Nancy can buy maximum 8 video games.
How to solve inequality?Steps to solve inequality:
Get rid of all fractions by multiplying all terms by the fractions' lowest common denominator. Simplify the inequality by merging like terms on each side.To get the unknown on one side and the numbers on the other, add or subtract the appropriate amounts. multiply each term in the inequality by the unknown coefficient.The inequality will not change if the coefficient is positive.
The inequality will be the other way around if the coefficient is negative.
If Nancy wants to keep at least $120 in her account and at present, she is having $240
So, she can spend = 240-120= $120
And, one video game price= $15
Let us consider she can buy maximum 'X' games
15×X=$120
X = 8 units
Hence, she can buy a maximum of 8 video games.
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HELP PLEASE! I WILL GIVE BRAINLIEST
The maximun value (63) is located at point (1, 2).
Step-by-step explanation:Used method: Graph method from operations research.1. Graph the restrictions.Check attached image 1.
The purple coloured area represents the resulting area of possible answers that meet all the requirements established by the restrictions within the cartesian plane.
2. Find all extreme values.In this step, we need to look for extreme values, these are normally found on the edges and corner of the area drawn by all the restrictions.
Check attached image 2 to see the extreme values.
Point A is located at: (-3, -2)
Point B is located at: (-3, -4)
Point C is located at: (3, -4)
Point D is located at: (1, 2)
3. Evaluate all extreme points using the given function.Given function: [tex]P=10x+6y+41[/tex]
Since we are tryong to obtain the point where there is a maximun value for function "P", we need to evaluate all the extreme points and choose the one that makes the function return the maximum value out of all 4 points.
Evaluating the points:
[tex]P(-3, -2)=10(-3)+6(-2)+41=-1\\ \\P(-3, -4)=10(-3)+6(-4)+41=-13\\ \\P(3, -4)=10(3)+6(-4)+41=47\\ \\P(1, 2)=10(1)+6(2)+41=63[/tex]
4. Conclude.The maximun value (63) is located at point (1, 2).
Note:There's a different method called "Simplex" that can also be used to solve these type of optimization problems. It's more complicated but can be useful when working with more than 2 variables.
Which system of linear inequalities is graphed?
y ≤3x-2
x+ 2y≥4
y≥3x-2
x+2y ≤4
y< 3x-2
x+2y>4
y>3x-2
x+2y <4
The system of linear inequalities is graphed is y≥3x-2; x+2y ≤4. Hence option b is the correct.
What is inequality?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
The graph consists of two inequalities.
Since the graph lines are solid, thus the inequality sign either "less than or equal" or "greater than or equal".
First find the equation of line.
One line passes through the points (0,2) and (4,0).
The equation of line that passes through the point (a,0) and (0,b) is
x/a + y/b = 1
The equation of the line is x/4 + y/2 =1
(x + 2y)/4 = 1
x + 2y = 4
The equation of the inequality will be either x + 2y ≤ 4 or x + 2y ≥ 4.
Putting x =0 and y = 0 in x + 2y ≤ 4
0 + 0 ≤ 4
0≤ 4 (true)
In the graph (0,0) includes in the shaded region. Therefore the inequality is x + 2y ≤ 4.
The second line passes through the points (0,-2) and (3,7).
If a line passes through the points (x₁, y₁) and (x₂, y₂), then the equation of line is y - y₁ = [(y₂ - y₁)/(x₂ - x₁)](x - x₁).
The equation of the line is
y - 7 = (7 + 2)/(3 - 0)(x - 3)
y - 7 = 3x -9
y = 3x - 2
The equation of the inequality will be either y ≥ 3x-2 and y ≤ 3x-2:
Putting x =0 and y = 0 in y ≥ 3x-2
0 ≥ 0-2
0 ≥ -2 true
In the graph (0,0) includes in the shaded region. Therefore the inequality is y ≥ 3x-2.
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Determine the probability: There is a 40% chance of rain this weekend.
a. 0.60
b. 0.40
c. 40
d. 4
Answer:
Step-by-step explanation:
download short story a vacation trip roger paré pdf free
To find a book it is necessary to write the name "a vacation trip" in the search engine and add the word PDF to obtain better results.
¿How to download a book from the internet?To download a book from the Internet it is necessary to review various pages since some do not contain the complete book and others may have some type of virus that can damage the device.
In the same way, there are some platforms or applications that require a subscription payment to be able to access the content in an unlimited way.
¡Hope this helped!
Specific entries in a two dimensional array dataMatrix are identified by a logical index array logicalSelect. Assign the first numSelected of the selected elements to an array selectedData. Ex: If dataMatrix is [-2, 3, 6; 5, 78, 44; 9, -3, -53], logicalSelect is [ 1, 0, 0; 0, 0, 1; 1, 1, 1], and numSelected is 4, then selectedData is [-2; 9; -3; 44].
The first numSelected of the selected elements to an array selectedData is assigned in the programme.
Explain the term two dimensional array?Although the data are still saved linearly in memory, a two-dimensional array is a type of data structure that consists of a set of cells arranged in a two-dimensional grid, much like a table with columns and rows.The program for the given condition is-
function selectedData = SelectLogicalN( dataMatrix, logicalSelect, numSelected )
% SelectLogicalN: Return the first numSelected values of input 2D
% array dataMatrix indexed by localSelect indexing array.
%Inputs: dataMatrix - input data matrix (2D array)
%logiccalSelect - logical indexing array, can be 2D or linear
%numSelected - number of indexed elements to return in selectedData%
%Outputs: selectedData - column vector of logically indexed elements to return
dataMatrix = dataMatrix(logical(logicalSelect));
% assign tempSelected with logically indexed elements of dataMatrixtemp
Selected = dataMatrix
% find the size of tempSelected
s=size(tempSelected);
% remove the last element from the temp
SelectedselectedData =tempSelected
(1:s-1)end
Thus, the first numSelected of the selected elements to an array selectedData is assigned in the programme.
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Find the values of x and y.
Answer:
x = 30y = 5Step-by-step explanation:
You want to know the values of x and y in the given figure.
Equilateral triangleThe left-side triangle has angles marked as congruent. Hence it is an equilateral triangle, which also has congruent sides.
8y = 40
y = 40/8 = 5
Isosceles triangleThe angle at the middle of the longest line is supplementary to the adjacent angle in the equilateral triangle, hence is 120°.
The marked side length of 40 and the equilateral triangle side length of 40 mean the triangle on the right is an isosceles triangle with an a.pex angle of 120°. Its congruent base angles (x°) must be (180° -120°)/2 = 30°.
x° = 30°
The values of x and y are 30 and 5, respectively.
help. plsss i dont understand so gimme a answer or something
Describe how the given function can be obtained by transforming the graph of the reciprocal function f(x)=x/1
(Just do letter A ty)
Translate the graph [tex]5[/tex] units right, reflect over the [tex]x[/tex]-axis, and then perform a vertical stretch with a factor of [tex]3[/tex].
The number line shows the elevation of the bottom of a harbor and the elevation of a fish swimming closer to the surface A what change in elevation is necessary for the fish to reach bottom B once the fish reaches the bottom what change in elevation will bring it back up to the surface
The elevation needs to be smaller than the decrease of the elevation like this.
What is the elevation on the number line?
The elevation of a location describes its height above or below the sea level, which has an elevation of 0. Elevations below the sea level are represented by negative numbers, and elevations above the sea level are represented by positive numbers.
Whatever number is larger than the number of the elevation of the bottom of the harbor
the elevation needs to be smaller than the decrease of the elevation like this.
e.g.
The temperature elevated by 28 degrees and then decreased by 30 degrees.
Hence, the elevation needs to be smaller than the decrease of the elevation like this.
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PLEASE HURRY I NEED TO FINISH MY TEST!!
Determine which integer in the solution set will make the equation true.
8x − 4 = 2(2x + 4)
S: {−4, 0, 3, 12}
A.−4
B.12
C.0
D.3
Answer: x=3
Step-by-step explanation:
When you plug in each number only 3 is the right answer.
A. 8(-4)-4=2(2(-4)+4)
-36=8 False
B. 8(12)-4=2(2(12)+4)
92=56 False
C. 8(0)-4=2(2(0)+4)
-4=8 False
D. 8(3)-4=2(2(3)+4)
20=20 True
how manys pounds of mixed nuts that contain 20% peanuts must eugene add to 16 pounds of mixed nuts that contain 70% peanuts to make a mixture with 60% peanuts?
We might add 10 pounds of mixed nuts which include 20% peanuts by solving the governing equations.
What are equations?An equation is a claim that shows the equality of two mathematical expressions.
For instance, the equal sign separates the two equations that make up the equation 3x + 5 = 14: 3x + 5 and 14.
So, we need a total of x pounds of mixed nuts.
Peanuts weigh 0.70 pounds in this combo.
Three pounds of peanuts are used to create the 20% mixture, or 0.20*15.
The equation we got: 0.70 x + 3 = 0.40(x + 15)
Now, solve as follows:
0.70 x + 3 = 0.40(x + 15)
0.70 x + 3 = 0.40(x + 15)
0.70x + 3 = 0.40x + 6
0.70x - 0.40x = 6 - 3
0.30x = 3
x = 10 pounds
Therefore, we might add 10 pounds of mixed nuts which include 20% peanuts by solving the governing equations.
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The radius of a cylindrical construction pipe is 2.5. If the pipe is 28ft long, what is its volume?
Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:V = 550 ft^3
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h
We know the radius is 2.5 and the height is 28
V = 3.14 * (2.5)^2 * 28
V =549.5 ft^3
Rounding to the nearest whole number
V = 550 ft^3
Hello can someone please help me out? Thank you i will give brainly
Answer:
Area = 28.27 in²
Step-by-step explanation:
Now we have to,
→ find the area of the circle.
Formula we use,
→ π × r²
Now the required area will be,
→ π × r²
→ 3.14 × 3²
→ 3.14 × 9
→ 28.27 in²
Hence, the area is 28.27 in².
A bag contains 12 red, 3 blue, and 5 yellow marbles, what is the probability of drawing a blue or yellow marble?
Answer:
the chance to pull a blue marble is 3/20
the chance to pull a yellow marble is 5/20
9. RWS congruent to TUV. Find the values of x and y.
The value of x would be 11° and the value of y would be 6.
What are congruent triangles?
Two triangles are congruent if all of their sides are the same - so side, side, side. We also know they are congruent if we have a side and then an angle between the sides and then another side that is congruent-- so side, angle, side.
ΔRWS ≅ ΔTUV
As both triangles are congruent then we can say that
∠S ≅ ∠V
so ∠S = 29°
Now in ΔRWS,
By using the sum of all angles of the triangle property, we can write
∠R +∠W + ∠S = 180°
(8x - 27)° + 90° + 29° = 180°
8x = 180° - 92°
8x = 88°
x = 88/8
x = 11°
Now Side RS ≅ Side TV
3y + 7 = 25
3y = 25 - 7
3y = 18
y = 18/3
y = 6
Hence, the value of x would be 11° and the value of y would be 6.
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A manufacturing company finds that they can sell 250 items at $3.50 per item and 350 items at $2.50 per item.
If the relationship between the number of items sold a and the price per item p is a linear one:
Find a formula that gives a in terms of p: x =
Now use the formula to find the number of items they will sell if the price per item is $1.50.
They will sell…
items if the price is $1.50.
Answer:
a = 600 -100pa = 450 for p = 1.50Step-by-step explanation:
You want the formula that represents (p, a) = (3.50, 250) and (2.50, 350) as a linear function. Then you want the value of 'a' for p = 1.50.
SlopeWe can see from the ordered pairs that 'a' goes up by 100 when p goes down by 1.00. The slope is ...
m = ∆a/∆p = 100/(-1) = -100
InterceptThe y-intercept (b) can be found by solving the slope-intercept equation for b:
y = mx +b
b = y - mx
For (x, y) = (3.50, 250), the value of 'b' is ...
b = 250 -(-100)(3.50) = 600
EquationThe slope-intercept equation for 'a' in terms of p is ...
a = -100p +600
Evaluation
The value of 'a' for p = 1.50 is ...
a = -100(1.50) +600
a = 450
They will sell 450 items if the price per item is $1.50.
help meeeeeeeeeee pleaseee
There would be 52 atoms after 25 years and it would take 13 years for half the number of atoms to remain.
What is radioactive decay?We know that the term radioactive decay has to do with the break down of a substance to form the daughter nuclei of the particular element. In this case, we have the decay function of the element to be; A(t) =200e^-0.054t.
t is the time taken for decay.
Now in 25 years we would have;
A(t) =200e^-0.054(25)
A(t) = 52 atoms
The time that it would take for half of the original number to remain is obtained from;
100 = 200e^-0.054t
100/200 = e^-0.054t
0.5 = e^-0.054t
ln(0.5) = -0.054t
t = ln(0.5)/-0.054
t = 13 years
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Coin's family has driven 318 miles in 6 hours. If they continue at this rate how far will they travel during the next 4 hours. complete the proportional statement with the selections.
Hello,
I hope you and your family are doing well!
To solve this problem, you need to set up a proportion using the information given in the problem. Let x represent the number of miles the family will travel during the next 4 hours. The proportion will look like this:
318 miles / 6 hours = x miles / 4 hours
To solve for x, you can cross-multiply and solve the equation:
318 miles / 6 hours = x miles / 4 hours
6 hours * 318 miles = 4 hours * x miles
1848 miles = 4x miles
x = 462 miles
Therefore, if the family continues at the same rate, they will travel a total of 462 miles during the next 4 hours.
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solve 6(z-1) + 14 = -40
Answer:
z = -8
Step-by-step explanation:
6(z-1) + 14 = -40
6z - 6 + 14 = -40 Distribute the 6
6z + 8 = -40 Combine Like Terms
6z = -48 Subtract 8 on Both Sides
z = -8 Divide by 6 on Both Sides
You have one type of candy that sells for $2.00/lb and another type of candy that sells for $8.90/lb. You would like to have 55.2 lbs of a candy mixture that sells for $2.50/lb. How much of each candy will you need to obtain the desired mixture?
You will need ___ lbs of the cheaper candy
and ____ lbs of the expensive candy.
You will need 51.2 lbs of the cheaper candy and 4 lbs of the expensive candy.
What is equation of two variables?A equation is supposed to be straight condition in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight conditions in two factors
According to given information:Let x be number of pounds of cheaper candy and y represent that of expensive candy.
Then, x + y = 55.2----(1)
And
2x + 8.9y = 55.2(2.5) = 138
2x + 8.9y = 138---------(2)
On solving above two equation, we get
x = 51.2
y = 4
Thus, cheaper candy are of 51.2 ib and expensive are of 4 ib
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The two figures are congruent. Find the measure of the requested side or angle
angle A = 63.7°, B= 26.3°, D= 49° , then angle C = 221
What are congruent shapes?Two shapes that are the same size and the same shape are congruent.Congruent shapes are shapes that are exactly the same.
The corresponding sides are the same and the corresponding angles are the same.
This means the corresponding angles of the two shapes are equal.
With this, angle A = 63.7°, angle B= 26.3° , angle D =49°
The sum of angles in a quadrilateral is 360°
therefore angle C = 360-(63.7+49+26.3)
C = 360-139
C = 221°
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What is the sum of the series sum from n equals 1 to infinity of negative 3 times three eighths to the n power question mark
Answer:
[tex]\textsf{A)} \quad -\dfrac{9}{5}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}[/tex]
Given sum:
[tex]\displaystyle \sum^{\infty}_{n=1} -3\left(\dfrac{3}{8}\right)^n[/tex]
Therefore, the first term in the series is:
[tex]a_1=-3\left(\dfrac{3}{8}\right)^1=-\dfrac{9}{8}[/tex]
The common ratio, r, is:
[tex]r=\dfrac{3}{8}[/tex]
Substitute the first term, a, and common ratio, r, into the formula:
[tex]\implies S_{\infty}=\dfrac{-\frac{9}{8}}{1-\frac{3}{8}}[/tex]
[tex]\implies S_{\infty}=\dfrac{-\frac{9}{8}}{\frac{5}{8}}[/tex]
[tex]\implies S_{\infty}=-\dfrac{9}{5}[/tex]
Therefore, the sum of the given series is:
[tex]-\dfrac{9}{5}[/tex]The lengths of footlong sub sandwiches at a local sub shop follow an approximately normal distribution with unknown mean
and standard deviation 0.2 inch. If 20% of these sandwiches are shorter than 11.7 inches, find the mean length u.
Mean
inches
(Round to 2 decimal
Answer:
Step-by-step explanation:
Consider all three-digit numbers that can be created from the digits 0-9 where the first and last digits must be even and no digit can repeat. Assume that numbers can start with 0. What is the probability of choosing a random number that starts with 6 from this group? Enter a fraction or round your answer to 4 decimal places, if necessary.
The probability of choosing a random number that starts with 6 from this group is 1/5 Or 0.2.
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, All three-digit numbers that can be created from the digits 0-9.
So, The digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 total of 10 digits.
No. of even digits is 4 and the number of odd digits is 5.
The total number of 3 digits that can be formed where the first and last digits must be even and no digit can repeat and can start with 0 is,
= 5×10×4.
= 200.
The number of digits starts with 6 in this group is,
= 1×10×4.
= 40.
∴ The probability of choosing a random number that starts with 6 from this group is (40/200) = 1/5 Or 0.2
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UV ≅ ST, QR ≅ PQ, QT ≅ QU, and PV ≅ RS. Complete the proof that ∠V ≅ ∠S.
The two column proof in completed as follows
Statement Reason
1 line UV ≅ line ST Given
2 line QR ≅ line PQ Given
3 line OT ≅ line OU Given
4 line PV ≅ line RS Given
5 PT = PQ + QT Additive Property of Length
6 RU = QR + QU Additive Property of Length
7 PY = QR + QU Substitution
8 PT = RU Transitive Property of Equality
9 TV = UV + TU Additive Property of Length
10 SU = ST + TU Additive Property of Length
11 TV = ST + TU Substitution
12 SU = TV Transitive Property of Equality
13 ΔSUR ≅ ΔVTP SSS
14 ∠V ≅ ∠S CPCTC
What is congruency of triangle?Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules
Some of the rules include
Side - Side - Side = SSSSide - Angle - Side = SASAngle - Side - Angle = ASA Angle - Angle - Side = AAS Hypotenuse and one leg = HLThe problem requires the prove by Side - Side - Side = SSS rules to ensure that the the triangles are congruent
The SSS have it that the two triangles being compared should have their three sides being are equal then the triangles are congruent
Achieving the SSS rules then by Corresponding Parts of Congruent Triangles are Congruent CPCTC theorem ∠V ≅ ∠S
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A farmer needs to pack 2,903 apples into crates to ship to supermarkets. Each crate can hoid
only 30 apples. Choose true or false for each statement.
A. The farmer needs 96 crates to ship out all apples. True or False
B. The farmer needs 97 crates to ship out all the apples. True or False
C. At least one of the crates will not be filled to capacity. True or False
D. To determine the number of crates needed, divide 30 by 2,903. True or False
A farmer needs to pack 2,903 apples into crates to ship to supermarkets. Each crate can hold only 30 apples. Choose true or false for each statement.
A. The farmer needs 96 crates to ship out all apples. False
B. The farmer needs 97 crates to ship out all the apples. True
C. At least one of the crates will not be filled to capacity. True
D. To determine the number of crates needed, divide 30 by 2,903. False
Answer:
A. False, you will need another crate in order for all of the apples to be shipped to the supermarkets.
B. True, this will hold all of the apples with some extra space left in the last crate.
C. True, 2,903 divided by 30 is 96.76666666666667. Meaning that one of them won't have exactly 30 apples.
D. False, you divide 2,903 by 30.
Given g(x) = 3x + 6, identify the domain, range, and x-intercept of the function. Domain: 3 < x < 6; Range: −6 < y < ∞; x-intercept (2, 0) Domain: 3 < x < 6; Range: −∞ < y < 6; x-intercept (−2, 0) Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (2, 0) Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (−2, 0)
The linear function g(x) = 3 · x + 6 has the following features:
Domain: - ∞ < x < + ∞
Range: - ∞ < y < + ∞
x-Intercept: (- 2, 0)
How to find the domain, range and x-intercept of a linear function
In this problem we must determine the domain, the range and the x-intercept of a linear function, that is, a polynomial of the form y = m · x + b, where m is the slope and b is the x-intercept. We must find the information by understanding the following features:
The domain of a linear function is all real numbers.The range of a linear function is all real numbers. The y-intercept of the function is the point of the linear function where x = 0.If we know that the function is g(x) = 3 · x + 6, then its domain and range are - ∞ < x < ∞ and - ∞ < y < ∞ and its x-intercept is:
0 = 3 · x + 6
- 3 · x = 6
x = - 2
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Step-by-step explanation:
The given function is g(x) = 3x + 6.
Domain: The domain of a function is the set of all possible input values (x) for which the function is defined. Since the function is a linear equation, it is defined for all real values of x. Therefore, the domain of the function is: Domain: -∞ < x < ∞ Range: The range of a function is the set of all possible output values (y) that the function can produce. The slope of the given function is positive (3), so the function increases without bound as x increases.
Therefore, the range of the function is: Range: -∞ < y < ∞ x-intercept: The x-intercept of a function is the point at which the graph of the function intersects the x-axis. To find the x-intercept, we set y = 0 and solve for x. 0 = 3x + 6 -6 = 3x -2 = x Therefore, the x-intercept is (-2, 0).
So, the correct option is: Domain: -∞ < x < ∞; Range: -∞ < y < ∞; x-intercept (-2, 0).
What is the mean of this data 678,592,652,800,502,396,502,301
Hello,
I hope you and your family are doing well!
To find the mean of a set of numbers, you need to add up all of the numbers and divide the sum by the total number of numbers in the set.
In this case, the mean would be calculated as follows:
(678 + 592 + 652 + 800 + 502 + 396 + 502 + 301) / 8 = 515.25
So the mean of this data set is 515.25.
The mean is a measure of the central tendency of a data set and can be used to represent the entire set of numbers by giving a single value that is representative of the set as a whole. It is also known as the average.
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Here is a system of equations: (3x - y = 17 x+4y =10 .Solve the system by graphing the equations (by hand or using technology).
how do you solve it step by step ?
The graph of the system of equations is shown below, and the solution is: (6, 1).
What is the Solution of a System by Graphing?When a system of equations are plotted on a graph, the lines of the two equations in the system will intersect at a point. The coordinates of that point represents the solution of the system of equations.
In the graph shown below in the attachment, the red line represents the line 3x - y = 17, which has a slope of 3 and intercepts the y-axis at -17.
The green line represents the equation, x + 4y = 10, which has a slope of -1/4 and a y-intercept of 2.5.
Both lines intersect at point (6, 1).
Therefore, the solution is (6, 1)
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A figure was rotated 270° clockwise about the origin.
Which is most likely the new figure?
Answer:
Step-by-step explanation:
It will lie in quadrant 3
Step-by-step explanation:
Here, we want to know where the resulting image will lie after the rotation
After the rotation, it is expected that the resulting image will lie in quadrant 3
First 90 to quadrant 1
second 90 to quadrant 2
Third 90 to quadrant 3
Answer:
B is the correct answer
Step-by-step explanation:
i think:)