The equation that have no solution is: 6x + 1 = 3(2x - 4).
The correct option is the first option.
Here, we have to check which of the equations have no solution, we need to solve each equation and see if they lead to a contradiction or an inconsistency.
If the variable (x) cancels out during the solving process, it means that the equation has no solution.
1) 6x + 1 = 3(2x - 4)
Expand the right side: 6x + 1 = 6x - 12
Subtract 6x from both sides: 1 = -12
In this case, we end up with a contradiction (1 = -12), which means there is no solution.
2) 2 - 5x = 7x - 12
Add 5x to both sides: 2 = 12x - 12
Add 12 to both sides: 14 = 12x
Divide by 12: x = 14/12 = 7/6
This equation has a solution.
3) 4(3 - x) = 2(6 - 2x)
Expand both sides: 12 - 4x = 12 - 4x
Subtract 12 from both sides: -4x = -4x
In this case, the variable (x) cancels out, which means any value of x would satisfy the equation.
So, this equation has infinitely many solutions.
4) 5(x + 2) = 2(x - 4)
Expand both sides: 5x + 10 = 2x - 8
Subtract 2x from both sides: 3x + 10 = -8
Subtract 10 from both sides: 3x = -18
Divide by 3: x = -18/3 = -6
This equation has a solution.
5) -4(x + 3) = 4(x - 1)
Expand both sides: -4x - 12 = 4x - 4
Add 4x to both sides: -4x - 4x - 12 = 4
Combine like terms: -12 - 4 = 8x
Combine like terms on the left side: -16 = 8x
Divide both sides by 8 to isolate x: x = -2
This equation has a solution.
So, the equation that have no solution is: 6x + 1 = 3(2x - 4).
Hence, The correct option is the first option.
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Final answer:
To determine which equations have no solution, we need to solve each equation and see if any values of x make the equation false. The equations that have no solution are 6x + 1 = 3(2x – 4) and 4(3 – x) = 2(6 - 2x).
Explanation:
To determine which equations have no solution, we need to solve each equation and see if any values of x make the equation false. Let's go through each equation:
6x + 1 = 3(2x – 4)So, the equations that have no solution are 6x + 1 = 3(2x – 4) and 4(3 – x) = 2(6 - 2x). The correct answers are A and E.
1050 households in the town how many own a dog
Answer:
357 dogs
Step-by-step explanation:
50 households are randomly selected f r om the town 17 own a dog
17/50 x 100 = 34%
1050 x 34% = 257
Pls can someone answer this
Answer: they are parallel to each other plus they're both obtuse triangles
Five over twenty five÷ 100
Answer:
20
Step-by-step explanation:
According to the question,five over 25 divided by 100
Can also be written as
5/25/100
So
5/25×100
1/5 ×100
20
So the final answer is 20
If the mixing container only holds 40 ounces of paint, then what is the most green paint the artist can make, and what recipe should she use?
Answer:
she can make 40 ounces of green paint
Step-by-step explanation:
20 ounces of yellow paint and 20 ounces of blue paint
The most green paint she can make would be 28 ounce of yellow + 8 ounce of blue which would give us 36 ounce of green paint. Since the container can only hold 40 ounce.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
An artist mixes yellow and blue paint to make the perfect shade of green. She uses 2 ounces of blue paint for every 7 ounces of yellow paint
We need to find the most green paint the artist can make if the mixing container only holds 40 ounces.
Amount of blue paint = 2 ounce
Amount of yellow paint = 7 ounce.
Paint the mixing container can hold = 40 ounce.
Most green paints she can make. This is a ratio question
Yellow green
7 = 2
14 =4
21 =6
28 = 8
35 = 10
Hence, The most green paint she can make would be 28 ounce of yellow + 8 ounce of blue which would give us 36 ounce of green paint. Since the container can only hold 40 ounce.
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Check the functions whose inverses are also functions
The functions whose inverses are also functions are
b. On a coordinate plane, an exponential functions increases from quadrant 2 into quadrant 1.c. On a coordinate plane, a cubic function has an x-intercept of (0, 0).Checking the functions whose inverses are also functions.From the question, we have the following parameters that can be used in our computation:
The list of options
Analyzing each statement, we have
a. On a coordinate plane, an absolute value function opens down.
The absolute value function f(x)=∣x∣ does not have an inverse that is a function because it fails the horizontal line test.
Specifically, any horizontal line intersects the graph of the absolute value function at most twice.
So, its inverse is not a function.
b. On a coordinate plane, an exponential function increases from quadrant 2 into quadrant 1.
Exponential functions, such as
f(x) = eˣ or f(x) = abˣ, do have inverses that are functions.
They pass the horizontal line test, and their inverses are logarithmic functions.
c. On a coordinate plane, a cubic function has an x-intercept of (0, 0).
A cubic function, such as f(x) = x³, does have an inverse that is a function.
The cubic function has an x-intercept at (0, 0), and its inverse is a cubic root function.
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Question
Check the functions whose inverses are also functions.
a. On a coordinate plane, an absolute value function opens down.
b. On a coordinate plane, an exponential functions increases from quadrant 2 into quadrant 1.
c. On a coordinate plane, a cubic function has an x-intercept of (0, 0).
what is the square root of i?
i is an imaginary number.
I = square root -1
Find square root of i:
Let square root I = a + ib
I = (a+ ib)^2
I = a^2 + i^2b^2+ 2abi
I = a^2 -b^2 + 2abi
Square root I = +/- square root 2/2+ I square root 2/2
Evaluate f(x) = 2x at x = 5.
A) 32
B) 10
C) 64
D) 25
Answer:
the answer is B)
Step-by-step explanation:
if x = 5
f(x) = 2 x 5
f(x) = 10
so the answer is 10
A trapezoid has an area of 30m^2. if all of its side lengths are tripled, what will its new area be
Answer:
270
Step-by-step explanation:
Because we do not know what the side lengths are, as long as they multiply to 30m^2, it's fine
For this question, let's just say the base is 5, and the height is 6. If we triple 5, we get 15, and if we triple 6, we get 18. 15*18=270
Now what if, the sides are not 5 and 6. Will the area still be the same? Let's find out.
10*3=30 so we can say for this answer, the base is 3, and the height is 10.
10 tripled is 30, and 3 tripled is 9. 30*9=270
So as we look at these 2 answers. we can conclude that the new area, no matter the side lengths, will be 270
Hope this helpes!
Dimensions of a house are 300 feet by
125 feet. If 1 inch represents 50 feet,
what are the dimensions of the house
on the drawing?
Answer:
divide 300 feet by 50 which is 6, divide 125 ft by 50 which is 2.5. Therefore your dimensions are 6 in by 2.5 in
if you're in putting in the computer it may want 2.5 in fraction form which is 2 1/2 in or in improper fraction form 5/2 in
Step-by-step explanation:
Mikayla designed a survey to determine the number of people expected at opening night of a community theater. The community has about 5,000 members. She selected a sample of the first 25 parents dropping off actors during theater rehearsal. Which best explains Mikayla’s sample?
Answer:
Answer is nonrandom and biased.
Refer below.
Step-by-step explanation:
Mikayla designed a survey to determine the number of people expected at opening night of a community theater. The community has about 5,000 members. She selected a sample of the first 25 parents dropping off actors during theater rehearsal. Following best explains Mikayla’s sample:
Nonrandom and biased
Answer: Answer C.
Step-by-step explanation: She only chose parents that were dropping off their kids. Therefore, the answer is nonrandom and biased.
The number of minutes Sadie spends on homework, playing outside, and practicing
piano are known. How much more time Sadie spends on homework, h, is unknown.
90 = (20 + 15) +h
Answer:
h = 55
Step-by-step explanation:
90 = (20 + 15) +h
90 = 35 + h
90 - 35 = h
h = 55
Four students drew graphs of a linear function. Which student drew a line with a slope of 3? Analise On a coordinate plane, a line goes through points (negative 3, 0) and (0, 1). Benito On a coordinate plane, a line goes through points (0, negative 1) and (1, 2). Charlie On a coordinate plane, a line goes through points (0, negative 3) and (0, 3). Dariya On a coordinate plane, a line goes through points (2, 3) and (3, 0).
Answer:
Benito
Step-by-step explanation:
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Benito drew a line with a slope of 3. This is determined by using the slope formula and identifying the rate of change in the y coordinates with respect to the x coordinates for each line drawn by the different students.
Explanation:To find the slope of a line on a coordinate plane, we can use the slope formula: slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are points on the line.
Analise's line goes through points (-3,0) and (0,1). The slope would be (1-0)/(0-(-3)) = 1/3.Benito's line goes through points (0, -1) and (1, 2). The slope is (2-(-1))/(1-0) = 3.Charlie's line is vertical, going through the points (0,-3) and (0,3). Vertical lines do not have a defined slope.Dariya's line passes through (2,3) and (3,0). The slope is (0-3)/(3-2) = -3.Therefore, the student who drew a line with a slope of 3 is Benito.
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Please answer ASAP
Square ABCD has a side length of 4 inches. The square is dilated by a scale factor of 4 to
form square A'B'C'D'. What is the side length of square A'B'C'D' ?
Answer:
The side of square A'B'C'D' is 16 inches
Step-by-step explanation:
Given
Length of Square ABCD = 4 inches
Dilated with a scale factor of 4
Required
Length of square A'B'C'D'
To dilate something means to enlarge or reduce the size of that thing, depending on the scale factor.
Consider the following conditions
When the scale factor is greater than 1, then the size of new shape will be bigger than the dilated shapeWhen the scale factor is equal to 1, the new shape will maintain the same size as the dilated shapeWhen the scale factor is less than 1 but greater than 0, the size of new shape will be smaller than that of the dilated shape.Having mentioned the conditions of dilation, Here, the "thing being dilated" is a square (ABCD) on a scale factor of 4.
The scale factor is greater than 1; so, the new shape (A'B'C'D) will be bigger than the previous shape (ABCD)
Now, how is the new size calculated?
The new size is calculated by multiplying the length of the previous shape by its scale factor;
In other words,
New Length = Old Length * Scale Factor
Where
Old Length = Length of ABCD = 4 inches
Scale Factor = 4
By Substitution,
New Length = 4 inches * 4
New Length = 16 inches
Hence, the side of square A'B'C'D' is 16 inches
What is the area of a triangle that has a base of 15 yards and a height of 11 yards?
please help :)
165 yd2 82.5 yd2 41.25 yd2 330 yd2
Answer:
82.5
Step-by-step explanation:
The formula for the area of triangle is 1/2 B * H
1/2 of the base is 7.5
multiply that by 11
and you get
82.5
What percent of Troy's gross pay is his net pay?
Consider the following graph, which details the observed bear population in two national parks. A graph titled Bears Observed in Park has month on the y-axis and number of bears observed on the y-axis, going from 37 to 53. In the same month, there are 2 points marked on the graph. All points are connected by overlapping lines. Of the following, which option or options would help make this graph less misleading? I. The scale on the x-axis should be resized. II. The scale on the y-axis should be resized. III. The identity of the two parks should be more clearly differentiated. a. I and II b. II and III c. III only d. I and III
ANSWER IS B
Answer:
b. II and III
Step-by-step explanation:
A graph is a data presentation that has two axis - x and y, divided into appropriate scales.
A scale is used to divide given units into equal parts. It is crucial to and used to create uniformity in drawing of graphs. Choosing a good scale to represent an information on a graph is vital to avoid confusion. This can be done by considering the variations in the values forming the data.
In the question, the single graph shows an information about the bear population in two national parks. Thus, the scale of the y-axis must be adjusted and the identity of the two parks be more differentiated so as to make the graph less misleading.
Answer:
B
Step-by-step explanation:
Collins middle school has 186 soxth grade students. If the sixth grade is 30 percent of the total school, how many students are in the middle school?
Answer:
620
Step-by-step explanation:
MATH
One inch is approximately 252/5 millimeters. What is 25 2/5 as a decimal?
Answer:
Decimal result:
25.4
Calculation:
25+2/5
= 25.4
= 2540%
Step-by-step explanation:
Daily attendance at the water park: 346, 250, 433, 369, 422, 298
Answer:
353
Step-by-step explanation:
250+298+346+369+422+433=2,118
2,118/6=353
(Day 8) Find the value of each variable. The dot represents
the center.
a =
b=
C=
Answer:
Step-by-step explanation:
a=180-122=58°
Let ABC be the triangle in which BC is diameter.
Diameter always make angle 90° on the circumference.
so b=90°
∠B=1/2×58=29°
29+b+c=180
29+90+c=180
c=180-119=61°
Mark and John were sharing the $10 cost to rent some video games with another friend. Mark paid $3, John paid 2/5 of the total, and their friend paid the rest.
Well im quessing the question is how much did someone pay so im gonna tell you john paid 4 dollars because 1/5 of ten is 2 so 2/5 is ten meaning the extra friend payed $3
what is the product of 5 and w
Answer:
5w
Step-by-step explanation:
5*w=5w
Answer:
5w
Step-by-step explanation:
Product means multiply
5*w
What is the area of a circle with a radius of 40 cm? cm² (Use 3.14 for Pi.)
Answer:5024 cm^2
Step-by-step explanation:
Formula for area of a circle =πr^2
Where π=3.14, r=40cm
Area=3.14*40^2
=3.14*1600
=5024cm^2
Plz help me out ASAP!!!!!
Answer:
540
Step-by-step explanation:
Help me thank you 16 points!
Answer:
-64000
Step-by-step explanation:
Work your way upwords. The number next to the 2 would be -5. This makes the number above the 2 -10. Multiplying it out to the top gets you -64,000
The top block would equal -64000 once you have put all the numbers in every block.
Yuki wants a display that shows the spread of data above and below the median.
What data display should Yuki use?
A. A dot plot is best for displaying the spread of data above and below the median, so Yuki should use a dot plot.
B. Dot plots and box plots are best for displaying the spread of data above and below the median. For these data, the median is too large and close to the maximum, so Yuki should use a dot plot.
C. A box plot is best for displaying the spread of data above and below the median, so Yuki should use a box plot.
D. A histogram is best for displaying the spread of data above and below the median, so Yuki should use a histogram.
Answer:
C. A box plot is best for displaying the spread of data above and below the median, so Yuki should use a box plot.
Step-by-step explanation:
Neither dot plot nor histogram shows the median of data, but box plot it does. Also, box plots show the how spread data is from minimum value to first quartile, from first quartile to median, from median to third quartile and from third quartile to maximum value.
There are 14 books on a shelf. 6 of these books are new.
(a) What is the ratio of used books to all books?
(b) What is the ratio of new books to used books?
Answer:
6:14
Step-by-step explanation:
Which equation describes the relationship expressed in the table?
y = x
y = 3x
y=1/6x
y=1/3x
Answer: 1/3
Step-by-step explanation:
I just did it
what 2 numbers multiply to -4 and add to -8
Answer: 8
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Kim and Sonia have each drawn a line on the scatter plot shown below: The graph shows numbers from 0 to 10 on x and y axes at increments of 1. Dots are made at the ordered pairs 1, 5 and 2, 4 and 3, 3.5 and 4, 2.5 and 4.5, 2.8 and 5, 2 and 6, 1.5 and 7, 1 and 8, 0.9 and 9, 0.2 and 10, 0. A straight line labeled Line A joins the ordered pairs 0, 7.2 and 10.4, 0. A straight line labeled Line B joins the ordered pairs 0, 5 and 9.1, 0. Which line best represents the line of best fit? Line A, because it shows a negative association Line A, because it is closest to most data points Line B, because it is closest to most data points Line B, because it shows a positive association
Answer:
B because it is closest to most data points
Step-by-step explanation:
i asked my teacher
The requreid correct answer is: Line B, because it is closest to most data points.
What is a Line??A line can be defined by the shortest distance between two points is called as a line.
The line of best fit is the line that represents the trend or pattern in the data. Based on the given scatter plot, it appears that Line B is the better fit for the data since it is closest to most of the data points and shows a negative association.
Therefore, the correct answer is Line B, because it is closest to most data points.
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