We can write the coordinates of the vertices of the triangle after dilation by a scale factor as -
C'(9, 6)
B'(0, 12)
A'(12, 12)
What is dilation?Dilation is the enlargement or shrinking of the coordinates.
Given is a triangle as shown in the image.
The coordinates of the vertices of the triangle are -
C(3, 2)
B(0, 4)
A(4, 4)
For the dilation by a scale factor of {K} = 3, we can write -
C'(3 x 3, 2 x 3) = C'(9, 6)
B'(0 x 3, 4 x 3) = B'(0, 12)
A'(4 x 3, 4 x 3) = A'(12, 12)
Therefore, we can write the coordinates of the vertices of the triangle after dilation by a scale factor as -
C'(9, 6)
B'(0, 12)
A'(12, 12)
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Susan is also selling brownies. Her profit for x brownies is shown in the table below. If she uses the function y = mx + b to represent her profit, what is the parameter "m" in context?
Brownies Sold Profit
3 $6
5 $10
11 $22
A. m=6 and it represents her profit after selling 0 brownies
B. m=2 and it represents the amount she charges per brownies
C. m=2 and it represents her profit after selling 0 brownies
D. m=6 and it represents the amount she charges per brownies
Answer:
aaaaaaaaaaaaaaa
Step-by-step explanation:
3. A veterinarian recorded the weights of animals in a histogram.
Animal Weights
peech
Number of
Animals
Weight (pounds)
on
ng
Which question can be answered using the information from the histogram?
***Be careful with this question. There is only one correct answer. Choose A, B, C, or D.
Pay attention to the intervals.
a. How many animals weigh 4.9 pounds?
b. How many animals weigh between 5 and 10 pounds?
C. How many animals weigh less than 8 pounds?
d. How many animals weigh at least 15 pounds?
mature
Answer:
d. How many animals weigh at least 15 pounds?
Step-by-step explanation:
The histogram displayed holds information about the number of animals who have a certain certain weight interval. Hence, answering questions about a point weight such as the number of animals whose weight is 4.9. This is a point value and such information given by the histogram.
Similarly, number of animals for intervals which aren't Cleary and explicly stated on the horizontal x - axis of the histogram cannot be determined by the histogram such as ; number of animals weighing less than 8 pounds and number of animals weighing between 5 and 10 pounds.
However, the number of animals weight less Than 15 pounds can be obtained from the histogram. This includes the sum give by the first, second and third bar. This is about (8 + 17 + 10) = 35 animals.
How many degrees are in a full circle?
Answer: 360
Step-by-step explanation:
done
HELP MY BROTHER NEEDS HELP WITH AN ASSIGNMENT BUT I DO NOT KNOW HOW
Order the values from least to greatest. |–4|, 10, –12, |3| A. |–4|, |3|, 10, –12 B. |3|, |–4|, 10, –12 C. –12, |–4|, |3|, 10 D. –12, |3|, |–4|, 10
The answer is letter C.
Step-by-step explanation:
hope this helps
-12 < -4 < 3 < 10
Answer:
D. –12, |3|, |–4|, 10
Step-by-step explanation:
| - 4|, 10, - 12, |3|
4, 10, - 12, 3
- 12, 3, 4, 10
4x^2-8x-45=0 how to solve
Answer:
fo you understand now :))
Select the correct answer.
The loudest animal on Earth is the blue whale. Blue whales can emit sound with an intensity of 106.8 watts/meter2. The equation
log
by the human ear, Io (approximately 1 x 10-12 watts/meter).
Based on this information, which value is closest to the sound level, in decibels, of the vocalizations of a blue whale?
A.
140 dB
B.
100 dB
C. 240 dB
D. 1,000 dB
Answer:
140 db
Step-by-step explanation:
I have succesfully finished tihs
The value is closest to the sound level of the vocalizations of a blue whale is 140dB.
We have given that,
Intensity(I)= 106.8 watts/meter^2
The intensity of sound hair by the human ear is,
\(I_0=1\times10^{-12}\)
What is the meaning of the sound intensity?Sound intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.
We have to find which value is closest to the sound level, in decibels, of the vocalizations of a blue whale
So we have given the formula
\(B=10 log(\frac{I}{I_0} )\)
So use the given value we get
\(B=10 log(\frac{106.8}{1\times 10^{-12}} )\)
B= 140.28 dB≈140 dB
Therefore the value is closest to the sound level of the vocalizations of a blue whale is 140dB.
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the cost of 3 pints of ice cream is 7 dollars . what is the proportion used to find the cost ,c, of 9 pints of the same ice cream ?
Answer:
20.97$
Step-by-step explanation:
7/3=2.33
2.33*9 = 20.97
1 point
What is the interquartile range.??
Survey of Ages of Participants
++++
5 15 25 35 45 55 65 75 85
O 10
20
40
ОС
45
Answer:
IQR = 20
Step-by-step explanation:
Quartile 1 = 25
Quartile 3 = 45
To find the interquartile range, take Q3 from Q1
45 - 25 = 20 .
8. The area of a square is between 30 cm² and 31 cm². Estimate the side length to the nearest tenth of a centimetre. Is your estimate reasonable? How do you know?
The side length to the nearest tenth of a centimeter is 5.57
What is a square?A square is a closed two-dimensional shape (2D shape) with four sides that are equal and parallel to each other. also, In Euclidean Euclidean geometry, a square is a regular quadrilateral which means that it has four equal sides and four equal angles (90-degree angles, π/2 radian angles, or right angles)
The range of the sides is 30 to 31
the area of a square is
A = l² where l = length of side
√30 = l
L= 5.48 or
l = √31 = 5.57
The side length is the mean of the range of numbers
l = (5.48+5.57)/2 = 5.53
My estimate is reasonable because 5.53² = 30.5809 which is a number between 30 and 31
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Due to the fact that a square's area is proportionate to its square of side length, a minor change in the area corresponds to a small change in the side length, making this estimate acceptable.
Determine the reasonable estimate for the area of a square.Let's call the side length of the square "s". We know that the area of the square is between 30 cm² and 31 cm², so we can write:
30 < s² < 31
Taking the square root of all three sides of this inequality, we get:
√30 < s < √31
Using a calculator, we can approximate the square roots to the nearest tenth of a centimeter:
√30 ≈ 5.5
√31 ≈ 5.6
So, we can estimate that the side length of the square is between 5.5 cm and 5.6 cm, to the nearest tenth of a centimeter.
This estimate is reasonable because the area of a square is proportional to the square of its side length, so a small change in the area corresponds to a small change in the side length.
Since the difference between the upper and lower bounds of our estimate is only 0.1 cm, it makes sense that the area of the square is very close to the given range.
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The table shows that the total cost of a ride-sharing trip, y, is a function of the distance traveled, z.
■ What is the rate of change and what does it mean?
2; the ride costs $2 per mile.
43; the ride costs $3 per mile.
< 2; it costs $2 as soon as you start the ride.
43; it costs $3 as soon as you start the ride.
Distance (mi), z Total Cost ($). y
2
5
8
11
14
0
1
2
3
4
The rate of change, based on y is a function of the distance traveled, z, and what it means is B. The ride costs $3 per mile.
What is the rate of change?The rate of change is the unit rate or the slope.
The rate of change also refers to the variable cost per unit.
The variable cost can be differentiated from the fixed cost since it varies according to the quantity involved.
Distance (mi), z Total Cost ($) y Rate of Change
0 2 $0
1 5 $3 ($5 - $2)
2 8 $3 ($8 - $5)
3 11 $3 ($11 - $8)
4 14 $3 ($14 - $11)
The Rate of Change = The Slope = Rise/Run = ($5 - $2)/(1 - 0)
Thus, based on the total cost of a ride-sharing trip, the unit rate is $3 per mile.
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Evaluate the expression when c=-7.6 and d=-8.2.2d-7c
You have the following expression:
\(2d-7c\)where
c = -7.6
d = -8.2
reaplace the previous values into the given expression, and simplify, as follow:
\(2(-8.2)-7(-7.6)=-16.4+53.2=36.8\)where it has been taken into account the law of signs.
Then, the anwe
A dataset on 91 roller coasters lists the Duration of the ride in seconds in addition to the Drop height in feet for some of the coasters. One coaster, the "Tower of Terror," is unusual for having a large drop but a short ride. After setting it aside, a regression to predict Duration from Drop for the remaining 90 coasters has R^2 = 29.4%. Complete parts a through c a) What are the variable and units in this regression? The predictor variable is ____ in units of _____and the response variable is _____ in units of ____
b) What units does the slope have? - Feet per second - Feet - Seconds - Seconds per foot c) Is the slope probably positive or probably negative? Explain The slope is probably _____ because ______
a) The predictor variable is Drop in units of feet and the response variable is duration in units of seconds.
b) The units of the slope is seconds per foot.
c) The slope is probably negative because a taller drop height typically leads to a longer ride duration.
a) The predictor variable in this regression is Drop, which represents the drop height in feet of the roller coasters, and its units are feet. The response variable is Duration, which represents the duration of the ride in seconds, and its units are seconds.
b) The units of the slope in this regression are seconds per foot. This means that for every one unit increase in the drop height in feet, the duration of the ride increases or decreases by the value of the slope, measured in seconds per foot.
c) The slope is probably negative because a taller drop height typically leads to a longer ride duration, and the Tower of Terror coaster, with its unusually short duration despite a large drop height, has been removed from the analysis.
Therefore, the remaining 90 coasters in the dataset would likely exhibit a negative relationship between drop height and duration, meaning that as the drop height increases, the duration of the ride decreases.
The low R-squared value of 29.4% suggests that there is a lot of variability in the relationship between drop height and ride duration among the roller coasters in the dataset, but the negative slope indicates a generally decreasing trend.
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Pls help I have to turn this in tomorrow
Answer:
10/15 - 3/15= 7/15
Step-by-step explanation:
none
Which transformation of Figure A results in Figure A′?
A reflection across the y-axis.
What is transformation rule?A translation transformation rule describes how to move an object in the plane without changing its shape, size, or orientation. A reflection transformation rule describes how to flip an object across a line or plane. A scaling transformation rule describes how to change the size of an object by multiplying its coordinates by a scalar factor. A rotation transformation rule describes how to rotate an object around a fixed point by a certain angle.
From the graph, we can see,
The coordinates of the figure A are (-2, 0), (-2, 3) and (-5, 2)
The coordinates of the figure A' are (2, 0), (2, 3) and (5, 2)
The reflection across the y-axis, according to the rule is: \((x, y)\) → \((-x, y)\)
We can see, the y-coordinates stay the same values, while the x-coordinates will have the opposite values.
Therefore, the reflection across the y-axis.
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Let
u
=
[
1 −1 −2
]
,
v
=
[
3 1 −6
]
,
w
=
[
−2 2 6
]
.
(a) Give a geometric description of Span {u, v}. (What does it look like?)
(b) Determine if w is in Span{u, v}
(c) Give a description of Span{u, v, w}. Justify your answer. (Hint: Consider the matrix A whose columns are u, v, and w.)
The span of {u, v} represents a plane in three-dimensional space. w is not in the span of {u, v}. the span of {u, v, w} is the entire three-dimensional space.
(a) The span of {u, v} represents a plane in three-dimensional space. Geometrically, this plane can be visualized as a flat surface extending infinitely in all directions. It includes all possible vectors that can be obtained by scaling and adding u and v. Any vector lying on this plane can be expressed as a linear combination of u and v.
(b) To determine if w is in the span of {u, v}, we need to check if w can be expressed as a linear combination of u and v. We can write w as follows:
w = a*u + b*v
Solving the system of equations formed by equating corresponding components, we have:
-2 = 3a - 2b
2 = -a + 2b
6 = -2a - 6b
Solving this system, we find that there are no values of a and b that satisfy all three equations simultaneously. Therefore, w is not in the span of {u, v}.
(c) The span of {u, v, w} is the entire three-dimensional space. To justify this, we consider the matrix A whose columns are u, v, and w:
A = [u v w] = [1 3 -2; -1 1 2; -2 -6 6]
We can row-reduce matrix A to its echelon form:
[1 3 -2; -1 1 2; -2 -6 6] -> [1 3 -2; 0 4 0; 0 0 0]
The echelon form shows that the columns of A are linearly independent, and they span the entire three-dimensional space. Therefore, any vector in three-dimensional space can be expressed as a linear combination of u, v, and w, indicating that the span of {u, v, w} is the entire three-dimensional space.
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Abigail wants to attend a community college. Suppose x represents the number of credits she takes and y represents her total fees in dollars. Which of these statements are correct? Select all that apply.
A.
If tuition amounts to $125 plus $150 per credit, the function that would model this situation is y = 150x + 125.
B.
If tuition amounts to $200 plus $175 per credit, the function that would model this situation is x = 175y + 200.
C.
If tuition amounts to $175 plus $150 per credit, the function that would model this situation is y = 175x + 150.
D.
If tuition amounts to $250 plus $275 per credit, the function that would model this situation is x = 250y + 275.
E.
If tuition amounts to $225 plus $200 per credit, the function that would model this situation is y = 200x + 225.
F.
If tuition amounts to $100 plus $125 per credit, the function that would model this situation is y = 125x + 100.
Answer:
ddddddddddxdddxsddddddddD
Step-by-step explanation:
i hope it helps you
A basket contains a red, a yellow, and a green apple. A second basket contains an orange, a lemon, and a peach. Use an organized list to show all the outcomes in sample space
There are 9 different outcomes in the sample space when selecting one fruit from each basket.
Using an organized list, we can represent all the possible outcomes in the sample space for the two baskets of fruit:
1. Red Apple, Orange
2. Red Apple, Lemon
3. Red Apple, Peach
4. Yellow Apple, Orange
5. Yellow Apple, Lemon
6. Yellow Apple, Peach
7. Green Apple, Orange
8. Green Apple, Lemon
9. Green Apple, Peach
In total, there are 9 different outcomes in the sample space when selecting one fruit from each basket.
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07.03 MC)
An equation is shown below:
9(3x – 16) + 15 = 6x – 24
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)
Answer:
Step-by-step explanation:
Alright you will need to use PEMDAS for this
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction ( Take note of this )
Step 1
9(3x – 16) + 15 = 6x – 24 You will remove parenthesis here
27x-129=6x-24
Step 2
Then subtract 6x,
27x-129=6x-24
21x-129=-24
Step 3
Then you add 129 to the sides,
21x-129=-24
21x=105
After that, you divide the sides by 21 so that you can get your answer
5
So therefore, your answer will be x=5
what is the LCM of 9 and 15?
Answer:
B
Step-by-step explanation:
15+15=30
30/9=3 r3 doesn't work
30+15=45
45/9=5
Matilda has 16 3/4 hours to finish three consulting projects.how much time may she spend on each project ,if she plans to spend the same amount of time on each?
Time taken by Matilda on each project is \(5\frac{7}{12}\) hours.
According to the question we have been given that,
Total time taken by Matilda to complete the consulting projects = \(16\frac{3}{4}\) hours
First we will convert it into simple fraction which is
\(16\frac{3}{4} = \frac{67}{4} \\\) hours
Number of consulting projects = 3
And Matilda spends same amount of time to each of the project.
To find the time she spend on each project is by using unitary method
that is, 3 projects = \(\frac{67}{4}\) hours
1 project = \(\frac{67}{4} / 3\)
= 67/12
= \(5\frac{7}{12}\) hours
Hence time taken by Matilda on each project is \(5\frac{7}{12}\) hours.
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please help kinda confused!!
The equation of the line in fully simplified intersect is y = mx + b
What is general equation of the line?The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.The equation of a line is y = mx + c , where m is the slope of the line and c is a constant.We have the x-intercept (3,0) and y-intercept (0,3) on the graph.Slope of these line through these points will be ;m = (y2-y1) / (x2-x1)m= (3-0) / (0-3)m= 3/-3m= -1Also , we will get the value of c = 3 .The equation of line after putting the value of m and c will be ,y = -x + 3Thus, the equation of line is y = -x + 3To learn more about general equation of the line refers to:
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Juana borrowed $10,686.00 from her parents to finance a vacabion. H interest was charged on the loan at 5.79% p.a., how much interest would she have to pay in 20 days?
Juana would have to pay approximately $29.40 in interest for the $10,686.00 loan over a 20-day period, assuming an annual interest rate of 5.79%.
The interest Juana would have to pay in 20 days can be calculated using the formula:
Interest = Principal × Interest Rate × Time
In this case, the principal amount is $10,686.00 and the interest rate is 5.79% per annum. To calculate the interest for 20 days, we need to convert the time to a fraction of a year. Since there are 365 days in a year, the time in years would be 20/365.
Using the formula and substituting the values:
Interest = $10,686.00 × 0.0579 × (20/365)
Calculating this expression, we find that the interest amount Juana would have to pay in 20 days is approximately $29.40.
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a 15-foot statue casts a 20-foot shadow. how tall is a person who casts a 4-foot-long shadow? question 19 options: a) 5 feet b) 0.33 feet c) 3.75 feet d) 3 feet
Answer:
d
Step-by-step explanation:
the ratio of height : shadow of statue is 15 : 20 = 3 : 4
the ratio of height : shadow of person will also be 3 : 4
jet height of person be h , then
\(\frac{h}{4}\) = \(\frac{3}{4}\) ( cross- multiply )
4h = 12 ( divide both sides by 4 )
h = 3
then the person is 3 feet tall
Answer:
d) 3 feet
Step-by-step explanation:
Which algebraic expression represents the difference of e squared and twenty-one? A. E2+21 b.21 times e2 c. E2 - 21 d. 21 divided by e2
Answer: c. E2 - 21
Step-by-step explanation:
difference means to subtract
Now, e squared=E² and twenty-one=21
Therefore the difference of e squared and twenty-one is E2 - 21
One year, airline A had 6.06 mishandled bags per 1,000 passengers. Complete parts a. through c. below. a. What is the probability that in the next 1,000 passengers, the airline will have no mishandled bags? The probability that the airline will have no mishandled bags is (Round to four decimal places as needed.)
The probability that the airline will have no mishandled bags is 0.0022.
Given that airline A had 6.06 mishandled bags per 1,000 passengers.Let us find the probability that in the next 1,000 passengers, the airline will have no mishandled bags. Here, the mean number of mishandled bags = 6.06.
We need to find the probability that the airline will have no mishandled bags.
Probability of having no mishandled bags = P(X = 0)
The Poisson distribution formula is
P(X = x) = (e^(-λ) * λ^x) / x!
Where λ is the mean number of occurrences of an event in a given interval of time/space.
Here, λ = 6.06 and x = 0.
Thus, the Poisson distribution formula will be:
P(X = 0) = (e^(-6.06) * 6.06^0) / 0!
P(X = 0) = (e^(-6.06) * 1) / 1
P(X = 0) = e^(-6.06)
P(X = 0) = 0.0022011124290586392 (approximately)
Therefore, the probability that in the next 1,000 passengers, the airline will have no mishandled bags is 0.0022 (rounded to four decimal places).
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PLEASE HELP!!!
Segments DE, EF, and DF are midsegments of AABC. Find the length of the indicated
segment.
Answer:
6
Step-by-step explanation:
You know DF = 6 and EB = 6 too. Since E is the mid-point of AEB, EB and AB are equal.
DF = EB
= AB
= 6
The amunt of money that college students spend on rent each month is usually between $300 and $600. However, there are a few students who spend $1,300. What measure of spread would be most appropriate to measure the amount of money that college student spend on rent per month? Explain in detail why or why not one of the below measures would be used.
A. Median
B. Range
C. Standard Deviation
D. Inquartile Range
The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.
To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.
The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.
Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.
The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.
In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.
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Which linear graph represents a proportional relationship?
a graph of a line that passes through the points 0 comma negative 1 and 2 comma negative 1
a graph of a line that passes through the points 0 comma 0 and 1 comma 6
a graph of a line that passes through the points 0 comma 4 and 2 comma 0
a graph of a line that passes through the points 0 comma negative 3 and 1 comma negative 1
Answer:
graph is a representation of data on cartesian coordinates.
What is a graph?
A graph is a representation of data on cartesian coordinates. The nature of the graph could be used to deduce the relationship between the variables involved.
1) The linear graph that represents proportional relationship is a graph of a straight line that passes through the points negative 1 comma 3 and 0 comma 0.
2) The statement that is true about the description is that the description shows a linear relationship and a proportional relationship.
3) The linear equation that shows a proportional relationship is y equals 5 times x plus 3.
4) Given the equation; y = 225x^2 + 60, the true statement about the relation is that the equation does not show a linear relationship or a proportional relationship.
5) Given that bowling alley charges $14 for the first game, $10 for the second game, and $5 per game for every game after that, the description shows a linear relationship, but not a proportional relationship.
Step-by-step explanation:
Here a nother.. answer!!
if the matrix M is a linear combination of the matrices Mi, M2 and M3:M = [2 3 ] [1 2 ]M1 = [ 2 2 ][ 1 1 ] M2 = [ -1 1 ][ 2 1 ]M3 = [ 1 2 ] [ 3 1 ]if so, determine scalars c1, c2, c3 such that c1M1 + c2M2 +C2M3 = M.
The scalars c1 = 2/5, c2 = -3/5, and c3 = -8/5 satisfy the equation:
c1M1 + c2M2 + c3M3 = [ 2 3 ][ 1 2 ]
We want to find the scalars c1, c2, and c3 such that:
c1M1 + c2M2 + c3M3 = M
Substituting the given matrices:
c1[ 2 2 ] c2[ -1 1 ] c3[ 1 2 ] [ 2 3 ]
[ 1 1 ] [ 2 1 ] [ 3 1 ] [ 1 2 ]
Multiplying each scalar by its corresponding matrix:
[ 2c1 - c2 + c3 2c1 + 2c2 + 3c3 ]
[ c1 + 2c2 + 3c3 c1 + c2 + 2c3 ]
Setting the result equal to M:
[ 2c1 - c2 + c3 2c1 + 2c2 + 3c3 ] = [ 2 3 ]
[ c1 + 2c2 + 3c3 c1 + c2 + 2c3 ] [ 1 2 ]
This gives us two equations:
2c1 - c2 + c3 = 2
2c1 + 2c2 + 3c3 = 3
c1 + 2c2 + 3c3 = 1
c1 + c2 + 2c3 = 2
We can solve this system of equations using any method we prefer, such as elimination or substitution. Here, we will use elimination.
Subtracting the first equation from the second, we get:
3c2 + 4c3 = 1
Subtracting the third equation from fourth, we get:
c2 - c3 = 1
Multiplying second equation by 2, we get:
4c1 + 4c2 + 6c3 = 6
Subtracting first equation from this, we get:
5c2 + 5c3 = 4
Now we have three equations for c2 and c3:
3c2 + 4c3 = 1
c2 - c3 = 1
5c2 + 5c3 = 4
Solving for c2 and c3 using elimination, we get:
c2 = -3/5
c3 = -8/5
Substituting these values into the third equation, we get:
c1 = 2/5
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What is the domain of the function graphed below?
Answer:
The second option
Step-by-step explanation:
Hello!
The domain of a graph is the interval in which the graph is on the x values.
This graph has all the x values that are greater than or equal to -3, as the graph is to the right of it.
The answer would be the second option: \(D : x/x \geq -3\)
The range is the y-values of the graph. The y value of this graph is above 0, so it would be y ≥ 0