Answer:
(x+8)²-2=0
(x+8+√2)(x+8-√2)=0
x= - 8- √2 = -9.41 lesser x
x= -8 + √2 = -6.59 greater x
Answer:
\(\mathrm{Decimal}:\quad x=-6.58578\ ,\:x=-9.41421\)
Step-by-step explanation:
\(\left(x+8\right)^2-2=0\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\\left(x+8\right)^2-2+2=0+2\\Simplify\\\left(x+8\right)^2=2\\\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\mathrm{Solve\:}\:x+8=\sqrt{2}:\quad x=\sqrt{2}-8\\x+8=\sqrt{2}\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=\sqrt{2}-8\\\mathrm{Simplify}\\x=\sqrt{2}-8\)
\(\mathrm{Solve\:}\:x+8=-\sqrt{2}:\quad x=-\sqrt{2}-8\\x+8=-\sqrt{2}\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=-\sqrt{2}-8\\\mathrm{Simplify}\\x=-\sqrt{2}-8\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=\sqrt{2}-8,\:x=-\sqrt{2}-8\\\mathrm{Decimal}:\quad x=-6.58578 ,\:x=-9.41421\)
Ariel is filling a giant beach ball with air. The radius of the beach ball is 30 cm.
What is the volume of air that the beach ball will hold?
Either enter an exact answer in terms of T or use 3.14 for T.
Stuck? Watch a video or use a hint.
Answer:
113040
Step-by-step explanation:
Volume of a sphere:
V = 4/3πr³
V = 4/3(3.14)30³
V = 4/3(3.14)27000
V = 113040
The following is a list of the accounts and balances taken from the adjusted trial balance at december 31, 2024. for king merchants. king uses a perletual inventory system and the earnings approach for revenue recognition.
The following accounts and balances were taken from the adjusted trial balance of King Merchants as of December 31, 2024: Accounts payable $15,000, Accounts receivable $26,500, Accumulated depreciation $16,200, Buildings $65,000, Cash $19,400, Common stock $30,000, Cost of goods sold $80,000, Depreciation expense $3,000,
Equipment $25,000, Insurance expense $1,500, Interest expense $500, Interest payable $250, Merchandise inventory $24,800, Notes payable $14,000, Prepaid insurance $1,200, Rent expense $6,000, Retained earnings $17,050, Salaries expense $12,000, Salaries payable $2,000, Sales revenue $115,000, Supplies expense $1,800, and Utilities expense $1,000.King Merchants is a perpetual inventory system that uses the revenue recognition earnings approach.
King's adjusted trial balance suggests that the company is well-organized in its bookkeeping and accounting practices.
From the list of accounts provided, it appears that King has a balance of $15,000 in accounts payable, which means the company owes $15,000 to its suppliers for inventory or other goods and services. The company has a balance of $26,500 in accounts receivable, indicating that King is owed $26,500 by its customers for products or services sold on credit.
King's Merchandise inventory account has a balance of $24,800, which shows the cost of goods that King has not yet sold. The company's Sales revenue account has a balance of $115,000, which shows the amount of revenue generated from the sale of goods or services.
Meanwhile, the company's Cost of goods sold account has a balance of $80,000, indicating the cost of goods sold during the period.
King's adjusted trial balance also shows that the company has $65,000 in buildings, $25,000 in equipment, and $1,200 in prepaid insurance. The accumulated depreciation account has a balance of $16,200, indicating the cumulative depreciation that King has taken on its assets, such as buildings and equipment.
To know more about depreciation visit:
brainly.com/question/30531944
#SPJ11
Y= -9x2+36x-27? Anyone know
The quadratic equation is solved to find the value of x as
1 and 3How to solve the quadratic equationThe equation is a quadratic function in standard form:
y = -9x^2 + 36x - 27
To graph this function, we can use the vertex form of a quadratic equation, which is:
y = a(x - h)^2 + k
where (h, k) is the vertex of the parabola.
To convert the equation into vertex form, we need to complete the square:
y = -9(x^2 - 4x + 4) + 36 - 27
y = -9(x - 2)^2 + 9
So the vertex is at (2, 9), and since the coefficient of x^2 is negative, the parabola opens downwards.
To graph the function, we can plot the vertex at (2, 9) and a few other points, and then sketch the parabola passing through those points.
From the graph, the zeros of the function is seen to be
(1, 0) and (3, 0)
Learn more about quadratic equation at:
https://brainly.com/question/1214333
#SPJ1
calculate the mean and the variance of a geometric distribution in which the probability of success is 0.80. give your answers precise to at least two decimal places.
The mean and variance of a geometric distribution in which the probability of success is 0.80 are 1.25 and 0.3125 respectively.
The mean of a geometric distribution is given by:
Mean = 1/p
Here, p is the probability of success on a single trial.
In this case, p = 0.80
So, the mean of the geometric distribution = 1/0.80 = 1.25
The variance of a geometric distribution is given by:
Variance =\((1-p) / p^2\)
By substituting the value of p = 0.80, we get:
Variance = \((1-0.80) / 0.80^2 = 0.20 / 0.64 = 0.3125\)
So the variance of the geometric distribution = 0.3125
Therefore, the mean and variance of a geometric distribution in which the probability of success is 0.80 are 1.25 and 0.3125 respectively.
To learn more about geometric distribution:
https://brainly.com/question/15266385
#SPJ4
Ensuring that data is collected the same way each time it is collected is an example of:_______.
Ensuring that data is collected the same way each time it is collected is an example of data consistency.
What is data consistency?In database systems, consistency refers to the requirement that any given database transaction only changes affected data in permitted ways. Data written to a database must be valid according to all defined rules, including constraints, cascades, triggers, or any combination, for the database to be consistent. This operation can be modified per transaction. So, for example, a programmer can specify that only two nodes must read newly input data before recognizing data consistency. Once it crosses that barometer, it is considered consistent data. Data consistency is demonstrated by ensuring that data is collected in the same manner each time it is collected.Therefore, ensuring that data is collected the same way each time it is collected is an example of data consistency.
Know more about data consistency here:
https://brainly.com/question/27944955
#SPJ4
Use the strategy of your choice to multiply the following expression.
(SHOW YOUR STEPS)
(x-2) (2x²+6x+1)
I don’t know how to do this can someone help out
Answer:
Third side = 4
Step-by-step explanation:
Use Pythagoras theorem :
C = longer side, a = 10, b ?
\(c^2 = a^2 + b^2\)
\((2 \sqrt{29})^2 = 10^2 + b^2\\\\4 \times 29 = 100 + b^2\\\\116 - 100 = b^2\\\\b^2 = 16 \\\\b = 4\)
3 800 mm to 3 m as ratio in its simplest form
Answer:
19:15
Step-by-step explanation:
We know that 1 m = 100 cm = 1000 mm.
So 3 m = 3000 m.
So the ratio is
\(3800:3000\\=38:30\\=19:15\)
There is a flowerbed that is in the shape of a trapezium.Its area is 700m2.The sum of ts upper base and lower base is 70m.Find its height. longman workbook 5A p42 *10
Answer:
h = 16 m
Step-by-step explanation:
Given that,
The area of a trapezium, A = 700 m²
The sum of the length of the parallel sides = 70 m
The area of a trapezium is given by :
\(A=\dfrac{1}{2}\times \text{sum of parallel sides}\times height\\\\h=\dfrac{2A}{Sum}\\\\=\dfrac{2\times 700}{70}\\\\=20\ m\)
So, the height of the flower bed is 20 m.
How many 1-centimeter cubes does it need to fill the rectangular prism below.
Answer:
12 cubes
Step-by-step explanation:
To find out how many cubes can fit into the rectangular prism, we need to find the volume.
Volume is Length × width × height
\(6\)×\(2\)×\(1=12\)
The volume is 12 units cubed.
We can fit 12 1-centimeter cubes in the rectangular prism.
Hope this helps :)
how many different passwords are possible if each character may be any lowercase letter or digit? please enter your result in scientific notation, making sure the answer in the left box is between 1 and 10.
From the probability, the quantity of various passwords that are conceivable assuming each character might be any lowercase letter or digit is 2,821,109,907,456 passwords
The most effective method to ascertain the probability
The accompanying information can be concluded:
Number of lower case letters = 26
Number of digits = 10
Total Characters = 26 + 10 = 36
Length of secret word = 8
The quantity of various passwords are conceivable assuming each character might be any lowercase letter or digit will be:
= (26+10)⁸ various passwords
= 2,821,109,907,456 passwords
The quantity of various passwords that are conceivable assuming each character might be any lowercase letter or digit, and something like one person should be a digit will be:
= 36⁸ - 26⁸
= 2,612,282,842,880 passwords
Finally, the probability that a substantial secret phrase will be produced will be:
= (36⁸ - 26⁸)/36⁸
= 0.93
to know more about probability click here:
https://brainly.com/question/25870256
#SPJ4
A rectangular area of forest that measures 10 thousand meters by 300 thousand meters has an area of ______ square kilometers and __________ hectares.
The rectangular forest area measures 3,000 square kilometers and 30,000 hectares.
What is the area of the rectangular forest in square kilometers and hectares?To find the rectangular area of forest, we need to multiply its length by its width. The length of the forest is given as 10,000 meters, and the width is given as 300,000 meters.
To convert these measurements to kilometers, we divide each value by 1,000 since there are 1,000 meters in a kilometer. This gives us a length of 10 kilometers and a width of 300 kilometers.
To calculate the area in square kilometers, we multiply the length (10 kilometers) by the width (300 kilometers), resulting in an area of 3,000 square kilometers. This means that the rectangular forest covers an area of 3,000 square kilometers.
Now, to convert the area from square kilometers to hectares, we use the conversion factor that 1 square kilometer is equal to 100 hectares. By multiplying the area in square kilometers (3,000 square kilometers) by this conversion factor, we get the area of the forest in hectares. Therefore, the rectangular forest has an area of 300,000 hectares.
In summary, the rectangular forest measures 3,000 square kilometers and 300,000 hectares.
Learn more about rectangular area
brainly.com/question/29885462
#SPJ11
Find value of Y X and ABHG
9514 1404 393
Answer:
y = 26.25x = 8perimeter = 141.5Step-by-step explanation:
Corresponding segments of the non-parallel lines are proportional:
12/15 = 21/y = x/10
Solving for y, we have ...
y = 21(15/12) = 26.25
Solving for x, we have ...
x = 10(12/15) = 8
__
Then AB = y-14 = 26.25 -14 = 12.25, and HG = 5x -3 = 5(8) -3 = 37.
The perimeter is ...
P = AB +BD +DF +FH +HG +GE +EC +CA
P = 12.25 +15 +26.25 +10 +37 +8 +21 +12
P = 141.5
The value of y is 26.25.
The value of x is 8.
The perimeter is 141.5.
Use the distributive property to write an expression that is equivalent to: 3(x + 5)
Answer:
3x=15
Step-by-step explanation:
Here's what I found on google about the distributive property-
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Now for the math-
3(x+5)
distribute the numbers- 3(x)+3(5)
solve- 3*5=15
3x+15
Which inequality represents the solution for the given inequality? n -7 > -11
Answer:
n > -4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
n - 7 > -11
Step 2: Solve for n
[Addition Property of Equality] Add 7 on both sides: n > -4Here we see that any value n greater than -4 would work as a solution.
What is the value of 3/8x — 4.5 when x = 0.4 help me
Answer:
-3.5625
Step-by-step explanation:
You may be able to round your answer, I am not sure.
Explanation:
3/8(0.4)-4.5
First, multiply 8 by 0.4 to get 3.2. Plug in that number to your new equation.
3/3.2-4.5
Now use order of operations (PEMDAS or GEMA) and divide 3 by 3.2.
0.9375-4.5
Subtract (Round that number if needed. If it says round your number, the answer will be different.)
Final Answer: -3.5625
ROUNDED TO THE NEAREST TENTH VERSION:
3/8(0.4)-4.5
First, multiply 8 by 0.4 to get 3.2. Plug in that number to your new equation.
3/3.2-4.5
Now use order of operations (PEMDAS or GEMA) and divide 3 by 3.2. (round to nearest tenth place.)
0.9-4.5
Now subtract
-3.6
pls people my brother needs this ik its not for me but still pls.
Answer:
hey becca did u get yur account thing fixed, ily
Step-by-step explanation:
At a grocery store, you want to buy 4 1/10 lb of cheese. What decimal should the digital scale show?
Answer:
4.1
Step-by-step explanation:
fill in the blank. In a 4x3x2x2 factorial experiment, you have ___ independent variables and potentially ___ main effect hypotheses.
4; 4
In a 4x3x2x2 factorial experiment, you have 4 independent variables and potentially 4 main effect hypotheses.
The 4 independent variables are represented by the four numbers in the experimental design
(i.e., 4 levels of variable A, 3 levels of variable B, 2 levels of variable C, and 2 levels of variable D).
The potentially 4 main effect hypotheses are one for each independent variable, which states that there is a significant effect of that independent variable on the outcome variable.
Factorial experiment:A factorial experiment includes multiple factors simultaneously, each consisting of two or more
levels. Many factors simultaneously influence what is studied in a factorial experiment, and
experimenters consider the main effects and interactions between factors.
To know more about Factorial experiment:
https://brainly.com/question/18402941
#SPJ11
He function f f is given by f(x)=0. 1x4−0. 5x3−3. 3x2+7. 7x−1. 99 f ( x ) = 0. 1 x 4 − 0. 5 x 3 − 3. 3 x 2 + 7. 7 x − 1. 99. For how many positive values of b b does limx→bf(x)=2 lim x → b f ( x ) = 2 ?
This equation represents finding the values of "b" where the function f(x) approaches 2 as x approaches "b".
To find the number of positive values of "b" for which the limit of f(x) as x approaches b is 2, we need to analyze the behavior of the function f(x) near the point where the limit is 2.
The limit of f(x) as x approaches b is 2 can be expressed as:
lim(x→b) f(x) = 2
We can rewrite the function f(x) as:
f(x) = 0.1x^4 - 0.5x^3 - 3.3x^2 + 7.7x - 1.99
To find the positive values of "b" for which the limit is 2, we need to solve the following equation:
lim(x→b) (0.1x^4 - 0.5x^3 - 3.3x^2 + 7.7x - 1.99) = 2
To determine the number of positive solutions, we would need to analyze the behavior of the function near the critical points, where the derivative is zero. By finding the critical points and studying the behavior of the function, we can determine the number of positive values of "b" that satisfy the given condition.
Know more about equation here:
https://brainly.com/question/29657983
#SPJ11
A quadrilateral has two angles that measure 145° and 150°. The other two angles are in a ratio of 6:7. What are the measures of those two angles?° and °Submit
Given the quadrilateral:
The sum of the internal angles of a quadrilateral is 360°:
\(\begin{gathered} 150\degree+145\degree+6k+7k=360\degree \\ \\ 295\degree+13k=360\degree \\ \\ 13k=65\degree \\ \\ \Rightarrow k=5\degree \end{gathered}\)Finally, the measures of the two angles are:
\(\begin{gathered} 6k=30\degree \\ 7k=35\degree \end{gathered}\)
write an equation in slope-intercept form for the line perpendicular to y=−4x 1y=-4x 1 that passes through the point (−7,1)-7,1.
The equation in slope-intercept form for the line perpendicular to \(\(y=-4x+1\)\) that passes through the point \(\((-7,1)\)\) is \(\(y = \frac{1}{4}x + \frac{5}{4}\)\).
The given equation represents a line with a slope of -4. To find the slope of a line perpendicular to it, we take the negative reciprocal of the slope, which is \(\(\frac{1}{4}\)\). Using the point-slope form of a line, we can substitute the values of the slope \((\(\frac{1}{4}\))\) and the coordinates of the given point \((\((-7,1)\))\) into the equation. The point-slope form is \(\(y - y_1 = m(x - x_1)\),\) where \(\((x_1, y_1)\)\) represents the coordinates of the point and m is the slope. By substituting the values, we get \(\(y - 1 = \frac{1}{4}(x + 7)\)\). To convert this equation into the slope-intercept form \((\(y = mx + b\))\), we simplify it to \(\(y = \frac{1}{4}x + \frac{5}{4}\)\), where \(\(\frac{5}{4}\)\) is the y-intercept. Thus, the equation in slope-intercept form for the line perpendicular to \(\(y = -4x + 1\)\) that passes through the point -7,1 is \(\(y = \frac{1}{4}x + \frac{5}{4}\)\).
To learn more about slope-intercept refer:
https://brainly.com/question/1884491
#SPJ11
1/2(m-3/4) =-1 2/5 solve for m
Answer:
1 2/5
Step-by-step explanation:
1/2 (m+-3/4) = -1 2/5 is your answer
For the following set of data, find the sample standard deviation, to the nearest hundredth.
Data: 5, 6, 10, 13, 25, 27, 29, 31, 32
Frequency: 2, 9, 6, 2, 8, 7, 7, 3, 7
The sample standard deviation of the data set, rounded to two decimal places, is approximately 10.64.
How to calculate a Sample Standard Deviation?To find the sample standard deviation, we first need to calculate the weighted mean of the data set.
Let's calculate the weighted mean:
Sum of (Data * Frequency) = (5 * 2) + (6 * 9) + (10 * 6) + (13 * 2) + (25 * 8) + (27 * 7) + (29 * 7) + (31 * 3) + (32 * 7)
= 10 + 54 + 60 + 26 + 200 + 189 + 203 + 93 + 224
= 1079
Sum of Frequencies = 2 + 9 + 6 + 2 + 8 + 7 + 7 + 3 + 7
= 51
Weighted Mean = Sum of (Data * Frequency) / Sum of Frequencies
= 1079 / 51
≈ 21.16
Next, we calculate the squared difference for each data value by subtracting the weighted mean from each data value and squaring the result. We then multiply the squared difference by the corresponding frequency and sum the products.
Squared Differences = [(5 - 21.16)² * 2] + [(6 - 21.16)² * 9] + [(10 - 21.16)² * 6] + [(13 - 21.16)² * 2] + [(25 - 21.16)² * 8] + [(27 - 21.16)² * 7] + [(29 - 21.16)² * 7] + [(31 - 21.16)² * 3] + [(32 - 21.16)² * 7]
= 521.6512 + 2065.5371 + 746.0736 + 133.4112 + 117.9648 + 238.7392 + 430.2592 + 290.4768 + 827.7386
= 5662.4615
Finally, we calculate the sample variance by dividing the sum of the squared differences by the total number of observations minus 1 (n - 1).
Sample Variance = Sum of Squared Differences / (Sum of Frequencies - 1)
= 5662.4615 / (51 - 1)
= 113.24923
To find the sample standard deviation, we take the square root of the sample variance.
Sample Standard Deviation ≈ √(113.24923)
≈ 10.64
Learn more about Sample Standard Deviation on:
https://brainly.com/question/24298037
#SPJ1
the sum of the quotient of x and y and the quotient of x-23 and y+12 find the value if x=3 and y=-7
Answer:
-25/7
Step-by-step explanation:
x/y + (x-23)/(y+12
x = 3 and y = - 7
3/7 + (3 — 23)/(-712)
= 3/7 + -20/5
= 3/7 -4
= (-4 times 7 plus 3, over 7) = -25/7
If P=3, Q=5, and R=1, evaluate the following: 3P+2Q-6R•3(Q)
Answer:
-71
Step-by-step explanation:
9+10-6*15
19-90=-71
The function f : Z x Z → Z x Z defined by the formula f(m,n) = (5m+4n, 4m+3n) is bijective. Find its inverse.
The function f : Z x Z → Z x Z defined by \(f(m,n) = (5m+4n, 4m+3n)\) is bijective, with its inverse given by \(f^{-1}(m,n) = (-3m + 4n, 4m - 5n)\). This means that for every pair of integers (m,n), the function f maps them uniquely to another pair of integers, and the inverse function \(f^{-1}\) maps the resulting pair back to the original pair.
The inverse of the function f(m,n) = (5m+4n, 4m+3n) is \(f^{-1}(m,n) = (-3m + 4n, 4m - 5n)\).
To show that the function f is bijective, we need to prove both injectivity (one-to-one) and surjectivity (onto).
Injectivity:
Assume f(m1, n1) = f(m2, n2), where (m1, n1) and (m2, n2) are distinct elements of Z x Z.
Then, (5m1 + 4n1, 4m1 + 3n1) = (5m2 + 4n2, 4m2 + 3n2).
This implies 5m1 + 4n1 = 5m2 + 4n2 and 4m1 + 3n1 = 4m2 + 3n2.
By solving these equations, we find m1 = m2 and n1 = n2, proving injectivity.
Surjectivity:
Let (a, b) be any element of Z x Z. We need to find (m, n) such that f(m, n) = (a, b).
By solving the equations 5m + 4n = a and 4m + 3n = b, we find m = -3a + 4b and n = 4a - 5b.
Thus, f(-3a + 4b, 4a - 5b) = (5(-3a + 4b) + 4(4a - 5b), 4(-3a + 4b) + 3(4a - 5b)) = (a, b), proving surjectivity.
Since the function f is both injective and surjective, it is bijective. The inverse function \(f^{-1}(m, n) = (-3m + 4n, 4m - 5n)\) is obtained by interchanging the roles of m and n in the original function f.
To learn more about Bijective functions, visit:
https://brainly.com/question/22472765
#SPJ11
turin the numbers 5x-4 6x-23 -2x+33 into a expression and them simplify the expression. PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!! ITS WORTH 30 POINTS SO PLZ HELP!!!!!!
Answer:
This expression is missing operators and has no meaning. If you add commas to separate the expressions, and equals signs where appropriate, then assistance can be given.
Assuming that the blank spaces between terms are meant to be plus signs, then the final answer would be 9x.
Step-by-step explanation:
To make some sense of this, let's assume that the operator between "5x-4" and "6x-23" is a plus sign, and that the minus sign on "-2x + 33" is itself the operator there. If that is the case then this can be solved by simply grouping like terms and summing them up:
\(5x - 4 + 6x - 23 - 2x + 33\)
group like terms:
\(5x + 6x - 2x - 4 - 23 + 33\)
\((5 + 6 - 2)x + (-4 - 29 + 33)\)
The numbers with no coefficient add up to zero:
\(9x + (0)\)
Leaving us with the final answer.
\(9x\)
Simplify the expression to a single power of x. Open parentheses x to the power of begin display style bevelled 1 half end style end exponent over x to the power of begin display style bevelled 1 fifth end style end exponent close parentheses to the power of bevelled 1 fourth end exponent
The simplified form of the given expression is x raise to the power of one-thirty.
Simplifying indices expressionsGiven the indices expression (x^1/2/(x^1/3)^1/5
Using the indices law below:
a^m/a^n = a^m-n
(a^m)^n
Applying the law above to the given equation
(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5
(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5
(x^1/2/(x^1/3)^1/5 = x^1/30
Hence the simplified form of the given expression is x raise to the power of one-thirty.
Learn more on indices here: https://brainly.com/question/10339517
#SPJ1
For the data in the table, does y vary directly with x? If
it does, write an equation for the direct variation.
The variable y vary directly with respect to x , and the equation to denote this direct variation is y = 1.375 x .
From the table we can see that the values of x are 8 for the y value of 11
Any direct variation is represented by the equation :
y = k x , where k is a constant
now we put the values of x and y in the equation to calculate k
11 = k × 8
or, k = 11 / 8 = 1.375
again , at x = 16 , y is 22
∴ k = 22/16 = 1.375
Hence the equation for direct variation will be given by
y = kx
or, y = 1.375 x
When one quantity changes directly in reaction to a change in another quantity, this is a type of proportionality known as "direct variation." This implies that if one quantity rises, the other will rise correspondingly as well.
Like in the previous illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.
To learn more about direct variation visit:
https://brainly.com/question/14254277
#SPJ1