y = A system of equations. y equals StartFraction one-half EndFraction x minus 6. x equals negative 4.x – 6 x = –4 What is the solution to the system of equations? (–8, –4) (–4, –8) (–4, 4) (4, –4)
Answer:
B. (-4, -8) Is the answer to the problem
Step-by-step explanation:
Otherways to say:
1. The second option
2. B
3. II
4. (-4, -8)
Edge Format:
(-8, -4)
(-4, -8)
(-4, 4)
(4, -4)
That way, there is no reason not to give brainliest or bellow 5 stars.
The solution to the system of the equations is (-4, -8).
What is system of equations?"It is a finite set of equations for which we find the common solution."
What is equation?"It is statement which consists of equal symbol between two algebraic expressions."
For given example,
we have the first equation,
\(y =\frac{1}{2}x-6\)
and the second equation x = -4
Substitute x = -4 in the first equation,
⇒ y = (1/2)×(-4) - 6
⇒ y = -2 - 6
⇒ y = -8
Therefore, the solution to the system of the equations is (-4, -8).
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PLEASE HELP 100 POINTS PLEASE
Answer:c
Step-by-step explanation:
Answer:
Your answer is C
Step-by-step explanation:
Amanda jogged 7.75 laps around a track. Each lap is 1/4 mile. How many laps did Amanda jog ?
Answer:
31 laps
Step-by-step explanation:
Take the total distance and divide by the distance each lap is
7.75 ÷ .25
31
Amanda jogged 31 laps
Write an inequality for the graph
The inequality that represents the line in the figure will be y > - (2/3) x + 3.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
From the figure, the points of the line are (0, 3) and (3, 1). And the region above the line is a consideration. Then the equation of the line is given as,
(y - 3) > [(3 - 1) / (0 - 3)](x - 0)
Simplify the equation, then we have
(y - 3) > [(3 - 1) / (0 - 3)](x - 0)
(y - 3) > - (2/3)x
y > - (2/3) x + 3
The disparity that addresses the line in the figure will be y > - (2/3) x + 3.
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You are a for-hire motor carrier. Subpart A requires you to maintain a minimum level of financial
responsibility when transporting any quantity of what type of material in intrastate commerce?
A. All hazardous material
B. Class 7 material
C. Division 1.2 explosive material
D. Nonbulk oil
E. Nonbulk hazardous materials
You have to maintain a minimum level of financial responsibility when transporting any type of hazardous material in intrastate commerce Option A is correct.
What is Interstate commerce?Interstate commerce refers to any transaction or movement of goods, services, or money over state lines.
You operate a motor carrier for hire. When shipping any quantity of hazardous material in intrastate trade, A mandates that you maintain a minimum degree of financial accountability.
Hence option A is correct.
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Answer: A is correct
Step-by-step explanation:
y 10- 9 8 6 5 4 2 1 2 3 4 5 6 7 8 9 10 What is the equation of the blue line? X
Therefore , the solution of this is the required system of equation is,
y=-x+6 and y=x+10.
Explain the equation.A mathematical equation is a formula that links two statements by indicating their equivalence with the equal sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The relationship between two sentences on either side of a letter is expressed mathematically. There is frequently only one variable, which doubles as the symbol. say that 2x - 4 Equals 2.
Here,
(0,6) and the blue line pass through them (-2,8). You may figure out the equation for the blue line as,
=> y-6/x-0 = 8-6 /-2-0
=>y-6/x = 2/-2
=> y-6=-1(x)
y=-x+6
(-2, 8) and the red line pass through them (-3,7). The red line's equation can be calculated as,
y-8/x- (-2) = 8-7 /-2-(-3)
y-8 /x+2 = 1
y-8=x+2
y = x + 10
Thus, the required system of equations is,
y=-x+6 and y=x+10.
Therefore , the solution of this is the required system of equations is,
y=-x+6 and y=x+10.
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What is the greatest common factor of 8,16,40
Step-by-step explanation:
To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.
Let's first find the prime factorization of each number:
- 8 = 2 * 2 * 2
- 16 = 2 * 2 * 2 * 2
- 40 = 2 * 2 * 2 * 5
Now, let's identify the common factors by finding the minimum exponent for each prime factor:
- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).
- 5 is not a common factor since it appears only in the prime factorization of 40.
The GCF is obtained by multiplying the common factors with their respective minimum exponents:
GCF = 2^2 = 4
Therefore, the greatest common factor of 8, 16, and 40 is 4.
find the missing coordinate of p, using the fact that p lies on the unit circle in the given quadrant. ( , -7/25) is in the 4th quadrants
The missing x coordinate is (24/25).
What is a Circle ?
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
As per the given data:
p lies on the unit circle
radius of circle = 1 unit
p is in 4th quadrant:
Let's assume p as (x, (-7/25))
equation of the circle:
x² + y² = 1
x² + (-7/25)² = 1
x² = 1 - (49/625)
x² = (576/625)
x = ± 24/25
But as point is in 4th quadrant, x will be positive.
x = (24/25)
The coordinate of point p is ((24/25), (-7/25))
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Given sinz = -4/5 for pi < z < (3pi)/2, find the value of cosz.
The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.
Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.
According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.
The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:
Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25
Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.
So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.
Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.
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5 There are 5 times as many chickens as horses on a farm.
There are 10 horses.
(a) How many chickens are there?
B) how many more chickens than horses
Answer:
A) 50
B) 40
Step-by-step explanation:
A) 10 x 5 = 50
B) 50 - 10 = 40
Frank had 42 rocks that he wanted to share with his friends. If he gave each friend the same number of rocks(and kept the same number of rocks for himself), how many rocks did each person get ?
Answer:6. 42 split 7 ways is 6
Step-by-step explanation:
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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write an equation for the line through the point (-7,-4) and parallel to the line y=8x-4 in point-slope form
The equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52
How to determine the equation of the second line?The first equation is given as
y = 8x - 4
The slope of the above equation is
m = 8
Parallel lines have equal slope
So, the slope of the other line is
m = 8
The equation is then calculated as
y = m(x - x1) + y1
Where
m = 8
(x1, y1) = (-7, -4)
So, we have
y = 8(x + 7) - 4
Expand
y = 8x + 56 - 4
Evaluate the difference
y = 8x + 52
Hence, the equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52
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Morgan cycled from Town A to Town B at an average speed of 15 km/h. She reached Town B at 6 P.M. If she increased her average speed to 20 km/h, she would arrive at 5 P.M. At what time would she arrive at Town B if she cycled at an average speed of 25 km/h?
Answer: Morgan will arrive at Town B at 5pm - 36 minutes = 4:24pm if she cycled at an average speed of 25km/h.
Step-by-step explanation: To solve this problem, we can use the formula: distance = speed x time.
We know that at 15km/h, Morgan reaches Town B at 6pm, and at 20km/h, she reaches Town B at 5pm.
We can use this information to find the distance between Town A and Town B and the time it takes to travel this distance at 25 km/h.
First, let's find the distance between Town A and Town B:
distance = speed x time
distance = 15 km/h x time
time = distance / 15 km/h
time = (distance / 15) hours
Since we know that when Morgan travel at 15km/h to reach town B at 6pm, we can use the time to calculate the distance:
time = 6pm - 5pm = 1hour
distance = 15 km/h x 1 hour = 15 km
Next, we can use this distance and the new speed 25km/h to calculate the arrival time:
time = distance / speed
time = 15 km / 25 km/h = 0.6 hours = 36 minutes
So, she will arrive at Town B at 5pm - 36 minutes = 4:24pm if she cycled at an average speed of 25km/h.
Please note that this calculation is assuming that the distance between Town A and Town B is a constant, and assuming that the time of arrival at 15km/h and 20km/h are accurate.
Exam Questions
James finds a hotel to book for 6 nights in Cape Town.
The hotel has an offer for the time they will be staying,
Special Offer
4 nights for the price of 3
Double room
2170 South African Rand per night
James books one double room for 6 nights.
At the time of booking he pays a deposit of 15% of the total cost
He will pay the rest of the total cost when they arrive at the hotel.
(a) How much will James have to pay when they arrive at the hotel?
Answer:chciken
Step-by-step explanation:
can someone please tell me these answers
Answer: For Y the rate of change is +4
For the rate of x its +5
Step-by-step explanation:
2 1/4 divided by 1 1/2
Answer: 3/2
Step-by-step explanation:
Answer:
3/2 or 1 1/2
Step-by-step explanation:
\(2\frac{1}{4}/1\frac{1}{2} \\\frac{9}{4}/\frac{3}{2} \\(\frac{9}{4})(\frac{2}{3})\\\frac{18}{12} \\\frac{3}{2} or 1\frac{1}{2}\)
Find the 36th term.
5, 8, 11, 14, 17, ...
36th term = [?
Answer:
110
Step-by-step explanation:
nth term = 3n + 2
3 (36) + 2
108 + 2 = 110
Answer:
The 36th term in the sequence is 104.
Here's how to find it:
- Start with the first number in the sequence: 5.
- Add the common difference, which is 3, to get the second number in the sequence: 8.
- Add the common difference to the second number to get the third number: 11.
- Continue adding the common difference to each subsequent number to find the next term in the sequence.
- The 36th term is three less than 37 times the common difference added to the first term.
- Using that formula, we can calculate the 36th term as: 5 + (36 - 1) * 3 = 5 + 105 = 110.
- Therefore, the 36th term in the sequence is 104.
Emails arrive randomly on Oliver's computer at an average rate of 1.46 per hour. Stating a necessary assumption, find the probability that between 9.00am and 11.30am Oliver receives: (i) no emails
The probability that Oliver will receive no emails in between 9.00am and 11.30am is 2.599%.
What is Poisson Distribution?Poisson Distribution is defined as a discrete distribution which measures the likelihood of happening an event in a certain period of time.
The formula for Poisson distribution is,
P(x) = (e^(-λ) λˣ) / x!
Given that,
Average rate of arrival of emails in an hour = 1.46 per hour
Between 9.00 am and 11.30 am, there are 2.5 hours.
Average rate of arrival of emails in 2.5 hours = 2.5 × 1.46
= 3.65
So, λ = 3.65
x = 0 (since no emails.)
P(0) = (e^(-3.65) (3.65)⁰) / 0!
= e^(-3.65)
= 0.02599
= 2.599%
Hence the probability is 2.599%.
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Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
i need help with the question please
The equation 32 - 3x + 13 = 0 can be rewritten as 3x = 19. Therefore, x = 19/3. Because x is a real number, the solution to the equation is x = 19/3.
What is real number ?Real numbers are any number that can be expressed as a decimal number or a fraction. This includes the natural numbers (1,2,3,4, etc.), the negative numbers (-1,-2,-3, etc.), the rational numbers (fractions, such as 1/2, 3/4, etc.), and the irrational numbers (numbers that cannot be expressed as a fraction, such as pi, square root of 2, etc.). Real numbers can be manipulated with basic arithmetic operations such as addition, subtraction, multiplication, and division. Real numbers have an infinite number of decimal places, making them useful for measuring physical quantities such as time, distance, and temperature.
Expressing this answer in the form a + bi, where a and b are real numbers, gives the solution a = 19/3 and b = 0. Therefore, the answer is 19/3 + 0i = 19/3.
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4,320 is divisible by please show your work
Answer:
The numbers that 4320 is divisible by are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, and 4320.
Step-by-step explanation:
Because if u multiply 1 and 4320, you get 4320
then if you multiply 2 and 2160, you get 4320
and just keep doing that with all of the other numbers
Find the area of the figure. (Sides meet at right angles.)
5 yd
4 yd
2 yd
2 yd
yd
2 yd
4 yd
Answer:
1,024yd
Step-by-step explanation:
a=a to the second,= 32(2)= 1,024
End the area under the standard normal curve to the left of z = -1.5 and to the right of z = -1.1. Round your answer to four decimal places if necessary
For this problem we will find the area to the right of z and the area to left of z seperately
To the right, area under the normal standard curve =
\(Pr(z\ge-1.1)\)\(Pr(-1.1\leq z\leq0)\text{ + Pr(z}\ge0)\)\(Pr(0\leq z\leq1.1)\text{ + Pr(z}\ge0)\)=0.3643+ 0.5 = 0.8643
To the left
\(\begin{gathered} Pr(z\leq-1.5) \\ =\text{ Pr(z}\leq0)-\text{ Pr(-1.5}\leq z\leq0) \\ =\text{ Pr(z}\leq0)-Pr(0\leq Z\leq1.5) \\ =\text{ 0.5 - 0.4332} \\ =\text{ 0.0668} \end{gathered}\)set up the triple integral of an arbitrary continuous function f(x, y, z) in cylindrical coordinates over the solid shown. f(x, y, z) dv e
Answer: 19, 15
f=5 x,y,z and the coordinates are equal to 3 so the answer is 19, 15 lol
The triple integral of the function is \(I_E = \int\limits^3_0 \int\limits^{2\pi}_0\int\limits^2_0 {(rf(r, \theta, z))} \, dzd\theta\ dr\)
What are cylindrical coordinates?Cylindrical coordinates can be defined as an extension of polar coordinates to space. The variables r and θ is maintained and one of the three rectangular coordinates is added, in the case of the exercise the variable z is added.
The solid is the portion of the cylinder of radius 3 and height 2 that is in the first octant.
We can use the cylindrical coordinates to pose the triple integral.
\(I_E = \int\limits\int\limits\int\limits{(f(x, y, z))} \ dV\) {triple integral in rectangular coordinates}
\(D_{cc} = [(r, \theta, z) | 0 \leq r\leq 3, 0\leq \theta\leq \pi /2,0\leq z\leq 2]\) {region in cylindrical coordinates}
\(I_E = \int\limits\int\limits\int\limits{(f(r, \theta, z))} \ r dz d\theta dr\) {triple integral in cylindrical coordinates}
\(I_E = \int\limits^3_0 \int\limits^{2\pi}_0\int\limits^2_0 {(rf(r, \theta, z))} \, dzd\theta\ dr\)
Hence, the triple integral of the function is \(I_E = \int\limits^3_0 \int\limits^{2\pi}_0\int\limits^2_0 {(rf(r, \theta, z))} \, dzd\theta\ dr\)
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simplify (2/3 of 21/4)
Answer: 3 1/2
Step-by-step explanation:
"Of" is the same as multiplication so,
2/3 × 21/4=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
2 × 2/13 × 4 = 42/12
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 42 and 12 using
GCF(4/2 , 1/2) = 6
4/2 ÷ 6 1/2 ÷ 6 = 7/2
The fraction
7/2
is the same as
7÷2
Convert to a mixed number using
long division for 7 ÷ 2 = 3R1, so
7/2 = 3 1/2
Therefore:
2/3 of 21/4 = 3 1/2
Hopefully, I Helped
A local water park has two types of season passes. Plan A costs a one-time fee of $125 for admission plus $8 for parking every trip. Plan B costs a one-
time fee of $41 for parking plus $20 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?
O4 visits
O 14 visits
08 visits
07 visits
Answer:
40+8X=50+23X
8X-23X=50-140
-15X=-90
X=-90/-15
X=7 TRIPS IS THE ANSWER.
PROOF:
140+8*6=50+23*6
140+48=50+138
188=188
Graham wrote the system of equations.
6x−8y=−16y=34x+8
What is true about the system of equations that Graham wrote?
A
It has no solution.
B
It has 1 solution.
C
It has 2 solutions.
D
It has infinitely many solutions.
Answer:
B
Step-by-step explanation:
6x -8y = - 16y
6x = -8y
8y = 17x + 4
-8y = -17x - 4
6x = -17x - 4
23x = -4
x = -4/23
The graph below shows the relationship between the number of months different students practiced boxing and the number of matches they won:
The title of the graph is Boxing Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 21 at increments of 3, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 3 and 1, 6 and 2, 7 and 3, 9 and 4, 11 and 5, 13 and 6, 14 and 7, 16 and 8, 17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 4 and 2, 7.1 and 4, 11 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
Answer:
(a) y intercept is approximately 4.3
(b) \(y = 1.5x+4.5\)
Step-by-step explanation:
Given
See attachment for graph
Solving (a) The y intercept
This is the point where \(x =0\)
From the attached graph; By observation
\(y \approx 4.3\) when \(x =0\)
So, the y intercept is approximately 4.3
Solving (b): The equation of best fit.
First, calculate the slope of the line using:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Where
\((x_1,y_1) = (9,18)\)
\((x_2,y_2) = (8,16.5)\)
So:
\(m = \frac{16.5- 18}{8 - 9}\)
\(m = \frac{-1.5}{- 1}\)
\(m = 1.5\)
The equation is then calculated using:
\(y =m(x - x_1) + y_1\)
Where: \(m = 1.5\) and \((x_1,y_1) = (9,18)\)
\(y = 1.5(x - 9) + 18\)
\(y = 1.5x - 9*1.5 + 18\)
\(y = 1.5x - 13.5 + 18\)
\(y = 1.5x+4.5\)
TRUE/FALSE. when we conduct time series forecasting it is safest to utilize regression analysis, because then we will not be extrapolating.
When we conduct time series forecasting it is safest to utilize regression analysis, because then we will not be extrapolating the above statement is False.
Regression analysis is a group of analytical techniques used to measure the relationships between a dependent variable and one or more independent variables. It may be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.
Models that evaluate the connection between a dependent variable and an independent variable include simple linear regression. The following equation represents the simple linear model:
Y = a + bX + ϵ
Regression analysis is the most secure method for time series forecasting since it involves extrapolation.
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