if you look in the mirror and be positive about yourself evantually you will start thinking diffirent about yourself.
Its all in the mindset.
Step-by-step explanation:
Solve for y. -6y-31= 5 and thank you
[tex]-6y -31 =5\\\\\implies -6y = 5+31 = 36\\\\\implies y = -\dfrac{36}6 = -6[/tex]
Step-by-step explanation:
...........y=-6.........
A triangle has side lengths 7, 17, and x. Fill in the inequality for the possible
lengths of x below.
Answer:
9 < x < 25
Step-by-step explanation:
PLEASE ANSWER FAST....Which expressions have a value equal to or greater than 13?
I WILL MARK BRAINLIEST
Answer: D and B
Step-by-step explanation:
D: 10/10 can be simplified to 1/1, or 1. 1 times 13 is equal to 13.
B: 4 x 13 is simply 52.
Hope this helps!
A. 5/6 x 13 = 10.83
B. 4 x 13 = 52
C. 3/4 x 13 = 9.75
D. 10/10 (1) x 13 = 13
B. 4 x 13 & D. 10/10 (1) x 13 are your answers.
20 ÷ ____ = 5 need your help
Answer:
4
Step-by-step explanation:
are these lines perpendicular explain
Answer:
Yes because the slopes are negative reciprocals of each other.
Step-by-step explanation:
The slope of line B is: 1/3
(-2, -4) and (1, -3)
(-3+4)/(1+2) = 1/3
The slope of line A is: 3
(-3, 0) and (-2, -3)
(-3-0)/(-2+3) = -3
4(d-5)-6=2(8-d)-d what is d
Answer:
d = 6
Step-by-step explanation:
sorry for late awenser
The value of the equation is d = 6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
4 ( d - 5 ) - 6 = 2 ( 8 - d ) - d be equation (1)
On simplifying the equation , we get
4d - 20 - 6 = 16 - 2d - d
On further simplification , we get
4d - 26 = 16 - 3d
Adding 3d on both sides of the equation , we get
7d - 26 = 16
Adding 26 on both sides of the equation , we get
7d = 42
Divide by 7 on both sides of the equation , we get
d = 6
Therefore , the value of d is 6
Hence , the equation is d = 6
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Aisha bought 15 apples and oranges for $9. 0. Each orange costs $0. 50, and each apple costs $0. 65. Let x represent the number of oranges and y represent the number of apples. Which system can be used to find the number of apples and oranges Aisha bought? x y = 15. 0. 5 x 0. 65 y = 9. 00 x = y. 0. 5 x 0. 65 y = 9. 00 x y = 9. 0. 5 x 0. 65 y = 15. 00 x = y. 0. 5 x 0. 65 y = 15. 0.
Answer:
x + y = 15
0.5x + 0.65y = 9
Step-by-step explanation:
x = number of oranges
y = number of apples
total of apples and oranges is 15 so x + y = 15
total cost of apples and oranges is $9 so 0.5x + 0.65y = 9
Calculation
y = 15 - x
0.5x + 0.65(15-x) = 9
0.5x - 0.65x + 9.75 = 9
-0.15x = - 0.75
x = 5
y = 15 - x = 15 - 5 = 10