Answers
Answer:
C. y = x + 4, 2y = 2x + 8Step-by-step explanation:
The system has infinitely many solutions if the two equations are equivalent.
We can analyze the given systems to see:
A)
2x + 7x + y = 6 ⇒ 9x + y = 6 ⇒ y = - 9x + 6y = 9x + 6Different slopes, there is one solution
B)
y = 5x + 7y = 2x + 8Different slopes, there is one solution
C)
y = x + 42y = 2x + 8 ⇒ y = x + 4Same lines, infinitely many solutions
D)
7x - y = 10 ⇒ y = 7x - 10y = 6x + 8Different slopes, there is one solution
Solution:
When two equations are equivalent, it is infinitely many solutions because the two lines overlap each other.
Option A - 2x + 7x + y = 6 and y = 9x + 6
=> (9x + y = 6) = (y = 9x + 6)=> (y = -9x + 6) ≠ (y = 9x + 6)Option B - y = 5x + 7 and y = 2x + 8
=> (y = 5x + 7) ≠ (y = 2x + 8)Option C - y = x + 4 and 2y = 2x + 8
=> (y = x + 4) = (2y = 2x + 8)=> (y = x + 4) = (y = 2x/2 + 8/2)=> (y = x + 4) = (y = x + 4)Option D - 7x - y = 10 and y = 6x + 8
=> (7x - y = 10) = (y = 6x + 8)=> (-y = -7x + 10) = (y = 6x + 8)=> (y = 7x - 10) ≠ (y = -6x - 8)Hence, Option C is correct.
Related Questions
show the linear graph obtained by joining the following points is a staright line. (6,-3),(6,1)and(6,6)
Answers
Points be
A(6,-3)B(6,1)C(6,6)Slope of AB:-
[tex]\\ \tt\hookrightarrow m=\dfrac{1+3}{6-6}=\dfrac{4}{0}=\infty[/tex]
Slope of BC
[tex]\\ \tt\hookrightarrow m=\dfrac{6-1}{0}=\infty[/tex]
As
Slope of AB=Slope of BCA,B,C are colinear.
someone pls help me..
Answers
Answer:
[tex]32x^2 \sqrt[3]{2x} - 8x^3[/tex]
Step-by-step explanation:
[tex]\hookrightarrow 4x\sqrt[3]{4x^2}\left(2\sqrt[3]{32x^2}-x^3\sqrt{2x}\right)[/tex]
[tex]\hookrightarrow 8x\sqrt[3]{32x^2 } \sqrt[3]{4x^2} -4x^2 \sqrt[3]{4x^2} \sqrt[3]{2x}[/tex]
[tex]\hookrightarrow 2^5\sqrt[3]{2}x^{\frac{7}{3}}-2^2\cdot \:2^{\frac{2}{3}}\sqrt[3]{2}x^3[/tex]
[tex]\hookrightarrow 32\sqrt[3]{2}x^{\frac{7}{3}}-4\cdot \:2^{\frac{2}{3}}\sqrt[3]{2}x^3[/tex]
[tex]\hookrightarrow 32x^2 \sqrt[3]{2x} - 8x^3[/tex]
Consider the following expression.
Select all of the true statements below.
7a+3b+4
7a is a factor.
7a+3b is written as a sum of three terms.
7a and 4 are like terms.
7a is a coefficient.
4 is a constant.
None of these are true.
Answers
Answer:
None of these are constant
Explanation:
A constant is the number in an equation without a variable, 4. A coefficient is the number before the variable, not with the variable, so 7 and 3 would be a coefficient but it says 7 and a are coefficients. 7a and 4 are not like terms because 4 doesn’t have the same variable as 7. 7a is obviously not a factor.
Find the volume of a sphere with a radius of x – 1.
Answers
hi pls help it’s pretty simple i think
Answers
Answer:
The radicals is the name of the sign we use in roots. The numerator is the power of the exponential, and the denominator is the power of the root.
So we take the radical:
√((-4)^2/7)
And move the denominator to the place where we list the root's power:
7√((-4)2)
Do note you can remove the outermost parentheses if you were to extent the radical's top line, something like so:
_____
7√(-4)2
[tex]the \: answwr \: is \: 1.48 \: or \\ 7 \sqrt{( - 4) {}^{2} } [/tex]
# be careful #
Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds. Use the diagram to write an equation to represent the dogs’ weights. Let f represent the weight of Luisa’s dog.
A long rectangle is the top section. 2 smaller rectangles are the bottom section.
The top section represents
.
The bottom section represents
.
The equation is
.
Answers
This is the equation for Fabiola's dog's weight: 1/3f + 5 = 23
I have no understanding what the diagram means.
The following rectangle has area 16.4icm² and length 8.207cm. Work out its width, xcm. Area = 16.41 cm x cm 8.207cm
Answers
2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325. Kevin wanted to go snowboarding for his vacation. He looked up annual snowfall of both resorts over a ten-year period to determine which resort would have the better snowfall. Compare the two box plots and use the drop-down menus to determine where Kevin should plan to go for vacation. What is the approximate median snowfall at Resort A? What is the approximate median snowfall at Resort B?.
Answers
Box plot 5 important descriptive measures about data that they represent.
The median snowfall for Resort B is greater than the median for Resort A
The interquartile range has higher values for Resort A than for Resort B.
Resort B has more snowfall overall than Resort A does.
How does a boxplot show the data points?
A box plot has 5 data descriptions.
The leftmost whisker shows the minimum value in the data.
The rightmost whisker shows the maximum value in the data.
The leftmost line in the box shows the first quartile.
The middle line shows the median, also called the second quartile.
The last line of the box shows the third quartile.
How to find the interquartile range?IQR(interquartile range) is the difference between the third and first quartile.
Inferring the information each box plot describe, we get:
Case 1: For resort A:
Wisker's minimum value = minimum value for resort A = 175
Maximum value = 375
Box's minimum value = First quartile = 250
Box's maximum value = Third quartile = 300
First quartile = 250 < Median = Second quartile < 300 = third quartile
Thus, 250 < Median for resort A < 300
IQR = Third quartile - first quartile = 300 - 250 = 50
Range of values = Max - min = 375 - 175 = 200
Case 2: For resort B:
Wisker's minimum value = minimum value for resort B = 200
Maximum value = 400
Box's minimum value = First quartile = 300
Box's maximum value = Third quartile = 325
First quartile = 300 < Median = Second quartile < 375 = third quartile
Thus, 300 < Median for resort B < 375
IQR = Third quartile - first quartile = 325 - 300 = 25
Range of values= Max - min = 400 - 200
Thus, it is visible that:
Median for resort A < 300 < Median for resort B
or
Median for resort A < Median for resort B.
and
IQR for resort A = 50 > IQR for resort B = 25
and
Both have the same variation as both ranges are the same, which is the interval of values assumed for both resorts.
Hence, Minimum, maximum, first, and third quartile all are smaller for resort A, thus, Resort B has more snowfall overall than Resort A does.
Learn more about boxplot here:
brainly.com/question/1523909
What is the approximate median snowfall at Resort A?
✔ 275 inches
What is the approximate median snowfall at Resort B?
✔ 325 inches
What is n in n:44 = 7:11?
Answers
Answer:
n = 28
Step-by-step explanation:
hope this helps :)
[tex]\frac{n}{44} =\frac{7}{11} \\\\11n=308\\n=\frac{308}{11} \\n=28[/tex]
PLEASE HELP ME!!
A line has this equation: 5y+x=-40
Write an equation for the perpendicular line that passes through the point (1, 10)
Answers
Answer:
look it up go to demos
Step-by-step explanation:
Which point is located at (2, -3)?
Answers
Point K because its x-coordinate is at 2 and its y-coordinate is at -3.
A) Point K
Answer:
Point K
Step-by-step explanation:
Remember, in a rectangular coordinate plane, every point is shown as (x, y)
x is moving left and right while y moves up and down. Looking at the point provided, (2, -3).
x = 2
A positive x value means the point will be shifted to the right, while the number 2 tells you to shift to the right 2 units.
y = -3
A negative y value means the point will be shifted down, while the number -3 tells you to shift down 3 units.
Now, looking at the graph, starting at (0, 0), move to the right 2 units and move down 3 units. The point resting at this point is Point K.
A store owner asks each person to write “Yes” or “No” on a slip of paper as they leave, secretly writing down whether they were happy with their experience. At the end of the day, the owner selects 12 slips at random and looks at them.
These were the results:
yes, yes, yes, no, yes, no, yes, yes, no, yes, no, yes
a. Estimate the proportion of all shoppers who were happy with their experience that day.
Answers
Answer:
2/3
Step-by-step explanation:
Probability=number of favourable outcomes/number of possible outcomes
P(customers who were happy with their experience)= 8/12 = 2/3
two-third of total customers (12 people) were happy with their experiences.
The coordinates of a rectangle are (-11,20), (-11,3), (-1,20), (-1,-3). Find the perimeter and the area of the rectangle.
Answers
Answer:
The perimeter of the rectangle is 54, and the area is 170.
Step-by-step explanation:
First, we must plug the coordinates into a graph (attached below).
[tex]l=10\\w=17[/tex]
Now, we must solve for the perimeter.
[tex]P=2(l+w)\\P=2(10+17)\\P=2*27\\P=54[/tex]
Lastly, we must solve for the area.
[tex]A=wl\\A=(17)(10)\\A=17*10\\A=170[/tex]
You're welcome!
Jake plans to make and sell wooden birdhouses. He plans to sell each birdhouse for $50, his income can be found using the equation I(x) = 50x, where x is the number of birdhouses he sells. It costs him $10 in materials for each birdhouse, so his expenses can be found using the equation E(x) = 10x. Use function operations to find an equation for his profit, P(x), and find his profit if he sells 20 birdhouses.
Answers
Answer:
290 Is the answer I answered it before
5) The length of one side of a square is 12 meters. To the nearest tenth, find the length of a diagonal of the square.
Answers
Answer:
17.0 meters
Step-by-step explanation:
The diagonal of a square is calculated as sqrt(2) x a, where a is the side
= sqrt (2) x 12 = approx. 16.97 (round to 17.0)
Hope this helps :)
Need answer as soon as possible
Answers
Answer:
adding all like terms the answer will be:
[tex]\frac{3}{8} x + \frac{1}{2} y + \frac{3}{8}[/tex]
Step-by-step explanation:
Answer:
sec answer
[tex] \frac{3}{8} x + \frac{1}{2} y + \frac{3}{8} [/tex]
Solve for xx. Round to the nearest tenth of a degree, if necessary.QRSx°2755Answer: x=x=
Answers
The measure of x is an illustration of the cosine trigonometry ratio
The measure of x to the nearest tenth of a degree is 58.7 degrees
How to calculate the measure of xThe measure of x is calculated using the following cosine ratio
[tex]\cos(x) = \frac{4.1}{7.9}[/tex]
Evaluate the quotient
[tex]\cos(x) = 0.5190[/tex]
Take the arccos of both sides of the equation
[tex]x = \cos^{-1}(0.5190)[/tex]
Evaluate the arccos(0.5190)
[tex]x = 58.73[/tex]
Approximate to the nearest tenth of a degree
[tex]x = 58.7[/tex]
Hence, the measure of x is 58.7 degrees
Read more about cosine ratio at:
https://brainly.com/question/15793827
help me with this math pls
Answers
Which of the statements about the following quadratic equation is true? 6x2 - 8 = 4x2 7x.
Answers
Answer:
2(−2x^28+3x^2−4)=0
Step-by-step explanation:
this is your answer factored. but i will you the real answer after you tell me all the other options
Answer:
Step-by-step explanation:
HELP ILL GIVE YOU BRAINLIEST
Determine the absolute maximum value of the function f.
Answers
Answer: I think 7
Step-by-step explanation:
please i need the answer
Answers
2.) EBA
3.) CBD=20
180-160=20
4.) CBD=60
3x=180
x=60
5.) Supplementary
The amount of region enclosed by a plane closed figure is calles
Answers
Answer:
The amount of region enclosed by a plane-closed figure is called its Area. Hence, correct answer is Area.
FROM
SURAJ SAINI
Hello! can someone help with these questions? I provided photos of the triangles below.
1. Determine which sides correspond with each angle in triangle ABC below.
a. angle XYZ corresponds with side length ____
b. angle ZXY corresponds with side length ____
c. angle YZX corresponds with side length ___
2. Determine which angles correspond with each side in the triangle below.
__
a. side length KL corresponds with angle ___
__
b. side length LJ corresponds with angle ___
__
c. side length JK corresponds with angle ___
thanks for any help!
Answers
The sides that correspond to each angle in triangle ABC are:
Angle XYZ corresponds with side length YZAngle ZXY corresponds with side length XZAngle YZX corresponds with side length YXThe angles correspond with each side in the triangle are:
Side length KL corresponds with angle KSide length LJ corresponds with angle JSide length JK corresponds with angle LHow to determine the corresponding sides
The corresponding sides are segments located at the same relative position of an angle.
So, the corresponding sides of the angles are:
Side YZ & angle XYZ, Side XZ & angle ZXY, and Side YX and angle YZX
How to determine the corresponding anglesOn the other hand, the corresponding angles are segments located at the same relative position of the sides.
So, the corresponding angles of the sides are:
Side KL & angle K, Side LJ & angle J, and Side JK and angle L
Read more about corresponding sides and angles at:
https://brainly.com/question/1675117
can 3 meters and 2 km be expresses as a ratio.
Answers
3:2000
it cannot be simplified
Answer:
yes, you can just write it as 3m : 2km
Step-by-step explanation:
I don't know if this is completely right, but I know you can also turn 3m into km by multiplying it by 1000, (because there are 1000 m in every km) and then solve because 3000km/2km = 1500km
So to solve would be 1500 km. I hope the first answer is right though. Did I help? Let me know in the comments
Solve each system of equations using the elimination method
4x-y=-2
2x+y=2
Answers
x = 0
y = 2
Step-by-step explanation:
4x - y = -2
2x + y = 2
-------------- add the equations
6x = 0
x = 0
substitute x in equation 1
0 - y = -2
y = 2
A mole starts out in its burrow 5.1 feet below the surface of the ground. It digs straight up at a rate of 0.4 feet per minute.
How long does it take for the mole to reach a depth of -3.7 feet?
Enter your answer as a decimal in the box.
Answers
The mole approximately 3.5 minutes to reach a depth of -3.7 feet.
To determine how long it takes for the mole to reach a depth of -3.7 feet, we need to calculate the time it takes to cover the distance between its starting point and the target depth.
The mole is digging straight up at a rate of 0.4 feet per minute.
Since the target depth is negative, we can consider it as a negative displacement.
The distance the mole needs to travel can be calculated as follows:
Distance = Target depth - Starting depth
Distance = -3.7 feet - (-5.1 feet)
Distance = -3.7 feet + 5.1 feet
Distance = 1.4 feet
Now, we can calculate the time it takes for the mole to cover this distance using the formula:
Time = Distance / Speed
Time = 1.4 feet / 0.4 feet per minute
Time = 3.5 minutes
Therefore, the mole approximately 3.5 minutes to reach a depth of -3.7 feet.
For such more questions on mole
https://brainly.com/question/13314627
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will give u 20 points brainlist
Answers
Answer:
once a plats grew in 2 weeks he was 12 weeks old and he grew by 10 to 60 height lead and and he gained 140 to 155 fat
Step-by-step explanation:
what is x
x/2 = (8 - 2x)/4
Answers
Answer:
x = 2
Step-by-step explanation:
x*(4) = (8-2x)*(2)
4x = -4x+16
+4x +4x
8x = 16
x = 2
Answer:
x = 2
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
5x+3y=15
x+2y= -5 solve for x and y
Answers
Answer:
x=-3/5y+3
Step-by-step explanation:
Let's solve for x.
5x+3y=15
Step 1: Add -3y to both sides.
5x+3y+−3y=15+−3y
5x=−3y+15
Step 2: Divide both sides by 5.
5x/5 = -3y+15/5
Answer
x=-3/5y+3
I am really confused and need help.
Answers
Answer:
The 3rd, 4th, and 6th are correct but I'm not sure if the second would be correct as well.
Step-by-step explanation: