The graph of a system of equations is
shown below.
a. (2,0) and (0,3)
b. (-40,-50)
c. the system has no solution
d. the system has infinitely many solutions
Answers
Answer:
The system has no solution.
Step-by-step explanation:
In order for the system to have a solution, both graphs must have an intercept to each others. We see in the picture that both graphs are parallel and do not have any interceptions which we don't know the solution to the system.
That means if graphs are parallel and have no interceptions, there are no solutions. The system of equations are for finding the interceptions of both graphs. But of course! Parallel lines do not intercept.
If you have any questions, feel free to ask.
Related Questions
Write a linear (y= mx + b), quadratic ( y= ax^2), or exponential (y=a(b)^x) function that models the data.
Answers
The type of function that models the data in the table is linear and the equation is y = 4x - 1
Identifying the type of function that models the data in the table?From the question, we have the following table of values that can be used in our computation:
The table of values
The above definitions imply that
As x increases by 1
y increases by 4
This means that the function is a linear function
Also, we have
Slope = 4/1
So, we have
Slope = 4
The equation is then calculated as
y = Slope * x + y-intercept
From the table, we have
y-intercept = -1
So, we have
y = 4x - 1
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You measure 39 textbooks' weights, and find they have a mean weight of 56 ounces. Assume the population standard deviation is 9 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight.
Give your answers as decimals, to two places
_____ < μ < _______
Answers
The 95% confidence interval for the true population mean is 53.18 < μ < 58.82
What is the 95% confidence interval?To construct a 95% confidence interval for the true population mean textbook weight, we can use the formula:
CI = x ± Z * (σ/√n)
where:
x is the sample mean,
Z is the critical value for the desired confidence level (95% confidence corresponds to Z = 1.96),
σ is the population standard deviation, and
n is the sample size.
In this case, the sample mean x is 56 ounces, the population standard deviation σ is 9 ounces, and the number of textbooks measured n is 39.
Plugging these values into the formula, we have:
CI = 56 ± 1.96 * (9/√39)
Calculating the values:
CI = 56 ± 1.96 * (9/√39)
CI = 56 ± 1.96 * (9/6.24)
CI = 56 ± 1.96 * 1.44
CI = 56 ± 2.82
Therefore, the 95% confidence interval for the true population mean textbook weight is approximately:
53.18 < μ < 58.82
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Write the equation of a line in slope intercept form that passes through (3,-2) and (0,-5)
Answers
Answer:
y=x-5
Step-by-step explanation:
First, you find the slope by -2-(-5)/3-0. This would be 3/3 which is equal to 1. Then you plug in the x with any point you want. I'm going to use (3,-2). The equation should look like -2=3+y. Now we find what is y. Therefore for this equation to be true. Y is equal to -5. Now put it all together. Y=x-5. You can use the other point to check my answer! Hope that helps!!
. Find the area under the standard normal curve. from z = 0 to z = 1.46 from z = -0.32 to z = 0.98 from z = 0.07 to z = 2.51 to the right of z = 2.13 to the left of z = 1.04|
Answers
The areas under the standard normal curve are:
From z = 0 to z = 1.46: approximately 0.4306From z = -0.32 to z = 0.98: approximately 0.6126From z = 0.07 to z = 2.51: approximately 0.4959To the right of z = 2.13: approximately 0.0161To the left of z = 1.04: approximately 0.8508What is the area under the standard normal curve?To find the area under the standard normal curve, we can use a standard normal distribution table or a calculator.
Area from z = 0 to z = 1.46:
Using a calculator, the area under the curve from z = 0 to z = 1.46 is 0.4306.
Area from z = -0.32 to z = 0.98:
Using a calculator, the area under the curve from z = -0.32 to z = 0.98 is 0.6126.
Area from z = 0.07 to z = 2.51:
Using a calculator, the area under the curve from z = 0.07 to z = 2.51 is 0.4959.
Area to the right of z = 2.13:
Using a calculator, the area to the right of z = 2.13 is 0.0161.
Area to the left of z = 1.04:
Using a calculator, the area to the left of z = 1.04 is 0.8508.
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Find m∠MON..........
Answers
LOM + MON = LON in measure, so
9x + 44 + 6x + 3 = 77
15x + 47 = 77
15x = 30
x = 2
MON = 6x + 3
= 6(2) + 3
= 12 + 3 = 15°
Hello, can someone please assist me with this problem.
Answers
The Pythagorean theorem is:
a^2 + b^2 = c^2
a = 1 and b = 3
1^2 + 3^2 = c^2
10 = c^2
square root of 10 = c
Now that we know the length of the side, we can find the area of the square. Area of a square = side^2, so:
Area = (square root of 10)^2 = 10
The area of the square is 10!
Use the given conditions to write an equation for the line Passing through ( - 3,8) and parallel to the line whose equation is 3x - By - 7 = 0 The equation of the line is (Simplify your answer. Type an equation using x and y as the variables.
Answers
The equation of the line parallel to 3x - By - 7 = 0 and passing through (-3, 8) is B*y - 8B = -3x - 9.
To find the equation of a line parallel to the given line, we need to determine the slope of the given line. The equation of the given line is 3x - By - 7 = 0.
We can rewrite this equation in the slope-intercept form (y = mx + b), where m represents the slope and b is the y-intercept. By rearranging the equation, we have:
By - 7 = -3x
By = -3x + 7
Dividing both sides by B (assuming B ≠ 0):
y = (-3/B)x + 7/B
From the equation y = (-3/B)x + 7/B, we can see that the slope of the given line is -3/B.
Since the line we're looking for is parallel to the given line, it will have the same slope. Therefore, the slope of the line we seek is also -3/B.
We are given that the line passes through the point (-3, 8). We can use the point-slope form of a line to find the equation:
y - y1 = m(x - x1)
Substituting the values (-3, 8) for (x1, y1) and -3/B for m:
y - 8 = (-3/B)(x - (-3))
y - 8 = (-3/B)(x + 3)
Multiplying through by B:
By - 8B = -3(x + 3)
Simplifying:
B*y - 8B = -3x - 9
The equation of the line parallel to 3x - By - 7 = 0 and passing through (-3, 8) is B*y - 8B = -3x - 9.
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You will get 40 points if you help me and Brainliest!
Answers
Answer:
The answer is c It is hard to explain so sorry
Answer:
C
Step-by-step explanation:
The bus spans from 10 to 20 the absolute value of that is 10 the teachers span from 15 to 30 the absolute value of that is 15 making the teachers 5 miles more than the buses.
PL Price of adm Cost per ride Total cost PL Price of ad Cost per ride. I NEED HELLLLPPPPPP ASAPPPPP
Answers
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Write a rule for the nth term of the geometric sequence:
a3=54, a6=1458
Answers
Answer:
tn = -1350 + 468n
Step-by-step explanation:
First, we need to find the difference.
1458 - 54 / 6 - 3
= 468
Now we need to find the first term.
t3 = t1 + (n - 1) (d)
54 = t1 + (3 - 1)(468)
54 = t1 + (2)(468)
54 = t1 + 936
-882 = t1
The rule is:
tn = -882 + (n-1) (468)
tn = -882 + 468n - 468
tn = -1350 + 468n
Find the value of x, then find each angle measure.
Answers
Answer:
x = 9
m<J = 57
m<K = 44
m<L = 79
Step-by-step explanation:
Theorem:
The sum of the measures of the angles of a triangle is 180°.
We add the measures of the angles, and set the sum equal to 180. Then we solve for x, and use the value of x to find the measure of each angle.
7x - 6 + 3x + 17 + 9x - 2 = 180
Combine like terms on the left side: 7x + 3x + 9x = 19x and -6 + 17 - 2 = 9
19x + 9 = 180
Subtract 9 from both sides.
19x = 171
Divide both sides by 19.
x = 9
Now we find the measure of each angle.
m<J = 7x - 6 = 7(9) - 6 = 63 - 6 = 57
m<K = 2x + 17 = 3(9) + 17 = 27 + 17 = 44
m<L = 9x - 2 = 9(9) - 2 = 81 - 2 = 79
In one year, a principal of $1000 led to an accumulation of $1100 .
The annual percentage yield ( APY ) for this investment is 9 % .
True
False
Answers
In one year, a principal of $1000 led to an accumulation of $1100. The annual percentage yield ( APY ) for this investment is 9 %. False.
The annual percentage yield (APY) is not 9% in this case. The APY takes into account the compounding of interest over the course of a year and provides a more accurate representation of the actual return on the investment. In this scenario, the investment of $1000 growing to $1100 in one year represents a simple interest rate of 10%. The APY would be higher than 10% if the interest was compounded.
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If a pack of highlighter costs 2.40 what is the cost Per highlighter, in dollars and cent
Answers
From the information you gave me, I am going to guess it is a 4 pack of highlighters.
Answer: $0.60 per highlighter
Explanation: To find the unit rate of an item, take the price ($2.40) and divide it by the amount of the product included (4).
Pleaseee answer these two questions helppppp ill give you brainliest answer if you knowwww help pleaseeee
Answers
Answer:
The theoretical probabilty of the coin landing on tails is 50/50 so their is a 50% chance of it landing on tails so theoretically it would land on tails 15 out of 30 times
Step-by-step explanation:
A hovercraft takes off from a platform it’s height (in meters), x seconds after takeoff, is modeled by
H(x)= -3(x-3)^2+108
What is the height of the hovercraft at the time of takeoff?
PLS I NEED THIS ASAP
Answers
9514 1404 393
Answer:
81 m
Step-by-step explanation:
Since x is seconds after takeoff, the value of x at takeoff is 0. You are being asked to find H(0).
H(0) = -3(0 -3)^2 +108 = -3(9) +108 = 81
The height of the hovercraft at the time of takeoff is 81 meters.
The cost of renting a bicycle, y, for
x hours can be modeled by a linear
function. Renters pay a fixed insurance
fee of $12 plus an additional cost of $10
per hour, for a maximum of 6 hours.
What is the range of the function for this
situation?
Answers
Answer:
Step-by-step explanation:
9x - 1 / 2 + 9/2 x = 0.128886 (43)
2 / 5x - 1b = 4/3 - 1 - 1 = 2x (4)
= x1 + 24 - 3/4 + 8
9/3 - 1 x = /3
anyone know the answers to 3, 4, 5 and six
Answers
what is the diameter of a circle with a circumference of 56 inches?
Answers
Answer:
17.83in
Step-by-step explanation:
Diameter of circle with circumference 56 inches 17.81 inches .
Given,
Circumference = 56 inches
Now,
Circumference of circle = 2πr
r = radius of circle.
Substitute the values to get the value of radius,
56 = 2 × π × r
56 = 2× 22/7× r
r = 56 × 7/44
r = 8.909 inches.
Next,
Diameter = 2 (Radius)
Diameter = 2 * 8.909
Diameter = 17.81 inches .
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(450) + (28.75x) = 967.50
solve for x
Answers
Answer:
18
Step-by-step explanation:
Hello,
In order to solve for x, we need to isolate the variable on one side of the equation.
To do this, we subtract 450 from both sides of the equation, and this will give you:
28.75x = 517.5
As mentioned, we need to isolate x, so we divide both sides by 28.75. This will give the following.
x = 18
Hope this helps!
if you order one donut, and you know that it is not the blueberry one, what is the probability that it is the chocolate one?
Answers
Given that you order one donut and you know that it is not the blueberry one. We need to determine the probability that it is the chocolate one.
Say we have 3 flavors of donuts such as Blueberry, Chocolate and Glazed. There are a total of 3 possibilities for the first choice. If we assume that the person randomly selects one of these donuts, each donut is equally likely to be chosen.
Here, The donut selected is not the blueberry one and we need to find the probability that it is the chocolate one. Number of blueberry donuts = 1Probability of choosing the blueberry donut = 1/3 (Since there are 3 possible donuts and only 1 of them is the blueberry one) Therefore, the probability of choosing a chocolate donut is 1 - 1/3 = 2/3.
Similarly, the probability of choosing a glazed donut is also 2/3. Thus, the probability of choosing a chocolate donut or a glazed donut is 2/3. Answer: 2/3.
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Can someone please tell me the answers
Answers
Answer:
3. [tex]190yd^{2}[/tex] 4. [tex]45cm^{2}[/tex]
Step-by-step explanation:
Area of trapezoid = half the sum of the parallel sides/ bases x the perpendicular height
3. Area of trapezoid = [tex]\frac{(b_{1} +b_{2} )h}{2}[/tex]
= [tex]\frac{(17+21)10}{2}[/tex]
= [tex]\frac{380}{2}[/tex]
= [tex]190yd^{2}[/tex]
4. Area of trapezoid = [tex]\frac{(b_{1} +b_{2} )h}{2}[/tex]
= [tex]\frac{(4.5+5.5 )9}{2}[/tex]
= [tex]\frac{90}{2}[/tex]
= [tex]45cm^{2}[/tex]
hope this helps :)
Lin understands that expanding is using the distributive property, but she doesn’t understand what factoring is or why it works. How can Kiran explain factoring to Lin?
Answers
Answer:
doing this so other guy gets brainliest
Step-by-step explanation:
Pls help me I don't get it.
Pls indicate steps
Answers
I'm having trouble reading, could you type out what is on the picture? I'll edit my answer then.
Answer:
x = -3, y = 3
Step-by-step explanation:
multiply the equation 3y - x = 12 by 3:
=> 9y - 3x = 36
now add the two equation 9y - 3x = 36 and 3x + 4y = 3 together to eliminate x and solve for y:
=> 9y - 3x = 36
+) 4y + 3x = 3
______________
13y = 39
=> y = 3
substitute y = 3 into the original equation 3y - x = 12 to solve for x:
3(3) - x = 12
=> -x = 12 - 9
=> -x = 3
=> x = -3
what are the next three terms of the following sequence
1,4,6,11,21,38
Answers
The next three terms of the sequence 1, 4, 6, 11, 21, 38 are 70, 123, 216.
To find the next term in the sequence, we need to identify the pattern or rule governing the sequence. Looking at the given terms, we can observe that each term is obtained by adding the previous term and a specific number.
From the given sequence:
4 = 1 + 3
6 = 4 + 2
11 = 6 + 5
21 = 11 + 10
38 = 21 + 17
The difference between the consecutive terms appears to be increasing by 1 each time. So, we can infer that the next difference would be 17 + 1 = 18.
Now, to find the next term:
38 + 18 = 56
56 + 19 = 75
75 + 20 = 95
Therefore, the next three terms of the sequence are 70, 123, 216.
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Hey I know this is kind of a lot but can someone pls help.
Answers
Answer:
J) x = 6; slope is undefined
Step-by-step explanation:
Choice F is incorrect because the equation and slope. Choice G is incorrect because the slope. And, Choice H is incorrect because the equation and the slope.
Please help me!!! I will try to mark brainliest if the answer is correct!
Answers
Answer:
I think the first is answer bcz 35+55=90 ..... 180-90=90
In a poll, students were asked to choose which of six colors was their favorite. The circle graph shows how the students answered. If 10000 students participated in the poll, how many chose Orange?
Answers
Answer:
2100
Step-by-step explanation:
10,000 x 21%
10000 x 0.21 = 2100
Find the area of the figure.
Answers
Answer:
192.2
Step-by-step explanation:
The formula for area of a rectangle is A= base times height’
15.5 x 12.4= 192.2
CAN SOMEONE PLEASE HELP ME
Answers
Please help me with this
Answers
Answer:
join
Step-by-step explanation:
meet./vyc-hwbw-svg
Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
(1)
Here m = 2 and (a, b) = (- 1, 3 ) , then
y - 3 = 2(x - (- 1) ), that is
y - 3 = 2(x + 1)
(2)
Here m = - 5 and (a, b) = (4, 0 ) the coordinates of the x- intercept
y - 0 = - 5(x - 4) , that is
y = - 5(x - 4)