Answer:
[tex]\frac{8}{5}[/tex]
Step-by-step explanation:
The constant of direction variation givens a proportion that is maintained by both x and y values for all points of a line that it passes through.
Usually represented with the variable [tex]k[/tex], it is given by:
[tex]\frac{y}{x}=k[/tex] for coordinates (x, y).
This relationship can be written as [tex]y=kx[/tex] which is also the layout for a proportional relationship.
Since coordinates are written (x, y), for point (5, 8), substitute [tex]x=5, y=8[/tex] to get the constant of variation:
[tex]8=5k,\\k=\boxed{\frac{8}{5}}[/tex]
Answer:
8/5
Step-by-step explanation:
Given that y varies directly with x , therefore ,
[tex]\implies y \propto x[/tex]
Let k be the constant . Therefore ,
[tex]\implies y = k x[/tex]
When the point is (5,8) ,
[tex]\implies 8 = k * 5 \\\\\implies \underline{\underline{\boxed{ k =\dfrac{8}{5}}}}[/tex]
Hence the constant of variation is 8/5.
Solve |x - 5| = 7 ......
Answer:
12,-2
Step-by-step explanation:
Anelle is in charge of bringing in dry erase markers for everyone in her math group to use to work on a project. She brings 3 markers for each person in her group and 5 extra markers for everyone to share. If Janelle brings in 23 markers in all, which equation represents the information?
Answer:
3x + 5 = 23
Step-by-step explanation:
Let x represents the number of persons in her group.
Since she brings 3 markers for each person, then number of markers brought for persons in her group = 3x.
She brings 5 extra markers for each person to share.
Thus, total markers she brought is now;
3x + 5
She brought 23 markers in all.
Thus, equation that represents the information is;
3x + 5 = 23
which equation is represented by the table
Answer:
B. b = 3a + 2
Step-by-step explanation:
We can write the equation in slope-intercept form as b = ma + c, where,
m = slope/rate of change
c = y-intercept/initial value
✔️Find m using any two given pair of values, say (2, 8) and (4, 14):
Rate of change (m) = change in b/change in a
m = (14 - 8)/(4 - 2)
m = 6/2
m = 3
✔️Find c by substituting (a, b) = (2, 8) and m = 3 into b = ma + c. Thus:
8 = 3(2) + c
8 = 6 + c
8 - 6 = c
2 = c
c = 2
✔️Write the equation by substituting m = 3 and c = 2 into b = ma + c. Thus:
b = 3a + 2
Solve each system of equations by substitution. Clearly identify your solution.
Answer:
No solutions.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x + 1
2x - y = 3
Step 2: Solve for x
Substitution
Substitute in y [2nd Equation]: 2x - (2x + 1) = 3[Distributive Property] Distribute negative: 2x - 2x + 1 = 3Combine like terms: 1 ≠ 3Answer:
The system has no solution.
Step-by-step explanation:
y = 2x + 1
2x - y = 3
substitute the given value of y into the equation 2x - y = 3.2x - ( 2x +1) = 3
Distribute minus sign.2x - 2x + 1 = 3
Combine like terms.1 ≠ 3
Since system has no solution for x, the system has no solution.
How do you graph this ,helppppppppp
Add (1.3t3 + 0.4t2 – 24t) + (8 – 18t + 0.6t2) For each term in the second polynomial, enter the letter showing where that term should be placed to add the polynomials vertically.
Answer:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]
Step-by-step explanation:
Given
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]
Required
Solve
We have:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]
Collect like terms
[tex]1.3t^3 + 0.6t^2 + 0.4t^2 - 24t- 18t + 8[/tex]
[tex]1.3t^3 + t^2 -42t + 8[/tex]
So:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]
Answer:
look at pic
Step-by-step explanation:
Solve the inequality.
–13.4 ≥ 6.7 + 4.3 + w
–24.4 ≥ w
24.4 ≥ w
23.4 ≥ w
–23.4 ≥ w
Answer:
-24.4 ≥ w
Step-by-step explanation:
-13.4 ≥ 6.7 + 4.3 + w
-13.4 - 6.7 - 4.3 ≥ w
-24.4 ≥ w
what is the mesure of DBC?
Answer:
41
Step-by-step explanation:
If the quadratic formula is used to find the solution set of 3x + 4x-2 = 0, what are the solutions?
A park has a large circle painted in the middle of the playground area. The circle is divided into 4 equal sections, and each section is painted a different color. The radius of the circle is 10 meters. What is the area of each section of the circle
Answer:
The area of each section of the circle is 25\pi\ m^{2}25π m2
Step-by-step explanation:
we know that
The area of a circle is equal to
A=\pi r^{2}A=πr2
we have
r=10\ mr=10 m
substitute
A=\pi (10^{2})=100\pi\ m^{2}A=π(102)=100π m2
To find the area of each section divide the complete area of the circle by 44
so
100\pi\ m^{2}/4=25\pi\ m^{2}100π m2/4=25π m2
1. Write down the gradient of the line joining the points (2m, n) and (3, -4).
2.Find the value of n if the line is parallel to the X-axis
3.Find the value of m if the line is parallel to the Y-axis.
Answer:
Step-by-step explanation:
1 . ( n + 4 ) / ( 2m - 3 )
The gradient (slope) is
= ( change in y direction ) / ( change in x direction )
= ( n - (-4) ) / ( 2m - 3 )
= ( n + 4 ) / ( 2m - 3 )
2.
A line parallel to the x-axis will always have the equation of y = #. This is because all along that line, every value of x, y will still equal the same number. For example, a line parallel to the x-axis that crosses the y-axis at 2, will be y = 2. If it is in the negative range, it's the same concept, for example if it crossed the y-axis at -4, the equation would be y = -4.
Example - Computational Knowledge Engine
3.
To understand the slope of a line parallel to y axis, let us consider the figure given below.
1 . The gradient (slope) is ( n + 4 ) / ( 2m - 3 )
2. n = -4
3. m is not defined.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
points (2m, n) and (3, -4).
1 . The gradient (slope) is
= ( change in y direction ) / ( change in x direction )
= ( n - (-4) ) / ( 2m - 3 )
= ( n + 4 ) / ( 2m - 3 )
2. A line parallel to the x-axis will always have the equation of y = x.
The line is therefore horizontal so gradient = 0
(n+4) / (2m-3)= 0
n = -4
(iii) Find the value of m if the line is parallel to the y-axis
(n+4) / (2m-3)= gradient
(n+4) / (2m-3)= 1
We know n = -4 from part (ii) then
(-4+4) /(2m-3)= 1
0/(2m-3) = 1
0 = 1 The 'm' vanishes
Hence, m is not defined.
Learn more about slope here:
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hello there i have no clue how to graph this function, f (x) =3/2 (2) ^x
At a football stadium, 25% of the fans in the attendance were teenagers. If there were 190 teenagers at the football stadium, what was the total numbers of the people at the stadium?
Answer:
760
Step-by-step explanation:
25%= 190
100 = 25 × 4
100% (total number of people) = 190 × 4 = 760
GIVING BRAINLIEST ANSWER PLZ ';CCC
Answer:
slope= difference in y ÷difference in x
=y-y1÷x-x1
=-3-(-1)÷-3-1
=-3+1÷-3-1
=-2÷-4
=1/2
Step-by-step explanation:
hope this is helpful
Y2 -Y1 ÷ X2-X1
-1 - 1 ÷ -3 - -3= 0.5 or 1/2
Which of the following best describes the line of symmetry?
A. The line that is perpendicular to the design
B. The line that is parallel to the design
C. The line that divides the design into two similar parts
D. The line that divides the design into two congruent parts
Answer:
C the line that divides the design into two similar parts
The line of symmetry divides the design into two similar parts.
What is a line of symmetry?"The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. "
A line divides a design into two parts.
If the line is described as the line of symmetry, then the two parts that are divided by this line are similar parts.
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someone help me for this algebra task please
Answer:
The last one is the answer
Answer: For each hour that Michelle drove, she travelled an additional 50 miles.
Step-by-step explanation:
Test each option to see its accuracy
Calculate the slope:
[tex](x_{1}, y_{1}) = (7, 0)\\(x_{2}, y_{2}) = (0, 350)\\ \\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{350-0}{0-7} =\frac{350}{-7} =-50[/tex]
This means that Michelle drove 50 miles per hour.
The other three options are wrong because if you bring in:
x = 6x = 3into your function- y = -50x + 350, you would not get the stated miles.
The driving distance between Manchester and London is 195 miles. Farris wants to travel from Manchester to London on coach. The coach will leave Manchester at 3:30pm. Farris assumes the coach will travel at an average speed of 50mph. work out Farris's arrival time in London?
Answer:
7:24 pm
Step-by-step explanation:
speed = distance/time
time * speed = distance
time = distance/speed
time = (195 miles)/(50 miles/hour)
time = 3.9 hours
The trip will take 3.9 hours.
3 hours + 0.9 hours = 3 hours + 0.9 hours * 60 minutes/hour =
= 3 hours + 54 minutes
The trip will take 3 hours and 54 minutes.
3:30 pm + 3:54 = 6:84 pm = 7:24 pm
Answer: 7:24 pm
(c) The perimeter of a rectangle with length 2r cm and width 5 m is 14 m.
What is the effect on the graph f(x) = 1/x when it is transformed to g(x) = 1/x + 15?
Answer:
B
Step-by-step explanation:
It is shifted 15 units up. Think of how you're solving for y, and by adding 15 to the equation, y increases by 15. If y increases by 15 the graph shifts up by 15. Hope that helps.
A triangle is rotated 90 about the origin.Which rule describes the transformation?
Answer:
Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. ... Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure.
Answer:
Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 90° clockwise? Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure
Click on the photo! Needing help ASAP please!♥️
=============================================================
Explanation:
Choice B has the GCF x we can factor out like so
10x^4-5x^3+70x^2+3x = x(10x^3-5x^2+70x+3)
Showing that choice B is not prime. If a polynomial can be factored, then we consider it not prime. It's analogous to saying a number like 15 isn't prime because 15 = 3*5, ie 15 can be factored into something that doesn't involve 1 as a factor.
In contrast, we consider 7 prime because even though 7 = 1*7, there aren't any other ways to write this integer as a factorization if we don't involve 1.
-----------------------------------
Choice C is a similar story. This time we can factor out 3
3x^2 + 18y = 3(x^2 + 6y)
So we can rule this out as well.
-----------------------------------
Choice D is a bit tricky, but we can use the difference of cubes factoring rule
a^3 - b^3 = (a-b)(a^2+ab+b^2)
where in this case a = x and b = 3y^2
Note how b^3 = (3y^2)^3 = 3^3*(y^2)^3 = 27y^(2*3) = 27y^6
All of this means choice D can be factored and it's not prime either.
------------------------------------
We've ruled out choices B through D. The answer must be choice A.
If you let w = x^2, then w^2 = x^4
The polynomial w^2+20w-100 is prime because setting it equal to zero and solving for w leads to irrational solutions. I'm assuming your teacher wants you to factor over the rational numbers.
Because w^2+20w-100 can't be factored over the rational numbers, neither can x^4+20x^2-100. This confirms that choice A is prime.
Which inequality matches the graph?
X, Y graph. X range is negative 10 to 10, and y range is negative 10 to 10. Dotted line on graph has positive slope and runs through negative 3, negative 8 and 1, negative 2 and 9, 10. Above line is shaded.
−2x + 3y > 7
2x + 3y < 7
−3x + 2y > 7
3x − 2y < 7
Given:
The dotted boundary line passes through the points (-3,-8), (1,-2) and (9,10).
Above line is shaded.
To find:
The inequality for the given graph.
Solution:
Consider any two points on the line. Let the two points are (1,-2) and (9,10). So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-2)=\dfrac{10-(-2)}{9-1}(x-1)[/tex]
[tex]y+2=\dfrac{10+2}{8}(x-1)[/tex]
[tex]y+2=\dfrac{12}{8}(x-1)[/tex]
[tex]y+2=\dfrac{3}{2}(x-1)[/tex]
Multiply both sides by 2.
[tex]2(y+2)=3(x-1)[/tex]
[tex]2y+4=3x-3[/tex]
[tex]2y-3x=-3-4[/tex]
[tex]-3x+2y=-7[/tex]
Above line is shaded and the boundary line is a dotted line. So, the sign of inequality must be >.
[tex]-3x+2y>-7[/tex]
This inequality is not in the equations. So, multiply both sides by -1 and change the inequality sign.
[tex](-3x+2y)(-1)<-7(-1)[/tex]
[tex]3x-2y<7[/tex]
Therefore, the correct option is D.
Please answer the question that is attached below
Refer to the picture in the question for reference.
A statement-reason format is used to solve this problem. Statements are in normal print, reasons are bolded.
Statement Reason
1. AD = AE Given
<B = <C
2. <A = <A Reflexive Property
3. ΔABE = ΔACD Angle - Angle - Side
The given information refers to the information that is given with the problem.
The reflexive property states that if two polygons share a part (a side or an angle), then this part called in one of the polygons is congruent to itself in the other polygon.
Finally, the (angle-angle-side) congruence theorem states that if two triangles have two congruent angles and a congruent side between them, then the triangles as a whole are congruent to each other.
Does anyone know the answer?
Answer:
A
Step-by-step explanation:
A and B are the only answer choices that give you imaginary number outputs
But because the function in the answer choices is a negation of the original function they give different outputs, thus a different range
Therefore A is the correct answer
BRAINLIEST PLEASEEEEEEEE
Answer:
it is the first answer... has the same domain as the function
Step-by-step explanation:
the area of a rectangular bathroom mirror is 20 square feet. it is 2 feet tall. how wide is it?
Area = length x width
Fill in the given information
20 = 2 x width
Solve for width by dividing both sides by 2
Width =20/2
Width = 10 feet
Answer:
It is 10 feet wide
Step-by-step explanation:
The area of a rectangle is:
A = Length x width
So if we have the area, finding the width means diving the area by the given length.
In this case, the area of the rectangle is 20 square feet and the length is 2 feet:
20/2 = 10
Therefore the missing width is 10 feet
15 POINTS AND BRANLIEST!!!
y = ?x + ?
Answer:
y = -x - 6
Step-by-step explanation:
Parallel lines have same slope
y = -x + 9 {y = mx + c}
m = -1
(x₁, y₁) = (7 , -13)
Equation: y - y₁ = m(x -x₁)
y - [-13] = -1(x -7)
y+ 13 = -x + 7
y = - x + 7 - 13
y = -x - 6
Quadrilateral A B C D is shown. The uppercase right angle, angle A, is 79 degrees.
What are the remaining angle measures if the figure is to be a parallelogram?
m∠B =
°
m∠C =
°
m∠D =
°
Answer:
m∠B =
✔ 101
°
m∠C =
✔ 79
°
m∠D =
✔ 101
°
Step-by-step explanation:
Answer:
The answer above is right!
The correct answers are:
First box: option C. 101
Second box: option B. 79
Third box: option C. 101
Step-by-step explanation:
Just got it right on edge - Hope it helps :)
Brainliest would be greatly appreciated :D
What is the best description for the graph below
Answer:
B. The graph decreases everywhereStep-by-step explanation:
We see a graph going down as x-value increases.
It is not increasing (line shod go up) or constant (horizontal) graph..
Correct choice is B
Answer:
The graph decreases everywhere.
Step-by-step explanation:
As we view the graph, in the x - axis from 0 to 9 the line has came down (decreased). So, we can say that the graph decreases everywhere.
Given that (-1,-3) is on the graph of f(x), find the corresponding point for the function -3f(x).
Answer:
Step-by-step explanation:
(3,9)
Using the table below, what is the rate of change? Don't forget to include your units.
Number of sodas 24
28
32
36
Total Cost ($)
18
21
24
27
Answer:
0.75
Step-by-step explanation:
Given the table :
Number of sodas 24
28
32
36
Total Cost ($)
18
21
24
27
The rate of change :
Rate of change = Rise / Run
Rise = y2 - y1 ; Run = x2 - x1
From the table :
Take number of sodas as X - axis
Total cost as Y - axis
Taking the points :
(24, 18) ;(36, 27)
x1 = 24 ; x2 = 36
y1 = 18 ; y2 = 27
Rise = (y2 - y1) = (27 - 18) = 9
Run = (x2 - x1) = (36 - 24) = 12
Rate of change = 9 / 12 = 0.75
