Answers
Answer:
[tex]x = -2, x = \frac{1}{6}[/tex]
completing square method:
[tex]\rf 6x^2 + 4x = 2 -7x[/tex][tex]\rf 6x^2 + 4x + 7x -2 = 0[/tex][tex]\rf 6x^2 + 11x -2 = 0[/tex][tex]\rf 6x^2 +12x - x - 2 = 0[/tex][tex]\rf 6x ( x + 2) -1(x + 2) = 0[/tex][tex]\rm (x+2)(6x-1) = 0[/tex][tex]x = -2, x = \frac{1}{6}[/tex]Factorise :
[tex]\qquad \sf \: { \dashrightarrow {6x}^{2} + 4x= 2 - 7x}[/tex]
[tex]\qquad \sf \: { \dashrightarrow {6x}^{2} + 4x + 7x - 2 =0}[/tex]
[tex]\qquad \sf \: { \dashrightarrow {6x}^{2} + 11x - 2 =0}[/tex]
[tex]\qquad \sf \: { \dashrightarrow {6x}^{2} + 12x - x - 2 =0}[/tex]
[tex]\qquad \sf \: { \dashrightarrow {6x}^{} (x+ 2) -1( x + 2 )=0}[/tex]
[tex]\qquad \sf \: { \dashrightarrow ({6x}^{} - 1) (x+ 2) =0}[/tex]
[tex]\qquad \sf \: { \therefore 6x - 1=0} [/tex]
[tex] \qquad \sf \: \dashrightarrow6x =1 [/tex]
[tex]\qquad \sf \: { \dashrightarrow x= \dfrac{1}{6} }[/tex]
[tex]\qquad \sf \: { \therefore x + 2=0} [/tex]
[tex]\qquad \sf \: { \dashrightarrow x = - 2} \\ [/tex]
Therefore, whether the value of x = 1/6, x = –2Related Questions
PLS TELL ME IF THESE ARE SIMILAR
Answers
Answer:
They are
Step-by-step explanation:
one of the angles is the same
Answer: These triangles are NOT similar. If these triangles were similar, all the angles would have to be equal. Therefore, the angles in each triangle would be 47, 56, and 71 degrees. When we sum 47 + 56 + 71, we get 174 which is not equal to 180 degrees. Therefore, these triangles are NOT similar.
Which of the following statements regarding the expansion of (x+y)^n are
correct?
O A. The coefficients of x^n and y^n both equal 1.
B. The coefficients of x^n-1 and y^n-1 both equal 1.
- 1
O c. The coefficients of x^a y^b and x^b y^a are equal.
O D. For any term x^a y^b in the expansion, a-b = n.
Answers
Answer:
A, B, and D are all true
Step-by-step explanation:
N/A
The two true statements for the expansion are A and C.
Which statements are true?In the expansion of (x + y)ⁿ, each one of the terms will have a total exponent equal to n, this means that we will have terms like:
[tex]x^k*y^j[/tex]
Such that k + j = n.
Particularly, we get the terms xⁿ and yⁿ only once, so the first statement is correct, the coefficients of these terms will be 1.
It is also true that the coefficients of:
[tex]x^k*y^j = x^k*y^k[/tex]
Are equal.
Then the two true statements are A and C.
If you want to learn more about expansions:
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If AB = 12, AC = 16, and ED = 5, find AE.
Answers
Answer:
AE =15
Step-by-step explanation:
BC=16-12 = 4
AE=x
12/4 = x/5
Cross multiplication
4x=60
x=15
4x3 = 12
5x3 =15
Donya earns $12.64 an hour and time and a half for overtime. The week of
June 26–30 she worked 48 hours. How much were her gross earnings for the
week?
Answers
Answer:
$606.72
Step-by-step explanation:
12.64x48
How much she gets payed x her hours.
if the base is two and you have to get to 128 whats the exponet
Answers
Answer:
[tex] {2}^{7} \\ [/tex]Step-by-step explanation:
[tex] = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\ = {2}^{7} \\ [/tex]
How do you find 1 1/8 times 8/7
Answers
Subtract. (− 3 f + 9) − (9 − 3 f)
Answers
Answer:
Step-by-step explanation:\
first open the brackets
-3f + 9 - 9 -3f
collect like terms
-3f -3f +9 -9
-6f + 0
here you go :)
-3f + 3f +9 -9
0
please help me with this
Answers
Answer:
74
Step-by-step explanation:
I am sorry if this is wrong
If it is right can I get Brianlest.
52/20 and put the remainder as a fraction, also put the solution
Answers
Answer:
2 3/5
Step-by-step explanation:
how many times does 20 go into 52
20 x 2 = 40
52 - 40 = 12
12/20 can be simplified into 3/5
Answer:
52/20 and put the remainder as a fraction, also put the solution
Step-by-step explanation:
Imani and Samuel are designing a game. In each turn, a player rolls three 666-sided dice and adds the numbers showing on each face to determine how many points they get that turn. For example, the lowest number of points in a given turn is 1+1+1=31+1+1=31, plus, 1, plus, 1, equals, 3 points, and the highest is 6+6+6=186+6+6=186, plus, 6, plus, 6, equals, 18 points. They let XXX represent the sum in a given turn, and they find the expected value of XXX is E(X)=10.5E(X)=10.5E, left parenthesis, X, right parenthesis, equals, 10, point, 5 points. Imani says, "After a very large number of turns, the average number of points per turn will be close to 10.510.510, point, 5." Samuel says, "Over 100100100 turns, we can expect a total of about 1{,}0501,0501, comma, 050 points." Whose statement is correct based on the expected value?
Answers
Answer:
C:Both
Step-by-step explanation:
Got it fight on Khan Academy
Both of these statements are correct
What is expected value?
In statistics, expected value is computed by multiplying all the possible outcomes by the likelihood of occurrence of each outcome and then summing all of those values. In simpler terms, expected value is the mean of a probability distribution.
Here, expected value of the sum is given by E(X)= 10.5
Imani says- "After a very large number of turns, the average number of points per turn will be close to 10.5"
This statement is correct as the expected value is also the mean of the probability distribution and hence after very large number of turns, the average number of points per turn will be close to the mean value i.e. 10.5.
Samuel says, "Over 100 turns, we can expect a total of about 1,050."
This statement is also correct. Since the expected value is 10.5, in 100 turns, we can expect on average 10.5 points per turn.
∴ Total points in 100 turn = 10.5 * 100 = 1,050.
Hence, both Samuel and Imani are correct.
Learn more about expected value here-
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Line segment AB has endpoints A(-2, 0) and B(4, 8).
Point C is on the line segment AB and is located at (2.5, 6).
What is the ratio of CB/AC
? DO NOT use the Section Formula to solve this problem.
Answers
The ratio of [tex]\frac{CB}{AC}[/tex] is 3.
How to calculate a distance ratio in a line segment
The ratio of [tex]\frac{CB}{AC}[/tex] is the length of line segment CB divided by line segment AC. Each length is found by Pythagorean theorem:
Line segment AC[tex]AC = \sqrt{[2.5-(-2)]^{2}+(6-0)^{2}}[/tex]
[tex]AC = 7.5[/tex]
Line segment CB[tex]CB = \sqrt{(4-2.5)^{2}+(8-6)^{2}}[/tex]
[tex]CB = 2.5[/tex]
Finally, the ratio of [tex]\frac{CB}{AC}[/tex] is:
[tex]\frac{CB}{AC} = \frac{2.5}{7.5}[/tex]
[tex]\frac{CB}{AC} = 3[/tex]
The ratio of [tex]\frac{CB}{AC}[/tex] is 3.
To learn more on ratios, we kindly invite to check this verified question: https://brainly.com/question/1504221
n-25= -18 solve please
Answers
Answer:
n = 7
Step-by-step explanation:
n - 25 = -18
+25 +25
n = 7
[tex]\bold{ n - 25 = -18 }[/tex]
Add 25 to both sides
[tex]\bold{ n - 25 = -18 }[/tex]
[tex]\bold{ n - 25 +}\bold\pink{25} \bold{= -18 +}\bold\pink{ 25}[/tex]
Simplify :
Add the numbers
[tex]\bold{ n = 7 }[/tex]
HELPPPP PLEASE
Part E
How could you use a random number generator with the digits 0 to 9 to simulate the scenario?
Answers
Answer:
In Matlab, the command rand(1) returns a random number between 0 and 1 assuming uniform distribution. We can build other random variables using rand. For example, to get a random number between a and b we can use a+rand(1)(b − a). To get a 0 or 1 on a random way in Matlab, you can use round(rand(1)).
Step-by-step explanation:
Answer: Here's one possible simulation:
The probability of Americans exercising the given amount is 50%, which means that the probability of Americans not exercising the given amount is also 50%. In other words, the ratio of Americans who exercise the given amount to those who don’t is 1 : 1. Simulate this situation using a random number generator where the numbers 0 to 4 represent a person who exercises the given amount and the numbers 5 to 9 represent a person who doesn’t. Generate sets of three numbers, one for each person. If all three of the numbers are between 5 and 9, this result would mean all three people do not exercise as much as 50% of Americans do.
Step-by-step explanation: From Edmentum
Find the equation of the line which is parallel to y = 1/3 * x - 2 and goes through the point (9, 5)
Answers
Answer:
The equation of the line that parallel to y = 1/3 * x - 2 and goes through the point (9, 5) is: 1/3 * x - 20
Because this line is parallel, it slope doesn't change. Next, you mark point (9, 5), then draw a line until the line touch the y-axis, and that is your y-intercept
What is the volume of a cylinder with a height of 14.6M and a base with a diameter of 18.2M, to the nearest chance of cubic meter
_________ M^3
Answers
Answer:
3796.34164m^3
Step-by-step explanation:
you first need to find the radius of the circle that is the top by dividing 18.2 in two. then you need to square it to find the area of that portion of the circle. then multiply it by 3.14 or pi. then after you do all that you should get 82.81m^2. after that you multiply it by the height of the cylinder which is 14.6m. after that you have your answer of 3796.34164m^3. this might be a little bit off so I recommend using pi.
How do I solve this ????????
Answers
Answer:
You do radius x height.
Step-by-step explanation:
A compact car depreciates at 10% per year three years ago it was purchased for 21,000. Whats it worth now? Pls help me
Answers
Answer:
Step-by-step explanation:
Methods of depreciation
In practice, several different methods for calculating depreciation are used. These methods can be either based on the passage of time or the level of usage of the asset. The following depreciation methods can be applied to different types of tangible assets:
Note that at the end of an asset lifespan, the total amount of its depreciation will be identical, no matter which method of depreciation is applied. The only thing that varies over the different methods of depreciation is the timing (the amount of money that is depreciated over the smaller periods).
In the further part of this text, we will focus on the description of the three most commonly used types of depreciation: the straight line depreciation, the declining balance depreciation, and the sum of years digits depreciation. We're going to pay attention especially to the depreciation formulas and the detailed explanation of how to calculate the value of depreciation with each of them.
Residual value and depreciation
As was already mentioned, residual value (salvage value) is an estimated amount of money that an asset will be worth after the planned number of years of use. Obviously, in real life, it is impossible to accurately predict the exact salvage value of an asset after a particular number of years.
That means that the salvage value is only an approximation. However, in accounting, this approximation is just a kind of a transition state. It is because when you sell an asset, if the cash received for it is greater than its net book value (Initial Value minus Accumulated Depreciation), you will need to record a gain on sale. On the other hand, if you sell an asset below its net book value, you will need to record a loss on sale.
Note here that, if this number of years in use is equal to the product lifetime, the residual value is zero.
Car depreciation calculator
For sure, one of the most interesting cases of depreciation is the loss of value of a motor vehicle. As you probably know, the value of a brand new car decreases sharply as soon as you drive off of the car dealership (experts say that the value of a car decreases to 91% of the initial value the minute you purchase it!). Over the next years, the value of the car decreases, until after several years (around 10 to 11), it reaches zero value. Obviously, you will still be able to sell it. However, its market value will be very low. To avoid the hassles of selling a used car, many people prefer leasing a car these days instead of buying one.
If you are interested in detailed car depreciation calculations, be sure to look at our car depreciation calculator. It uses a model more specific to automobiles.
How to use our depreciation calculator?
Our smart depreciation calculator enables you to compute the yearly depreciation and to determine the value of an asset after a certain time has passed on the basis of the three most commonly used methods. They are the straight line depreciation, the declining balance depreciation, and the sum of years digits depreciation.
To get results using our calculator, all you need to do is to fill in four fields:
Original cost - the original value of the asset (purchasing price),
Residual value - an estimated amount of money that an asset will be worth after the lifetime has elapsed (it is usually assumed that it is equal to zero, for more information see section Residual value and depreciation),
Lifetime - the estimated number of years the asset is likely to remain in service,
End book value after… - in this field, you should provide the year after which you would like to compute the book value of the asset.
And that's it! In a moment, our depreciation calculator computes three variants of depreciation. If you are curious how it works, you should get familiar with the depreciation of the formulas described in the following sections of the article. Each formula uses the same set of symbols:
OV is the original cost (value) of the asset,
RV is the residual value of the asset,
n is the lifetime of the asset,
m is the number of years that passed between when the asset was purchased and the date you want to sell it (it corresponds with the field End book value after… in the calculator).
Ratios! please help me:) match the equivalent ratios I will give brainliest when I can!
Answers
Answer:
Step-by-step explanation:
Let's rewrite all the fraction to ratios
4:6, 10:12, 2:5, 4:7
Now, using the direct proportion, if one increase/decrease, the other increase/decrease by the same amount
4:6 = (4x2) : (6x)2 = 8:12
10:12 =( 10:2) : (12:2) = 5:6
2:5 = (2x3) : (5x3) = 6:15
4:7 = (4x2) : (7x2)= 8:14
Line K has the equation y=5x-4.
Line L is parallel to line K, but passes through the point (-2,-7).
The equation for L in slope-intercept form is: ______
Answers
Explanation:
Parallel lines always have equal slopes, but different y intercepts.
Line K has a slope of 5, which means line L also has this slope too. Refer to the y = mx+b form.
Plug in the coordinates of (-2,-7) as well as the slope mentioned and solve for b.
y = mx+b
-7 = 5(-2) + b
-7 = -10+b
-7+10 = b
3 = b
b = 3
The y = mx+b updates to the final answer of y = 5x+3
evaluate f(x)=-4x+7;f(1)
help
Answers
Answer:
f(1) = 3
Step-by-step explanation:
substitute x = 1 into f(x) , then
f(1) = - 4(1) + 7 = - 4 + 7 = 3
Let's see
f(x)=-4x+7for f(1) put x=1
-4(1)+7-4+73
Mr. Wash can clean 40 cars every of an
hour. Mr. Clean can clean 250 cars every 2
hours. Which car wash cleans more cars per
hour? Provide evidence.
Answers
Answer:
if you said 1/4 of an hour it would be the 40 cars, if half of an hour the 250 cars.
Step-by-step explanation:
8. Which of the following equations has a
positive slope and a negative y-intercept?
A. y = 1.75x
B. y = 2/3x - 1
C. y = -4x + 7
D. y = -0.5-1
Answers
Answer:
B
Step-by-step explanation:
the 2/3x represents how much it will increase while the -1 represents the y-intercept
Consider the number pattern -6, -11, -16, -21..... Which term of the pattern =-401?
Answers
Answer:
First get the formula for your pattern in the form of TN. Where d represents your difference and a represents your first term. Then equate the -401 to your formula and solve for n
How many soultions does the system of equations have? Please help!! Will give brainlyest and 25 points!!
`y=4x+3
`3y-12x=9
(show how you got the answer to so i can know what to do next time thanks.) :)
A. One
B. Two
C. Infintely many
D. None
If you have the whole retest please give me the answers but if not just answer this question pls.
Answers
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
y=4x+3
Step-by-step explanation:
one A
Roundabout - Rate of Change
Here are the graph and table to represent the man’s distance from the camera for the given time interval from the video. Use both the graph and the table to answer the following questions. Be sure to include units where appropriate.
1. What is the average rate of change for the interval [0, 2]?
2. What does the average rate of change mean for the interval [0, 2]?
3. What is the average rate of change for the interval [6, 10]?
4. What does the average rate of change mean for the interval [6, 10]?
Answers
Answer:hi i have a question for you that i need help in soo can you go in my profile and see
Step-by-step explanation:
solve for x. round to the nearest tenth
Answers
Answer:
43.1
Step-by-step explanation:
We can figure this out by using a bit of simple trigonometry
Using the available values we know we have to figure out x using cos because it includes the adjacent and hypotenuse values.
"Soh Cah Toa"
Cos(x) = Adjacent / Hypotenuse
Cos(x) = 8/11
Cos(x) = 0.73
Using [tex]cos^{-1}[/tex] we can figure out x from the side length
x = [tex]cos^{-1}[/tex](0.73)
x = 43.1 degrees (rounded)
neil has 3 partially full cans of white paint. They contain 1/3 gallon, 1/5 gallon, and 1/2 gallon of paint about how much paint does neil have in all?
Answers
Find out the secret number! Here's the clues
It is an integer.
It is a multiple of three, five, and seven.
No digit occurs more than once.
The digit in the tens place is a square number.
The digit in the hundreds place is a cube. The digit in the hundred thousands place is both a square and a cube.
Only the digit in the hundreds place is larger than the digit in the ones place
What is the number?
please show how you got the number please :)
Answers
Answer:
Step-by-step explanation:
Known facts:
multiple of three, five, and sevenNo digit occurs more than oncedigit in the tens place is a square number.the digit in the hundreds place is a cubeThe digit in the hundred thousand places is both a square and a cube.Only the digit in the hundreds place is larger than the digit in the ones placeAnalyzing our choices:
since the tens place is a square, but cannot be larger than the ones place, it has to be either 1 or 4the hundreds place is a cube which can be 8 not one since the digit in the hundred thousand places is both a square and a cube which is 1also, the number is divisible by 5 meaning that the last digit must be 5 or zero. However, only the hundreds place is larger than the digit in the ones place so it must be 5Looking at what we have so far:
1 _ _ 8 4 5
this number is divisible by 3 and cannot be larger than 5 which is in the units placewhen a number is divisible by 3 all its digits must add to a number that is divisible by 3, meaning that the last unfilled digits can be filled by '0' and '3'now the order of '0' and '3' is determined by whether the number is divisible by 7Result: 103845 is the secret number
Hope that helps!
PLEASE HELP
100!!! POINTS
Answers
Answer:
Most Unlikely: Less than 5
Likely: 2-digit number
Unlikely: Multiple of 3
Equally Likely: Odd
Most Likely: Greater than 10
Step-by-step explanation:
there are 6x5, or 30 outcomes
Less than 5 has 1 outcome - spinner and dice both are one
Odd has 15 outcomes
Multiple of 3 has 8 outcomes: 1+5, 2+1, 2+7, 2+12, 3+12, 4+5, 5+7, 5+10
Two-digits has 12 outcomes
Greater than ten has 16 outcomes
Answer:
Most Unlikely: Less than 5
Likely: 2-digit number
Unlikely: Multiple of 3
Equally Likely: Odd
Most Likely: Greater than 10
--
There are exactly 30 outcomes5 or less have 1 outcome that the dice and spinner is 1Having a multiple of 3 has 8 out comes Having an odd number are 155Having it greater than 10 have 16 outcomesTwo-digits has 12 outcomesA tank has 120 gallons of
water and is being drained at a rate of
gallon each second. Another tank has 100
gallons of water and is being drained at a
rate of á gallon each second. Which equation
could be used to determine x, the number of
seconds, when the two tanks have the same
amount of water?
