In the given equation, k is a constant. If the equation has no solution, what is the value of k?
Answers
Answer:
0
Step-by-step explanation:
The value of constant 'k' will be [tex]\frac{1}{3}[/tex].
Given equation in the question is,
[tex]\frac{1}{3}\times (x-k)=kx[/tex]
Further solve the expression for the solution of the equation.
[tex]\frac{3}{3}\times (x-k)=3kx[/tex]
[tex](x-k)=3kx[/tex]
[tex]x-3kx-k=3kx-3kx[/tex]
[tex]x-3kx-k=0[/tex]
[tex]x(1-3k)=k[/tex]
[tex]\frac{x(1-3k)}{(1-3k)}=\frac{3kx}{1-3k}[/tex]
[tex]x=\frac{3kx}{(1-3k)}[/tex]
Since, equation has no value, denominator will be zero.
[tex]1-3k=0[/tex]
[tex]1=3k[/tex]
[tex]k=\frac{1}{3}[/tex]
Therefore, Option (D) will be the correct option.
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Related Questions
simplify
7^8 x 7^3 x 7^4
---------------------
7^9 x 7^5
Answers
Step-by-step explanation:
According to the power law of indices, when base numbers are the same and multiplying,add their exponents but when base numbers are the same and dividing, subtract their exponents.
Applying the above rule to the numerators,we have 7^(8+3+4)=7^15
Applying to the denominators we have,
7^(9+5)=7^14
Now we have 7^15/7^14=7
What is the answer to this equation
Answers
Determine if the following equations are linear or non linear.
1. x4 + x = 14
2. 5.3x + y = 42
PLEASE HELP ASAP THIS IS DUE IN 4 HOURS
Answers
Answer:
1)x⁴+x=14 (non linear)
2)5.3x+y=42 (linear)
Step-by-step explanation:
1)as it has only one variable
2)as it has more than one variable
Solve the system of linear equations by graphing
y=1/3x+5
y=2/3x+5
What is the solution
Answers
Answer:
We have the system of equations:
y=1/3x+5
y=2/3x+5
To solve it graphically, we need to graph both lines and see in which point the lines intersect.
You can see the graph below, and you can see that the lines intersect in the point (0, 5)
Now, we can also solve this analytically.
We can use the fact that for the solution, we need y = y.
Then we can write:
(1/3)*x + 5 = (2/3)*x + 5
First, we can subtract 5 in both equations to get:
(1/3)*x = (2/3)*x
This only has a solution when x = 0.
Replacing x = 0 in one of the equations, we get:
y = (1/3)*0 + 5 = 5
Then the solution is x = 0, and y = 5, as we already could see in the graph.
11.43 round to the nearest number.
Answers
Answer:
11
Step-by-step explanation:
Since 4 is not 5 or higher you round down so it is just 11
Answer:
11.4
Step-by-step explanation:
PLEASE HELPPPPP ME
What are the slope and y-intercept of the line?
A. The slope is approximately 3 and the y-intercept is 2.
B. The slope is approximately 1.33 and the y-intercept is 2.
C. The slope is approximately 2 and the y-intercept is 3.
D.The slope is approximately 2 and the y-intercept is 1.33.
Answers
Answer:
B.The slope is approximately 1.33 and the y-intercept is 2.
Step-by-step explanation:
On the graph we are going based off where the line starts and in this case it starts on the y line and that shows our y-intercept is 2. The line also doesn't have a rate of change that is directly being put onto an intersecting point like (2,2) which would make it a decimal 1.33.
Answer:
B. The slope is approximately 1.33 and the y-intercept is 2.
Step-by-step explanation:
We can eliminate answers C and D because the y-intercept is 2.
The slop is approximately 1.33 because if we go over 1 unit, we must go up approximately 1.33 units to follow the line.
The height of 2 ball in meters is given by the quadratic equation y= -5+² +14t +3, where t is the time in seconds. After how many
seconds will the ball hit the ground?
Answers
Answer: after 3 seconds
when the ball hit the ground => - 5t² + 14t + 3 = 0
⇔ (5t + 1)(t - 3) = 0
⇔ t = 3 or t = -1/5
but t is a positive integer => t = 3
so the ball will hit the ground after 3 seconds
Step-by-step explanation:
To change the 0.32 into percentage, I need to
Move to dot to the right once
Move to dot to the left twice
Move to dot to the left once
Move to dot to the right twice
Answers
A mapscale says: 2 inches equals 25 miles. How many miles does 6 inches represent??
Answers
you can set up a proportion- 2/25=6/x and cross multiply, then solve for x in the equation 2x=150
help me and ill give you like and brainliest
Answers
Answer:constrictive intergers
Step-by-step explanation:
Answer:
[tex]140,141,142,143[/tex]
Step-by-step explanation:
[tex]Let \: x \: be \: the \: lowest \: number .\\ We \: have \: an \: equation:x + (x + 1) + (x + 2) + (x + 3) = 566 \\ \Leftrightarrow 4x + 6 = 566 \\ \Leftrightarrow 4x = 560 \\ \Leftrightarrow x = 140 \\ \Rightarrow 4 \: consecutive \: numbers:140,141,142,143[/tex]
Which of the following gives all of the sets that contain sqrt9?
A. the set of all irrational numbers
B. the set of all natural numbers, the set of all whole numbers, and the set of all integers
C. the set of all integers, the set of all rational numbers, and the set of all real numbers
D. the set of all natural numbers, the set of all whole numbers, the set of all integers, the set of all rational numbers, and the set of all real numbers
Answers
Answer: C the set of all integers, the set of all rational numbers, and the set of all real numbers
Step-by-step explanation: The value of square root of 9 is ±3. This means that there two answers to square root of 9: 3 and -3.
As far as 3 is concerned, it is one of the elements of the natural number set. It is already known that natural numbers are also whole numbers, also integers, also rational numbers, and also real numbers.
As far as -3 is concerned, it is not a natural number since the set of natural numbers does not contain negative numbers. -3 is an integer. Which means that -3 is also a rational number and also a real number.
After identifying the common sets and taking the intersection of both the above classifications, it yields the set of all integers, the set of all rational numbers, and the set of all real numbers
Hopes this helps bro
Any help? Explanation would help massively too! Work out the length of AB
Answers
Answer:
Exact length = 2*sqrt(137) cm
Approximate length = 23.409 cm
====================================================
Work Shown:
Use the Pythagorean theorem
a^2 + b^2 = c^2
8^2 + 22^2 = c^2
64 + 484 = c^2
548 = c^2
c^2 = 548
c = sqrt(548)
c = sqrt(4*137)
c = sqrt(4)*sqrt(137) ..... use the rule sqrt(x*y) = sqrt(x)*sqrt(y)
c = 2*sqrt(137) .... this is the exact length
c = 23.4093998214392 ... use your calculator to find the approximate length
c = 23.409
I rounded to three decimal places, but feel free to round however you want. Or be sure to follow any rounding instructions your teacher provides.
PLEASE HELP!
functions:
w(x)=-2x+12
m(x)=1/2x-4
find m(2w(x))
Answers
Answer:12
Step-by-step explanation:
two thousand brown trout are introduced into a small lake. the lake has a volume of 20,000 cubic meters. use a table to find the probability that three brown trout are found in any given cubic meter of the lake.
a. find the average number of brown trout per cubic meter.
b.identify µ and x
c. use table 3 in appendix B to find the poison probability
d. interpret the results
e. determine whether the event is unusual. explain
Answers
Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being “very satisfactory.” This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey?
Answers
Answer:
320 Customers took the survey
Step-by-step explanation:
Answer:
Step-by-step explanation:
144 is 45% of the total customers who took the survey.
Total customers who took survey= 144 × 100/45 = 320
What does the "5" represent in 132/5
Answers
Answer:
the denominator
Step-by-step explanation:
So, say if you have 132 circles, and 5 are shaded in. That would be what 5 represents!
Hopefully, this helps! :D
Ask your question below.
Please please help on the first question only! Will mark brainliest :)
Answers
Answer:
y=-25x+15
Step-by-step explanation:
I just used the y=mx+b equation and plugged in the numbers we know by the graph.
PLEASE HELP DON’T ANSWER IF YOU DON’T KNOW!! Mr. Sanchez drives 120 miles in 3 hours. At the same rate, how far will he drive
in 5 hours?
Answers
Answer:
200 miles
Step-by-step explanation:
First have to find how many miles he drives in 1 hour. So, we divide 120 miles by 3 hours, since we assume that he managed to drive an equal amount in each hour.
120/3=40
This shows that Mr. Sanchez drove at a rate of 40 mph.
But, this isn't the answer. 40 miles is the distance for one hour of driving. To find the distance for 5 hours, we have to multiply the distance by 5 as well.
40 times 5=200
O 200 miles
Explination~first you start by dividing 120 by 3 to find out how many miles he drives in one hour120 ÷ 3
=
40
Then you would time 40 by 5 to get how many miles he can drive in 5 hours40 × 5
=
200
------------------------------------------------------------------------Hope I helped!!
Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinates of A'?
Answers
Answer:
The coordinates of point A' will be: A'(-2, 0)
Step-by-step explanation:
We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.
Translation does not change the size, orientation, or shape of the original object.
Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).
Now we have to translate the triangle 4 units up. So, use the formula
P(x, y) → P'(x, y + 3)
Thus, the coordinates of point A' will be:
A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)
Therefore, the coordinates of point A' will be: A'(-2, 0)
what is 9+10+10000000000000000+2000000000000000000+99999999999999999999999999999999999999999999
Answers
Answer:
1e+44
Step-by-step explanation:
Answer:
1e+44
Step-by-step explanation:
WILL GIVE BRAINLIEST!! How do we calculate relative frequencies?
Answers
Answer:
When we look at relative frequency, we are looking at the number of times a specific event occurs compared to the total number of events.
Step-by-step explanation:
Hey now you can give me a brainliest for actually giving an answer haha :)
What is the value of x in the solution to this system of equations?
3x+5y=94
x=2y−9
Enter your answer in the box.
Answers
Answer:
x=13
Step-by-step explanation:
The following triangles are similar. What is the missing side length x?
Answers
Explanation : the second triangle is dilated by 2 .
PLEASE HELP ME FASTT Lily likes to collect records. Last year she had 15 records in her collection. Now she has 18 records.
What is the percent increase of her collection?
Answers
Answer: it’s a 16.667% increase
Step-by-step explanation:
Because you increased from 15 to 18 which is 3 over a total of 18 now.
3/18=1/6=16.667%
Answer:
20%
Step-by-step explanation:
.15 is 1 percent of 15. .15 x 20 = 3. 15 + 3 = 18 PLS MARK ME BRAINLIEST
3/4(3x+6)−14(5x−24) How do I solve this
Answers
Answer:
1362−271x/4
Step-by-step explanation:
STEP 1 :
Equation at the end of step 1
(3/4 * (3x+6))-14*(5x-24)
STEP 2 :
Simplify 3/4
Equation at the end of step 2 :
3
(— • (3x + 6)) - 14 • (5x - 24)
4
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
3x + 6 = 3 • (x + 2)
Equation at the end of step
4
:
9 • (x + 2)
——————————— - 14 • (5x - 24)
4
STEP
5
:
Rewriting the whole as an Equivalent Fraction
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
14 • (5x - 24) 14 • (5x - 24) • 4
14 • (5x - 24) = —————————————— = ——————————————————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
9 • (x+2) - (14 • (5x-24) • 4) 1362 - 271x
—————————————————————————————— = ———————————
4 4
Final result :
1362 - 271x
———————————
4
A music club charges an annual membership of $35.65 plus $12.99 for each CD purchased. If Naomi's total bill for the year was 178.54, how many CDs did she purchase.
Answers
Answer:
Step-by-step explanation:
178.54-35.65=142.89
then you do 142.89/12.99=11
She bought 11 CDs
How many 0.1 slices of portabella mushroom will go on each boot long hoagie? 1.2 lbs of portabella divided by 0.4 lb
Answers
Answer:
3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer is 4
If you answer both I will give Brainliest they have to be correct.Good luck
Answers
Answer:
3
Step-by-step explanation:
Answer:
5) 2 7) 4
Step-by-step explanation:
3/5 x 25 = 15
15 - 1 = 14 / 7 = 2 = x
25 20
--- = ----
40 7x+4
25 x 4/5 = 20
40 x 4/5 = 32
32 - 4 = 28 / 7 = 4 = x
give a step by step instructions
(just show ur work you don’t have to explain it)
it’s due today please help ;-;
Answers
Answer:
1. X-intercept is 5 Y-intercept is 4 (Red Line)
2. X-intercept is 1 Y-intercept is 2 (Blue Line)
3. X-intercept is -2 Y-intercept is 4 (Green Line)
Step-by-step explanation:
DESMOS graphing calculator. Here is the graph showing my work:
y = (x-4) (x+5) what is the x intercept and the x coordinate of vertex?
Answers
Answer: x = (4,0) (-5,0)
Step-by-step explanation: You Have To Use The 5 and the 4 to graph the points and since those were the only number They Stay At (4,0) and (-5,0)