The correct statements regarding the linear function in the graph are:
The three points form a straight line.The graph does not pass through the origin.The graph does not a show a proportional relationship.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.From the points, we have that:
When x changes by 4, y changes by 6.When x changes by 6, y changes by 9.When x changes by 2, y changes by 3.Hence these points form a straight line with a slope of 1.5, that is:
y = 1.5x + b.
When x = 1, y = 3, hence we use it to find b as follows:
3 = 1.5 + b
b = 1.5.
Hence the relation is:
y = 1.5x + 1.5.
Since the y-intercept is different of 0, we have that:
The graph does not pass through the origin.The graph does not a show a proportional relationship.More can be learned about linear functions at https://brainly.com/question/24808124
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All my points please help! Given a unit circle, what is the value for y?
the value of y for the given circle will be 1 / 50 ( approx).
We are given a unit circle.
So, we get that:
centre = (0, 0)
Equation of the circle will be
x² + y² = 1
Now, we have a point (- 17 / 20, y)
Substituting the values in the equation, we get that:
(- 17 / 20)² + y² = 1
343 / 400 + y² = 1
y² = 57 / 400
y = 1 / 50 ( approx)
Therefore, we get that, the value of y for the given circle will be 1 / 50 ( approx).
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Answer: top one is 111 dont know bottom
Step-by-step explanation:
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A container has 4 3/5 L of water. 1 7/10 is needed to fill it to full capacity what is the capacity of the container in liters. Please helppp!!!!
The capacity of the given container is 6.3 liters.
What are Mathematical operations?This term refers to a mathematical operation (such as differentiation or multiplication by a constant) where the action on the sum of two functions is equal to the sum of the actions of the operation on each function, following the same logic as the principle of superposition.So, 4(3/5) + 1(7/10):
4(3/5) + 1(7/10)20+3/5 + 10+7/1023/5 + 17/10Take LCM: 102(23) + 17/1046 + 17/1063/106.3 litersTherefore, the capacity of the given container is 6.3 liters.
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Select all the expressions equivalent to (81)3/5
((81)1/5)3
0 ((81)1/3)5
((81)1/3)5
((81)5)1/3
3(81)5
5(81)³
-21-17+25+65=52 please help right now thank you!
According to the solving the LHS = RHS this shows the equality symmetric property.
52 = 52.
What is the difference between LHS and RHS?LHS is an informal shorthand again for the left-hand side of the an equation in mathematics. Likewise, RHS refers to the right-hand side. Because equality is symmetric, both sides share the same value, expressed differently.
What is the idea of equality?Given the "equality" (=) relation and a = b, if b = a holds true for all a and b, equality is said to be symmetric. For all of a and b, the assertion is TRUE (no counterexample can be found). This is known as the equality symmetric property.
According to the given data:-21-17+25+65=52
Proving that both LHS = RHS :
-21-17+25+65=52
-21-17+25+65=52
- 38 + 90 = 52
52 = 52
So,
LHS = RHS
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Dosage 2 tablets, 4x per day 26 tablets per bottle
Online Algebra If the area of a rectangle with width x can be represented with the expression A(x) = x(14-x), what is the perimeter of the rectangle? O A 28 B 56 C 56-4x Te D 4x+28
14 is the perimeter of the rectangle .
What does a rectangular 's perimeter mean?
Considering that the polygon's perimeter is equal to the sum of its sides. As a result, the perimeter (P) of a rectangle is given by P = the total of its four sides. P = a + b + a + b (Opposite sides of rectangle are equal).The answer provided below has been developed in a clear step by step manner.
Step: 1
Given, A(x) = x(14-x)
Comparing with A = lw , we have
Length , l = x and
Width , w = 14 - x
Step: 2
We know,
Perimeter of rectangle ,
p = 2( l + w )
p = 2 ( x + 14 - x )
p = 28
Hence,
Perimeter of rectangle = 14
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big stonez post the lyrics for brainliest
If m/MSN = 106°, then what is m/MSP?
M
R/1
3/2
4
15
The measure of m∠MSP as represented in the image attached is 74 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right angle.
From the image shown:
m∠MSN + m∠MSP = 180° (sum of angles in a straight line)
106 + m∠MSP = 180°
m∠MSP = 74°
The measure of m∠MSP as represented in the image attached is 74 degrees.
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The selling price of an item is480 $. It is marked down by 10%, but this sale price is still marked up from the cost of $360. Find the markup from cost to sale price
Answer: $72
Step-by-step explanation:
Oddly worded question but if I understand it correctly we need to find the marked down price and subtract $360 from it.
It is 10% off so an easy way to do the math is to find what 90% of $480 dollars is.
.90 * 480 = $432
Then we subtract $360 from this sale price.
$432 - $360 = $72
Solve -3.5 = x/4 for x using the multiplication property of equality. The operation in the problem is
The operation used in the problem is Multiplication property of equality and the value of x is -14
Property of equality-3.5 = x/4
cross Multiplication- 3.5 × 4 = x
-14 = x
Check:
-3.5 = x/4
- 3.5 = -14 / 4
-3.5 = -3.5
Therefore, the operation used in the problem is Multiplication property of equality and the value of x is -14
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1.83 * 47
help need in the next 3 hours
Answer:
if you want to multiply its 1.83 x 47 = 86.01
Step-by-step explanation:
If AB = 12 and BC = 3, what is AC?
Answer: AC=15
Step-by-step explanation:
AC=AB+BC
AC=12+3
AC=15
Answer:
[tex]\frac{36}{B^2}[/tex]
Step-by-step explanation:
Given:
[tex]AB=12\\BC=3[/tex]
Find:
[tex]AC[/tex]
First, arrange equation 1 to isolate A by dividing both sides by B:
[tex]AB=12\\A=\frac{12}{B}[/tex]
Then, arrange equation 2 to isolate C by dividing both sides by B:
[tex]BC=3\\C=\frac{3}{B}[/tex]
Now, multiply A and C together and simplify:
[tex]AC=\frac{12}{B}*\frac{3}{B}[/tex]
[tex]AC=\frac{36}{B^2}[/tex]
what do i write in the blank and how do i solve
Answer:
I know that the inequality is 85-4x<40
but im not sure on how to solve it, i think the answer is 12
becuase
85-4(12)< 40
85-48<40
37<40
Step-by-step explanation:
Answer: 85 - 4x < 40; 11
Step-by-step explanation:
85 - 4x < 40
-85 -85
- 4x < -45
[When dividing a negative number, change the inequality sign to the opposite sign.]
x > 11.25
The the cars was integer, and x is greater than 11.25, therefore, Mr.Schwantz will need to order more wheels after building 11 cars.
| (6-x)-9 |
absolute value and i need help solving. do i just combine and make it -3-x? (this problem came from a fog education.
This simplifies to
[tex]|(6-x)-9|\\\\\boxed{|-x-3|}[/tex]
Which expression is equivalent to
A:4x
B:4x+4
C:x^2+7x+10
D:-x^2-5x-6
Answer:
A
Step-by-step explanation:
x + 2 + [ 4x - [tex]\frac{x^2+6x+8}{x+4}[/tex] ] ← factorise the quadratic on the numerator
= x + 2 + [ 4x - [tex]\frac{(x+4)(x+2)}{x+4}[/tex] ] ← cancel (x + 4) on numerator/denominator
= x + 2 + (4x - (x + 2)
= x + 2 + 4x - x - 2 ← collect like terms
= 4x
How do you find the quotient of 45/9
The quotient of the given fraction 45/9 is 5.
What is division?The division is one of the four basic operations of arithmetic, which are the methods by which numbers are combined to form new numbers. Addition, subtraction, and multiplication are the other operations.At the most basic level, the division of two natural numbers is the process of calculating the number of times one number is contained within another.Quotient:
A quotient is a quantity produced by the division of two numbers in arithmetic. The quotient is widely used in mathematics and is also known as the integer part of a division, a fraction, or a ratio.So, the quotient of 45/9 is 5 as:
45 ÷ 9 = 5
(Refer to the picture given below for working)
Therefore, the quotient of the given fraction is 5.
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A design for a library has a scale of 1/3 in= 1ft. The height of the library in the drawing is 12 inches. What is the
actual height of the library?
A library's design is scaled at [tex]\frac{1}{3}[/tex] inch = 1 feet. The library in the drawing is 12 inches height. The library's true height is 432 inches, or 36 feet.
Given that,
A library's design is scaled at [tex]\frac{1}{3}[/tex] inch = 1 feet.
The library in the drawing is 12 inches height.
We can take [tex]\frac{1}{3}[/tex] inch = 1 feet
1 inch=3 feet = 36 inches.
36 inches is the actual height .
Now actual height of the library is
Multiplication of the height of the library in the drawing is 12 inches and the new height 36 inches.
12[tex]\times[/tex]36=432 inches
We can say 432 inches is equal to 36 feet.
Therefore, 432 inches or 36 feet is the actual height of the library.
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PLEASE SHOW HOW YOU GOT YOUR ANSWER!
What is 2 1/2 ÷ 1/2?
A. 3 1/2
B. 7 1/2
C. 7 1/6
D. 2/15
Answer:
Turn the 2 1/2 into the improper fraction which is 5/2. Now you can do 5/2 divided by 1/2. when diving turns the 1/2 to 2/1 and multiply. so 5/2 x 2/1= 1.25. 1.25 as a fraction is 1 1/4
help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
f(x) = 4x + 15
6x - 3
if x = -1 (replace x with -1 )
f(-1) = 4(-1) + 15
6(-1) -3
= -4 + 15
-6 -3
= -11
-9
"minus cancel each other when dividing"
Answer = 11
9 or 1.22
Hope this helps ...:-)
A circle has a diameter with endpoints
at A (-3, -12) and B(-7, 4). The point
M(-5, -4) lies on the diameter
What is the distance from A to M (Round to 2 decimal place
What is the distance from B to M (Round to 2 decimal places)
The measure of AM and BM from the given coordinate points are 8.37 units respectively
Distance between coordinatesThe formula for calculating the distance between coordinate points is expressed according to the equation
D = √(x₂-x₁)²+(y₂-y₁)²
Given the coordinate points A (-3, -12) and M(-5, -4). The measure of the distance AM is expressed as:
AM = √(-4+12)²+(-5+3)²
AM = √(8)²+(-2)²
AM = √70
AM = 8.37 units
Similarly;
Given the coordinate points B(-7, 4). and M(-5, -4). The measure of the distance AM is expressed as:
BM = √(-4-4)²+(-5+7)²
BM = √(-8)²+(2)²
BM = √70
BM = 8.37 units
Hence the measure of AM and BM from the given coordinate points are 8.37 units respectively
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The length of a certain rectangle is 10m greater than twice its width. If the width were reduced by 20m and the length increased by 100m, the perimeter of the new rectangle would be twice the perimeter of the original rectangle. What are the dimensions of the original rectangle?
The dimensions of the original rectangle is a length of 56.66 meter and width of 23.33 meter.
What is perimeter?Perimeter is the sum of all the sides of a two dimensional polygon or shape.
For first rectangle let x represent width:
Length = 2x + 10; width = x
Perimeter = 2(length + width)
Perimeter = 2(2x + 10 + x) = 6x + 20
For second rectangle:
Length = 2x + 10 + 100 = 2x + 110; width = x - 20
Perimeter = 2(length + width)
Perimeter = 2(2x + 110 + x - 20) = 6x + 180
the perimeter of the new rectangle would be twice the perimeter of the original rectangle. Hence:
6x + 180 = 2(6x + 20)
x = 23.33 m, length = 2x + 10 = 56.66
The dimensions of the original rectangle is a length of 56.66 meter and width of 23.33 meter.
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f(1)=30,f(n)=2xf(n-1)-50
Answer: f(0)=40/x
Step-by-step explanation:
f(n)=2xf(n-1)-50
f(1)=2xf(1-1)-50
f(1)=2xf(0)-50
30=2xf(0)-50
2xf(0)=80
f(0)=80/(2x)
f(0)=40/x
When an automobile travels uphill or downhill on a highway, it experiences a force due to gravity. This force in pounds is called grade resistance and is modeled by the equation below, where theta is the grade and W is the weight of the automobile.
F = Wsin theta
A 2710-lb car traveling uphill has a grade resistance of 160 lb. What is the angle of the grade?
theta =__.
(Type your answer in degrees. Round to the nearest hundredth as needed.)
Based on the calculations, the angle (θ) of the grade to the nearest hundredth is equal to 3.38 degrees.
What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
In Science, grade resistance simply refers to force in pounds and can be modeled by the following equation:
F = Wsinθ
Where:
F represents the grade resistance or force in pounds.θ represents the grade W represents the weight of a physical object.Making theta (θ) the subject of formula, we have:
θ = sin⁻¹(F/W)
Substituting the given parameters into the formula, we have;
θ = sin⁻¹(160/2710)
θ = sin⁻¹(0.0590)
Theta, θ = 3.38 degrees.
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Determine which integer will make the equation true.
3x + 9 = 24
S = {3, 4, 5, 6}
A: 3
B: 4
C: 5
D: 6
Answer:
c) 5
Step-by-step explanation:
Solving for the value of x,
→ 3x + 9 = 24
→ 3x = 24 - 9
→ x = 15/3
→ [ x = 5 ]
Hence, option (c) is correct.
In the lab, Lena has two solutions that contain alcohol and is mixing them with each other. She uses 400 milliliters less of Solution A than Solution B.
Solution A is 20% alcohol and Solution B is 17% alcohol. How many milliliters of Solution B does she use, if the resulting mixture has 179 milliliters of
pure alcohol?
Answer:
700 mL
Step-by-step explanation:
Lena wants to know how much of solution B she uses to obtain a mixture of solution A with 20% alcohol and solution B with 17% alcohol that contains 400 mL less of solution A, and has 179 mL of alcohol in it.
SetupLet b represent the number of mL of solution B in the mixture. Then (b-400) will be the number of mL of solution A. The number of mL of alcohol in the mix is ...
0.20(b -400) +0.17b = 179
SolutionSimplifying the equation gives ...
0.37b -80 = 179
0.37b = 259 . . . . . . add 80
b = 700 . . . . . . . . divide by 0.37
Lena uses 700 mL of solution B (17%) for the resulting mixture to have 179 mL of pure alcohol.
__
Additional comment
That means there will be 300 mL of solution A, and the contributions from each solution are ...
0.20×300 mL = 60 mL . . . . from solution A0.17×700 mL = 119 mL . . . . from solution Btotal alcohol = 60+119 = 179 mLBetween which two integers is the value of 11
The two integers where the value of square root of 11 lies is between 3 and 4.
How to calculate the value?It should be noted that the information is to find the two integers where the value of square root of 11 lies.
It should be noted that the square root of 11 is 3.33.
It should be noted that 3.33 lies between 3 and 4.
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Between which two integers is the value of square root of 11.
please help if know how to solve
Answer: 12x+17
Step-by-step explanation:
(hog)(x)=
h(g(x))=
h(4x+5)=
3(4x+5)+2=
12x+15+2=12x+17
Answer:
honestly, I don’t think I’m right
Step-by-step explanation:
What are the solutions to the equation x-7/x=6?
x=-7 and x=1
x=-6 and x=-1
x=-1 and x=7
x=1 and x=6
Answer:
x=7
7-7/7-6=0
0/1=0
Zero divided by anything=0
Can someone help me with this question? It's due tomorrow :(
Answer:1,3
Step-by-step explanation: it is reflecting over the x-axis, not the y-axis. when answering these questions, keep in my what axis you're working with. hope this helps.
Explore and describe the similarities, differences, and interplay between weighted voting, fair division and apportionment.
Weighted vote is the policy of law-making where each representative has a variable voting power.
How to illustrate the information?A policy- or law-making body may use weighted voting, where each representative has a variable voting power (weighted vote) based on the number of principals who have designated them as their proxy or the size of the electorate they represent.
The challenge of distributing resources fairly among a group of individuals is to ensure that each person is given their fair share. This is fair division.
Representatives are apportioned among the states in order to create a fair split or distribution. This is apportionment.
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