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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simplify expression
3+2+y+y
Answer:
2y + 5
Step-by-step explanation:
I hope this helps!
Hey there!
3 + 2 + y + y
= 3 + 2 + 1y + 1y
COMBINE the LIKE TERMS
= (3 + 2) + (1y + 1y)
= 5 + 2y
= 2y + 5
Therefore, your answer is: 2y + 5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
1.3 ½ days=______hrs.
2.2400 mm=_______meter
3.1 hr and 20 min.=______seconds
4.100 kilograms=______grams
5.104 °C =_______°F
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.
(2x2 3+2)x(4x2 3-1/2)
Answer:
85.5
Step-by-step explanation:
Answer:
(2*2 3+2) * (4*2 3-1/2)
(4*5) * (8*3-0.5) = (8*2.5)
20*200
4000
make r the subject of the formula
Answer:
r=[tex]\frac{3t}{t-1}[/tex]
Step-by-step explanation:
t(r-3)=r
tr-3t=r
tr-r=3t
r(t-1)=3t
r=[tex]\frac{3t}{t-1}[/tex]
On New Year’s Day 2021, your uncle put $3 dollars in his safe for you that he says will grow exponentially until you decide to take it out. If you take the money out on New Year’s Day 2023, the money will have grown to $18.75. You decide that you will ask for the money on New Year’s Day 2031. How much money will you receive then?
if 18.75 - 3 = 15.75
if every 2 years you get 15.75
if from 2023 to 2031 is 8 years
then 8 divided by 2 = 4
so 15.75 * 4 = 63
then the answer is 63
Solve for x.
1/3 x+4=-2/3 x+12
Answer:
x = 8
Step-by-step explanation:
1. Group all x terms on the left side of the equation
1/3· x+4=-2/3·x+12
Add 2/3x to both sides:
1/3x+4+2/3·x=-2/3x+12+2/3·x
Group like terms:
1/3·x+2/3·x+4=-2/3·x+12+2/3·x
Combine the fractions:
1+2/3·x+4=-2/3·x+12+2/3·x
Combine the numerators:
3/3·x+4=-2/3·x+12+2/3·x
Find the greatest common factor of the numerator and denominator:
1·3/1·3·x+4=-2/3·x+12+2/3·x
Factor out and cancel the greatest common factor:
1x+4=-2/3·x+12+2/3·x
Simplify the left side:
x+4=-2/3·x+12+2/3·x
Group like terms:
x+4=-2/3·x+2/3·x+12
Combine the fractions:
x+4=-2+2/3·x+12
Combine the numerators:
x+4=0/3·x+12
Reduce the zero numerator:
x+4=0x+12
Simplify the arithmetic:
x+4=12
2. Group all constants on the right side of the equation
Subtract 4 from both sides:
x+4-4=12-4
Simplify the arithmetic:
x=12-4
Simplify the arithmetic:
x=8
Answer:
x=8
Step-by-step explanation:
1/3x +4= -2/3 +12
Subtract 4 from both sides: 1/3x + 4-4 = -2/3x + 12 -4
Simplify: 1/3x = 2/3x + 8
Add 2/3x to both sides: 1/3x + 2/3x = -2/3x + 8 + 2/3x
Simplify: x=8
where is the √ 125 on a number line
Answer:
im 11 and
Step-by-step explanation:
i just need points i have -32
I really need the answer to this
=============================================
Explanation:
Let point N be at the intersection of the horizontal line and segment JM.
We can prove the right triangles JNK and MNK are congruent using the hypotenuse leg (HL) rule. This in turn means JN = NM through the use of CPCTC.
In other words, JN = NM because the horizontal line is the perpendicular bisector of JM.
So,
JM = JN + NM
JM = NM + NM
JM = 2*NM
JM = 2*7.1
JM = 14.2
Answer:
JM = 14.2
Step-by-step explanation:
Given JK = MK then Δ JKM is isosceles.
The line through K is a perpendicular bisector of JM , so
JM = 2 × 7.1 = 14.2
ABCD is a square of side 4cm. In each of the following loci, the point p moves only inside the square. Sketch the locus in each case. AP=BP
The sketch of the locus AP = BP shows an equal distance between AP and BP which can be seen in the image attached below.
A square is a plane figure that has four sides with each side adjacent to each other and they make a right angle of 90° to one another.
A locus is a point that satisfies a constraint on the square of the distances between two lines.
The sketch of the locus AP = BP given an intersection between lines A and B and that intersection is point P.
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110 divided by 4 using area model.
The quotient of 110 divided by 4 is 27 with a remainder of 2.
To solve 110 divided by 4 using the area model, we can represent the division problem visually by creating an area model.
Draw a rectangle to represent 110.
Divide the rectangle into four equal parts to represent dividing by 4.
Distribute the value of 110 evenly across the four parts. Since 110 is not divisible evenly by 4, distribute as much as possible to each part.
Determine the quotient. Count the number of equal parts, which in this case is 27.
Therefore, the quotient of 110 divided by 4 is 27 with a remainder of 2.
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A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3. 5 and a height of 8. The frustum has a height of 11 and a radius of 7. 5. Which expression represents the volume, in cubic units, of the frustum? One-thirdĎ€(7. 52)(11) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(11) One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) One-thirdĎ€(3. 52)(8).
The expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]
The formula for calculating the volume of a cone is expressed as:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
r is the base radius of the coneh is the height of the coneThe volume of the frustum will be expressed as:
Vf = Volume of the larger cone - Volume of the smaller cone
The volume of the larger cone = [tex]\frac{1}{3} \pi (7.5)^2(11+8)\\[/tex]
The volume of the larger cone = [tex]\frac{1}{3} \pi (7.5)^2(19)\\[/tex]The volume of the smaller cone = [tex]\frac{1}{3} \pi (3.5)^2(8)\\[/tex]Taking the difference in volume:
Volume of the frustum = [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex]
Therefore the expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]
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choose the unit that measures distance
A. Feet
B. Pounds
C. Ounces
D. A.M
Answer:
Feet
Step-by-step explanation:
What is the probability of getting a number less than 4 and then roiling a 4?
well there is -4 which is the oppsite of positive 4 if that what you ment
5 meals cost 20 how much would 15 meals be
Answer:
15 meals would be $60
Step-by-step explanation:
15 ÷ 5 = 3
1. 5 = 20
2. 5 = 20
3. 5 = 20
15 = 60
Hope this helps! :)
6. Michelle got a new job through the McCartney Employment Agency. The job pays $49,400 per year, and the agency fee is equal to 35% of one month's pay. How much must Michelle pay the agency?
Answer:
$4, 116.66 times 35%=1,440.83 is the answer.
Step by step equation:
The agency fee is 35% of one months payment ($4,116.66) or ($1,440.83)
all you had to do is 49,400 divided by 12 months and you get $4,116.66 and then you times that by 35% and you get $1,440.83
Parallel lines : mastery test
Answer:
I can't see much so take one more than I can help
Write an equation of the line that passes through (4, -5) and is perpendicular to
the line y = 2x +3
Hello there!
We are given the equation of the line
y=2x+3
What's the equation of the line perpendicular to it?
Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, make it negative, and flop it over.The slope of the line perpendicular to the given line is -1/2.Now that we have the slope of the line and a point that the line passes through, we can find the equation of the line.Write it in Point-Slope form:y-y1=m(x-x1)y-(-5)=-1/2(x-4)y+5=-1/2(x-4)y+5=-1/2x+2y=-1/2x+2-5y=-1/2x-3Therefore, this is the equation. Hope it helps. Good luck.
To clarify any doubts, use the comment section.
Answered by
~A lonely teen who helps others joyfully
-Grace
i need the answr for 3+x=10 please explain as well
Answer:
7
Step-by-step explanation:
basically just subtract 10-3=7 then to check 3+7=10
Answer:
x = 7
Step-by-step explanation:
3 + x = 10
-3 -3
x = 7
you subtract by 3 on both sides (because the opposite property of addition is subtraction) to cancel it out and isolate the x.
3xy divide 18 ,
x=
Y=
What is the estimated difference between 7 6/11−5 13/15?
NO LINK OR FILESSSS PLZZZZZZZZZZZZ
Answer:
1 1/2
Step-by-step explanation:
7 6/11 is close to 7 1/2
5 13/15 is close to 6
7 1/2 - 6 = 1 1/2
1–5 change the following improper fractions to mixed number.
6–10 change the following mixed numbers to improper fraction.
PLEASE PLEASE HELP
ME!!!
Can i get some help :
Answer:
the second
Step-by-step explanation:
Answer:
0.9 + n = 5.2
Step-by-step explanation:
evaluate –3(–5)(–1)(3)
Answer:
-45
Step-by-step explanation:
I think one way you could do it is:
1. –3(–5) = 15
2. (–1)(3) = -3
3. (15) (-3) = -45
I used a calculator pls let me know if im incorrect
A 2-pack of light bulbs costs $0.73. What is the unit price, rounded to the nearest cent?
Answer:
37 cents.
Step-by-step explanation:
Two lightbulbs sell for 73¢, meaning one lightbulb sells for 36.5¢ (73/2), or "unit price" (the price for one of something). Rounded to nearest cent at 37¢.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
36.1 in.
Step-by-step explanation:
1:19 , 1.9in.
1.9 * 19
which equals 36.1 in.
(HOpe This hElps:)
If correct plz give brainliest ; )
7
Which of the following representions are functions?
2
I. {(0,9), (3, 12), (-5, 10), (5, 10)}
II. y = x2 + 10
Х
10
-1
10
8
-2
III.
y
5
8
-5
-9
-4
O Tonly
+
O II only
o I and II only
O I, II, and III
Answer:
1,11,111 I don't know how I know it I just know it
HELP ASAP!
The girls soccer team is trying to raise atleast $600 to pay for new uniforms. They have already raised $240 and are holding a car wash to raise the rest of the money. If they charge $8 per car at the car wash, how many cars will it take to raise the rest of the money for the new uniforms? Choose the inequality that beat represents the real-world situation.
Answer:
It will take at least 45 cars
Step-by-step explanation:
so to start subtract 240 from 600
you get 360 then divide 8
this leaves you with 45
What is the degree of polynomial?
With example!
Answer:
[tex]\boxed{\mathfrak{Question ~}}[/tex]
What is the degree of polynomial?
[tex]\large\boxed{\mathfrak{Answer}}[/tex]
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.
Example:
[tex] {6x}^{4} + {2x}^{3} + 3[/tex]
4x The Degree is 1 (a variable without an
exponent actually has an exponent of 1)
More Examples:
4x^ − x + 3 The Degree is 3 (largest exponent of x)
x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)
z^2 − z + 3 The Degree is 2 (largest exponent of z)
A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.
3 is a polynomial of degree 0.
Answer:
The degree of a monomial is the sum of the exponents of all its variables.
Example 1:
The degree of the monomial [tex]7y {}^{3} {z}^{2} [/tex] is 5(=3+2)5(=3+2) .
Example 2:
The degree of the monomial 7x is 11 (since the power of x is 11 ).
Example 3:
The degree of the monomial 66 is 0 (constants have degree 0 ).
The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)