The system of the linear equation y = −3x + 9 and 3y = −9x + 9 are parallel to each other and represent no solution. Then the number of the solution is zero.
What is the solution to the equation?The allocation of weights to the relevant variables that produce the calculation's equilibrium is referred to as a consequence.
A connection between two or more factors results in a linear model when displayed on a graph. The variable will have a degree of one.
The linear equations are given below.
y = -3x + 9 ...1
3y = -9x + 9 ...2
Divide the equation 2 by 3, then the equation will become.
y = -3x + 3
The slope of the lines is the same but the lines are separated by a distance.
The system of the linear equation y = −3x + 9 and 3y = −9x + 9 are parallel to each other and represent no solution. Then the number of the solution is zero.
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Given a Figure whose points are A(4, 5), B(2, -1), C(0, 0), D(-4, -1).
What would be the image of that figure if it goes under a reflection across the x-axis, what is the coordinate
of A¹?
A. A'(-4,-5)
B. A'(-4, 5)
C. A'(4, 5)
D. A'(4,-5)
Answer:
(4,-5)
Step-by-step explanation:
A is 5 units above the x axis so a' will be 5 units below the x axis.
Which answer is equivalent to
OA.
B. √
(4
OB.
C.
16
49
D.
16
49
3/16
349
√16
(49
?
A value that, when multiplied by itself, yields the number is the square root of a number.
The expression which is equivalent to [tex]$\frac{\sqrt{16}}{\sqrt{49}}$[/tex] is 16/49.
What is meant by square root?A radical symbol is used to represent a square root; the number or expression included within the radical symbol, designated by the letter a below, is known as the radicand.
A value that, when multiplied by itself, yields the number is the square root of a number. The radical symbol for the number's root is "√" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.
Therefore, the correct answer is option A. [tex]$\frac{16}{49}$[/tex]
The complete question is:
Which answer is equivalent to [tex]$\frac{\sqrt{16}}{\sqrt{49}}$[/tex]?
A. [tex]$\frac{16}{49}$[/tex]
B. [tex]$\frac{\sqrt{4}}{\sqrt{7}}$[/tex]
c. [tex]$\sqrt{\frac{16}{49}}$[/tex]
D. [tex]$\frac{\sqrt[3]{16}}{\sqrt[3]{49}}$[/tex]
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The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 14 fl oz per hour. How fast was the pipe leaking in gallons per day? 2 SEE ANSWERS
Since there are 128 fluid ounces in one gallon, we need to divide 14 by 128 to change ounces into gallons.
Since there are 60 minutes per hour, we need to multiply 14 by 60 to change per minute into per hour.
Combining these: 14 fl oz / min x (1 gal / 128 fl oz) x (60 min / hr) = 6.5625 gal per hour.
Written as a mixed fraction: 6 9/16 gal per hour.
Write the equation of a line given the following information:26) The line has a slope =and passes through (8.-1)27) TH
Answer:
The equation of the line is;
[tex]y=-\frac{3}{4}x+5[/tex]Explanation:
Given that the line has a slope of;
[tex]m=-\frac{3}{4}[/tex]And passes through the point;
[tex](8,-1)[/tex]Applying the point-slope equation of straight line;
[tex]y-y_1=m(x-x_1)[/tex]substituting the given values and solving;
[tex]\begin{gathered} y-(-1)=-\frac{3}{4}(x-8) \\ y+1=-\frac{3}{4}x-\frac{3}{4}(-8) \\ y+1=-\frac{3}{4}x+6 \\ y=-\frac{3}{4}x+6-1 \\ y=-\frac{3}{4}x+5 \end{gathered}[/tex]Therefore, the equation of the line is;
[tex]y=-\frac{3}{4}x+5[/tex]3. Use your answer from #2 for x, and find the measure of both angles. Select 2 answers.
A
B
116
61°
64°
119⁰
2x-15
3x + 5
None of the available possibilities is an equivalent expression.
Supplemental methods add up to 180 degrees, just like all other options.
An equivalent expression is what?If two expressions function the same way while having different looks, they are said to be comparable. Two identical algebraic expressions have the same value when the same value(s) for the variable are entered (s).
No one in the available possibilities satisfies the requirement of a comparable expression.
2x - 15 + 3x + 15 = 180
2x - 10 + 3x = 180
5x - 10 = 180
5x - 10 + 10 = 180 +10
add the numbers
5x = 190
5x /5 = 190 5
x = 38
As a result, none of the possibilities shown are identical expressions.
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The value of a new car after 2 years was $11,200. When the car is 6 years old, the value has dropped to $6100.
Find the rate at which the value of the car is depreciating
And
write an equation that models the depreciation of the value of the car
And
How much will the car be worth when it is 8 years old?
The equation of the car can be given as and the price of the car after 8 years is $4445.
What is an exponential function?
A function of the form [tex]a^{x}[/tex] is known as exponential function. In short the function which has an exponent is known as exponential function.
We are given that the value of a new car after 2 years was $11,200. When the car is 6 years old, the value has dropped to $6100.
Let the original price of the car be [tex]P_{0}[/tex]
After two years the price of the car is $11200
Mathematically it can be given as
[tex]11200= P_{0}e^{2x}[/tex]
After 6 years the price of the car is $6100
Mathematically it can be given as
[tex]6100=P_{0}e^{6x}[/tex]
Dividing both equations we get,
[tex]1.83=e^{-4x}[/tex]
Which can also be written as
[tex]e^{4x}=0.54[/tex]
on solving we get,
x=-0.154
Hence the rate at which price of the car is dropping is
[tex]P=P_{0}e^{-0.154t}[/tex]
No we have to find the original price of the car
To do so we substitute t=2 in the equation
we get
11200=[tex]P_0e^{-0.308}[/tex]
On solving we get,
15240=[tex]P_0[/tex]
Now we find the price of the car after 8 years
P=15240·[tex]e^{-1.232}[/tex]
On simplifying we get
P=$4445
Hence the price of the car after 8 years will be $4445
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Please tell me what is 1,359 divided by 45 is ??
6th grade math, Please Help) 2 people pls answer so i can make brainliest! and you will get 20 points :)
Evaluate the Algebraic expression; j+2h= when f=6, g=8, h=12, j=2
OA) 14
OB)18
OC)26
OD)30
Answer:
the answer is 26
Step-by-step explanation:
j+2h
(2) + 2(12)
2 + 24
26
10. Eleanor spent 40% of her money on a $130 outfit. How much money
did she have left?
Answer:
$195
Step-by-step explanation:
40% represents £130
40% : $130
100% : total
To find total:
($130 / 40) x 100 = $325 is the total
If $130 spent:
$325 - $130 = $195 is the amount left
stack of mail consists of 8 bills, 10 letters, and 6 advertisements. One piece of mail is drawn at random and put aside. Then a second piece of mail is drawn. Find P (both are letters)
INFORMATION:
We know that:
- stack of mail consists of 8 bills, 10 letters, and 6 advertisements.
- One piece of mail is drawn at random and put aside. Then a second piece of mail is drawn.
And we must find P (both are letters)
STEP BY STEP EXPLANATION:
To find the probability, we need to know that we have two events. First, when one piece of mail is drawn at random and put aside and, second, when a second piece of mail is drawn.
These two events are dependent. If A and B are dependent events, P(A and B) = P(A) • P(B after A) where P(B after A) is the probability that B occurs after A has occurred.
So, first
- Probability of A (the first piece is letter)
[tex]P(A)=\frac{favorable\text{ }cases}{total\text{ cases}}=\frac{10}{24}[/tex]- Probability of B after A
Since A already occurred and one piece of the mail was drawn (a letter), now in total we would have 9 letter and 23 total pieces
[tex]P(B\text{ after }A)=\frac{9}{23}[/tex]Finally, replacing in the initial formula
[tex]P(A\text{ and }B)=\frac{10}{24}\cdot\frac{9}{23}=\frac{90}{552}=0.1630[/tex]Finally, the probability would be 0.1630
ANSWER:
P (both are letters) = 0.1630
Alexa buys an oil painting online for $941.20. If shipping and handling are an additional 20% of the price, how much shipping and handling will Alexa pay?
14. Consider this system of equations.y = -2x2 + 9y = 4x + 3What values of x are solutions to the system of equations?A.x = -9 and x = 7B.x= -7 and x = 9C.x = -3 and x = 1D.x = -1 and x = 3
SOLUTION:
Step 1:
In this question, we are given the following:
Consider this system of equations:
[tex]\begin{gathered} y=-2x^2\text{ +9} \\ y\text{ = 4x + 3} \end{gathered}[/tex]Step 2:
The details of the solution are as follows:
CONCLUSION:
The values of x that are the solutions to the system of equations are:
[tex]x\text{ =- 3 and x = 1 -- OPTION C}[/tex]
Determine whether a triangle can have the following sides with the given lengths
For the length to be sides of a triangle, the sum of any two sides triangle must be greater than third side.
[tex]\begin{gathered} 19+5>15 \\ 24>15 \end{gathered}[/tex]Condition is true.
[tex]\begin{gathered} 15+5>19 \\ 20>19 \end{gathered}[/tex]Condition is true.
[tex]\begin{gathered} 19+15>5 \\ 34>5 \end{gathered}[/tex]Condition is true.
The triangle inequality satisfied for the triangle. So length belongs to a side of triangle.
Answer: yes
I need this answered please
If they meet in 2 hr the rate of the slower car is 86.
What is rate?
rate is the ratio between two of related quantities in the different units. If the denominator of the ratio is expressed as of a single unit of one of those quantities.
Sol- as per the given question
{d =380
{t=2
Substitute {d=380 formula
{t=2
d=v×t
380=2v
=2(18+2x)=380
Apply the distributive property
36+4x=380
Rearrange variables to the left side of the equation
4x=380-36
4x=344
Divided both side of the equation by the coefficient of variable
X=344/4
By cross out the common factor we get
X=86
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Inequalities in Two Triangles.
[?] < x < [ ]
I will mark the answer as brainliest, thanks!
The inequality of the two triangle are 32° < x < 68° and the range of the value x is defined as x ≥ 4.
Inequality:
Inequality means the relationship between two values that are not equal is defined by inequalities which means they are not equal.
Given,
Here we have the two triangles with some angle values.
Now, we need to find the inequality of these triangle.
To find the inequality of the triangle first we have to write down the values provided, they are,
77, 11x - 33, 68°, 32°
Through this we have identified that, the value of x is lies in between 68° and 32°.
So, it ca be written as,
32° < x < 68°
The next this is to use the triangle inequality theorem, that is,
"The sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c."
Therefore, based on the given equation we have written it as,
11x - 33 ≥ 77
Subtract 33 on both sides then we get,
11x ≥ 44
Therefore, x ≥ 4.
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The table shows the cumulative number of minutes Alice practices clarinet for the first part of the school year:Which is the most appropriate choice of origin and scale for this graph?
The most appropriate choices of origin and scale for the graph are given as follows:
Origin: x = 0, y = 0.Scale: x with a scale of 1, y with a scale of 100.Most appropriate scaleThe most appropriate scale one of a graph is one that permits the reader to visualize the data and noting the differences in the data.
In the context of this problem, the values of x from the table increase 1 by 1, hence a large scale would not give the reader a chance to visualize the data, hence a scale of 1 should be used.
The values of y, otherwise, range from 300 to 1200, meaning that a small scale would be bad for the readability of the graph, and thus a scale of 100 should be used for the values of y, giving the readers a chance to visualize the differences between 300 and 1200.
The origin of the graph should be the point (0,0), as both x and y assume only positive values, hence only the first quadrant is needed to plot the graph.
Missing information
The table is missing and is given by the graph at the end of the answer.
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aghwhelrrotiuugggdddd
Solution
We have the following info:
Grades Credits
B 2
B 5
B 5
C 2
And we know that A= 4, B= 3, C=2
So we can do this:
[tex]\operatorname{mean}=\frac{3\cdot2+3\cdot5+3\cdot5+2\cdot2}{2+5+5+2}=2.86[/tex]then the weighted average is 2.86
Given the linear function in slope-intercept, what is the slope
and y-intercept of this line?
f(x) = x +9
Select TWO answers.
Answer:
Slope is 1 and y-intercept is 9
Step-by-step explanation:
y=mx+b
The slope is the coefficient of x in this case it would be 1
The y-intercept is whatever b is and it is +9 so it is 9
What is the area of a triangle whose vertices are J(−2, 1), K(0, 3), and L(4, −1)?
Enter your answer in the box.
Based on the vertices of the triangle, the area of the triangle can be found to be 8 cm²
How to find the area of the triangle?First, find the lengths of JK, KL, and JL. When given vertices, you can find the length of a line by the formula:
= √ ( (x₂ - x₁)² + (y₂ - y₁)²)
The length of JK is therefore 2.83 units
The length of KL is therefore 5.66 units
The length of JL is therefore 6.32 units.
Given these units, the area of the triangle can be found by the formula:
= √ s(s - a) ( s - b) ( s - c)
Where:
s = semi perimeter
a, b, and c are the sides of the triangle which are JK, KL, and JL.
The semi-perimeter can be found by the formula:
= ( a + c + c) / 2
= 15.47 / 2
= 7.74
The area of the triangle is therefore:
= √ s(s - a) ( s - b) ( s - c)
= √ 7.74 (7.74 - 2.83) ( 7.74 - 5.66) ( 7.74 - 6.32)
= 8 cm²
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raul and a friend bought two tickets to see a soccer game each ticket cost $6.75 the friends pain a total of $23.50 which included a fee parking near the stadium how much did each friend pay for the parking fee what is the parking fee as a percent increase in the cost of a ticket
Answer:
Each friend paid $5 for parking.
Step-by-step explanation:
[tex]23.5[/tex] - [tex](6.75[/tex][tex](2)[/tex][tex])[/tex] = [tex]10[/tex]
[tex]10[/tex] ÷ [tex]2 = 5[/tex]
I'm not sure about the rest of the question.
Is the following relation a function? {(0.3, 0.6), (0.4, 0.8), (0.3, 0.7), (0.5, 0.5)}
25 points
No, the given relation is not a function. An association between items of two sets—the domain and the codomain—is known as a binary relation.
What is a function ?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
A binary connection in mathematics links elements of one set, referred to as the domain, with elements of another set, referred to as the codomain. A new set of ordered pairs made up of elements from sets X and Y and x in X is known as a binary relation across these sets.
Al-Biruni and Sharaf al-Din al-Tusi, two Persian mathematicians, are responsible for the earliest documented treatment of the concept of function. Initially, functions represented the idealised relationship between two changing quantities.
Consider the given relation
{(0.3, 0.6), (0.4, 0.8), (0.3, 0.7), (0.5, 0.5)}
We need to check whether the given relation is function or not.
A relation is a function if there exist a unique value of y for each value of x.
In the given relation, for x=0.3 there exist more than one value of y.
y=0.6 at x=0.3
y=0.7 at x=0.3
For one input there exist more than one output. Therefore, the given relation is not a function.
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Use statement and reason.
Answer:
Step-by-step explanation:
Data were collected on the distance a baseball will travel when hit by a baseball bat at a certain speed. The speed, s, is measured in miles per hour, and distance, y, is measured in yards. The line of fit is given by ŷ = 3.98 + 53.59s. If the ball travels for a duration of 5 seconds, what is the predicted distance of the ball?
The predicted distance of the ball would be 27.1.93 yards when the ball travels for a duration of 5 seconds.
What is the velocity?Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.
The distance, y, is measured in yards and the speed, s, is measured in miles per hour.
The regression line is defined as ŷ = 3.98 + 53.59s ... (i)
The slope and y-intercept of the regression line must be determined.
The general equation for a linear regression line is y = a + bx...(ii), where x is a variable. The variable is indicated by s in the above equation.
When I and (ii) are compared, we obtain a = 3.98 and b = 53.59.
It indicates that the slope is 53.59 and the y-intercept is 3.98.
The slope, b = 53.59, implies that for every mile per hour of speed, the distance rises by 53.59 yards.
The ball travels for a duration of 5 seconds
Substitute the value of s = 5 in equation (i) to get
ŷ = 3.98 + 53.59(5)
ŷ = 271.93
Thus, the predicted distance of the ball would be 27.1.93 yards.
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Answer:
271.93
Step-by-step explanation:
Find all the points having an x coordinate of 1 whose distance from the point (-3,-2) is 5
The possible coordinates of the other points are (1, -1) and (5, 1)
How to calculate the coordinates of the points?From the question, we have
Distance = 5 unitsPoints = (-3, -2) and (1, y)Where (1, y) represents the other points
The distance between the points is then calculated using the following distance formula
d = √[(x₁ - x₂)²+ (y₁ - y₂)²]
Where x and y are the coordinates of the two points
Substitute the known values in the above equation
So, we have
d = √[(-3 - 1)²+ (-2 - y)²]
Evaluate
d = √[16+ (-2 - y)²]
The distance is 5 units
So, we have
√[16+ (-2 - y)²] = 5
Square both sides
16+ (-2 - y)² = 25
This gives
(-2 - y)² = 9
Square root of both sides
-2 - y = +/-3
So, we have
y = -2+/-3
Evaluate
y = -1 and y = 5
Hence, the coordinates are (1, -1) and (5, 1)
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How many square mega meters are in 9,000,000 square kilometers?
Answer:
9 square megameters
Explanation:
Given:
[tex]\begin{gathered} 1.0\times10^6\text{ square kilometers}=1\text{ square megameter} \\ \implies1\text{ square kilometers}=\frac{1}{1.0\times10^6}\text{ square megameter} \end{gathered}[/tex]We want to find out how many square megameters are in 9,000,000 square kilometers.
Multiply both sides of the equation by 9,000,000.
[tex]\begin{gathered} 1\times9,000,000\text{ square km}=\frac{9,000,000}{1.0\times10^6}\text{ square megameter} \\ \implies9,000,000\text{ square km}=9\text{ square megameter} \end{gathered}[/tex]There are 9 square megameters in 9,000,000 square kilometers.
[x-6] +4 =10 solve for X
Answer:
x=12
Step-by-step explanation:
(x-6)=6
x=12
Question 1
Write the equation of the line that is parallel to the x-axis and contains point (2, 7).
PARALLEL LINES HAVE EQUAL GRADIENTS
THE GRADIENT IN THE X-AXIS IS EQUAL TO 0 SINCE THE THE Y VALUE FOR ANY X VALUES IS 0
[tex]m = \frac{0 - 0}{x2 - x1} \\ m = 0[/tex]
This just means that the gradient for the line parallel to the given line is 0
I will use the technique of the General equation of a straight line. y=mx+c
[tex]7 = (0)(2) + c \\ c = 7[/tex]
THE EQUATION IS
[tex]y = 7[/tex]
ATTACHED IS THE SOLUTION.
100 POINTS!!
Activity
Plane A is descending toward the local airport, and plane B is ascending from the same airport. Plane A is descending at a rate of 2,500 feet per minute. Plane B is ascending at a rate of 4,000 feet per minute. If plane A is currently at an altitude of 14,000 feet and plane B is at an altitude of 1,000 feet, how long will it take them to be at the same altitude? The equation representing plane A’s descent is y = -2,500x + 14,000. The equation representing plane B’s ascent is y = 4,000x + 1,000. In both equations, y represents altitude and x represents time in minutes.
Part A
Go to your math tools and open the Graph tool to graph the two equations and determine the position of the point of intersection for the two equations. To create the graph, select the correct relationship and then enter the values for the variables. Adjust the maximum and minimum y-values until the point of intersection is visible. Paste a screenshot of the graph in your answer.
Part B
From the graph, find the solution to the system of equations. At what point do the lines appear to intersect?
Part C
The x-value for this situation represents time in minutes. So, what does the x-value of the point of intersection represent?
Part D
The y-value for this situation represents altitude. So, what does the y-value of the point of intersection represent?
Considering the given system of equations, it is found that:
B. They intersect at the point (2,9000).
C. The x-value of the point of intersection represents the time in which they intersect.
D. The y-value of the point of intersection represents the altitude in which they intersect.
How to solve a system of equations graphically?A system is equations is composed by a number of curves, and the solution to the system of equations is the point where all these curves intersect each other on the graph.
In the context of this problem, the curves are given as follows:
Plane A descent: y = -2500x + 14000.Plane B ascent: y = 4000x + 1000.In which the variables are as follows:
Variable x: time in minutes.Variable y: altitude of the plane, in feet.From the graph given in this problem, it is found that they intersect at point (2,9000), that is, they intersect a height of 9000 feet at a time of 2 seconds.
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Answer: Considering the given system of equations, it is found that:
B. They intersect at the point (2,9000).
C. The x-value of the point of intersection represents the time in which they intersect.
D. The y-value of the point of intersection represents the altitude in which they intersect.
How to solve a system of equations graphically?
A system is equations is composed by a number of curves, and the solution to the system of equations is the point where all these curves intersect each other on the graph.
In the context of this problem, the curves are given as follows:
Plane A descent: y = -2500x + 14000.
Plane B ascent: y = 4000x + 1000.
In which the variables are as follows:
Variable x: time in minutes.
Variable y: altitude of the plane, in feet.
From the graph given in this problem, it is found that they intersect at point (2,9000), that is, they intersect a height of 9000 feet at a time of 2 seconds.
Step-by-step explanation:
Solve for x.
3.5x=31.5
Answer:
x = 9
Step-by-step explanation:
x = 31.5 / 3.5
x = 9
Answer:
x = 9
Step-by-step explanation:
since 3.5 is being multiplied by x to get 31.5 to get rid of it and leave x by itself you have to divide both sides by 3.5
(3.5x)/(3.5)= (31.5)/(3.5)
x=9
a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 411 gram setting. based on a 19 bag sample where the mean is 437 grams and the varicance is 441, is there sufficent evidence at the 0.025 level that the bags are underfilled?
Using the Hypothesis testing and statistic Z- test we , find that the bag sample is not underfilled at a significance level of 0.025 i.e., 25% .
In the given question, we shall check the bag is underfilled at given level or not .
We can use the hypothesis testing, The Null and Alternative hypothesis are given as below :
H₀ : u = 411 : the bags are not underfilled
Hₜ : u < 411 : the bags are underfilled
Check it now using statistic Z-test and the test Statistic formula is given by
= ( M – u ) / S.D / √n , where M = mean of sample and S.D = standard deviations n is the number of bags used .
From given data we get, n= 19 ; M = 437 ; S.D = √ variance = √ 441 = 21
Including all of the above variables in formula
Z = (437-411)/21/√19
= 26/21/√19
= 5.395
This is right -tail test in statistic Z -test
P- value = 1 – 0.9999 = 0.111 ( by using Z-table or P-value for Z in Excel )
The sufficient evidence level is 0.025 i.e., alpha (α) = 0.025
P- value >α , this implies that Null hypothesis is not Rejected .
There is sufficient evidence to suggest that bag is not underfilled.
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