Answers
Given,
The system of inequalitites are,
\(\begin{gathered} 2x+3y>0 \\ x-y\leq5 \end{gathered}\)The graph of the inequalities is,
The are three possible solution for the inequality.
For (0, 0),
\(\begin{gathered} 2x+3y>0 \\ 2(0)+3(0)>0 \\ 0>0 \\ \text{Similarly,} \\ x-y\leq5 \\ 0-0\leq5 \\ 0\leq5 \end{gathered}\)For (3, -2),
\(\begin{gathered} 2x+3y>0 \\ 2(3)+3(-2)>0 \\ 0>0 \\ \text{Similarly,} \\ x-y\leq5 \\ 3-(-2)\leq5 \\ 5=5 \end{gathered}\)For (5, 0),
\(\begin{gathered} 2x+3y>0 \\ 2(5)+3(0)>0 \\ 5>0 \\ \text{Similarly,} \\ x-y\leq5 \\ 5-(0)\leq5 \\ 5=5 \end{gathered}\)Hence, the solution of the inequalities is (5, 0).
Related Questions
Miguel earns extra money washing cars on the weekend. He washes 5 cars per hour and earns $14.50 per car. How much does Miguel earn for 4 hours of washing cars
Answers
Answer:
$290
Step-by-step explanation:
I took the test on K12 and got it right. :3
Miguel earns $290 for 4 hours of washing cars.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Miguel earns extra money washing cars on the weekend.
He washes 5 cars per hour and earns $14.50 per car.
In an hour, he earns,
= 5 x 14.50 (applying multiplication operation)
= $72.5
Miguel earn for 4 hours of washing cars,
= 72.5 x 4 (applying multiplication operation)
= $290
Therefore, the earned amount is $290.
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How would I start this?
Answers
Answer:
(0, ∞)
Step-by-step explanation:
A good place to start is by visualizing what the graph looks like on a number line.
For x > 0, it is an open circle at x=0, and shading to the right extending to infinity.
__
So, the left end of the interval is 0, but 0 is not included in the interval.
The right end of the interval is infinity, but there is no such number, so "infinity" is not included in the interval.
"Not included" means you use round brackets ( ) for the corresponding end of the interval. ("Included" would mean you use square brackets [ ].)
So, the interval 0 < x < ∞ is written in interval notation as ...
(0, ∞)
Regina is buying a new car. She sees two advertisements in the paper for the same car at two different prices from two different dealerships. Both dealers are offering a simple-interest loan for the price of the car. A photo of car includes two ads. Ad A shows the vehicle priced at twenty-four thousand two hundred dollars at six point five percent interest and an unknown number of years. Ad B shows an unknown price, at a five point three percent interest over nine years. Question 1 Part A Regina calculates that to buy the car in Ad A, the loan would ultimately cost her $41,503. Over how many years is the loan in Ad A to be paid back?
Answers
Answer:
11 years
Step-by-step explanation:
Given that:
Advert A:
Principal, p = $24,200
Interest rate, r = 6.5% = 6.5/100 = 0.065
Time, t =?
Total Repayment, A = $41,503
Using the relation :
A = p(1 + rt)
Plugging our values
41503 = 24200(1 + 0.065t)
41503 / 24200 = 1 + 0.065t
1.715 = 1 + 0.065t
1.715 - 1 = 0.065t
0.715 = 0.065t
t = 0.715 / 0.065
t = 11 years
Loan in Advert A will be paid back in 11 years
Answer:
11 years
Step-by-step explanation:
Given that:
Advert A:
Principal, p = $24,200
Interest rate, r = 6.5% = 6.5/100 = 0.065
Time, t =?
Total Repayment, A = $41,503
Using the relation :
A = p(1 + rt)
Plugging our values
41503 = 24200(1 + 0.065t)
41503 / 24200 = 1 + 0.065t
1.715 = 1 + 0.065t
1.715 - 1 = 0.065t
0.715 = 0.065t
t = 0.715 / 0.065
t = 11 years
Loan in Advert A will be paid back in 11 years
Why is the answer 2 in the subtractive equation 1+1?
Answers
Answer:
That's not a subtractive equation, the symbol that you used indicates that it is an addition equation. if the question was 1-1 then the answer wouldn't be 2 but since the question is 1+1 the answer is 2
Step-by-step explanation:
1. Annel sells a phone which costs $180 and earns 5% commission. What is the dollar
amount of commission that Annel earns?
A $189
B $9
C $109
D $90
Answers
Answer:
B) $9
Step-by-step explanation:
5% can also be written as 0.05
Dividing a percentage by 100 gives you decimal form.
The question is asking for the amount of commission earned, not the total amount. This means that all we have to do is do:
$180 x 0.05 = $9
The factory makes 400 cars per day. If the workday is eight hours long. What is the hourly rate at which car are produced
Answers
Answer:
50
Step-by-step explanation:
400/8 =50
Given that M is the midpoint of line segment AC, AM = x + 20, and MC = 5x - 4. Find the lenght of AM.
Answers
Answer:
6 units
Step-by-step explanation:
AM = MC
AM = x + 20
MC = 5x - 4
x + 20 = 5x - 4
20 = 4x - 4
24 = 4x
x = 6
The required length of the AM is 27.
Given that,
M is the midpoint of line segment AC,
AM = x + 20, and MC = 5x - 4.
To find the length of AM.
The midpoint is that point the line whose distance from both the ends of the line is equal.
Here,
M is the midpoint of line segment AC, i.e.
AM = AC - - - - - - - - - - -- - - (1)
AM = x + 20, and MC = 5x - 4
Put AM and MC in equation 1
x + 20 = 5x - 4
5x - x = 20 + 4
4x = 24
x = 24 / 4
x = 7
Now,
Length AM = x + 20
Length AM = 7 + 20
Length AM = 27
Thus, the required length of the AM is 27.
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1. What is the equation for the line through the point (1,2) with m = -3/4.
2. What is the equation for the line through 9-2,1) & (3,4)
Answers
The equation for the line through the point (1,2) with m = -3/4 is y = -3 / 4 x + 11 /4
The equation for the line through (-2,1) & (3,4) is y = 3 / 5x + 11 / 5
How to find the equation of a line?The equation of a line in slope intercept form is as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the equation for the line through the point (1,2) with m = -3/4 is as follows:
y = - 3 / 4 x + b
2 = -3 / 4(1) + b
b = 2 + 3 / 4 = 8 + 3 /4 = 11 / 4
b = 11 / 4
Hence,
y = -3 / 4 x + 11 /4
The equation of the line that passes through (-2, 1)(3, 4)
m = 4 - 1 / 3 + 2 = 3 / 5
Therefore,
1 = 3 / 5 (-2) + b
1 + 6 / 5 = b
b = 1 + 6 / 5 = 5+6 / 5 = 11 / 5
b = 11 / 5
y = 3 / 5x + 11 / 5
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Bryan invests $6500 in two different accounts. The first account paid 11 %, the second account paid 7 % in interest. At the end of the first year he had earned $519 in interest. How much was in each account?
$ at 11 %
$ at 7 %
Answers
Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.
The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).
According to the problem, the total interest earned after one year is $519. So we can set up the equation:
0.11x + 0.07(6500 - x) = 519
Simplifying the equation:
0.11x + 455 - 0.07x = 519
0.04x + 455 = 519
0.04x = 64
x = 64 / 0.04
x = 1600
Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
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System A
−10x−4y=0
−2x+7y=8
System B
−10x−4y=8
−2x+7y=0
1) How can we get System B from System A?
(Choice C, Checked, Correct)
CORRECT (SELECTED)
Swap only the right-hand sides of both equations
2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?
CORRECT (SELECTED)
No
Answers
For the given systems we have:
1) Swap the right sides of both equations in system A.
2) No, the systems are not equivalent systems.
How can we get System B from System A?
The two systems are:
A:
-10x - 4y = 0
-2x + 7y = 8
B:
-10x - 4y = 8
-2x + 7y = 0
Notice that the only different thing between the systems is that the right sides are inverted. So, if we invert the right side of A, we will get system B.
2) Are the systems equivalent?
No, the systems are not equivalent because to go from system A to system B we only modified the right side of system A, the systems would be equivalent only if modifying both sides of A gave system B, but this is not the case.
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When calculating slopes, and your x1 and x2 are both negatives and your Y1 and Y2 are both positives what will be the outcome?
Answers
Step-by-step explanation:
Result could be pos or neg
example ( all have y's positive and x's negative)
(5 - 6 )/ ( -4 - -5) = -1/1 = -1
(5 - 3 ) / ( -4 - -2) = 2 / -2 = -1
( 5-3)/ ( -4 - -5) = 2 / 1 = 2
Answer: well it depends on if the positives or negatives have the greater value
Step-by-step explanation:
If f(x) = x², which equation represents function g?
Answers
By the concept of function, the value of g(x) obtained is
g(x) = 3f(x) is the required function
What is a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Here, from the graph, it can be seen that
g(1) = 3 and g(-1) = 3
Let g(x) = \(kx^2\)
g(1) = 3
\(k(1)^2 = 3\\k = 3\)
So g(x) = \(3x^2\) = 3f(x) is the required function
Option B is correct
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Complete Question
If f(x) = x², which equation represents function g?
A. g(x)=1/3f(x)
B. g(x)=3f(x)
C. g(x)=f(1/3x)
D. g(x)=f(3x)
The diagram has been attached here
foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Answers
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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Using the slope formula, find the slope of the line through the given points.
(2,6) and (6,2)
Answers
Answer:
m=(y2-y1)/(x2-x1)
=(2-6)/(6-2)
=-4/4
=-1
Step-by-step explanation:
20points. Find an equation for the linear graph.
Answers
Use the two endpoints to find the slope:
(0,2) and ( 5,5.5)
Slope = change in y over change in x:
Slope = (5.5-2)/(5-0) = 3.5/5 = 0.7
The y intercept is the y value when x is 0, which is 2
Equation: c = 0.7x + 2
4. P/E Ratios. Favorita Candy’s stock is expected to earn $2.40 per share this year. Its P/E ratio is 18. What is the stock price? (LO7-1)
Answers
Answer:
2.4*18 = $43.2
stock price is $43.2
Step-by-step explanation:
Which of the following is equivalent to 2x(4x3)
Answers
HELPPPP!!!!!!!!!!!!!
Answers
Answer:
Its A
Step-by-step explanation:
ez
Answer:
A
Step-by-step explanation:
y= -3x + 7
Find The Sum or Difference
(-6x – 3) + (3x – 9)
Answers
Answer:
-3x -12
Step-by-step explanation:
-6x +3x = -3x
-3-9 = -12
It was recently estimated that homes without children outnumber homes with children by about 8 to 7. If there are 3870 homes in a county, how many of them are homes without children?
Answers
Answer: x = 2,340 homes without children
There are 2,340 homes without children.
Step-by-step explanation:
'x' represent the number of homes without children
'y' represent the number of homes with children
x : y = 9 : 7
Since the total number of homes is 4160 means x + y = 4160.
From x + y = 4160 follows y = 4160 - x.
Plug y = 4160 - x into x : y = 9 : 7
x : (4160 - x) = 9 : 7
What is the difference of the polynomials?
(m2n2- 7)-(mm+4)
Answers
Answer:
hope u are searching for this..
Answer:
D
Step-by-step explanation:
A race car traveled for 2 1/2hours with an average speed of 132 5/8 km per hour. Find the total distance it covered.
Answers
Answer: The total distance covered by the car is 331 9/16 km.
Step-by-step explanation:
We know that, speed= distance/time taken
Therefore, distance = speed x time taken
= 132 5/8 x 2 1/2
= 5/2 x 1061/8
= 5305/16
= 331 9/16 km
Therefore, total distance is 331 9/16 km.
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NEED HELP!!!!!ASAP
Which equation gives the line shown on the graph?
A) y= -1/2x - 4
B) y= 2x - 4
C) y= 1/2x + 4
D) y= 2x + 4
Answers
Answer:c
placement(0.4)&(2.5)
Step-by-step explanation:
The equation the line is, C) y= 1/2x + 4
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have to points (0,4) and, (2,5)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>x-2y+8=0
=>y=x/2+4
Hence, the required equation is, C) y= 1/2x + 4
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The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
On a coordinate plane, a parabola opens down. It goes through (negative 6, 0), has a vertex at (negative 4, 4), and goes through (negative 2, 0).
Which statement about the function is true?
The function is increasing for all real values of x where
x < –4.
The function is increasing for all real values of x where
–6 < x < –2.
The function is decreasing for all real values of x where
x < –6 and where x > –2.
The function is decreasing for all real values of x where
x < –4.
Answers
The statement about the function is: "The function is decreasing for all real values of x where x < -4." D.
The given information tells us that the graph represents a downward-opening parabola.
The vertex of the parabola is located at (-4, 4) indicates that this point is the highest point on the graph.
As we move to the left of the vertex, the function values decrease, indicating a decreasing trend.
Moreover, the graph passes through the point (-6, 0), which lies to the left of the vertex.
This confirms that the function is decreasing for all real values of x less than -4, including x < -6.
On the other hand, the graph also passes through the point (-2, 0), which lies to the right of the vertex.
This does not impact the conclusion that the function is decreasing for x < -4, as the graph's behavior to the right of the vertex is not relevant to this particular statement.
Based on the given information and the properties of the downward-opening parabola, we can conclude that the function is decreasing for all real values of x where x < -4.
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Karen wants to buy new shoes. There is a promotion for 3
pairs of sneakers for $450.75, how much would one pair of
sneakers cost?
Answers
Good luck hope this helps
:))))
Find the center and radius of the circle with a diameter that has endpoints (-6,10)
and (2,3)Enter the center as an ordered pair, : Enter the radius as a decimal correct to three decimal places :
Answers
Step-by-step explanation:
the center of the circle is the midpoint of the diameter.
and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).
the midpoint between points A and B
(xm, ym) = ((xa + xb)/2, (ya + yb)/2)
in our case the midpoint (center of the circle) is
((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)
about the radius
diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =
= 113
diameter = sqrt(113) = 10.63014581...
radius = diameter / 2 = 5.315072906... ≈ 5.315
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
Answers
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
The radius of a circle is 18 miles. What is the circle's area?
Use 3.14 for (pi sign)
Answers
So then you get 324x3.14, and you get 1,017.36
That is ur answer
The area of a circle is 1017.36 miles².
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
Radius = 18 miles
Now,
The area of a circle = πr²
So,
= πr²
= 3.14 x 18 x 18
= 1017.36 miles²
Thus,
1017.36 miles².
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Find the tangents of the acute angles in the right triangle. Write each answer as a fraction. WILL MAKE BRAINLIEST!!
tan G = ?
tan H = ?
Answers
The tangents of the acute angles in the right triangle gives:
tan(G) = 2
tan(H) = 1/2
How to find the tangents of angles?It should be noted that tangent is the ratio of opposite over adjacent. Thus:
tan(angle) = opposite/adjacent
So for reference angle G, we say,
tan(G) = JH/GJ = 2/1 = 2
We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)
So we have this interesting property where
tan(G)*tan(H) = 2*(1/2) = 1
In general,
tan(A)*tan(B) = 1 if and only if A + B = 90 degrees
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Use the parallelogram to find m
m
Answers
Using the parallelogram law to find m, the value of m is 50°.
What is the parallelogram law?The parallelogram law states that the sum of the squares for a parallelogram's four sides is equal to the sum of the squares for its two diagonals.
The parallelogram must have equal opposed sides in Euclidean geometry.
If ABCD is a parallelogram, then AB = DC and AD = BC, the parallelogram law is stated as:
2(AB)² + 2 (BC)² = (AC)² + (BD)²
If the parallelogram is a rectangle, the parallelogram law is stated as:
2(AB)² + 2 (BC)² = 2(AC)²
The value of the unknown angles in the parallelogram are as follows:
CED = 180 - (60 + 33 + 37)
CED = 50°
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