Answer:x>-1
Step-by-step explanation:
Step 1: Subtract 3 from both sides.
-3x+3-3<6-3
-3x<3
Step 2: Divide both sides by -3.
-3x/-3<3/3
X>-1
assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetins or classes.
Answer:
0.3032
Step-by-step explanation:
Use binomial probability.
P = nCr p^r q^(n-r)
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1-p).
P = ₆C₃ (0.45)³ (0.55)³
P = 0.3032
For every 1% increase in
unemployment, there is a 2%
decrease in potential GDP. This
creates a GDP gap. What is the GDP
gap when there is 4.5%
unemployment?
Answer:
The GDP gap is 9 % when there is 4.5 % unemployment.
Step-by-step explanation:
The statement shows a reverse relationship, where an increase in unemployment is following by decrease in potential GDP and can be translated into the following rate:
[tex]r = \frac{2\,\% \,GDP}{1\,\% unemp.}[/tex]
The GDP gap at a given increase in unemployment can be estimated by the following expression:
[tex]\frac{g}{u} = r[/tex]
[tex]g = r\cdot u[/tex]
Where:
[tex]r[/tex] - GDP gap-unemployment increase rate, dimensionless.
[tex]u[/tex] - Increase in unemployment rate, measured in percentage.
[tex]g[/tex] - GDP gap, measured in percentage.
If [tex]r = \frac{2\,\% \,GDP}{1\,\% unemp.}[/tex] and [tex]u = 4.5\,\%\,unemp.[/tex], the GDP gap is:
[tex]g = \left(\frac{2\,\%\,GDP}{1\,\%\,unemp.} \right)\cdot (4.5\,\%\,unemp.)[/tex]
[tex]g = 9\,\%\,GDP[/tex]
The GDP gap is 9 % when there is 4.5 % unemployment.
6• 2hen+3pens-5anchors
Answer:
[tex]180[/tex]
Step-by-step explanation:
[tex]6 \times 2 \times 3 \times 5[/tex]
[tex]12 \times 15[/tex]
[tex]=180[/tex]
Steps to solve:
6 * 2 + 3 - 5
~Multiply
12 + 3 - 5
~Add
15 - 5
~Subtract
10
Best of Luck!
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Answer:
(x-1)(x-4)
Step-by-step explanation:
I used long division with polynomials to help me find the other factor to this problem. Divide x cubed -5x squared -6x+8 by x+2 to get x squared -5x+4.
Hope this helps!
Answer: (x + 2) (x - 4) (x - 1)
Step-by-step explanation:
Use synthetic division. If the remainder (last digit) is zero, then it is a factor. The other digits represent the coefficients of the reduced polynomial.
x³ - 3x² - 6 + 8 ; x + 2 = 0 --> x = -2
-2 | 1 -3 -6 8
| ↓ -2 10 -8
1 -5 4 0 → remainder is 0
Reduced polynomial: x² -5x + 4
= (x - 4) (x - 1)
Factored form: (x + 2) (x - 4) (x - 1)
The average amount of water in randomly selected 16-ounce bottles of water is 16.15 ounces with a standard deviation of 0.45 ounces. If a random sample of thirty-five 16-ounce bottles of water are selected, what is the probability that the mean of this sample is less than 15.99 ounces of water? Answer: (round to 4 decimal places)
Answer:
0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 16.15, \sigma = 0.45, n = 35, s = \frac{0.45}{\sqrt{35}} = 0.0761[/tex]
What is the probability that the mean of this sample is less than 15.99 ounces of water?
This is the pvalue of Z when X = 15.99. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{15.99 - 16.15}{0.0761}[/tex]
[tex]Z = -2.1[/tex]
[tex]Z = -2.1[/tex] has a pvalue of 0.0179
0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.
A visitor is staying in a cabin that is 3 miles west of the closest point on a shoreline to a coral reef. The coral reef is 2 miles due south of the shoreline. The visitor plans to travel from the cabin to the coral reef by running and swimming. If the visitor runs at a rate of 7 mph and swims at a rate of 2 mph, how far should the visitor run to minimize the time it takes to reach the coral reef
Answer:
3.6miles
Step-by-step explanation:
Given:
distance of tent from the closest point on shore-line, d=3miles.
distance between shoreline point and coral reef, x=2miles
The shortest distance (say l) that the visitor runs towards the reef in order to swim a minimum distance which takes least time.
[tex]\therefore l^2=d^2+x^2\\l=\sqrt{3^2+3^2} \\l=3.6\ miles[/tex]
Now on reaching at the shore at this point the visitor will have to swim the least distance due east to reach coral reef.
Need help with the sticks i dont get it
Answer:
C. -7 < x < 7
Step-by-step explanation:
|2x| is the absolute value of 2x. You can think of it as the positive of a number, or as the distance between a number and 0 on a number line.
So |2x| < 14 means 2x is less than 14 units away from 0.
We can split this into two inequalities.
2x < 14 and 2x > -14
Solving both, we get:
x < 7 and x > -7
-7 < x < 7
Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠B1 is larger than ∠B2.)
a = 36, c = 48, ∠A = 39°
Find angles; B1, B2, C1, C2
Find sides; b1, b2
Answer:
57.0°, 123.0°
84.0°, 96.0°
56.9,
Step-by-step explanation:
Given:
a = 36, c = 48, ∠A = 39°
∠B1 is larger than ∠B2
Find attached the diagram.
We would apply sine rule to find ∠C
a/sinA = c/sinC
36/sin39° = 48/sinC
36sinC = 48sin39
sinC = 48sin39/36 = 48(0.6293)/36
sin C = 0.8391
C = arcsin(0.8391)
C= 57.045
∠C1 = C = 57.0° (1 decimal place)
For sine rule, angles which give same value are x and (180-x)
If C= x = 57.0°
180-x = 180 - 57.0° = 123°
∠C2 = 123.0°
sin57° = sin123° = 0.8387
∠A + ∠B + ∠C = 180° (sum of angles I'm a triangle)
39.0 + ∠B +57.0 = 180°
∠B = 180-(39+57)
∠B = 84.0°
∠B1 = 84.0°
∠B2 = 180-∠B1 = 180°-84.0°
∠B2 = 96.0°
∠B1 is smaller than ∠B2
b/sinB = c/sinC
b1/sinB1 = c1/sinC1
b/sin84 = 48/sin57
b = 48sin84/sin57
b = 56.9
The measure of C is 57.0 and the measure of B is 84.0 degrees
The given parameters are:
[tex]\mathbf{a = 36cm}[/tex]
[tex]\mathbf{c = 48cm}[/tex]
[tex]\mathbf{\angle A = 39^o}[/tex]
The measure of angle Ais calculated using the following sine formula
[tex]\mathbf{\frac{a}{sin\ A} = \frac{c}{sin\ C}}[/tex]
So, we have:
[tex]\mathbf{\frac{36}{sin\ 39} = \frac{48}{sin\ C}}[/tex]
Evaluate sin 39
[tex]\mathbf{\frac{36}{0.6293} = \frac{48}{sin\ C}}[/tex]
Cross multiply
[tex]\mathbf{sin\ C \times 36 = 48 \times 0.6293}[/tex]
[tex]\mathbf{sin\ C \times 36 = 30.2064}[/tex]
Divide both sides by 36
[tex]\mathbf{sin\ C= 0.8391}[/tex]
Take arc sin of both sides
[tex]\mathbf{C = sin^{-1}(0.8391)}[/tex]
[tex]\mathbf{C = 57.0}[/tex]
The value of B is:
[tex]\mathbf{B = 180 - A - C}[/tex]
So, we have:
[tex]\mathbf{B = 180 - 39 - 57.0\\}[/tex]
[tex]\mathbf{B = 84.0}[/tex]
Hence, the measure of C is 57.0 and the measure of B is 84.0 degrees
Read more about sine equations at:
https://brainly.com/question/14140350
Find the maximum/minimum value of the quadratic function g^2-2g=y+323 by completing the sqaure method
Answer:
the minimum value of y is -324
Step-by-step explanation:
Add the square of half the g coefficient:
g^2 -2g +1 = y +324
(g -1)^2 -324 = y
This is "vertex form" indicating the vertex is (1, -324). The leading coefficient is positive, so the parabola opens upward. The vertex is the minimum.
Minimum y-value is -324.
In the game of roulette, a player can place a $10 bet on the number 19 and have a StartFraction 1 Over 38 EndFraction
probability of winning. If the metal ball lands on 19, the player gets to keep the $10 paid to play the game and the player is awarded an additional $350. Otherwise, the player is awarded nothing and the casino takes the player's $10. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose? Note that the expected value is the amount, on average, one would expect to gain or lose each game.
Answer:
(a)-$0.53
(b)$530
Step-by-step explanation:
If the player wins the game, he gets a profit of $350.
If the player losses the game, he gets a profit of -$10.
Probability of Winning [tex]=\dfrac{1}{38}[/tex]
Probability of Loosing [tex]=\dfrac{37}{38}[/tex]
(a)Expected Value of the game
[tex]E(x)=\left(\dfrac{1}{38} \times 350\right) + \left(\dfrac{37}{38} \times -10\right)\\=-\$0.53[/tex]
The expected value of the game to the player is -$0.53.
(b)If the game is played 1000 times
Expected Loss = 0.53 X 1000
=$530
The player should expect to lose approximately $530 if he plays the game 1000 times.
A contractor is considering whether he should take on a project that promises a profit of $8800 with a probability of 0.83 or a loss (due to bad weather, strikes, etc.) of $2900 with a probability of 0.17. What is the expected profit for the contractor
Answer: 6811
Step-by-step explanation:
in this problem the values are 8800 and -2900 and the respective probabilities are 0.83 and 0.17
--
so the expected profit o# sum = (x*P(x))=8800*(0.83)+(-2900)*(0.17)=6811
HELP ME PLEASEEE DJSUS JDIDJSJDHOSSJEJDKDHKS
Answer:
(8, 20)
Step-by-step explanation:
Let's input each values of the ordered pair given as options to see which one satisfy the equation y = 16 + 0.5x
==>Option 1: (0, 18)
18 = 16 + 0.5(0)
18 = 16 + 0
18 ≠ 0
Option 1 is incorrect.
==>Option 2: (5, 19.5)
19.5 = 16 + 0.5(5)
19.5 = 16 + 2.5
19.5 ≠ 18.5
Incorrect.
==>Option 3: (8, 20)
20 = 16 + 0.5(8)
20 = 16 + 4
20 = 20
CORRECT
==>Option 4: (10, 21.5)
21.5 = 16 + 0.5(10)
21.5 = 16 + 5
21.5 ≠ 21
Incorrect.
The answer is (8, 20)
Please answer this question I give brainliest thank you! Number 14
Determine whether each claim is true or false about the properties of the triangle.
Segment AB will move further away from point P (since both A and B move away from P). So it's not possible for AB and A'B' to be on the same line. In fact, these two line segments are parallel.
In contrast, AC and A'C' are on the same line. Points A and C move away from P, but line AC goes through P, which means A'C' does as well. It's not possible for AC and A'C' to be parallel.
Check out the diagram shown below.
Side note: point P is the only point that does not move. This is known as the fixed point.
You find 72 coins consisting only of nickels, dimes, and quarters, with a face value of $10.20. However, the coins all date from 1919, and are worth considerably more than their face value. A coin dealer offers you $10 for each nickel, $20 for each dime, and $15 for each quarter, for a total of $1,060. How many nickels did you find?
Answer:
You have found 24 nickels.
Step-by-step explanation:
Let N be the number of nickles, D be the number of dimes and Q be the number of quarters. The number of coins and their face values are given by the following expressions, respectively:
[tex]N+D+Q=72\\0.05N+0.10D+0.25Q=10.20[/tex]
As of now we have three variables and two expressions, the final expression needed to solve the linear system is given by the amount offered by the coin dealer:
[tex]10N+20D+15Q=1,060[/tex]
Solving the linear system:
[tex]N+D+Q=72\\5N+10D+25Q=1,020\\10N+20D+15Q=1,060\\\\10N-10N+20D-20D+15Q-50Q=1,060-(2*1,020)\\-35Q=-980\\Q=28\\\\5N-10N+10D-10D+25Q-10Q=1,020-720\\-5N+15Q=300\\-5N=300-(15*28)\\N=24[/tex]
You have found 24 nickels.
Is -7 an integer or a irrational number ?
Answer:
Integer
Step-by-step explanation:
Integer :a number which is not a fraction; a whole number that can be Positive or negative
Hope this helps.. Good Luck
Find the slope of the line that passes through (3,7)
and (7, 1). Simplify your answer and write it as an
improper fraction, proper fraction or an integer.
Answer:
m = 3/2
Step-by-step explanation:
As we move from (3, 7) to (7, 1), x (the "run") increases by 4 and y (the "rise") decreases by 6. Thus, the slope of the line passing thru these two points is
m = rise / run = 6/4 = 3/2
The average age of all students at a certain college is 22 years and the standard deviation is 2 years. What is the probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years
Answer:
The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159
Step-by-step explanation:
According to the given data we have the following:
mean = μ= 22
standard deviation = σ = 2
n = 100
μx = 22
σx=σ/√n=2/√100=0.2
Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2
=P(z<-1)
= 0.159
The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159
Which is equivalent to 3/8*1/4x
Answer:
9 1/2
Step-by-step explanation:
Answer:
[tex]\frac{3x}{32}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}\times \frac{1}{4}x[/tex]
[tex]\frac{3\times \:1\times \:x}{8\times \:4}[/tex]
[tex]=\frac{3x}{32}[/tex]
Please answer this correctly
Answer:
9 people
Step-by-step explanation:
37, 39, 41, 46, 61, 63, 69, 77, 80
9 people waited more than 36 minutes.
A triangle is rotated 90° about the orgin. Which rule describes the transformation
Step-by-step explanation:
If a triangle is rotated 90° about the origin.
The rule that describes the transformation is
(x, y) → (–y, x)
Betty can mow a lawn in 20 minutes. Bullwinkle can mow the same lawn in 60 minutes. How long does it take for both Betty and Bullwinkle to mow the lawn if they are working together? Express your answer as a reduced fraction.
Answer:
15 minutes
Step-by-step explanation:
Betty mows at 3 times the speed that Bullwinkle does, so is equivalent to having 3 Bullwinkles in her place. That makes the lawn get mowed as though 4 Bullwinkles were working, so it will take 1/4 the time it takes Bullwinkle to mow the whole yard. 1/4 of 60 minutes is 15 minutes.
Working together, Betty and Bullwinkle will take 15 minutes to mow the lawn.
Flight 4581 travels daily from Pittsburgh to San Antonio. The flight is due into San Antonio at 5:07 p.m. The following list gives the Flight 4581 arrival time relative to 5:07 p.m. (in minutes) for a selection of 9 days. (A negative number means that the flight arrived early.) 21, 39, 37, 25, 6,-6, -4, 40, 37 Send data to Excel
(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. an integer, round your answer to one decimal place.
zero modes
(b) How man ndicate the number of mo vasluers) of the mode modes does the data set have, and what are eir values?
Question:
Flight 4581 travels daily from Pittsburgh to San Antonio. The flight is due into San Antonio at 5:07 p.m. The following list gives the Flight 4581 arrival time relative to 5:07 p.m. (in minutes) for a selection of 9 days. (A negative number means that the flight arrived early.) 21, 39, 37, 25, 6,-6, -4, 40, 37 Send data to Excel
(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. an integer, round your answer to one decimal place.
b) How many modes does the data set have? and what are their values
Answer:
a) 21.2
b) Value of mode = 37
It contains just one mode
Step-by-step explanation:
Given:
x = 21, 39, 37, 25, 6,-6, -4, 40, 37
n = 9
a) Find the mean
Mean is the average value of a dataset.
Mean = Σx/n
Mean = [tex] \frac{21+39+37+25+6+(-6)+(-4)+40+37}{n} [/tex]
[tex] = \frac{195}{9} [/tex]
[tex] = 21.667 [/tex]
The question says one decimal place.
Therefore, mean = 21.7
b) The mode of a dataset is the value that appears most frequently.
We have the following datasets:
21, 39, 37, 25, 6,-6, -4, 40, 37
The value that appears most frequently here is 37.
37 appeared twice while the rest appeared just once.
Therefore the dataset contains just one mode
A school librarian purchases a novel for her library. The publisher claims that the book is written at a 5th grade reading level, but the librarian suspects that the reading level is higher than that. The librarian selects a random sample of 40 pages and uses a standard readability test to assess the reading level of each page. The mean reading level of these pages is 5.2 with a standard deviation of 0.8. Do these data give convincing evidence at the = 0.05 significance level that the average reading level of this novel is greater than 5?
Answer:
[tex]t=\frac{5.2-5}{\frac{0.8}{\sqrt{40}}}=1.58[/tex]
The degrees of freedom are given by:
[tex]df=n-1=40-1=39[/tex]
Thep value for this case would be given by:
[tex]p_v =P(t_{(39)}>1.58)=0.061[/tex]
Since the p value is higher than the significance level of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that true mean is not significantly higher than 5.
Step-by-step explanation:
Information provided
[tex]\bar X=5.2[/tex] represent the sample mean
[tex]s=0.8[/tex] represent the sample standard deviation
[tex]n=40[/tex] sample size
[tex]\mu_o =5[/tex] represent the value to verify
[tex]\alpha=0.05[/tex] represent the significance level
t would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to verify if the true mean is higher than 5, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 5[/tex]
Alternative hypothesis:[tex]\mu > 5[/tex]
The statistic is given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{5.2-5}{\frac{0.8}{\sqrt{40}}}=1.58[/tex]
The degrees of freedom are given by:
[tex]df=n-1=40-1=39[/tex]
Thep value for this case would be given by:
[tex]p_v =P(t_{(39)}>1.58)=0.061[/tex]
Since the p value is higher than the significance level of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that true mean is not significantly higher than 5.
Solve the following and
make sure to write your
answer in scientific
notation.
(1.5 x 105)(5 x 103)
Answer:
7.5* 10^8
Step-by-step explanation:
(1.5 x 10^5)(5 x 10^3)
Multiply the numbers
1.5*5=7.5
Add the exponents
10 ^(5+3) = 10^8
Put back together
7.5* 10^8
This is in scientific notation
Simply -5+2(x-3)+7x :)
Answer:
9x-11
Step-by-step explanation:
-5+2(x-3)+7x
Distribute
-5 +2x -6 +7x
-11 +9x
9x-11
Answer:
[tex]= 9x - 11 \\ [/tex]
Step-by-step explanation:
[tex] - 5 + 2(x - 3) + 7x \\ - 5 + 2x - 6 + 7x \\ - 5 - 6 + 2x + 7x \\ - 11 + 9x \\ = 9x - 11[/tex]
The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 900 voters in the town and found that 60% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is above 56%. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer:
Test statistic z = 2.3839.
P-value = 0.0086.
At a signficance level of 0.05, there is enough evidence to support the claim that the percentage of residents who favor construction is above 56%.
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that the percentage of residents who favor construction is above 56%.
Then, the null and alternative hypothesis are:
[tex]H_0: \pi=0.56\\\\H_a:\pi>0.56[/tex]
The significance level is 0.05.
The sample has a size n=900.
The sample proportion is p=0.6.
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.56*0.44}{900}}\\\\\\ \sigma_p=\sqrt{0.000274}=0.017[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.6-0.56-0.5/900}{0.017}=\dfrac{0.039}{0.017}=2.3839[/tex]
This test is a right-tailed test, so the P-value for this test is calculated as:
[tex]\text{P-value}=P(z>2.3839)=0.0086[/tex]
As the P-value (0.0086) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the percentage of residents who favor construction is above 56%.
Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 3%. If the rate of decay is proportional to the amount of the substance present at time t, determine the half-life of the radioactive substance. (Round your answer to one decimal place.)
The radioactive compound has a half-life of around 3.09 hours.
The period of time needed for a radioactive substance's initial quantity to decay by half is known as its half-life. The half-life of a drug may be calculated as follows if the rate of decay is proportionate to the amount of the substance existing at time t:
Let t be the half-life of the substance, then after t hours, the amount of the substance present will be,
100 mg × [tex]\dfrac{1}{2}[/tex] = 50 mg.
At time 6 hours, the amount of the substance present is,
100 mg × (1 - 3%) = 97 mg.
Given that the amount of material available determines how quickly something degrades,
The half-life can be calculated as follows:
[tex]t = 6 \times \dfrac{50}{ 97} = 3.09 \ hours[/tex]
Therefore, the half-life of the radioactive substance is approximately 3.09 hours.
Learn more about half-life:
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i will give mor points ans please
Answer:
Step-by-step explanation:
| − | = | + 9I
THERE ARE TWO POSSIBILITIES
2x-1=4x+9 and 2x-1=-4x-9
2x-4x=9+1 and 2x+4x=-9+1
-2x=10 and 6x=-8
x=-5 and x=-8/6
x=-5 and x=-4/3
SOLUTION SET ={-5,-4/3}
[tex]\frac{2x-1}{3}-\frac{3x}{4}=\frac{5}{6}\\ taking LCM\\\frac{8x-4-9x}{12}=\frac{5}{6}\\\frac{-1x-24}{12}=\frac{5}{6}\\ by cross multiplication\\6(-1x-4)=12*5\\-6x-24=60\\-6x=60+24\\-6x=84\\\\x=-14\\soltion set {-14}[/tex]
[tex]10+\sqrt{10m-1}=13\\\sqrt{10m-1}=13-10\\\\\sqrt{10m-1}=3\\ taking square on both sides\\10m-1=3^2\\10m-1=9\\10m=9+1\\10m=10\\m=1[/tex]
the number of solution to a linear equation is 1
2(x - 4) = 6 then x is ----7
Solution of | + | = − is ---------13/3,5/3
Given z = 4x – 6y, solve for y.
Answer:
Step-by-step explanation:
-6y+4x=z
-6y=z-4x
y=(z-4x)/-6
Answer:
[tex]y=\frac{z-4x}{-6}[/tex]
Step-by-step explanation:
