system of linear equations includes the line that is created by the equation y = x+ 3, graphed below, and the line through the points (3, 1) and (4, 3). On a coordinate plane, a line goes through (0, 3) and (2, 5). What is the solution to the system of equations? (–1, 2) (1, 3) (8, 11) (9, 12) Mark this and return
The solution of the system of equations is (8, 11).
What is the solution of the system of equations?We know that one of the equations of the system is:
y = x + 3
And the other line passes through the points (3, 1) and (4, 3), then the slope of that line is:
a = (3 - 1)/(4 - 3) = 2
So the line is something like:
y = 2*x + b
To find the value of b, the y-intercept, we can replace the values of one of the points.
I will use (3, 1)
1 = 2*3 + b
1 = 6 + b
1 - 6 = b
-5 = b
So the other line is y = 2x - 5
Then the system of equations is:
y = x + 3
y = 2x - 5
Now we can solve the system:
x + 3 =2x - 5
3 + 5 = 2x -x
8 =x
The x-value of the solution is 8, then the only option that can be correct is.
(8, 11)
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The median, upper and lower quartiles, fourth and seventh deciles, and fiftieth and 65th percentiles of a distribution of a continuous variable were calculated as:
63.94, 66.50, 73.67, 72.0, 60.63, 70.57 and 58.12
Identify the median, quartiles, deciles, and percentiles
does anyone have the keys for edmentum guided notes!!! please help
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given this equation, what is the value of y at the indicated point?
(6,y)
y^2 = x - 3
Please Help. am very stuck!
The value of y at the indicated point is √3.
What is a square root function?In Mathematics and Geometry, a square root function refers to a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.
In this scenario and exercise, we would determine the y-value by substituting the x-value into the given square root function as follows;
y² = x - 3
By taking the square root of both sides of the square root function, we have:
y = √(x - 3)
When x = 6, the y-value is given by;
y = √(6 - 3)
y = √3
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Audrey made the input-output table below.
Answer: B) It is a multiplicative, because the output is equal to the input times 2.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
3+3 = 6
5+3=8
7+3=10
9+3=12
11+3=14
braniliest?
PLEASE HELP ASAP
solve -1/6[3-15(1/3)2]
Answer:
C) -2/9
Step-by-step explanation:
\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)
Answer:
Hence, Option (C) - 2/9 is the Answer:
Step-by-step explanation:
-1/6 [3 -15(1/3)^2]
-1/6(3 -15)(1/9))
-1/6(3 - 5/3)
-1/6 (4/3)
Hence, Option (C) - 2/9 is the Answer:
I hope it helps!
I need help pleaseeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation: [-2.19] = -3
[3.67] = 3
[-0.83] = -1
The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.
This can be generalized as given below:
[x] = -2, -2 ≤ x < -1
[x] = -1, -1 ≤ x < 0
[x] = 0, 0 ≤ x < 1
[x] = 1, 1 ≤ x < 2
Answer:
y = - \(\frac{3}{2}\) x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line
m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then
y = - \(\frac{3}{2}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (0, 0 )
0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so
c = 0
y = - \(\frac{3}{2}\) x + 0 , that is
y = - \(\frac{3}{2}\) x
9(2n+1) help please brooooooo
Answer:
18n + 9
Step-by-step explanation:
Distribute 9 into the expression.
9*2n = 18n
9*1 = 9
18n + 9
How many bucket loads would it take to bucket out the world’s ocean
Answer:
Impossible to know, or best guess
Step-by-step explanation:
It is impossible to determine exactly how many bucket loads it would take to empty the world's ocean because the volume of the ocean is constantly changing due to factors such as tides, currents, and sea level rise. However, we can estimate the approximate volume of the ocean and calculate the number of bucket loads needed based on that estimate.
The approximate volume of the world's ocean is 1.332 billion cubic kilometers (km³) or 332.5 million cubic miles (mi³). Assuming that each bucket can hold 10 liters or 0.01 cubic meters (m³) of water, we can calculate the number of bucket loads needed to empty the ocean as follows:
1 km³ = 1,000,000,000 m³
1,332,000,000 km³ = 1.332 x 10¹⁸ m³
1.332 x 10¹⁸ m³ / 0.01 m³ per bucket = 1.332 x 10²⁰ bucket loads
Therefore, it would take approximately 1.332 x 10²⁰ or 133,200,000,000,000,000,000 bucket loads to empty the world's ocean. This number is so large that it is practically impossible to even visualize, let alone accomplish.
Another answer provided by our lord and savior (That one green ai)
write the two tenths closest to 0.446 in the place-value chart.
Answer:
1,2
Step-by-step explanation:
The place-value chart's two tenths closest to 0.446 is 0.4. We can determine the place value of each digit based on its location in a number using the place value chart, which is a very useful table structure.
What is meant by place value chart?The place value chart is a very helpful table structure that enables us to determine each digit's place value based on where it is in a number. On the place value chart, a digit's place value increases as we move left and drops as we move right by a factor of ten.
Using a place value chart, we may compare the place values of the digits in a number and determine a digit's exact position. In this graph or figure, the place value of a number's digits increases as we move to the left and drops as we move to the right.
Given
0.446
In ones place is 0
In tens place is 4
In hundredth place is 4
In thousand place is 6
Therefore, The place-value chart's two tenths closest to 0.446 is 0.4.
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The following figure is made of 2 triangles and 1 rectangle.
Find the area of each part of the figure and the whole figure
Answer:TriangleA-15
Triangle B-24
Triangle C-9
Whole figure-48
Step-by-step explanation:
Answer:
Answer:TriangleA-15Triangle B-24Triangle C-9Whole figure-48
Step-by-step explanation:
What prediction is made for the year 1995?
14.01
What value could be predicted in the year 2025?
Would you describe this correlation as strong, moderate, or weak?
The actual value for the number of texts in the year 2000 was 30 trillion. Quantify: How does this compare to the prediction?
The actual value of 30 trillion is
than the predicted value in the year 2000.
It would be moderate corellation
Find the balance earned on an account that has $60,000 deposited for 6 years at 1.125% interest compounded continuously? Please help
Answer:
The balance of the account is $64,190.
Step-by-step explanation:
The amount of money after t years of continous compounding is given by the following equation:
\(P(t) = P(0)e^{rt}\)
In which P(0) is the initial deposit and r is the interest rate, as a decimal.
$60,000 deposited for 6 years at 1.125% interest compounded continuously.
This means that \(P = 60000, r = 0.01125, t = 6\)
So
\(P(6) = 60000e^{0.01125*6} = 64190\)
The balance of the account is $64,190.
What is the slope of the line on the graph?
Answer: -1/5
Step-by-step explanation:
how bc i just did this on a esiment and you just devid you rpoints
Given that p(x)=2(5−x)2+1 , what is the value of p(-4)? Responses
Answer:
37
Step-by-step explanation:
x=-4
=2(5-(-4)2+1
=2(5+4)2+1
=2(9)2+1
=18(2)+1
=36+1
=37
This graph shows how fast a commuter train travels on its route in an urban area. What is the meaning of the point with an x-coordinate of 4
The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
From the graph, the x coordinate 2, have a y coordinate of 120. Hence:
The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.
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Albert's mom bought
5 2/3
pounds of potatoes. There are 5 people in Albert's
family and they all eat the same amount of potatoes.
How many pounds of potatos will Albert eat?
Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. (1 point) −15 −8 10 25
Answer:
-15
Step-by-step explanation:
When functions are "nested" like this (nested is not a math word; the mathy word is composed or composition) you need to start all the way on the inside.
f(g(-3))
means find g(-3) first, then put that answer into f.
g(x) = x - 7
g(-3) = -3 - 7
g(-3) = -10
We found g(-3) is -10, so now put -10 into f.
f(x) = 2x + 5
f(-10) = 2(-10) + 5
= -20 + 5
= -15
b) In a certain weight lifting machine, a weight of 1 kN is lifted by an effort of 25 N. While the weight moves up by 100 mm, the point of application of effort moves by 8 m. Find mechanical advantage, velocity ratio and efficiency of the machine
The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.
The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.
The problem has provided the following information:
Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m
We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage
The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;
Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;
Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5
Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.
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Select the correct answer.
The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. Using a table of values, how many terms are in this geometric series?
According to the definition of geometric series, there are five terms in the geometric series. (Correct choice: D)
How many terms are in a geometric series?
A geometric series is a expression represented by a exponential function of the form:
y = a · rˣ (1)
Where:
x - Index of the x-th element.r - Common ratioa - First term of the geometric series.y - Value of the x-th element.In this question we need to derive how many terms are in the sum of the geometric series described above: (a = - 3, r = 6)
y = - 3 · 6⁰ - 3 · 6¹ - 3 · 6² - 3 · 6³ - 3 · 6⁴
y = - 3 · 1 - 3 · 6 - 3 · 36 - 3 · 216 - 3 · 1,296
y = -4,665
According to the definition of geometric series, there are five terms in the geometric series. (Correct choice: D)
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Simplify the linear expression.
−5/8a+2/3−1/4a−5/6
Enter your answer as simplified fractions in the boxes.
Brainliest to quickest and right answer
Answer:
-7/8a-1/6
Step-by-step explanation:
Math! Help Marking brainliest if it's correct and Explain
Answer:
Option C : Step 3After harvesting, she weighs each pumpkin on a scale and records its height
In the equation (x-3)²+(y-2)2=16, the radius of the circle is...
16
3
32
4
Step-by-step explanation:
This is of the form
(x-h)^2 + ( y-k)^2 = r^2 so r^2 = 16 means r = 4 units
1) Find all the critical numbers of the given function
f(x) = X 1 - 4
-
3
Answer:
(0,-4)
Step-by-step explanation:
Given
\(f(x) = x^\frac{1}{3} - 4\)
Required
Determine the critical numbers
\(f(x) = x^\frac{1}{3} - 4\)
Differentiate:
\(f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}\)
\(f'(x) = \frac{1}{3}x^{-\frac{2}{3}}\)
Equate to 0
\(f'(x) = \frac{1}{3}x^{-\frac{2}{3}} = 0\)
\(\frac{1}{3}x^{-\frac{2}{3}} = 0\)
Multiply through by 3
\(3 * \frac{1}{3}x^{-\frac{2}{3}} = 0*3\)
\(x^{-\frac{2}{3}} = 0\)
\(x = 0\)
Substitute 0 for x in \(f(x) = x^\frac{1}{3} - 4\)
\(f(0) = 0^\frac{1}{3} - 4\)
\(f(0) = 0- 4\)
\(f(0) = - 4\)
Hence, the critical point is: (0,-4)
if P(x) = 3x
4 + 7x
3 − 2x
2 + 5x − 7, find:
i) P(−2)
Answer:
The value of c so that (x + 1) is a factor of the polynomial p(x) = 5x^4 + 7x^3– 2x^2– 3x + c is equal to 1
Solution:
Given polynomial is as follows
Also given that (x+1) is factor of given polynomial p(x).
Need to determine value of constant c.
We will be solving above problem using factor theorem.
Factor theorem says that if ( x – a) is a factor of any polynomial f(x) , then f(a) = 0.
As in our case f(x) = p(x) and factor of p(x) is (x + 1) , which can be rewritten as (x – ( -1)) , so "a" in our case is -1 .
According to factor theorem p(-1) = 0
On substituting x = -1 , in given expression of p(x) we get
Hope this helps you
Step-by-step explanation:
Determine the slope of the line represented by the table of values and the y-intercept
The slopes and the y - intercepts of the lines represented by the tables are calculated below.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given are the tables representing the coordinates [x] and [y].
Table [1]
m = (5 - 3)/(-1 + 2) = 2
[y] - intercept = 7
Table [2]
m = (2 - 5)/(-2 + 3) = -3
[y] - intercept = -4
Table [3]
m = (-13 + 17)/(2 - 1) = 4
-1 = 4 x 5 + c
c = - 1 - 20 = - 21
[y] - intercept = - 21
Table [4]
m = (-9 + 4)/(-5 + 6) = - 5
-6 = - 5 x - 4 + c
c = - 26
[y] - intercept = - 26
Table [5]
m = (6 - 3)/(1 - 0) = 3
[y] - intercept = 3
Table [6]
m = (2 - 5)/(-1 + 2) = - 3
[y] - intercept = - 3
Table [7]
m = (6/5 - 2/5)/(0 + 2) = 2/5
[y] - intercept = 6/5
Table [1]
m = (2 - 1)/(1 + 1) = 1/2
[y] - intercept = 1.5
Therefore, the slopes and the y - intercepts of the lines represented by the tables are calculated above.
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9f^2–10– 1+2f^2+ – 7f^2
(NO LINKS)
(LINKS WILL BE REPORTED)
Answer:
4f² - 11
Step-by-step explanation:
first group the like terms
9f²-2f²-7f² is all like terms
-10-1 are like terms
9f²-2f²-7f² -10-1
4f² - 11
How many solutions does the nonlinear system of equations graphed below have?
Answer:
Four
Step-by-step explanation:
I recoloured the hyperbola to enfasize the two different equations (the other is a circle. The solution of the equations are the point where the two graphs touch, which are circled in black.
I am a parallelogram. Two of my sides are parallel to the bottom of the paper. The endpoints of the bottom side are at (2, 5) and (9, 5). The slope of the line segments that form my two sides is 0.75, and the length of each side is 5 units. What are my other two vertices?
According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).
How to find the vertices of the parallelogram?To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,
m = slope(x1, y1) = point on the lineFor the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = 0.75(x - 2)Simplifying, we get:
y = 0.75x + 3.5To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:
y = 0.75(7) + 3.5 = 8Therefore, the vertex at the top right of the parallelogram is (7, 8).
For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = -0.75(x - 9)Simplifying, we get:
y = -0.75x + 11.25To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:
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I am stumped >:( ahhhhhhh
Answer:
\(\frac{1}{32} yards^{3}\)
Step-by-step explanation:
\(V=w*h*l\)
↓
\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)
=
\(\frac{1}{32} yards^{3}\\\)
Hope this helps!