7. Here is a graph of the equation 3x - 2y = 12. Select ALL coordinate pairsthat represent a solution to the equation.*(2, -3)(4, 0)(5, -1)(0, -6)(2, 3)
Answers
To check if a pair is a solution of an equation, we just need to replace the values for x and y-coordinates in the equation. If the equality is satisfied, then the pair is a solution to the equation.
Let's check each of the pairs given:
(2, -3) has 2 as its x-value and -3 as its y-value. Replacing those in the equation:
\(\begin{gathered} 3x-2y=12 \\ 3(2)-2(-3)=12 \\ 6-(-6)=12 \\ 6+6=12 \\ 12=12 \end{gathered}\)We can see that by solving the equation, we obtain 12 on both sides of the equation. The equality is satisfied, then the pair (2, 3) represents a solution to the equation.
Following the same process for the others:
(4, 0):
\(\begin{gathered} 3\cdot4-2\cdot0=12 \\ 12-0=12 \\ 12=12 \end{gathered}\)It is a solution.
(5, -1):
\(\begin{gathered} 3\cdot5-2\cdot(-1)=12 \\ 15+2=12 \\ 17=12 \end{gathered}\)Is NOT a solution.
(0, -6):
\(\begin{gathered} 3\cdot0-2\cdot(-6)=12 \\ 0+12=12 \\ 12=12 \end{gathered}\)Is a solution.
(2, 3):
\(\begin{gathered} 3\cdot2-2\cdot3=12 \\ 6-6=12 \\ 0=12 \end{gathered}\)Is NOT a solution.
Now we have checked all. In summary:
(2, -3): Solution
(4, 0): Solution
(5, -1): No solution
(0, -6): Solution
(2, 3): No solution
Related Questions
This person did something wrong and I do not know what it is :( Please help this is for points!
Answers
Answer:
It is, indeed, a reduction. But, the scale factor of the dilation should be a fraction instead of a whole number, since the shape has shrunk.
Instead of \(\frac{KN}{K'N'}\), it should be \(\frac{K'N'}{KN}\). That would make it (4 - 2) / (8 - 4) = 2 / 4 = 1/2.
Hope this helps!
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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U IS THE MIDPOINT OF TV, IF UV = X + 9 AND TU = 5X + 9 WHAT IS TV
Answers
TV = 6x + 18
Explanation:
UV = x + 9
TU = 5x + 9
Midpoint means middle
Because U is the midpoint of TV,
TV = UV + TU
TV = x + 9 + 5x + 9
Collect like terms:
TV = x+5x +9+9
TV = 6x + 18
Qué significa la luna pesca en el charco
Answers
The expression "La luna pesca en el charco". which is equivalent to "The moon fishes in the puddle" and is used to express that an event is not likely to happen.
What is the meaning of this expression?To begin, this expression is not a literal but a figurative expression. Now, the equivalent of this expression in English is "The moon fishes in the puddle". As this is a figurative expression we know that it is impossible for the moon to fish.
Instead, this expression means that something is impossible or not very likely to happen. For example, winning the lottery if you do not buy the lottery.
Note: Here is the question in English:
What is the meaning of the moon fishes in the puddle?
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19. A laptop is marked down from $1250 to $925. What is the percent
change? *
Answers
Answer:
It is marked down by 26 percent.
Step-by-step explanation:
Hope this helps and have a great day!!!
Answer:
It would be marked down by 26%.
What is the value of the expression
4x+y when x = 2 and y = 4?
2y-1
Answers
8+4= 12
Input 2 into the space of the X since it’s together it will be multiplication. Do the same with Y. Then add and you’re done :)
Find the area of the composite figure.
Answers
Answer:
7168
Step-by-step explanation:
There are 65 people coming to your party and each person will need one cup. How many packages of cups should you buy if one package contains 3 cups?
ANWSER:
STEP BY STEP EXAMPLE:
Answers
Answer: 22
Step-by-step explanation: 65 divided by 3 is 22
Answer:
21or22
Step-by-step explanation:
65/3
c. A square that is 8 inches on a side is placed inside a rectangle that has a length of 24 inches and a width of 20 inches. What is the area of the region inside the rectangle that surrounds the square?
Answers
Area = length x width
Area of square = 8 x 8 = 64 square inches
Area of rectangle = 24 x 20 = 480 square inches
Area of rectangle surrounding the square = 480 - 64 = 416 square inches
Answer: 416 square inches
Please help it’s URGENT!
Answers
The least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
How to obtain the least common denominator?The equation in this problem is given as follows:
1/x + 2/(x - 3) = 5.
The denominators of each expression are given as follows:
x.x - 3.x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
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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
Answers
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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of is directly proportional toy and x = 45 when
= 3, find
an equation connecting and
m) the value of x when y s6
me the value of when12
of is directly proportional to Pando = 28 when
P4
Answers
Answer:
if x=ky, where k is constant.
value of x
45/3=k3/3
15=k, constant is 15
value of x when y =6
x=ky
x=15(6)
x=80
Ileana drew a marble at random from a bag containing 4 blue 3 red 2 yellow and 5 green marbles. What is the probability that she picked a marble that was not red?
Answers
Answer:
=11/14
Step-by-step explanation:
Step-by-step explanation:
Number of blue marbles n(blue)=4
Number of red marbles n(red)=3
number of yellow marbles n(yellow)= 2
number of green marbles n(green)=5
total number of marbles n(S)=4+3+2+5=14
P(red)=n(red)/n(S)
P(red)=3/14
We have to determine the probability that the card picked is not red which means the card can be blue or yellow or green.
P(not red)=1-P(red)
=1-3/14
=11/14
Answer:
11/14
Step-by-step explanation:
These are all the marbles that are there:
4 blue
3 red
2 yellow
5 green
If you want to figure out the probability of a marble not being red, you can either find the probability that the marble is blue, yellow, or green or you could subtract the probability that the marble is red from 1 (same thing either way)
There are 14 marbles and 11 of them are not red, so the the probability that a marble drawn will not be red is 11/14.
Geometry
Answer fast
Answers
Answer:
Your correct
Step-by-step explanation:
The transversal,a, creates right angles for line b, c, and d. This they are parallel
The box plots show Devonte’s scores in Spanish and in French. Devonte inferred that his French scores have less variability than his Spanish scores. Which explains whether Devonte’s inference is correct?
Devonte is correct because the range is greater for French.
Devonte is correct because the interquartile range is less for French. Devonte is not correct because his highest grade is in Spanish.
Devonte is not correct because the interquartile range is less for Spanish.
Answers
Answer:
Devonte is correct because the interquartile range is less for French
Step-by-step explanation:
The first box plot at the top shows scores in Spanish, while the second box plot below it shows French scores.
Variability can be ascertain by finding out the interquartile range of a data set.
The higher the value of the IQR, the more the variability, while the lower the IQR, the less the variability.
IQR = Q3 - Q1
IQR for Spanish score = 85 - 60 = 25
IQR for French score = 80 - 65 = 20
From the above, we can say that Spanish scores has more variability when compared to French scores.
Therefore, Devonte is correct because the interquartile range is less for French, which shows that the variability in French scores is lesser than that of Devonte's Spanish scores.
Answer:
Devonte is correct because the interquartile range is less for French.
Step-by-step explanation:
The scoring range indicates the deviance from the standard values. It can only be inferred that the interquartile range is very narrow. In other words, there is less variability in the scores. Thus, a smaller quartile range means that there is less variability in the quantity being measured. The interqurtile range is the difference in the values of the the 75th percentile and the 25th percentile of a cumulative frequency distribution curve.
At birth, a newborn baby's head is about 25% of its total length. If a baby's head is 4.5 inches long, how many total inches is the baby?
Answers
Answer:
1.125 inches
Step-by-step explanation:
25 percent of 4.5
Answer:
give oliver brainliest
Step-by-step explanation: rainnn
Generate and solve another division problem with the same quotient and remainder as the two problems below.explain your strategy for creating the new problem
Answers
Answer:
ITS AN ASSESMENT THIS VIOLATES THE HONOR CODE
Step-by-step explanation:
Answer:
153/47
Step-by-step explanation:
if you plug any number into x you get a valid soultion
(3x+12)/x
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
Answers
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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if f(x)=3x-2 and g(x)=2x+1 find(f-g)(x)
Answers
Answer:
(f-g)(x) = x-3
Step-by-step explanation:
f(x)=3x-2
g(x)=2x+1
(f-g)(x)= 3x-2 - ( 2x+1)
Distribute the minus sign
3x -2 -2x -1
Combine like terms
x-3
1 1/18 + 3 1/18 + 1 2/9 + 1 2/9
Answers
Answer:
6.55555555556
Step-by-step explanation:
Answer:
6 10/18 i think
Simplified is 6 5/9
improper fraction is 118/18
Step-by-step explanation:
At the last minute, two families (a total of 11 people) cancel because of illness. Does this effect
which company is the better deal? Why or why not?
Answers
The last-minute cancellations of two families (11 people in total) due to illness may affect the decision as to which company offers more favorable terms, depending on the specific circumstances and fee structures of the companies involved.
Why is this scenario so?If the rate is based on per person, canceling 11 people would significantly reduce the total cost for both companies. In this case, one would compare the changed prices of each company to determine which one offers the better deal.
However, with flat-rate pricing regardless of the number of participants, the cancellation of 11 people would not affect costs for either company. In such a scenario, the cancellation will not affect the evaluation of which company presents the better offer.
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Please help fast! Determine which set of side measurements could be used to form a right triangle. 4, 8, 11 or 6, 8, 13 or square root of 3, square root of 5, 8 or square root of 3, square root of 13, 4.
Answers
The following sets of side dimensions could be combined to create a right triangle 6, 8, 13 is √3, √13, 4.
What is a right-angle triangle?In the triangle, there are three angles: two acute angles and one 90-degree angle. The hypotenuse, perpendicular, and base are the terms used to describe the sides of a right-angled triangle.
The next choice shows the triangle's side length:
The point is,
The hypotenuse square of a right-angled triangle is equal to the sum of its squares on its other two sides, according to Pythagoras' Theorem.
Using Pythagoras' Theorem.
Use the formula:
a² + b² = c²
For 4, 8, 11
4, 8, 11
4² + 8² = 16 + 64 = 80
11² = 121
80 is not equal to 121 it cann ot form a right triangle
For 6, 8, 13
6² + 8² = 36 + 64 = 100
13² = 169
100 is equal to 169 - 69 can form a right triangle
For √3, √5, 8
(√3)² + (√5)² = 3 + 5 = 8
8² = 64
8 is equal to 64 cannot form a right triangle
For √3, √13, 4
(√3)² + (√13)² = 3 + 13 = 16
4² = 16
16 is equal to 16 can form a right triangle
In order to create a right triangle, one may utilise the following set of side measurements √3, √13 and 4 form a triangle.
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Polygon ABCD is drawn with vertices A(−4, −4), B(−4, −6), C(−1, −6), D(−1, −4). Determine the image coordinates of B′ if the preimage is reflected across y = 3.
B′(−4, 6)
B′(−4, 12)
B′(−1, −3)
B′(10, −6)
Answers
To reflect a point across the line y=3, we find the point that is the same distance from y=3 as the original point, but on the opposite side of the line. In this case, the original point is B(−4,−6), which is 9 units below y=3. The image point will be 9 units above y=3, so it will have a y-coordinate of 3+9=12. The x-coordinate remains the same, so the image point is B
′
(−4,12).
What is the slope? (IXL)
Answers
Answer:
2/3
Step-by-step explanation:
A fast food restaurant was selling 7 boxes of chicken nuggets for $25.90.
A competing restaurant was selling 3 boxes of chicken fingers for $11.07.
Which food has a higher unit price?
Answers
I'll be there tomorrow thank you so very sweet for the reminder of my day
Answers
we are told to complete the tables using the same ratio. To do that we need to multiply each number in the upper row by the same number to get the number in the lower row. Or divide the same number in the lower row to get the number in the upper row. In the case of table 4 we have that in the first column the numbers:
\(\begin{gathered} 1 \\ 9 \end{gathered}\)Therefore, we need to multiply the number in the first row by 9, to get the number in the lower row. Therefore, for the second column we have:
\(\begin{gathered} 3 \\ 27 \end{gathered}\)Since 9x3 = 27. In the third column:
\(\begin{gathered} 5 \\ 45 \end{gathered}\)Since 9x5 = 45. In the fourth row:
\(\begin{gathered} 7 \\ 63 \end{gathered}\)Since 9x7=63. In the final row:
\(\begin{gathered} 9 \\ 81 \end{gathered}\)Since 9x9 = 81. And thus we complete the table.
The complete table would be:
\(\begin{bmatrix}{1} & 3 & {5} \\ {9} & {27} & {45} \\ {} & {} & {}\end{bmatrix}\begin{bmatrix}{7} & {9} & {} \\ {63} & {81} & {} \\ {} & {} & {}\end{bmatrix}\)
a triangle is shown on the coordinate plane below.
a. 31.0 units
b. 34.0
c. 37.5 units
d. 40.4 units
Answers
Answer:
D
Step-by-step explanation:
Given the drawing as shown below and that pllq. Which of the following cannot be supported by the evidence shown? Worth 10 points
Answers
The relation that can not be supported by the evidence in the image is option B
What happens when a transversal cuts a parallel line?
Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.
Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.
Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.
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Select the correct answer.
A six-sided falr die and an eight-sided fair die are rolled together. What is the probability of getting numbers whose sum is a multiple of 3?
O A 113
och
OE
Next
Reset
M
Answers
Answer: 1/3
Step-by-step explanation: :)
Scott is four more than double the age of Todd. Scott is 56. What is Todd's age?
Answers
Answer: 26 years old
Step-by-step explanation:
Since Scott is four more than double the age of Todd, start by taking away four from Scott's age.
56-4=52
Then take half of that because that would be double of Todd's age
52/2=26
Todd is 26 years old.