Trigonometric functions are commonly defined as the quotient between two sides of a right triangle, associated with its angles. Trigonometric functions are functions whose values are extensions of the trigonometric reason concept in a right triangle plotted in a unit circumference (radius unit).
The perimeter of a playing field for a certain sport is 168 ft. The field is a rectangle, and the length is 44 ft longer than the width. Find the dimensions.
1. 7x +30
2.7x+50
3.13x+30
4.13x+50
Please help me
Answer:
its easy the first one 7x+30
valuate the equation: 33d = 924
Answer:
28
Step-by-step explanation:
924 divided by 33 is 28
Answer:
d = 28
Step-by-step explanation:
In order to separate the 33 from the variable, you need to do the inverse operation of what is is already doing.
Right now it would be multiplying.
So we need to divide.
33d ÷ 33 = d
Now we need to do that on the other side.
924 ÷ 33 = 28
So d = 28
Hope this helps :)
What is the term used to describe the occurrence of one case of smallpox in a population in which it was considered to be previously eliminated
The term used to describe the occurrence of one case of smallpox in a population in which it was considered to be previously eliminated is known as a "breakthrough case."
It signifies a reemergence of the disease in a population where it was believed to be eradicated.
A breakthrough case refers to the unexpected occurrence of a disease or infection in individuals who have been vaccinated or were thought to have acquired immunity. In the case of smallpox, which was declared eradicated in 1980, a breakthrough case would indicate the presence of a single case of smallpox in a population where the disease was considered eliminated.
This occurrence is concerning as it suggests a potential failure in the control measures or the persistence of the virus in a hidden reservoir. Immediate action is typically taken to prevent further transmission and mitigate the reemergence of the disease.
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How many times does 5 go into 23
Answer:
How many times does 5 go into 23
4.6
Step-by-step explanation:
23/5 =4.6
Evaluating and dividing polynomials (4 problems) do all and show work please.
Therefore , the solution of the given problem of polynomial comes out to be quotient comes out to be (p³ + 2p² + 6p -10) .
Describe polynomials.A polynomial is a mathematical statement with coefficients or uncertainty that uses only additions, erasures, multiplications, and powers of positive integer variables. There is just one indeterminate x polynomial identified by the formula x2 4x + 7. The term "polynomial" refers to a phrase in mathematics that consists of variables (sometimes referred to as "indeterminates") and coefficients that can be added, deducted, multiplied, then raised to negative number powers of non-variables.
Here,
Given :
=> (p⁴ -7p³ - 12p² - 64p + 90 ) / (p-9)
=> (p-9) * (p³ + 2p² + 6p -10) / (p-9)
=> (p³ + 2p² + 6p -10)
Thus , quotient comes out to be (p³ + 2p² + 6p -10) .
Therefore , the solution of the given problem of polynomial comes out to be quotient comes out to be (p³ + 2p² + 6p -10) .
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y∝√x If y=60 when x=36 find,y when x=16
Answer:
y = 10√16) = 40
Step-by-step explanation:
This says, "y is proportional to the square root of x." We are told that y = 60 when x = 36. Find the formula for this function. Then, determine what value y will take on when x = 16.
y = k√x becomes 60 = k√36, or 60 = 6k. Then k must be 10, and the formula is y = 10√x.
If x = 16, y = 10√16) = 40
Randois samples of four different models of cars were selected and the gas mileage of each car was meased. The results are shown below Z (F/PALE ma II # 21 226 22 725 21 Test the claim that the four d
In the given problem, random samples of four different models of cars were selected and the gas mileage of each car was measured. The results are shown below:21 226 22 725 21
Given that,The null hypothesis H0: All the population means are equal. The alternative hypothesis H1: At least one population mean is different from the others .
To find the hypothesis test, we will use the one-way ANOVA test. We calculate the grand mean (X-bar) and the sum of squares between and within to obtain the F-test statistic. Let's find out the sample size (n), the total number of samples (N), the degree of freedom within (dfw), and the degree of freedom between (dfb).
Sample size (n) = 4 Number of samples (N) = n × 4 = 16 Degree of freedom between (dfb) = n - 1 = 4 - 1 = 3 Degree of freedom within (dfw) = N - n = 16 - 4 = 12 Total sum of squares (SST) = ∑(X - X-bar)2
From the given data, we have X-bar = (21 + 22 + 26 + 25) / 4 = 23.5
So, SST = (21 - 23.5)2 + (22 - 23.5)2 + (26 - 23.5)2 + (25 - 23.5)2 = 31.5 + 2.5 + 4.5 + 1.5 = 40.0The sum of squares between (SSB) is calculated as:SSB = n ∑(X-bar - X)2
For the given data,SSB = 4[(23.5 - 21)2 + (23.5 - 22)2 + (23.5 - 26)2 + (23.5 - 25)2] = 4[5.25 + 2.25 + 7.25 + 3.25] = 72.0 The sum of squares within (SSW) is calculated as:SSW = SST - SSB = 40.0 - 72.0 = -32.0
The mean square between (MSB) and mean square within (MSW) are calculated as:MSB = SSB / dfb = 72 / 3 = 24.0MSW = SSW / dfw = -32 / 12 = -2.6667
The F-statistic is then calculated as:F = MSB / MSW = 24 / (-2.6667) = -9.0
Since we are testing whether at least one population mean is different, we will use the F-test statistic to test the null hypothesis. If the p-value is less than the significance level, we will reject the null hypothesis. However, the calculated F-statistic is negative, and we only consider the positive F-values. Therefore, we take the absolute value of the F-statistic as:F = |-9.0| = 9.0The p-value corresponding to the F-statistic is less than 0.01. Since it is less than the significance level (α = 0.05), we reject the null hypothesis. Therefore, we can conclude that at least one of the population means is different from the others.
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Need help finding the missing angle
Answer:
Step-by-step explanation:
Sinθ = opp/hyp
Sinθ = 12/13
θ = ArcSin (12/13)
θ =67.38
Let x = adj
Tan (67.38) = 15/x
2.4= 15/x
x2.4= 15
x=6.25
Therefore the missing value is 6.25
How many different n-bead necklaces (cyclicly distinct) can be made from three colors of beads when:____
The necklaces are considered cyclically distinct, meaning that rotations of the same necklace are not counted as distinct. The number of different necklaces will depend on the value of n.
To find the number of different n-bead necklaces, we can use the concept of Burnside's Lemma or Polya's Enumeration Theorem. These mathematical principles provide a systematic way to count the number of distinct configurations under certain symmetries.
Without the specific value of n provided in the question, it is not possible to give an exact answer. The number of different n-bead necklaces will vary depending on the number of beads in the necklace. However, we can provide a general approach to solving the problem.
To calculate the number of distinct n-bead necklaces with three colors, we need to consider the symmetry of the necklace. The symmetries include rotations and reflections. By applying Burnside's Lemma or Polya's Enumeration Theorem, we can determine the number of distinct necklaces taking into account these symmetries.
In summary, without the specific value of n, it is not possible to provide an exact answer. However, by considering the symmetries and applying mathematical principles like Burnside's Lemma or Polya's Enumeration Theorem, we can calculate the number of different n-bead necklaces using three colors of beads.
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PLEASE HELP IMMEDIATELY
Use the information in the problem to complete the following table.
Barbara is riding her bike to soccer practice at a rate of 5.8 miles per hour.
Here is the completed table
Independent quantity Dependent quantity
Quantity Time Distance
Unit Hour Miles
Expression distance / rate time x rate
0 0
0.5 2.9
1 5.8
1.5 8.7
2 11.6
What are the distances covered?Rate is the total distance covered per time. it is determined by dividing distance covered by the time. Time is the independent variable because it determines the distance covered while distance is the dependent variable because its value depends on the time.
Rate = distance / time
Time = distance / rate
Distance = rate x time
Distance when time is 0 hours = 5.8 x 0 = 0
Distance when time is 0.5 hours = 5.8 x 0.5 = 2.9
Distance when time is 1 hours = 5.8 x 1 = 5.8 miles
Distance when time is 1.5 hours = 5.8 x 1.5 = 8.7
Distance when time is 2 hours = 5.8 x 2 = 11.6
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help appreciated thanks
Answer:
No
Step-by-step explanation:
x=(b-5)/c≠(5-b)/c
supposedly
b=6
c=1
x=6-5/1=1
x=5-6/1= -1
1≠ -1
Answer:
No
Step-by-step explanation:
x = b - 5 / L equal to - (5 - b) / L
Someone please help me
Answer:
Step-by-step explanation:
cone: attached picture below
composite shape: To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together. You may have to calculate missing lengths before finding the area of some of the shapes.
ratio: not sure about that question sorry
last question: i have no idea what it is about because my device won't open the picture sorry
though i have answered 2 question of yours
have a great evening
Answer:
ConeSurface area:
A = πr(r + l) r = √(10² - 8²) = √36 = 6A = 3.14(6)(6 + 10) = 301.44#1A = 25π, C = ?A = πr² ⇒ 25π = πr² ⇒ r² = 25 ⇒ r = 5C = 2πr = 2*3.14*5 = 31.4#2A = 5*7 + (5 - 2)*4 + 1/2*4*(6 - (5 - 2)) = 35 + 12 + 6 = 53#10Scale factor
k = 3/4Area is a function of two dimensions, each has k applied
The ratio of areas is the k² = (3/4)² = 9/16Option C
#6Volume of prism:
V = Bh = 1/2(8*5)*6 = 120Volume of pyramid:
V = 1/3Bh = 1/3(8*5)*9 = 120Option A, same volume
#7Ratio of areas:
20/45 = 4/9Scale factor is:
k² = 4/9k = √4/9k = 2/3This month Mia read 1,240 pages
less than last month. If she read 436
pages this month, how many pages
did she read last month?
Answer:
804
Step-by-step explanation:
1240- 436= 804
25/12 answer with a decimal please, thank you!
Answer: 20.8
Step-by-step explanation: .
HELP PLEASE!! i need help finding the mean!!!!
Answer:
If I did this wrong do tell.
Okay so to find your mean you only have to do 2 steps:
Step 1: Add up all your numbers.
31, 4, 55, 68, 7002
= 7150
Step 2: Divide your answer by how many numbers there are.
7150 ÷ 5
= 1430
Step-by-step explanation:
Hope this helps!
From your neighborhood softie
helppppppppppppppppppppppppp
Answer:
with what
Step-by-step explanation:
help
[help]
VERB
make it easier for (someone) to do something by offering one's services or resources.
"they helped her with domestic chores" · [more]
synonyms:
assist · aid · help out · lend a hand to · lend a helping hand to · [more]
(help someone to)
serve someone with (food or drink).
"she helped herself to a cookie"
(can/could not help)
cannot or could not avoid.
"he could not help laughing" · [more]
synonyms:
be unable to stop · be unable to prevent oneself from · [more]
NOUN
the action of helping someone to do something; assistance.
"I asked for help from my neighbors" · [more]
synonyms:
assistance · aid · a helping hand · support · succor · advice · guidance · [more]
EXCLAMATION
used as an appeal for urgent assistance.
"Help! I'm drowning!"
a car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time it takes the truck to travel the same distance. what is the speed of the car? how about the truck?
A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time. The speed of the car is 50 km/h. The speed of truck is 70 km/h.
Define speed.You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).
Given,
A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time.
Let s represent the truck's speed and (s+20) represent the car's speed.
to determine each vehicle's time
Time = Speed / Distance
truck time = 350/s
Time in an automobile is 350/(s+20)
Truck time - car time = 2 hours
So,
(350/s) - [350/(s+20)] = 2
LCM is s(s+20)
[350(s+20) - 350s]/s(s+20) = 2
Cross multiplying,
350(s+20) - 350s = 2s(s+20)
Simplifying the equation,
350s + 7000 - 350s = 2s² + 40s
Now, we have quadratic equation to simplify,
2s² + 40s - 7000 = 0
Dividing the equation by 2
s² + 20s - 3500 = 0
Factorizing,
s= 50
s= -70 (impossible because of the sign)
Hence the truck's speed is s = 50 km/h.
The speed of the car is s + 20 = 70 km/h.
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Which of the following is the equation for a circle with a radius of rand center
at (h, k)?
OA. ²² +²2² =2²
OB. (x-h)2+(y- k)² = ²2
OC. (x+ h)2 + (y+ k)² = 12
OD. (x-4)² + (v-h)² = ₁²
K
SUBMIT
The equation for a circle with a radius of r and center at (h, k) is given by \((x - h)^2 + (y - k)^2 = r^2\).The correct answer is option B.
In this equation, (x, y) represents any point on the circle's circumference. The center of the circle is denoted by (h, k), which specifies the horizontal and vertical positions of the center point.
The radius, r, represents the distance from the center to any point on the circle's circumference.
This equation is derived from the Pythagorean theorem. By considering a right triangle formed between the center of the circle, a point on the circumference, and the x or y-axis, we can determine the relationship between the coordinates (x, y), the center (h, k), and the radius r.
The lengths of the triangle's sides are (x - h) for the horizontal distance, (y - k) for the vertical distance, and r for the hypotenuse, which is the radius.
By squaring both sides of the equation, we eliminate the square root operation, resulting in the standard form of the equation for a circle.
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(10 PTS) Abby is trying to prove that if segment CD is a perpendicular bisector of segment ST, then any point, Q, on segment CD is equidistant from endpoints S and T. What is the best plan for her proof?
Answer:
Any point, Q, along segment CD is equidistant from S and T.
Step-by-step explanation:
Bisection involves dividing a line or angle into two equal parts. A perpendicular bisector of a line is always at right angle to the said line.
Given line ST and a bisector CD. This implies that segment CD divide ST into two equal parts. Any point Q has equal distance from S and T. Therefore, any point, Q, along segment CD is equidistant from endpoints S and T.
Kenny plotted the following pairs of points and said they made a symmetric figure about a line with the rule: y is always 4. Is his figure symmetrical about the line? How do you know? Explain
Kenny claims that the figure formed by the given pairs of points is symmetric about a line where y is always 4. To determine if the figure is truly symmetrical, we need to analyze the coordinates of the points and check if they exhibit symmetry with respect to the line y = 4.
To determine if the figure is symmetrical about the line y = 4, we need to check if the corresponding points on opposite sides of the line have the same distance from the line. If they do, then the figure is symmetric.
For example, let's say one of the plotted points is (x, y) = (2, 4). If the figure is symmetric, there should be another point on the opposite side of the line y = 4 that is equidistant from the line. However, since y is always 4 according to Kenny's rule, all the points will lie on the line y = 4. Therefore, there won't be any points on the opposite side of the line to exhibit symmetry.
Based on this reasoning, we can conclude that Kenny's figure is not symmetrical about the line y = 4 because all the points lie on the line itself and do not have corresponding points on the opposite side.
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Plot the points in a coordinate plane and sketch ∠ XYZ. Then classify it as right, acute, or obtuse.
X(5,-3), Y(4,-1), Z(6,-2)
The points X(5,-3), Y(4,-1) and Z(6,-2) can be plotted as given below. From the obtained graph ∠XYZ is the obtuse angle.
The given coordinates are X(5,-3), Y(4,-1) and Z(6,-2).
We need to classify ∠XYZ whether it is right, acute, or obtuse.
How to plot the points in a cartesian plane?A cartesian plane or coordinate plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.
Now, X(5,-3), Y(4,-1) and Z(6,-2) can be plotted as given below:
The given points X(5,-3), Y(4,-1) and Z(6,-2) have positive x-coordinate and negative y-coordinate.
In the cartesian plane, the fourth quadrant positive x-coordinate and negative y-coordinate.
So, all points X(5,-3), Y(4,-1) and Z(6,-2) lie in the fourth quadrant.
From the graph, we can see that the two lines make an obtuse angle, which is more than 180° and less than 360°.
From the obtained graph ∠XYZ is the obtuse angle.
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6 Explain A video game company will make
a new game. The manager must choose between a role-
playing game and an action game. He asks his sales staff
which of the last 10 released games sold the most copies.
Explain why this is a statistical question.
The question is statistical because it requires data analysis, statistical methods, and interpretation of results to make a decision.
What is a Statistical question:A statistical question is a question that can be answered by collecting and analyzing data. It is a question that involves variability, uncertainty, or randomness and cannot be answered with a single definitive answer.
Instead, it requires the use of statistical methods to analyze and summarize data to make informed decisions.
Here we have
A video game company will make a new game. The manager must choose between role-playing the game and an action game. He asks his sales staff which of the last 10 released games sold the most copies.
This is a statistical question because it involves collecting and analyzing data to make an informed decision.
The manager is seeking information from the sales staff about the last 10 released games to determine which type of game - role-playing or action - is more likely to sell well.
By analyzing the sales data, the manager can make a data-driven decision about which game to develop, rather than relying solely on intuition or personal preferences.
To answer the question, the sales staff would need to collect data on the sales figures of each of the last 10 released games, which involves using statistical methods to analyze and summarize data.v
Therefore,
The question is statistical because it requires data analysis, statistical methods, and interpretation of results to make a decision.
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(1) Find the volume in the first octant bounded by y^2=4−x and y=2z
(2) Find the volume bounded by z=x^2+y^2and z=4
the volume in the first octant bounded by\(y^2=4−x\) and y=2z is pi/36 sqrt(3).
(1) To find the volume in the first octant bounded by the surfaces \(y^2 = 4 - x\) and y = 2z, we can set up a triple integral in cylindrical coordinates.
First, we need to determine the bounds for our variables. Since we are working in the first octant, we know that 0 <= z, 0 <= theta <= pi/2, and 0 <= r.
Next, we need to find the equation for the upper and lower bounds of z in terms of r and theta. We can start with the equation \(y^2 = 4 - x\) and substitute y = 2z to get:
\((2z)^2 = 4 - x\)
\(4z^2 = 4 - x\)
\(x = 4 - 4z^2\)
We can then use this equation along with the equation z = y/2 to get the bounds for z:
\(0 < = z < = (4 - x)^(1/2)/2 = (4 - 4z^2)^(1/2)/2\)
Squaring both sides, we get:
\(0 < = z^2 < = (1 - z^2)/2\)
\(0 < = 2z^2 < = 1 - z^2\)
\(z^2 < = 1/3\)
So the bounds for z are:
\(0 < = z < = (1/3)^(1/2)\)
Finally, we can set up the triple integral in cylindrical coordinates:
V = ∫∫∫ r dz dtheta dr
with bounds:
0 <= r
0 <= theta <= pi/2
\(0 < = z < = (1/3)^(1/2)\)
and integrand:
r
So the volume in the first octant bounded by y^2=4−x and y=2z is:
V = ∫∫∫ r dz dtheta dr
= ∫ from 0 to\((1/3)^(1/2) ∫ from 0 to pi/2 ∫ from 0 to r r dz dtheta dr\)
= ∫ from 0 to\((1/3)^(1/2) ∫ from 0 to pi/2 r^2/2 dtheta dr\)
= ∫ from 0 to\((1/3)^(1/2) r^2 pi/4 dr\)
\(= pi/12 (1/3)^(3/2)\)
= pi/36 sqrt(3)
Therefore, the volume in the first octant bounded by\(y^2=4−x\) and y=2z is pi/36 sqrt(3).
(2) To find the volume bounded by z = x^2 + y^2 and z = 4, we can use a triple integral in cylindrical coordinates.
First, we need to determine the bounds for our variables. Since we are working in the region where z is bounded by \(z = x^2 + y^2\) and z = 4, we know that 0 <= z <= 4.
Next, we can rewrite the equation \(z = x^2 + y^2\) in cylindrical coordinates as \(z = r^2.\)
So the bounds for r and theta are:
0 <= r <= 2
0 <= theta <= 2pi
And the bounds for z are:
\(r^2 < = z < = 4\)
Finally, we can set up the triple integral in cylindrical coordinates:
V = ∫∫∫ r dz dtheta dr
with bounds:
0 <= r <= 2
0 <= theta <= 2pi
\(r^2 < = z < = 4\)
and integrand: 1
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52÷25
What is the answer :)
Answer:
2.08 this is answer
data envelopment analysis (dea) is best used in an environment of low divergence and high complexity. t/f
True. Data Envelopment Analysis (DEA) is best used in an environment of low diverges and high complexity. In such situations, DEA can effectively analyze and compare the efficiency of decision-making units, even when dealing with multiple inputs and outputs.
Data Envelopment Analysis (DEA) is a method used to measure the efficiency of decision-making units. It works by analyzing a set of inputs and outputs to determine the relative efficiency of each unit. DEA is best suited for situations where there is low diverges among the units being analyzed, meaning they are all operating under similar conditions. Additionally, DEA is most effective in situations of high complexity, where there are multiple inputs and outputs that need to be considered. Therefore, the statement that DEA is best used in an environment of low divergence and high complexity is true.
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According to a research study, parents with young children slept 6.4 hours each night last year, on average. A random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. This data has a sample standard deviation of 0.9. (Assume that the scores are normally distributed.)
Researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year.
The null and alternative hypotheses are H0:μ=6.4 and Ha:μ>6.4, which is a right-tailed test.
The test statistic is determined to be t0=1.89
Using the partial t-table below, determine the critical value(s). If there is only one critical value, leave the second answer box blank.
df t0.10 t0.05 t0.025 t0.01 t0.005
... … … … … …
14 1.345 1.761 2.145 2.624 2.977
15 1.341 1.753 2.131 2.602 2.947
16 1.337 1.746 2.120 2.583 2.921
17 1.333 1.740 2.110 2.567 2.898
18 1.330 1.734 2.101 2.552 2.878
The critical value for a one-tailed test at the 5% significance level with 18 degrees of freedom is 2.878.
To determine this value, the researcher can use the partial t-table above. The first row of the table contains the degrees of freedom (df) and the last column (t0.005) contains the C. To find the critical value, the researcher would look for the row with df=18 and the column with t0.005. The value at the intersection of these two values is 2.878. Therefore, the critical value for this test is 2.878.
To compare the test statistic to the critical value, the researcher would subtract the test statistic from the critical value. If the difference is greater than 0, then the test statistic is greater than the critical value and the null hypothesis can be rejected. In this case, the difference is -0.988, which is less than 0. Therefore, the test statistic is less than the critical value and the null hypothesis cannot be rejected.
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porque el factor común está relacionado con la propiedad distributiva
Answer:
El factor común se relaciona con la propiedad distributiva, ya que el factor común corresponde a la agrupación de expresiones comunes en una operación, de manera que éstas lleguen a ser simplificadas
( 2 pts) Solve the equation \[ -4 x+7 y-3 z=17 \]
The solution to the equation is not unique because there are infinitely many possible solutions. However, we can express the solution in terms of two variables, let's say x and y, and represent z in terms of those variables.
To find the solution, we need to isolate one variable in terms of the others. Let's isolate z:
-4x + 7y - 3z = 17
-3z = 4x - 7y + 17
Divide both sides by -3:
z = (7y - 4x - 17)/3
In conclusion, the solution to the equation -4x + 7y - 3z = 17 is given by z = (7y - 4x - 17)/3, where x and y can take any real values. This represents an infinite number of solutions since x and y can be chosen arbitrarily. Thus, the solution is not unique.
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pleas help will mark brainlest the choices are at the bottom
Answer:
1. x is greater than -1
2. x is less than or equal to -1
3. x greater than or equal to -1
4. x is less than -1
Step-by-step explanation:
The filled in dots means it could be equal to, non-filled dots mean it can only be greater or less. When the variable is first, look at the direction of the line
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