Answer:
Option D.
Step-by-step explanation:
The given system of equations is
[tex]5x+2y=8[/tex] ...(1)
[tex]-4(1.25x+0.5y=2)[/tex] ...(2)
On simplifying the second equation, we get
[tex]-5x-2y=-8[/tex]
On dividing by -1, we get
[tex]5x+2y=8[/tex] ...(3)
It is clear that equation (1) and (3) are same equations. It means equation (1) and (2) represent the equivalent equation.
So, the given system of equations has infinitely many solutions.
Therefore, the correct option is D.
Answer:
infinitely many solutions
Step-by-step explanation:
Because if it is at zero zero the equations represent the same line on a graph.
It can't be A because -4 -4 is a point on a graph would intersect there and that means -4-4 is answer to the equation
It cant be B for the same reason as A
It cant be no solution because then the graph lines would be parellel
Finnaly i took the test on edge2020 and got a 100
Hope this helps yall pls hit that THANKS button below have a great day
This is the question that is after it and it goes along with the question above so I thought why not kill two birds with one stone
The system of equations shown is solved using the linear combination method
StartLayout 1st row 1st column 6 x minus 5 y = negative 8 right-arrow 2nd column 6 x minus 5 y = negative 8 right-arrow 6x minus 5 y = negative 8 2nd row 1st column negative 24 x + 20 y = 32 right-arrow one-fourth (negative 24 x + 20 y = 32) right-arrow negative 6 x + 5 y = 8 with Bar Underscript 3rd row 3rd column 0 = 0 EndLayout
What does 0 = 0 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
The correct answer is C also because of my first answer and response to the other question
What is the distance, in units, from J=(8,−9) to the x-axis?
Enter your answer as a number, like this: 42
Answer:
9
Step-by-step explanation:
The distance from the x axis is from the point (8,0)
d = sqrt( (8-8)^2 + (-9-0)^2)
= sqrt(0+ 81)
= sqrt( 81)
=9
Answer:
8
Step-by-step explanation:
8 is how far away it is in square units from the x-axis and the 7 is how far it is from the y-axis
Hope this helps
Can someone please help me with this question
Answer:
x° = 62
Step-by-step explanation:
The vertical angle to 28 degrees is 28 degrees in size.
The vertical angle to 90 degrees is 90 degrees in size.
Angles in a circle add up to 360 degrees.
x + 28 + 152 + 28 + 90 = 360
x + 298 = 360
x = 360 - 298
x = 62
Angle x is 62 degrees in size.
What is the coefficient in this expression?
5-4.7-2x+5/8
-4.7
-2
5/8
5
Answer:
in this expression, -2 is the coefficient.
Step-by-step explanation:
We know that, a coefficient is the number or value placed before a variable in an algebraic expression. here, the only variable is x, so, the coefficient is -2.
in other words, we can say that -2 is the coefficient of x.
Answer: -2
Step-by-step explanation:
the layer of gold coating on a ring should be 0.03 mm thick when the ring is completed. a coating of 0.021 mm has already been applied. how many more mm of gold coating must be added to finish the ring ?
Answer:
0.009 mm
Step-by-step explanation:
Find the difference between the two values.
0.03 - 0.021
0.009 mm more gold coating must be added to finish the ring.
when f(x)=-3 what is x
Step-by-step explanation:
i think the answer is -3 only
The formula for the volume of a cylinder is V =
Answer:
A
Step-by-step explanation:
Let me know If you want me to explain it.
Answer:
A. h = V/(pi * r^2)
Step-by-step explanation:
V = pi r^2 h
Divide both sides by pi r^2.
V/(pi r^2) = h
The h variable is isolated now.
11 You deposit $1200 in an account. The annual interest rate is 3%. How long will it take you to earn S108 in simple interest?
Answer:
its wht u r searching for...
Answer:
3 yearsSolution,
Principal=$1200
Rate=3%=3/100=0.03
Interest=$108
Time=?
Now,
[tex]t = \frac{i}{p \times r} [/tex]
[tex] = \frac{108}{1200 \times 0.03} \\ = \frac{108}{36} \\ = 3 \: years[/tex]
Hope this helps...
Good luck on your assignment..
If f(x) =1/4x+14, then f^-1(x)=
Answer: f⁻¹(x)=4x-56
Step-by-step explanation:
f⁻¹(x) is the inverse of f(x). To find the inverse, we replace the y with x, and x with y. Once we do that, we solve for y.
[tex]x=\frac{1}{4}y+14[/tex] [subtract 14 on both sides]
[tex]x-14=\frac{1}{4}y[/tex] [multiply both sides by 4]
[tex]4(x-14)=y[/tex] [distribute 4]
[tex]4x-56=y[/tex]
[tex]f^-^1(x)=4x-56[/tex]
Explain why no part of the graph[Image Displayed] appears below the x-axis?
[Graph Displayed]
a.
The y-value is always negative
c.
The y-value is always zero
b.
The y-value is always positive
d.
The y-value is always 10
Answer: I think it is “the y-value is always positive” because none of the y-values are below the x-axis, which would make them negative. Hope I helped!
Step-by-step explanation:
I need help with this problem, if anyone could help ASAP, that would be much appreciated. Please do not answer if you don't know the answer because you're wasting my points. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find arc mRP, and arc MQS,
Answers:
minor arc RP = 125 degrees
minor arc QS = 125 degrees
============================================================
Explanation
Definition: A minor arc is a piece of a circle such that it is smaller than a semi-circle with the same radius. In other words, it's measure is always less than 180 degrees.
Based on this definition, a minor arc is where we take the shortest path between any two points on a circle. For minor arc RP, we start at R then go to the right and take the shortest path to P. We do not go left when we start at R because that's the longer path and it is the major arc.
Minor arc RP is subtended by central angle ROP = 120 degrees. This central angle is equal to the arc measure in question. This isn't really a theorem, but more a definition if anything.
Central angle QOS is equal to angle ROP through the vertical angles theorem. Any pair of vertical angles are always congruent. Since QOS is 125 degrees, so is minor arc QS.
Answer:
Arc RP is 125, Arc QS is 125, Arc QR is 55, and arc SP is 55
Step-by-step explanation:
We know Arc QS is 125 degrees because angle QOS is a vertical angle with Angle ROS, so Arc QS is 125, and ARC RP is 125. We can figure out the other two arcs using the knowledge that ARC QR is equal to arc PS because angle QOR an SOP are vertical angles and all the degrees have to add up to 360. From this we get 2x + 125 + 125 = 360. From here we simplify and get 2x + 250 = 360; 2x = 110; x = 55, so arc QR and ARC SP are both 55.
Hope this helps :)
The table represents a linear function. Two Columns Five Rows Column X (-2,-1,0,1,2) and Column Y (8,2,-4,-10,-16) What is the slope of the function? a. -6 b. -4 c. 4 d. 6
Answer: A
Slope = -6
Step-by-step explanation:
Given that the column of the table are:
Column X (-2,-1,0,1,2) and
Column Y (8,2,-4,-10,-16)
Since the table represent a linear function, the equation of the function will obey the general linear equation
Y = MX + C
Where M = slope
M = ( Y2 - Y1 ) / ( X2 - X1 )
Let Y1 = 8, Y2 = 2 and X1 = -2 and X2 = -1
Substitutes all the parameters into the formula
M = ( 2 - 8 )/( -1 - - 2 )
M = ( 2 - 8 ) / ( -1 + 2 )
M = -6/1
M = -6
Therefore, the slope of the function is -6
When 14 is subtracted from 6 times a number, 40 is
left. What is half the number?
brainliest given to the first answer given
Answer:
4.5
Step-by-step explanation:
Let the number be x
6x-14 = 40
Add 14
6x = 40+14
6x = 54
Divide by 6
6x/6 = 54/6
x = 9
We want 1/2 of the number
1/2 of 9 is 4.5
what is 8 1/2 rounded to the nearest half? (HELP I NEED ANSWER NOW)
Answer:
8 1/2
Step-by-step explanation:
It is already rounded to the nearest half.
Find the equation of the line
Answer:
y= 2x +12
Step-by-step explanation:
Given:
line y= 2x -7the point (-3. 6)The line parallel to the given has the same slope of 2, let's find the intercept using the given point:
y= 2x+b6= 2*(-3)+bb= 6+6= 12So the equation is:
y= 2x +12Can someone please explain to me how to solve for x?
Answer:
X is a missing number . Find the missing number then multiply for example that 8 to the x then what the x is it’s the same number for all
Step-by-step explanation:
What is the probability of selecting a male from a group of 4
males and 8 females?
1
A 1/3
B 1/2
С 2/3
D 4/5
Answer:
[tex]P(Male) = \frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]Male = 4[/tex]
[tex]Female = 8[/tex]
Required
Probability of selecting a male
First, we need to get the total population;
[tex]Total = Male + Female[/tex]
[tex]Total = 4 + 8[/tex]
[tex]Total = 12[/tex]
Let P(Male) represent Probability of Male
Let n(Male) represent number of Male
[tex]P(Male) = \frac{n(Male)}{Total}[/tex]
[tex]P(Male) = \frac{4}{12}[/tex]
Simplify fraction by dividing the numerator and denominator by 4
[tex]P(Male) = \frac{1}{3}[/tex]
Hence, the probability of selecting a male is 1/3
CANT seem to find the answer
Answer:
A) Point C
B) Point E
Step-by-step explanation:
There are 3 vowels in the word square, and there are six total letters in the word square.
Square
There is a half chance of picking a letter that is a vowel in the word "square". (Three is half of six.)
Point C would be the most accurate spot for question 'a'.
The word square does not have a 'T'. It is certain that a letter that is not 'T' would be picked.
Point E would be the most accurate spot for question 'b'.
Answer:
a) c b) e
Step-by-step explanation:
There are 3 vowels out of 6 total cards, and c lands at 3/6->1/2.
There is no letter T, so it is a 1/1 chance of not getting a T. E lands at 1.
You're welcome.
Please help me 4x-8=16
Answer:
6
Step-by-step explanation:
4x-8=16
4x=16+8
4x=24
x=24÷4
x=6
Need help again! Thanks
Answer:
69.08 [tex] {m}^{2} [/tex]Step-by-step explanation:
Given,
Radius ( r ) = 1 m
Height (h) = 10 m
Surface area of cylinder= ?
Now,
Surface area of cylinder :
[tex]2\pi \: {r}^{2} + 2\pi \: r \: h[/tex]
[tex] = 2\pi \: r \: (r + h)[/tex]
[tex] = 2\pi \: \times 1(1 + 10)[/tex]
[tex] = 2\pi \: \times 1 \: \times 11[/tex]
[tex] = 22\pi[/tex]
[tex] = 22 \: \times 3.14[/tex]
[tex] = 69.08 \: {m}^{2} [/tex]
Hope this helps...
Good luck on your assignment..
solve the math problem please
Answer:
Option D
Step-by-step explanation:
Collect all like terms and Calculate
-10x-7x= -17x
20-54= -34
Divide
-17x < -34
x>2
Answer:
B 2 ≤x
Step-by-step explanation:
54 - 10x ≤20 +7x
Add 10x to each side
54 - 10x+ 10x ≤20 +7x+10x
54 ≤20 + 17x
Subtract 20 from each side
54-20 ≤20+17x-20
34 ≤17x
Divide by 17
34/17 ≤17x/17
2 ≤x
Convert the following equation
into slope intercept form.
8x +
2y = 0
Slope intercept form of the equation 8x+2y=0 is y= -4x
What is Slope intercept form?Slope intercept form gives the graph of a straight line and is represented in the form of y=mx + c
Given,
8x+2y=0
2y =-8x
y=-4x
Hence, the Slope intercept form of the equation 8x+2y=0 is y= -4x
Learn more about Slope intercept form here
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5. Write the following numbers in scientific notation (powers of 10) 3 067 020 ____________________________________________________ __________________________________________________________________ B) 19.507 __________________________________________________________ __________________________________________________________________
Answer:
3,067,020 = [tex]3.06702\,\,10^6[/tex]
19.507 = [tex]1.9507\,\,10[/tex]
Step-by-step explanation:
3,067,020 = [tex]3.06702\,\,10^6[/tex]
19.507 = [tex]1.9507\,\,10[/tex]
Identify the initial value and rate of change for the graph shown?
Answer:
The third option, or initial value:2, rate of change:1.
Step-by-step explanation:
The initial value is where the y-intercept is on the y-axis. For this problem it falls on the 2.
Your rate of change is your slope. I like to think of it as rise/run. Your slope in this graph is 1/1. Or just 1.
let me know if your need further explanation!
First person that gave me the correct answer will get brainliest
Which set of ratios could be used to determine if one triangle is a dilation of the other?
A. 3.6/3 = 5.4/4.5 = 6/5
B. 3.6/3 = 4.5/5.4 = 6/5
C. 3/3.6 = 4.5/6 = 5/5.4
D. 3/4.5 = 3.6/5.4 = 5/6
Answer:
Answer A
Step-by-step explanation:
Answer A is correct. Sides 3.6 and 3 form one ratio and sides 5.4 and 4.5 form another ratio of the lengths of corresponding sides.
Find mZYCD
Y
21x-7
с
100° 5x+5
E
D
A) 1199
B) 140°
C) 1230
D) 40°
Answer:
B)140
Step-by-step explanation:
So a line is=180 and the interior angles of a triangle= 180, so I did some manipulations
1. 100 + (5x+5) + <ECD = 180. But we also know that (21x-7) + <ECD=180. With some manipulation we can find that <ECD= 180 - (21x-7), so we can plug that into the other equation
2. Now: 100 + (5x+5) + (180- (21x-7))= 180
3. Solve:
105+5x+180-21x+7=180
112-16x=0
112=16x
x=7
4. Plug x=7 into 21x-7= 140
If 3 ice cream cones multiplied is equal to 27, 2 ice cream cones with one scoop of vanilla are equal to 10, 1 ice cream with 2 scoops of vanilla and 1 ice cream with one scoop of strawberry is equal to 11, 1 ice cream with one scoop of vanilla and 1 cone and 1 ice cream with 2 scoops of strawberry and one scoop of vanilla is equal to 15, then what is the value of.... 1 cone 1 vanilla scoop 1 strawberry scoop *Please Try To Give The Solution ASAP*
Answer:
each cone=3
each scoop of vanilla=2
each scoop of strawberry=1
so:
1 cone 1 vanilla scoop 1 strawberry scoop=6
Suppose you want to simulate surveying 100 people to find the date of the month (1st, 2nd, 3rd, . . .) each was born. You decide to simulate the survey by having your computer randomly list values 1 through 31. Would the simulation provide a fair representation of an actual survey of 100 people? Why or why not?
No, because for the 12 months in the year not all of the dates are represented.
Yes, because it is possible to get 100 random values in a simulation.
Yes, because all possible dates of the month would be represented.
No, because for the 12 months in the year each date is not equally likely.
Answer:
D) "No, because for the 12 months in the year each date is not equally likely."
Step-by-step explanation:
For example, february does not have 31 days as well as april so it would not be a fair representation.
PLZ HELP, NEED ASAP Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.
Answer:
Krista put 0.40 in the first equation meant for the number of stamps.
Step-by-step explanation:
Krista's equation
0.40x+y=45
x+0.55y=18.75
The system of Equation should have been
x + y = 45 (1)
0.40x + 0.55y = 18.75 (2)
From (1)
x=45-y
Substitute x=45-y into (2)
0.40(45 - y) + 0.55y = 18.75
18 - 0.40y + 0.55y = 18.75
Collect like terms and you now have
0.55y - 0.40y = 18.75 - 18
0.15y = 0.75
Divide both sides of the equation by 0.15
y = 5
Substitute y=5 into (1)
x + y = 45
x+5=45
x=45-5
x=40
This shows that the stamps that cost 0.40 cents were 40 while those that cost 0.55 cents were 5 in number.
Krista's error:
Krista put 0.40 in the first equation meant for the number of stamps.
Answer: A, Krista put 0.40 in the first equation meant for the number of stamps.
Step-by-step explanation:
Edge 2020.
I need help asap! Please I don't remember anything from Geometry and this is supposed to be for an Algebra 2 course!!
Answer:
Answer A is the first step
Step-by-step explanation:
Normally, to prove an identity, you start by writing all trig expressions in their most simple forms using the two basic trig functions sin and cos. That is done in option A, with writes tan and cot in terms of sin and cos.
A triangle is rotated 90° about the origin. Which rule describes the transformation?
O (x, y) (-x,-y)
O (x,y) (-y, x)
O (x,y) (-y,-x)
O (x,y) → (y, -x)
Answer:
second option
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (- y, x )
The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
Rotation is a process in which the orientation of a given figure is changed by turning it about a point called origin. The rotation can be done either clock-wisely or counterclockwise about the origin.
If the given triangle is rotated 90° clockwise, the rule that describe the transformation is; (x, y) - (y, -x)
If the given triangle is rotated 90° counterclockwise, the rule that describe the transformation is; (x, y) - (-y, x)
In the given question, the required rule is; (x, y) - (y, -x). This shows a clockwise rotation of 90° about the origin.
Hence, The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.
To learn more on transformation click:
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