What’s the remainder of 3,231 / 7
hi y'all can anyone help me with this?? cuz i need this rn ( need a solution ) tysm!
Answer:
1. 3x² - 75y² = 3(x+5y)(x-5y)
2. 4x³y⁸ + 6x⁴y² + 10x⁵ y¹⁰ = 2x³y²(2y⁶+3x+5x²y⁸)
3. x⁸ - 1 = (x⁴+1) (x²+1) (x+1) (x-1)
4. 64a³ m² - 216 m⁵ = 8m²(2a-3m) (4a²+ 6am+9m²)
5. 2x³+ 54y³ = 2 (x+3y) (x²-3xy+9y²)
I hope I helped you^_^
Evaluate the expression 15g if g = 1/5.
Answer:
3
Step-by-step explanation:
15g
g=1/5
15×1/5
15/1×1/5=3
Answer:
3
Step-by-step explanation:
This is the answer because:
1) We have to substitute the value into the equation:
15(1/5)
2) Next, we have to mutiply 15 and 1/5 together since the g is just a variable that is supposed to be mutiplied with 15:
15(1/5) = 15/5 = 15 ÷ 5 = 3
Therefore, the answer is 3.
Hope this helps! :D
plz help fast!!!!!!!!!!!!!!!!!!!!!
Answer:
D) 156/100 = n/70
Step-by-step explanation:
n = 156% of 70
% indicates a fraction over 100.
"of" indicates multiplication.
n = 156/100 • 70
Let's divide both sides by 70 to have one fraction one each side.
n/70 = 156/100
This is equal to D) \((\frac{156}{100}) = (\frac{n}{70})\)
find the slope and y intercept
(0,1) and (2,-3)
whats the slope M=
whats the y intercept b=
Answer:
y = -2x + 1
Step-by-step explanation:
Y2 - Y1 / X2 - X1
-3 - 1 / 2 - 0
-4 / 2
= -2
y = -2x + b
-3 = -2(2) + b
-3 = -4 + b
1 = b
y = -2x + 1
The parent function of a quadratic equation is translated 5 units right and 1 unit down. Write the equation of the new function in vertex form.
Help first get brainly done
I need some help on this
If is the probability that the reciprocal of a randomly selected positive odd integer less than 2010 gives a terminating decimal, with and being relatively prime positive integers, what is
The probability value of (m, n) is (1, 2^1005).
Let n be a positive odd integer. We are asked to find the probability that its reciprocal gives a terminating decimal. This is equivalent to saying that the only prime factors of n are 2 and 5 because any other prime factor will yield a repeating decimal.
If n is less than 2010, then its only possible prime factors are 3, 7, 11, ..., 2009, since all primes greater than 2009 are greater than n. We want n to have no prime factors other than 2 and 5. There are 1005 odd integers less than 2010.
We want to count how many of these have no odd prime factors other than 3, 7, 11, ..., 2009. This is equivalent to counting how many subsets there are of {3, 7, 11, ..., 2009}. There are 1004 primes greater than 2 and less than 2010. Each of these primes is either in a subset or not in a subset. Thus, there are 2^1004 subsets of {3, 7, 11, ..., 2009}, including the empty set.
Thus, the probability is:
P = (number of subsets with no odd primes other than 3, 7, 11, ..., 2009) / 2^1004
We can count this number using the inclusion-exclusion principle. Let S be the set of odd integers less than 2010. Let Pi be the set of odd integers in S that are divisible by the prime pi, where pi is a prime greater than 2 and less than 2010. Let Pi,j be the set of odd integers in S that are divisible by both pi and pj, where i < j.
Then, the number of odd integers in S that have no prime factors other than 2 and 5 is:
|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...|
where the union is taken over all sets of primes with at least one element and less than or equal to 1005 elements.
By the inclusion-exclusion principle:
|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...| = ∑ (-1)^k ⋅ (∑ |Pi1,i2,...,ik|)
where the outer summation is from k = 0 to 1005, and the inner summation is taken over all combinations of primes with k elements.
This simplifies to:
(1/2) ⋅ (2^1004 + (-1)^1005)
Thus, the probability is: P = (1/2^1004) ⋅ (1/2) ⋅ (2^1004 + (-1)^1005) = 1/2 + 1/2^1005. Hence, (m, n) = (1, 2^1005).
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Complete question:
If m/n is the probability that the reciprocal of a randomly selected positive odd integer less than 2010 gives a terminating decimal, with m and n being relatively prime positive integers. what is probability value of m and n?
The probability value of (m, n) is (1, 2^1005).This is equivalent to saying that the only prime factors of n are 2 and 5 because any other prime factor will yield a repeating decimal.
Let n be a positive odd integer. We are asked to find the probability that its reciprocal gives a terminating decimal. This is equivalent to saying that the only prime factors of n are 2 and 5 because any other prime factor will yield a repeating decimal.
If n is less than 2010, then its only possible prime factors are 3, 7, 11, ..., 2009, since all primes greater than 2009 are greater than n. We want n to have no prime factors other than 2 and 5. There are 1005 odd integers less than 2010.
We want to count how many of these have no odd prime factors other than 3, 7, 11, ..., 2009. This is equivalent to counting how many subsets there are of {3, 7, 11, ..., 2009}. There are 1004 primes greater than 2 and less than 2010. Each of these primes is either in a subset or not in a subset. Thus, there are 2^1004 subsets of {3, 7, 11, ..., 2009}, including the empty set.
Thus, the probability is:
P = (number of subsets with no odd primes other than 3, 7, 11, ..., 2009) / 2^1004
We can count this number using the inclusion-exclusion principle. Let S be the set of odd integers less than 2010. Let Pi be the set of odd integers in S that are divisible by the prime pi, where pi is a prime greater than 2 and less than 2010. Let Pi,j be the set of odd integers in S that are divisible by both pi and pj, where i < j.
Then, the number of odd integers in S that have no prime factors other than 2 and 5 is:
|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...|
where the union is taken over all sets of primes with at least one element and less than or equal to 1005 elements.
By the inclusion-exclusion principle:
|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...| = ∑ (-1)^k ⋅ (∑ |Pi1,i2,...,ik|)
where the outer summation is from k = 0 to 1005, and the inner summation is taken over all combinations of primes with k elements.
This simplifies to:
\((1/2) * (2^{1004} + (-1)^1005)\)
Thus, the probability is: P = \((1/2)^{1004}* (1/2) *(2^{1004} + (-1)^{1005}) = 1/2 + 1/2^{1005}.\)
Hence, (m, n) = (\(1, 2^{1005\)).
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Write the expression. Then, check all that apply. twice the difference of a number and six A 2-column table with 4 rows. Column 1 is labeled Key Words with entries twice, the difference of, a number, six. Column 2 is labeled Replace with entries 2 times, (minus), n, 6. Replace “a number” with the variable, n. The two operations are multiplication and addition. The two operations are multiplication and subtraction. The constants are 2 and 6. The expression is written as 2(n – 6). The expression is written as 2 × 6 – n.
PLS HELP ME!
The expression for the sentence that is twice the difference of a number and six is given as follows:
2(n - 6).
How to write the expression?The sentence for this problem is defined as follows:
"Twice the difference of a number and six."
The number is unknown, hence the variable that represents the number is given as follows:
n.
The difference between the number and six is given by the subtraction of n by 6, as follows:
n - 6.
(the - symbol represents the subtraction).
The expression twice is equivalent to a multiplication of the expression n - 6 by 2, as follows:
2(n - 6).
(the multiplication symbol is implicit before the parenthesis, meaning that the distributive property is applied).
Which is the expression that represents the sentence given at the beginning of the answer.
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Find the volume of the solid generated when the region bounded by y= 14 sin x and y = 0, for 0 s xs π, is revolved about the x-axis. (Recall that sin2x (1- cos 2x)) cos 2x)).
The volume of the solid generated for the region bounded by y = 14sinx about x-axis is equal to 98π²cubic units.
Region is revolved about the x-axis.
⇒Solid generate cross-sections perpendicular to the x-axis are disks.
The radius of each disk is the distance from the x-axis to the curve
y = 14 sin x.
⇒|y|/14 = |sin x|
Using the identity sin²x = (1/2)(1 - cos 2x),
⇒|y|/14 = √[sin²x]
⇒|y|/14 = √[(1/2)(1 - cos 2x)]
⇒|y| = 14√[(1/2)(1 - cos 2x)]
⇒|y| = 7√[2(1 - cos 2x)]
Area of each disk is given by π(radius)².
Volume of the solid is equal to
V = \(\int_{0}^{\pi }\)π(7√[2(1 - cos 2x)])² dx
=49π \(\int_{0}^{\pi }\)2( 1- cos2x ) dx
= 98π (x - (sin2x/2) ) \(|_{0}^{\pi }\)
= 98π ( π - 0)
= 98π²cubic units.
Therefore , the volume of the solid generated about x-axis is equal to 98π²cubic units.
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The above question is incomplete, the complete question is:
Find the volume of the solid generated when the region bounded by y= 14 sin x and y = 0, for 0 ≤x≤π, is revolved about the x-axis. (Recall that sin²x =(1/2)(1- cos 2x).
A linear regression assumes a. no relationship between X and Y b. a linear relationship between X and Y c. Unequal variance d. a negative relationship between X and Y
A linear regression assumes a linear relationship between X and Y.
Option B is correct.
What is a linear regression?
Linear regression analysis is used to predict the value of a variable based on the value of another variable. When data has only 1 independent feature then it’s called simple linear regression.
This assumption says that independent and dependent features are having linear relationship. To check this assumption, we can use a scatter plot and a scatter plot should look like the left graph in the attached image.
Hence, we assume that there is a linear relationship between X and Y.
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Solve for g.
Give an exact answer.
10(0.4 + 0.5g) = 4g
Please help!
I need the answer as fast as possible!!
Answer:
4/5=g
thats what i got
eeee
Answer: The real answer is -4 bro.
For want of a nail, the shoe was lost,
For want of a shoe, the horse was lost,
For want of a horse, the rider was lost,
For want of a rider, the battle was lost,
For want of a battle, the kingdom was lost,
And all for the want of a horseshoe nail.
From the above poem, we can deduce that the lack of one horseshoe could be either inconsequential or it could indirectly cause the loss of a war. Some systems are quite sensitive to their starting conditions, so a small change may cause a big difference in the outcome.
Keeping the above in mind, look at the following polynomials:
⦁ y = x
⦁ y = x2
⦁ y = x3
Does a slight change in the degree of the polynomials affect their graphs? If yes, show your results graphically, taking values of x as -3, -2, -1, 0, 1, 2 and 3 in every case.
The poem For Want of a Nail is a warning about how small things can have large and unforeseen consequences. The lack of a horseshoe could lead to the loss of a horse, which could result in the loss of a rider, which could lead to the loss of a battle.
This shows that a small change can cause a big difference in the outcome. We can see a similar phenomenon in the world of mathematics, where small changes in a function can lead to significant changes in its behavior. For example, the degree of a polynomial can have a dramatic effect on its graph. Let's consider the function y = x². This is a second-degree polynomial, which means that its graph is a parabola. If we change the degree of this polynomial to 1, then we get the function y = x, which is a straight line. If we change the degree of this polynomial to 3, then we get the function y = x³, which is a cubic curve. If we graph these functions for the values of x from -3 to 3, we can see how the slight change in the degree of the polynomial affects their graphs. The graph of y = x² is a parabola that opens upward. TThe graph of y = x is a straight line that passes through the origin. The graph of y = x³ is a cubic curve that passes through the origin and has two turning points. These graphs show that a small change in the degree of the polynomial can have a significant effect on its graph.For such more question on polynomial
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The specificheat of a human is approximately 3.47 J/8 ∘
C. Use this information to answer the following questions. (a) If a 1601lb man eats a candy bar containing 287 Cal, how much will his body temperature increase if all of the calories from the candy bar are converted into heat energy? Remember that a food calorie (Cal) is equal to 1kcal, 6
C GOTutorial (b) If a 160lb man eats a roll of candy containing 41.9Cal, how much will his body temperature increase if all of the calories from the candy are converted into heat energy? ∘
C
(a)the body temperature of the 1601 lb man will increase by approximately 3.0 °C.(b)the body temperature of the 160 lb man will increase by approximately 2.4 °C.
The specific heat of a human is given as 3.47 J/°C. Using this information, we can calculate the increase in body temperature when a certain number of calories are converted into heat energy. In the first scenario, a 1601 lb man consumes a candy bar containing 287 Cal. In the second scenario, a 160 lb man consumes a roll of candy containing 41.9 Cal. We will calculate the increase in body temperature for each case.
(a) To calculate the increase in body temperature for a 1601 lb man who consumes a candy bar containing 287 Cal, we need to convert calories to joules. Since 1 Calorie (Cal) is equal to 4184 joules, we have:
Energy = 287 Cal × 4184 J/Cal = 1.2 × \(10^6\) J
Now, using the specific heat formula Q = mcΔT, where Q is the energy, m is the mass, c is the specific heat, and ΔT is the change in temperature, we can rearrange the formula to solve for ΔT:
ΔT = Q / (mc)
Assuming the mass of the man is converted to kilograms, we have:
ΔT = (1.2 × \(10^6\) J) / (1601 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 3.0 °C
Therefore, the body temperature of the 1601 lb man will increase by approximately 3.0 °C.
(b) For a 160 lb man who consumes a roll of candy containing 41.9 Cal, we repeat the same calculation:
Energy = 41.9 Cal × 4184 J/Cal = 1.75 × \(10^5\) J
ΔT = (1.75 × \(10^5\) J) / (160 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 2.4 °C
Thus, the body temperature of the 160 lb man will increase by approximately 2.4 °C.
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PLEASE WRITE EXPLANATION I REALLY NEED HELP ASAP!!!
Answer:
slope = - \(\frac{3}{2}\)
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (2, 1 ) and (x₂, y₂ ) = (8, - 8 ) ← 2 ordered pairs from the table
note that any 2 ordered pairs may be used to calculate m
m = \(\frac{-8-1}{8-2}\) = \(\frac{-9}{6}\) = - \(\frac{3}{2}\)
Homework: Section 11.1 Question 7. Complete the square to find the x-intercepts of the function given by the equation listed. f(x)=x² +34x+104 What are the x-intercepts? **** (Simplify your answer. T
Answer:
x² + 34x + 104 = 0
x² + 34x = -104
x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²
x² + 34x + 17² = -104 + 17²
x² + 34x + 289 = 185
(x + 17)² = 185
x + 17 = +√185
x = -17 + √185
Help quickly!!
A class of 50 students elected a class president.
Candidate A received 15 votes.
Candidate B received 25 votes.
The remaining students did not vote.
Which expression gives the percent of voters who voted for Candidate B?
Answer:
the answer is 25/15+25 ×100
step by step explanation:
its only 15+25 because not everyone voted so you only count those who voted
Answer:
25/50x100
Step-by-step explanation:
25/50x100
=25x2
=50
Graficar con la tabla de valores
Y= -2x+1
Step-by-step explanation:
Slope: −2
y-intercept: (0,1)
Answer:
Randalstown rugby club play 20 matches and win 17 of there matches. What percentage of the matches did they win
Answer:
They won 85% of their matches
Step-by-step explanation:
Here, we want to calculate the percentage of wins
To do this, we apply the following formula;
number of wins/number of games * 100%
That would be;
17/20 * 100%
= 17 * 5 = 85%
Rewrite the series as a sum (show all work)
Answer:
1144
Step-by-step explanation:
100 + 98 + 96 +.... + 78+76 =
(12-0)/2 (176)
(6.5) (176) = 1144
The sum of the series will be 1068.
We have the following expression -
\(\sum_{i=0}^{12} 100 - 2i\)
We have to rewrite the series as the sum.
What do you mean by Series ?A series in mathematics is the sum of a list of numbers that are generated according to some pattern.
We have the following expression -
\(\sum_{i=0}^{12} 100 - 2i\)
The terms of this series can be calculated by calculating the value of the function at different values of i.
The series is as follows -
100 + 98 + 96 +.... + 78+76
This is an arithmetic progression with a = 100 and d = - 2 and n = 12. The sum of this series is -
\(S = \frac{n}{2} \times {2a + (n-1)d}\)
S = \(\frac{12}{2} [{2 \times 100 + (12 -1)(-2)] = 6[200+ 11 \times -2] = 6[200 -22]\)
S = 6 x 178 = 1068
The sum of the series will be 1068.
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1. A ride in a cab costs $0.60 plus $0.14 per mile.
a. Write an equation for traveling x miles in the cab.
b. The cab charges $0.88 for a ride of how many miles?
c. How much does the cab charge for a trip of 8 miles?
The equation for traveling x miles in the cab can be written as:
Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.
a. The equation for traveling x miles in the cab can be written as:
Cost = $0.60 + $0.14 * x
b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:
$0.88 = $0.60 + $0.14 * x
Subtracting $0.60 from both sides, we get:
$0.88 - $0.60 = $0.14 * x
$0.28 = $0.14 * x
Dividing both sides by $0.14, we find:
x = $0.28 / $0.14
x = 2 miles
Therefore, the cab charges $0.88 for a ride of 2 miles.
c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:
Cost = $0.60 + $0.14 * 8
Cost = $0.60 + $1.12
Cost = $1.72
Therefore, the cab charges $1.72 for a trip of 8 miles.
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The function g is periodic with period 2 and g(x) = whenever 3/x is in (1,3). Graph y = g(x). Be sure to include at least two entire periods of the function.
Sure! So we know that the function g is periodic with a period of 2.
This means that the graph of y = g(x) will repeat every 2 units along the x-axis.
We also know that g(x) equals a certain value whenever 3/x is in the interval (1,3).
To graph this, we can start by finding the x-values where 3/x is in that interval.
To do this, we can solve the inequality 1 < 3/x < 3. Multiplying all parts by x (since x is positive), we get x < 3 and x > 1. So the x-values that satisfy this inequality are all the values between 1 and 3.
Now we just need to find the corresponding y-values for those x-values. We know that g(x) equals a certain value when 3/x is in (1,3), but we don't know what that value is. Let's call it y0.
So for x-values between 1 and 3, we have y = y0. For x-values outside that interval, we don't know what y is yet.
To graph this, we can plot the points (1, y0) and (3, y0), and then draw a straight line connecting them. This line represents the part of the graph where 3/x is in (1,3).
For x-values outside the interval (1,3), we know that g(x) repeats every 2 units. So we can just copy the part of the graph we've already drawn and paste it every 2 units along the x-axis.
So the final graph will look like a series of straight lines with two slanted ends, repeated every 2 units along the x-axis. The slanted ends are at (1, y0) and (3, y0), and the lines in between are vertical.
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James has an ice cube tray that makes ice in the shape of spheres rather the cubes. Each sphere of ice a radius of 2cm. One tray makes 6 spheres.
The total volume of ice that the tray can make at one time is 201 cubic centimeters.
What is volume?Volume is defined as the space covered by any solid body in the three-dimensional plane. For semicircle the parameter is radius and for cylinder, the parameters are height and radius.
Given that,
Each sphere of ice has a radius of 2 cm
One tray makes 6 spheres
The total volume of each sphere is 33.51 cm³
The tray can hold 6 of these at a time
The volume will be calculated as:-
Volume = 33.5 x 6
Volume = 201 cubic centimeters
Hence, 201 cm³ is the total volume of ice that the tray can make at one time.
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you deposit 1000 in savings account that earns .5% each month assuming you do not deposit or withdraw any money from the account, how much will you have in the account after 3 years
Answer:
$1015.11
Step-by-step explanation:
Compounded interest rate formula: A = P(1 + r/n)^t
Step 1: Plug in known variables
A = 1000(1 + 0.005/12)^36
Step 2: Multiply it all together
1000(1.00042)^36
1000(1.01511)
1015.11
This is a pretty bad bank considering only giving you .5% interest per month.
\( A \cdot C \) I. \( x=0 \) a
( x = 0 \) and \( a \), the expression \( A \cdot C \) simplifies to 0.
In the given expression, \( A \cdot C \), the variables \( A \) and \( C \) are being multiplied together.
However, the question also provides additional information, stating that \( x = 0 \) and \( a \). It is not clear what value \( a \) represents, so we will need more information to determine its significance in the expression.
As for the value of \( x \), since it is given that \( x = 0 \), we can substitute this value into the expression.
So, \( A \cdot C \) becomes \( A \cdot C \cdot 0 \).
Multiplying any number by zero will always result in zero, regardless of the value of \( A \) or \( C \).
Therefore, \( A \cdot C \cdot 0 = 0 \).
To summarize, when \( x = 0 \) and \( a \), the expression \( A \cdot C \) simplifies to 0.
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The following tree heights were recorded on a school campus:
61, 72, 84, 88, 77, 67, 76, 79, 63, 79, 69, 70, 86, 78, 82, 82, 80, 73, 87, 90, 73, 76, 79, 71, 75, 79, 76, 83, 84, 87, 72, 81, 89, 74, 77, 78, 81, 84
A science teacher wants to choose a data display that will highlight every height. Which display will present the information in this way?
Box plot
Circle graph
Histogram
Line plot
A line plot would be the best data display to highlight every height.
A line plot, also known as a dot plot, is a type of graph that displays data as a series of dots on a number line. Each dot represents a single data point, and the dots are placed above the corresponding value on the number line.
Line plots are useful for displaying small data sets because they provide a simple visual representation of the data. They can quickly show the range of values in the data set, as well as any outliers or clusters of data points. Line plots are commonly used in elementary and middle school classrooms to teach basic data analysis and graphing skills. They are also used in scientific research and statistical analysis to visualize small data sets and identify patterns in the data.
A line plot, also known as a dot plot, displays the data as points on a number line. Each data point is represented by a dot, making it easy to see every height in the data set. Here is an example of a line plot for the given data:
A display that will highlight every height would be a line plot, which would show each individual height as a dot along a number line.
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In a certain region, the average movie theater ticket price in 2016 was $9.37. In 2015, it was $8.15. Find the increase in the average movie theater ticket price from 2015 to 2016.
The increase in the average movie theater ticket price from 2015 to 2016 is $1.22 and 14.97% in percentage terms
What is the average price increase between 2016 and 2015?
The increase in the average movie theater ticket price from 2015 to 2016 can be determined as the difference between 2016 and 2015 prices divided by the 2015 price, bearing in mind that movie theater ticket price is the base price
increase in price in 2016=$9.37- $8.15
increase in price in 2016=$1.22
% increase in movie theater ticket price=$1.22/$8.15
% increase in movie theater ticket price=14.97%
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6) What is the measure of angle bpc?
The graph shows how the cost of flour depends on the amount purchased. image d4e51639499b482e8e204e442f36c002 What is the meaning of the point (0,0) on the graph? A. The cost of 0 pounds of flour is $0. B. The cost of 5 pounds of flour is $7. C. The flour costs 0 dollars per pound. D. The flour costs 00 dollars per pound.
Answer:
A. The cost of 0 pounds of flour is $0.Step-by-step explanation:
The graph is not attached.
But as per description this is a direct relationship.
The formula:
y = kxPoint (0, 0) is the start point when both the domain and range are equal to zero.
Correct option is A