The linear equation is y = (2/3)*x - 5, and the 4 points in the graph are:
{ (-1, -17/3), (0, -5), (1, -13/3), (2, -11/3)}
How to identify the points on the line?A linear equation written in the slope-intercept form is:
y = a*x + b
Where a is the slope and b is the y-intercept.
In this case, we have:
a = 2/3
b = -5
So our line is:
y = (2/3)*x - 5
To find the points, we need to evaluate the line in 4 different values of x.
We will use: x = -1, 0, 1, 2.
for x = -1 we have:
y = (2/3)*-1 - 5 = -2/3 - 5 = -17/3
So this gives the point (-1, -17/3).
for x = 0 we have:
y = (2/3)*0 - 5 = -5
So this gives the point (0, -5).
for x = 1 we have:
y = (2/3)*1 - 5 = -13/3
So this gives the point (1, -13/3).
for x = 2 we have:
y = (2/3)*2 - 5 = 4/3 - 15/3 = -11/3
So this gives the point (2, -11/3).
Then the 4 points are:
{ (-1, -17/3), (0, -5), (1, -13/3), (2, -11/3)}
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What does it mean that stocks and bonds are relatively liquid?
a. They are easier to buy and sell than other forms of investment.
b. They tend to go up and down in value.
C. The amount of income they can bring changes frequently
d. There are more of them to choose from than other forms of investment
Answer:
Answer A
Step-by-step explanation:
Normally, there is a large market of buyers and sellers for stocks and bonds. This means that you can buy and sell relatively easily. They are called "liquid assets" for the same reason.
Need steps with the answer and fast as possible. i will grant you 50 points literally Meena's mother is four times as old as meena. after 5 years,her mother will be three times as old as she will be then. whats their present ages
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-Meena mother is 4 times as old as Meena After 5 years, Her mother will be 3 times as old as she will be then. To Find :-We have to find the present ages of Meena and her mother. Let's Begin :-Let the present age of Meena be ' x ' years.
Now, It is given in the question that her mother is 4 times as old as MeenaThat means,
Present age of her mother
[tex]\sf{ = 4x \: years }[/tex]
Now,
After 5 years
The age of the Meena will be
[tex]\sf{ = x + 5 \: years }[/tex]
Therefore,
According to given condition,
The age of her mother will be
= [tex]\sf{ = 4x + 5 \: years ...eq(1)}[/tex]
But, It is given that,
After 5 years, Her mother will be 3 times as old as Meena.That is,
After 5 years, Her mother age will be
[tex]\sf{ = 3(x + 5) \: years ...eq(2)}[/tex]
From eq(1) and (2) :-
[tex]\sf{ 4x + 5 = 3(x + 5) }[/tex]
[tex]\sf{ 4x + 5 = 3x + 15}[/tex]
[tex]\sf{ 4x - 3x = 15 - 5 }[/tex]
[tex]\sf{ x = 10 \: years }[/tex]
Thus, The present age of the Meena will be 10 years.
Therefore,
The present age of her mother will be
[tex]\sf{ 4x = 4 × 10 }[/tex]
[tex]\sf{ = 40 \: years }[/tex]
Hence, The present of Meena and her mother is 10 years and 40 years.
98n+78x^2(9)n−36x simplify
[tex]98n + 78 {x}^{2} (9)n - 36x[/tex]
to find:the simplest form.
solution:[tex]98n + 78 {x}^{2} (9)n - 36x[/tex]
[tex] = 98n + 702 {nx}^{2} + - 36x[/tex]
[tex] = 702 {nx}^{2} + 98n - 36x[/tex]
F is directly proportional to a. If F=36 when a=9 , find F when a=4
Step-by-step explanation:
f=ka
36=9k
k=4
f=4×4
f=16
Helppppp fastttt !!! Pleaseeee and tyyyyy
Answer:
x ≤ -4
Step-by-step explanation:
-7x + 13 ≥ 41
Rearrange the terms
-7x ≥ 41 - 13
Calculate
-7x ≥ 28
Divide both sides
x ≤ -28/7
Simplify
x ≤ -4
HOPE THIS HELPS AND HAVE A NICE DAY <3
The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).
To determine if it is a parallelogram, use the converse of the parallelogram diagonal theorem. This states that if the diagonals
, then the quadrilateral is a parallelogram.
The midpoint of HJ is
and the midpoint of IK is (2, 2).
Therefore, HIJK is a parallelogram because the diagonals
, which means they bisect each other.
Check the picture below.
well, HIJK is a parallelogram only if its diagonals bisect each other, if that's so, the midpoint of HJ is the same as the midpoint of IK, let's check
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ H(\stackrel{x_1}{0}~,~\stackrel{y_1}{5})\qquad J(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 4 + 0}{2}~~~ ,~~~ \cfrac{ -1 + 5}{2} \right)\implies \left( \cfrac{4}{2}~~,~~\cfrac{4}{2} \right)\implies \boxed{(2~~,~~2)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ I(\stackrel{x_1}{3}~,~\stackrel{y_1}{3})\qquad K(\stackrel{x_2}{1}~,~\stackrel{y_2}{1}) ~\hfill \left(\cfrac{ 1 + 3}{2}~~~ ,~~~ \cfrac{ 1 + 3}{2} \right)\implies \boxed{(2~~,~~2)}[/tex]
Answer:
1. bisect each other 2. (2,2) 3. have the saem midpoint
Step-by-step explanation:
The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).
To determine if it is a parallelogram, use the converse of the parallelogram diagonal theorem. This states that if the diagonals
✔ bisect each other
, then the quadrilateral is a parallelogram.
The midpoint of HJ is
✔ (2, 2)
and the midpoint of IK is (2, 2).
Therefore, HIJK is a parallelogram because the diagonals
✔ have the same midpoint
, which means they bisect each other.
I WILL GIVE YOU BRANILEST!
This is a really important question that I need to know before 1! Please explain your answer! PLEASE EXPLAIN!
What is the length of the line segment?
Answer:
[tex]l(\overline {AB})\approx9.22\: units[/tex]
Step-by-step explanation:
A = (-2, -3), B = (-8, 4) (Given)[tex]\implies x_1= -2,\: y_1=-3,\: x_2=-8,\: y_2= 4[/tex]By distance formula length of segment AB can be given as:[tex]l(\overline {AB})=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex][tex]l(\overline {AB})=\sqrt{[-8-(-2)]^2 +[4-(-3)]^2}[/tex][tex]l(\overline {AB})=\sqrt{[-8+2]^2 +[4+3]^2}[/tex][tex]l(\overline {AB})=\sqrt{[-6]^2 +[7]^2}[/tex][tex]l(\overline {AB})=\sqrt{36 +49}[/tex][tex]l(\overline {AB})=\sqrt{85}[/tex][tex]l(\overline {AB})=9.21954446\: units[/tex][tex]l(\overline {AB})\approx9.22\: units[/tex]Can somebody help me with this question?
Answer:
D. tanθ = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Trigonometric applied here :
tanθ = 1/cotθ
=============================================================
In Quadrant III, all values of tan and cot are positive.
⇒ tanθ = 1/(3/4)
⇒ tanθ = 4/3
find the value of x in each of the following
2x/3=8
Answer:
The value of x is 12.
Step-by-step explanation:
I took extra ciricular math classes in high school, So I am a pro at equations
artem is inviting 3 friends each friend wants 8 cookies and each box has 4 cookies how many boxes should artem get
Answer:
6 boxes
Step-by-step explanation:
2 boxes for each friend
:)
Answer:
So there's Artem and his 3 friends so thats 4 people and everyone wants 8 cookies each box has 4 cookies so he would buy 32 boxes.
Step-by-step explanation:
PLEASE HELP I NEED TO GET DONE IN 10 MINUTES!!
The marbles below (with colors green, orange, red, pink, and blue) are placed into a bag and mixed up. Kevin is asked to pick a marble from the bag without looking. What is the probability that he will not choose a green or a red marble?
Answer:
11 over 20
Step-by-step explanation:
There are 20 altogether and 9 are green and red 20 - 9 = 11
50 cm = _____ km
1000 g = _____ cg
Answer:
0.0005 and 100000
Step-by-step explanation:
solve them in the answer.
find the product and simplify your answer 5x/x^2-1 * x+1/x^2
An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the expression (5x/x^2-1 )×(x+1/x^2) is 5/x(x-1).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplification of the given expression can be done as,
[tex]\dfrac{5x}{x^2-1} \times \dfrac{x+1}{x^2}\\\\=\dfrac{5x}{x^2-1^2} \times \dfrac{x+1}{x^2}\\\\=\dfrac{5x}{(x+1)(x-1)} \times \dfrac{x+1}{x^2}\\\\= \dfrac{5}{(x-1)x}[/tex]
Hence, the simplification of the expression (5x/x^2-1 )×(x+1/x^2) is 5/x(x-1).
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the measure of dispersion that is influenced most by extreme values is
Answer:
The measure of dispersion that is influenced most by extreme values is range.
Step-by-step explanation:
Range is the most simple and commonly understandable measures of dispersion. Range is defined as the difference between the highest and lowest observed value in a series.
Question provided in image:
Answer:
the slope of parallel lines are - the same
i.e,m1=m2
the slope of perpendicular lines are- negative reciprocals
i.e,m1*m2= -1
where, m1 and m2 slopes of two lines
A. The slope of parallel lines are: the same/equal
B. The slope of perpendicular lines are negative reciprocals.
What are the Slopes of Parallel and Perpendicular Lines?If two lines are parallel to each other, they will have the same slope. If the slope of one is 4, the slope of the other line that is parallel to it would also be 4.
On the other hand, the slope of perpendicular lines are negative reciprocal of each other. That is, if the slope of one is, -1, the slope of the other line would be 1.
Therefore, parallel lines have the same slope, while perpendicular lines have slope values that are negative reciprocal to each other.
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Can someone help real quick? I know x=15 but I can't figure out the length.
Answer:
23
Step-by-step explanation:
AB and BC are tangent to circle P, which means that both lines are congruent. Set AB and CB equal to each other:
2x-7=5x-52
3x=45
x=15
Plug 15 into AB:
2(15)-7 = 23
Length of AB is 23.
the address by ronald reagan is one of his most famous speeches. Taking into consideration the principles of effective public speaking you have studied so far, list at least 4 reasons why you feel this speech is still considered great?
ASAP 100 POINTS
Answer:
nation's leader
Step-by-step explanation:
As the nation's leader, President Reagan decided to address the country about the Challenger tragedy. Putting aside his scheduled State of the Union address before Congress, the President instead delivered an Oval Office address to comfort the people as the nation mourned.
helppppppppppppppppppppppp meeeeeeeeee
The triangles are congruent by SSS and HL
Answer:
D
Step-by-step explanation:ik
Solve the system with elimination.
x - 2y = 4
3x + y = 6
? ]
Which is the correct quotient with a letter as the remainder?
Answer:
A) 913 / 29 = 31 r 14Step-by-step explanation:
31 × 29 + 14 = 913
Then
913 / 29 = 31 r 14
Solve the equation
x²+4x-7=0
by completing the square
give your answers to 2 decimal places.
Use the wave equation to find the speed of a wave given by y(x, t) = (2. 00 mm)[(20 m−1)x − (4. 0 s−1)t] 0. 5
The speed of the wave whose wave equation :
y(x,t) =[tex](2.00 mm)[(20 m^{-1} )x - (4.0 s^{-1} ) t]^{0.5}[/tex] is 0.20 m/s
speed = 0.20 m/s
What is the speed of wave?
The wave equation is a linear second-order partial differential equation which describes the propagation of oscillations at a fixed speed in some quantity y.
The wave equation is given by:
y(x,t) =[tex](2.00 mm)[(20 m^{-1} )x - (4.0 s^{-1} ) t]^{0.5}[/tex] .......................(1)
As we know that the standard form of wave equation is of the form is
On Comparing it with equation (1)
we have,
angular number, k=20
and, angular frequency, ω=4.0 rad/s.
Thus, the speed of the wave is
v=[tex]\frac{\omega}{K}[/tex]
=[tex]\frac{(4.0 rad/s) }{(20 m^{-1}) }[/tex]
=0.20 m/s
The speed of the wave of the wave equation
y(x,t) =[tex](2.00 mm)[(20 m^{-1} )x - (4.0 s^{-1} ) t]^{0.5}[/tex] is 0.20 m/s
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can someone help me with " |-3|-10 " please.
Answer:
-7
Step-by-step explanation:
| anything inside these vertical lines becomes positive when the lines are removed. These lines are absolute value lines |
So |-2| becomes 2 when absolute bars are removed.
Using this logic, |-3| becomes 3 when bars removed. Thus 3 - 10 = -7
8. A school official calculated that the school bus arrives by 8 a.m. 90% of the time. If the
bus runs 200 days, on how many days can the school official expect it to arrive after
8 a.m.?
Answer:
20 days of the 200 total days
Step-by-step explanation:
1. 200/100=2
2. 2x90=180
3. 200-180=20
One factor of this polynomial is (2x - 1). Use long division to determine which expression represents the other factor. 2x³+ 5x² - 27x + 12
-> 3rd answer is correct
More people leave Anytown, AL each year than move into it. The population over the past 20 years is shown in the table. Use technology to find an equation that models the exponential decline. Report the rate of decline below, rounding to the nearest hundredth.
Year Population
2000 30,000
2005 27,000
2010 25,500
2015 24,000
2020 22,400
The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
Let's suppose the equation that models the exponential decline is:
[tex]\rm y = a(b^x)[/tex]
From the data given, we can calculate the value of a and b:
a = 46348587109809610
b = 0.9861
y = 46348587109809610(0.9861)ˣ
Thus, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.
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Which represents the solution(s) of the graphed system of equations, y = –x2 x 2 and y = –x 3? (1, 2) (1, 2) and (0, 3) (–1, 0) and (2, 0) (2, 1)
The solution of the graphed system of equations y = -x² + x + 2 and y = -x + 3 is (1,2)
How to solve the equations?The system of equations is given as:
y = -x² + x + 2
y = -x + 3
From the graph in the complete question, we have the following point of intersection between the equations
(x,y) = (1,2)
The point of intersection between the equations is the solution
Hence, the solution of the graphed system of equations is (1,2)
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Answer:
(1,2)
Step-by-step explanation:
:)
Name each indicated part of the algebraic expression.
4x + y
3
- 2.2
Answer:
4 Coefficient-2.2 Constant1/3 Coefficienty/3 Termx VariableStep-by-step explanation:
Some qucik lil definitions of these words
Coefficient - A multiplicative factor in some term of a polynomial, a series, or any expression.
Constant - A value that is unchanging.
Term - A single mathematical expression.
Variable - A letter used to represent an unknown.
Find the value of x in the figure.
Answer:
120
Step-by-step explanation:
Because triangle is always 180.
180-30-30=120
